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SANDIA REPORT SAND2017-4954 Unlimited Release Printed July 2016 Novel Methods to Determine Feeder Locational PV Hosting Capacity and PV Impact Signatures Matthew J. Reno, Kyle Coogan, John Seuss, Robert J. Broderick Prepared by Sandia National Laboratories Albuquerque, New Mexico 87185 and Livermore, California 94550 Sandia National Laboratories is a multi-program laboratory managed and operated by Sandia Corporation, a wholly owned subsidiary of Lockheed Martin Corporation, for the U.S. Department of Energy's National Nuclear Security Administration under contract DE-AC04-94AL85000. Approved for public release; further dissemination unlimited.

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Page 1: Novel Methods to Determine Feeder Locational PV Hosting ...hosting capacity for PV [11, 16, 17]. Work has also been done to show how hosting capacity is a factor of the distribution

SANDIA REPORT SAND2017-4954 Unlimited Release Printed July 2016

Novel Methods to Determine Feeder Locational PV Hosting Capacity and PV Impact Signatures

Matthew J. Reno, Kyle Coogan, John Seuss, Robert J. Broderick

Prepared by Sandia National Laboratories Albuquerque, New Mexico 87185 and Livermore, California 94550

Sandia National Laboratories is a multi-program laboratory managed and operated by Sandia Corporation, a wholly owned subsidiary of Lockheed Martin Corporation, for the U.S. Department of Energy's National Nuclear Security Administration under contract DE-AC04-94AL85000. Approved for public release; further dissemination unlimited.

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2

Issued by Sandia National Laboratories, operated for the United States Department of Energy

by Sandia Corporation.

NOTICE: This report was prepared as an account of work sponsored by an agency of the

United States Government. Neither the United States Government, nor any agency thereof, nor

any of their employees, nor any of their contractors, subcontractors, or their employees, make

any warranty, express or implied, or assume any legal liability or responsibility for the accuracy,

completeness, or usefulness of any information, apparatus, product, or process disclosed, or

represent that its use would not infringe privately owned rights. Reference herein to any specific

commercial product, process, or service by trade name, trademark, manufacturer, or otherwise,

does not necessarily constitute or imply its endorsement, recommendation, or favoring by the

United States Government, any agency thereof, or any of their contractors or subcontractors.

The views and opinions expressed herein do not necessarily state or reflect those of the United

States Government, any agency thereof, or any of their contractors.

Printed in the United States of America. This report has been reproduced directly from the best

available copy.

Available to DOE and DOE contractors from

U.S. Department of Energy

Office of Scientific and Technical Information

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SAND2017-4954

Unlimited Release

Printed July 2016

Novel Methods to Determine Feeder Locational PV Hosting Capacity and PV Impact Signatures

Matthew J. Reno, Robert J. Broderick

Photovoltaics and Distributed Systems Integration

Sandia National Laboratories

P.O. Box 5800

Albuquerque, New Mexico 87185-1033

Kyle Coogan, John Seuss

School of Electrical and Computer Engineering

Georgia Institute of Technology

777 Atlantic Drive NW

Atlanta, GA 30332-0250

Abstract

Often PV hosting capacity analysis is performed for a limited number of distribution feeders. For

medium-voltage distribution feeders, previous results generally analyze less than 20 feeders, and

then the results are extrapolated out to similar types of feeders. Previous hosting capacity research

has often focused on determining a single value for the hosting capacity for the entire feeder,

whereas this research expands previous hosting capacity work to investigate all the regions of the

feeder that may allow many different hosting capacity values with an idea called locational hosting

capacity (LHC)to determine the largest PV size that can be interconnected at different locations

(buses) on the study feeders.

This report discusses novel methods for analyzing PV interconnections with advanced simulation

methods. The focus is feeder and location-specific impacts of PV that determine the locational

PV hosting capacity. Feeder PV impact signature are used to more precisely determine the local

maximum hosting capacity of individual areas of the feeder. The feeder signature provides

improved interconnection screening with certain zones that show the risk of impact to the

distribution feeder from PV interconnections.

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CONTENTS

1. INTRODUCTION.................................................................................................................... 9

2. METHODOLOGY ................................................................................................................ 11

2.1. Looping through Scenarios ............................................................................................. 11

2.2. Violations ........................................................................................................................ 12

2.2.1. Steady-State Simulation .................................................................................... 12 2.2.1.1. Voltage Violations ........................................................................... 12 2.2.1.2. Thermal Violations .......................................................................... 13 2.2.1.3. Different Times of Year ................................................................... 13 2.2.1.4. State of Voltage Regulators and Capacitors .................................... 14

2.2.2. Protection........................................................................................................... 18

2.2.3. Temporary Over-Voltage .................................................................................. 20

2.2.4. Violations in the Basecase ................................................................................. 24

2.3. Overall Methodology ...................................................................................................... 25

3. FEEDER PV HOSTING CAPACITY ................................................................................. 27

3.1. Locational Hosting Capacity ........................................................................................... 27

3.2. Determining Feeder PV Impact Signatures .................................................................... 27

3.3. Feeder PV Impact Zones ................................................................................................. 29

4. CHARACTERISTICS OF 50 DISTRIBUTION FEEDERS ............................................. 31

5. RESULTS ............................................................................................................................... 37

5.1. Discussion of the Results for Each Feeder ..................................................................... 37

5.2. Overview of Feeder Results ............................................................................................ 41

5.3. Results For Each Feeder ................................................................................................. 43

6. CONCLUSION ...................................................................................................................... 95

7. REFERENCES ....................................................................................................................... 96

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FIGURES

Figure 1. Flow chart of methodology. .......................................................................................... 11

Figure 2. ANSI C84.1 Voltage Ranges ......................................................................................... 13

Figure 3. 32-tap VREG with 2 V bandwidth illustrating multiple possible solution states for tap

position and the top/bottom of band solution algorithm. ............................................. 15

Figure 4. Capacitor state voltage hysteresis. ................................................................................. 15

Figure 5. Circuit plots for ML1 contoured by bus voltage (120V-base) with the regulators set to a)

the top of their bands and b) the bottom of their bands ............................................... 16

Figure 6. Circuit plots for J1 contoured by bus voltage (120V-base) with the regulators set to a)

the top of their bands and b) the bottom of their bands ............................................... 17

Figure 7. ML1 at 70% load showing locational hosting capacity with voltage regulation locked at

a) the basecase top-of-band and b) the basecase bottom-of-band ................................ 17

Figure 8. (a) Example of PV causing under-reach in breaker (b) Example of increased current seen

by breaker causing coordination loss. .......................................................................... 19

Figure 9. (a) Example of PV causing sympathetic tripping by back-feeding PDs to supply a nearby

fault (b) Example of PV causing nuisance tripping by feeding a fault within its own

network. ........................................................................................................................ 19

Figure 10. Fault types considered for analysis (a) Single-line-to-ground (1LG) (b) Three-line-to-

ground (3LG) (c) Line-to-Line (LL) (d) Two-line-to-ground (2LG)........................... 20

Figure 11. Circuit plots for Murray Lake at full load contoured by bus voltage (120V-base) with a

2.5MW PV system and voltage regulation at the top of their bands shown for the 4

different solve modes: a) Steady-state b) PV down ramp c) Steady-state before up ramp

d) PV up ramp .............................................................................................................. 22

Figure 12. Circuit plots for J1 at full load contoured by bus voltage (120V-base) with a 2.5MW

PV system and voltage regulation at the top of their bands shown for the 4 different

solve modes: a) Steady-state b) PV down ramp c) PV steady-state before up ramp d) PV

up ramp......................................................................................................................... 23

Figure 13. ITIC curve for temporary voltage deviations. ............................................................. 24

Figure 14. Flow chart of solution methodology for hosting capacity for single large PV plants. 26

Figure 15. Locational hosting capacities for Ckt5. ....................................................................... 27

Figure 16. Feeder regions legend. ................................................................................................. 28

Figure 17. Feeder signatures for a) Ckt5 and b) Ckt7................................................................... 28

Figure 18. Feeder signatures for a) J1 and b) ML1....................................................................... 29

Figure 19. Feeder interconnection zone map of 3-phase line sections for a 6 MW PV plant on Ckt5.

...................................................................................................................................... 30

Figure 20. Pie chart of the voltage class of the 50 feeders. .......................................................... 32

Figure 21. Histogram of the number of voltage regulators on each of the 50 feeders. ................. 32

Figure 22. Histogram of the number of capacitors on each of the 50 feeders. ............................. 33

Figure 23. Histogram of the peak load (MW) for each of the 50 feeders. .................................... 33

Figure 24. Total 3-phase and 1&2-phase medium-voltage (MV) conductor vs. the farthest 3-phase

bus for each feeder. ...................................................................................................... 34

Figure 25. Feeder QS1 circuit diagram. ........................................................................................ 37

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Figure 26. Feeder QS1 voltage profile for the basecase without PV. ........................................... 38

Figure 27. Feeder QS1 PV impact signature for each violation. .................................................. 39

Figure 28. Feeder QS1 PV impact signature with regions............................................................ 39

Figure 29. Feeder QS1 locational hosting capacity. ..................................................................... 40

Figure 30. QS1 histogram of violation type determining the locational hosting capacity at each

bus. ............................................................................................................................... 40

Figure 31. QS1 histogram of the size of the locational hosting capacity throughout the feeder. . 41

Figure 32. Percent of PV scenarios with violations for the 12-14 kV feeders. ............................. 42

Figure 33. Percent of PV scenarios with violations for the 4 kV feeders. .................................... 43

Figure 34. Percent of PV scenarios with violations for the 16-21 kV feeders. ............................. 43

Figure 35. Percent of PV scenarios with violations for the 33-35 kV feeders. ............................. 43

TABLES

Table 1. Characteristics of Feeders 1 – 25. ................................................................................... 35

Table 2. Characteristics of Feeders 26 – 50. ................................................................................. 36

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NOMENCLATURE

CVR conservation voltage reduction

DG Distributed Generation

DOE Department of Energy

EPRI Electric Power Research Institute

IEEE Institute of Electrical and Electronics Engineers

GMD Geometric Mean Distance

LDC Line Drop Compensation

MW Megawatts (AC)

NREL National Renewable Energy Laboratory

OpenDSS Open Distribution System Simulator™

PCC Point of Common Coupling

pu per unit

PV Photovoltaic

SCADA Supervisory Control and Data Acquisition

WECC Western Electricity Coordinating Council

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1. INTRODUCTION

Large PV installations on the distribution system can have many potential impacts to local

customer power quality and reliability. Conventionally, distribution systems have been designed

for voltage regulation and protection coordination considering one-way power flowing radially

from the substation to the customers. Adding large amounts of distributed generation may cause

two-way power flow changing this historic paradigm and possibly impacting other customers on

the distribution feeder. Rooftop photovoltaic (PV) generation is one of the most common forms

of distributed generation, and the variability and intermittency of solar power increase the

challenges to grid operation. Two common concerns of the interconnection of these systems are

steady-state over-voltage and line-loading violations [1]. PV can also cause issues with voltage

regulation equipment [2, 3], system losses [4], harmonics [5], low voltages [6], voltage flicker [7],

and protection [8].

Before interconnections are approved by utilities, they must go through a screening process to

determine if the impact risk justifies requiring an interconnection impact study to thoroughly

investigate the potential adverse effects of an interconnection [9]. Currently, such impact studies

can be time consuming and expensive, a problem that is only worsened by increasing penetration

levels. With increasing numbers of these installations, it is becoming increasingly important for

utilities to quickly assess and screen for potential interconnection risks of PV systems.

While PV interconnection impact studies typically investigate a specific location and PV size,

another approach is to analyze the entire feeder and determine the feeder’s PV hosting capacity.

The concept of hosting capacity (HC) [10] is used to study how much PV can be placed on a feeder

before negative issues are caused to normal distribution system operation and power quality [1,

11-13]. The results are feeder-specific, but they are generalizable to any PV interconnection

location on the feeder. Using this approach, if the total installed PV on the feeder is less than the

hosting capacity, regardless of location, there will be no significant impact to the grid operations.

EPRI, along with a couple others [14, 15], has performed significant research in the area of feeder

hosting capacity for PV [11, 16, 17]. Work has also been done to show how hosting capacity is a

factor of the distribution parameters and can be increased with PV inverter reactive power control

strategies [18-22]. The PV hosting capacity of a feeder can also be increased using demand

management [23] and active distribution systems [24, 25].

Often PV hosting capacity analysis is performed for a limited number of distribution feeders. For

medium-voltage distribution feeders, previous results generally analyze less than 20 feeders [1,

17], and then the results are extrapolated out to similar types of feeders. Previous hosting capacity

research has often focused on determining a single value for the hosting capacity for the entire

feeder, whereas this research expands previous hosting capacity work to investigate all the regions

of the feeder that may allow many different hosting capacity values with an idea called locational

hosting capacity (LHC) [26, 27] to determine the largest PV size that can be interconnected at

different locations (buses) on the study feeders.

This report discusses novel methods for analyzing PV interconnections with advanced simulation

methods. The focus is feeder and location-specific impacts of PV that determine the locational

PV hosting capacity. Feeder PV impact signature are used to more precisely determine the local

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maximum hosting capacity of individual areas of the feeder. The feeder signature provides

improved interconnection screening with certain zones that show the risk of impact to the

distribution feeder from PV interconnections. These zone maps can be used for interconnection

request screening in a more accurate way that accounts for the feeder characteristics and

interconnection location specific information. The detailed analysis is performed on 50 different

real distribution systems in order to study the variations in PV locational hosting capacity caused

by different circuit characteristics.

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2. METHODOLOGY

The analysis is performed in OpenDSS, an open-source three-phase distribution system simulation

software developed by EPRI [28]. OpenDSS is controlled through the COM interface by

MATLAB using the GridPV toolbox [29, 30]. MATLAB is used for creating and iterating through

each PV scenario as well as for the analysis of the results. OpenDSS is used to solve the power

flow for each case.

This section presents the methodology of analyzing PV interconnections on the distribution system

by size and location to detect when power system operations or quality standards are violated due

to high penetration PV. The concepts are presented for simulating large numbers of potential PV

interconnection locations and sizes in order to determine the PV hosting capacity by increasing the

amount of PV until there are issues.

2.1. Looping through Scenarios

To examine the impact of central PV installations on the feeder, an extensive process is used to

step through all considered locations, storing data from the power flow solution for each scenario.

The set of scenarios include a significant range of system sizes and locations. The focus of the

current methodology is on single, large-scale, central PV plants. Initially, fixed power factor PV

systems producing only real power are considered as they are most common [31], but future work

will consider active voltage control [20, 32, 33]. For each scenario, the worst case is simulated

with the PV system outputting rated power at unity power factor. The basic idea is to place PV at

a location on the feeder and increase the PV size until issue occurs, as shown in the flowchart in

Figure 1.

Figure 1. Flow chart of methodology.

During the power flow and violations check blocks, analysis is performed to determine any

violations or limitations in the distribution system that would not allow the particular

interconnection. These blocks actually represent a series of power flows and tests, as discussed in

the following sections. Each power flow simulation is performed in full detail for the distribution

feeder with hundreds of components, complex voltage regulation controls, and feeder loads

allocated on the secondary system at the end of triplex lines. Each bus is considered individually

to find the maximum possible PV size before a violation occurs.

PV Size = 0Solve Power Flow

Record & Check for Violations

IncreasePV Size

Change Bus

Violation?All Buses

Complete?

Yes Yes

NoNo

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2.2. Violations

PV installations can cause many different issues to distribution system power quality. As PV

penetration increases, these impacts can begin to violate certain operational standards are

requirements. For the analysis, these types of violations are categorized in steady-state issues

(voltage and thermal, system protection issues, and time-based issues such as temporary over-

voltage.

2.2.1. Steady-State Simulation

Steady-state simulations are used to detect issues that may occur at particular points in time. These

snapshot simulations include voltage regulation equipment being allowed to act and reaching

steady-state. In this section, first, the methods for detecting voltage and thermal violations are

shown. Second, the methodology for selecting instants for steady-state analysis is discussed.

Finally, a methodology is presented for handling potential difference in states for voltage

regulators and capacitors.

2.2.1.1. Voltage Violations

All voltages in the system are compared to the ANSI C84.1 Range A standard [34]. As shown in

Figure 2, all voltages in the simulations are also broken into the two service voltage categories

using the 600 V threshold. For the steady-state simulations, the acceptable voltage range is 0.975-

1.05 pu on the primary and 0.95-1.05 pu on the secondary. Anything above this range is considered

an over-voltage violation, and any voltage below is an under-voltage violation. The ANSI Range

A is used for steady-state simulations because the voltage regulation equipment has acted and any

violations would likely persist over the ANSI 10-minute voltage average. The voltage analysis is

applied per phase for every bus on the feeder. For the standard 3-phase 4-wire feeder, the voltages

are measured as line-to-ground or line-to-neutral voltages. For 3-wire feeders without a neutral

conductors, the ANSI range is applied to the line-to-line voltages.

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Figure 2. ANSI C84.1 Voltage Ranges

ANSI C84.1 Figure Notes:

a) The shaded portions of the ranges do not apply to circuits supplying lighting loads

b) The shaded portion of the range does not apply to 120 V - 600 V systems

c) The difference between minimum service and minimum utilization voltages is intended to

allow for voltage drop in the customer’s wiring system. This difference is greater for service

at more than 600 volts to allow for additional voltage drop in transformations between service

voltage and utilization equipment.

2.2.1.2. Thermal Violations

Thermal violations are defined as conditions when the current flowing in a conductor is greater

than its normal ampacity rating. Thermal violations are also applied to transformers based on their

normal kVA rating. For each steady-state simulation, the power flow results are compared to the

normal thermal rating to flag any violations.

2.2.1.3. Different Times of Year

The best method to analyze for voltage or thermal issues occurring because of PV would be to

simulate a year quasi-static time-series (QSTS) analysis with the feeder load data and PV output

data [9]. While this would comprehensively demonstrate if, and how long, there could be issues

on the feeder, this type of analysis is very computationally intensive. Simulating a single PV

scenario could take hours, and the goal is to effectively analyze thousands of potential PV scenarios

on the feeder. One method to reduce the data and computational requirements is to focus on a

smaller number of critical or salient distribution operating points, such as peak daytime circuit

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load, minimum daytime circuit load, maximum PV generation, and maximum instantaneous

penetration [35]. Similar to [11], this analysis uses the most extreme cases to bookend the analysis,

meaning if no issues occur in the simulated snapshots, then there must not be issues the rest of the

year. For these extreme cases, full rated PV output is used as the worst case. Simulations are

performed for a range of potential feeder load values that occur during daytime hours of 10am to

2pm in the year [36], bookended by the maximum and minimum load values during these hours

when PV output is high. With the detailed simulations, it is known if a particular PV

interconnection could potentially cause issues to the operation of the feeder during the year.

2.2.1.4. State of Voltage Regulators and Capacitors

For a steady-state snapshot simulation at any given time period, there are many different states the

feeder could be in as far as regulation equipment taps and switching capacitor states. All potential

states of the feeder must be simulated to detect for violations. The analysis methodology is

described to include voltage regulation equipment, such as substation load tap changers (LTC),

line voltage regulators (VREG), and switching capacitors, to consider and test the range of

potential states that are within the control limits of the regulators and capacitors.

For stochastic steady-state simulations, the actual system state (regulator tap position and capacitor

connection) is unknown and could be in several different but equally likely states. This is due to

the fact that all voltage regulation equipment (LTC’s, VREG’s, switching capacitors) have a

voltage regulation setpoint and a voltage band around this setpoint, which are set to maintain the

voltage within the voltage band. To prevent an excessive number of operations for the physical

hardware that contributes to degradation and wear, the bands on the voltage regulation equipment

are set to be fairly large. Having a large regulation band also helps prevent the hardware from

nuisance changes, which are when the voltage regulation equipment operates only to have to

operate again because the initial operation was over-corrective. If several voltage regulators are

in series with each other along the feeder, the regulation band provides a buffer so that every time

one regulator changes taps, every other regulator in the series does not also have to change taps.

The presence of the voltage regulation bands means that a given power flow can have several

solutions, each equally valid depending on the states of the voltage regulation controls. For

example, consider the most common voltage regulator, which is a 32-tap transformer that can

regulate the voltage ±0.1 pu and has a 2 V bandwidth. Each tap change increases the voltage by

0.0063 pu. The 2 V bandwidth on a 120 V base is equivalent to 0.0167 pu. This results in regularly

having three valid power flow solutions, one for having the voltage regulator on each of the three

taps in the bandwidth. An example is shown in Figure 3a where taps 1R, N, and 1L are all inside

the voltage control band.

The number of possible solutions increases with a series of VREG’s downstream of each other in

succession on a long feeder. For example, if the upstream voltage regulator picks the tap near the

top of the band, the downstream voltage regulator could have new possible solutions at lower tap

positions.

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Figure 3. 32-tap VREG with 2 V bandwidth illustrating multiple possible solution states for tap

position and the top/bottom of band solution algorithm.

Switching capacitors in voltage control mode also have a deadband, or hysteresis, in order to avoid

constant switching. Capacitors are generally set to connect to a grid at a low voltage and

disconnect from the grid at a high voltage. In between the on and off voltage thresholds, the

capacitor could be in either the connected or disconnected state due to the hysteresis control. This

is shown in Figure 4.

Figure 4. Capacitor state voltage hysteresis.

For distribution system simulations, generally the state of the capacitor and VREG tap can be

found using external information. Historical SCADA data can include the state of the system for

each time period, or analysis of SCADA power data can be used to detect switching events. When

performing timeseries simulations, the particular tap at each instant is dependent on the previous

state, so the tap is known from the historical load profile and the correct VREG control algorithm

implemented in simulation. The possibility of several valid solutions on different taps creates an

issue for the hosting capacity analysis methodology because the impact of PV to the distribution

system is studied using steady-state snapshot simulations. There is no historical information, either

SCADA or previous simulation timesteps, to know which tap each voltage regulation device

should be on inside the allowed voltage bands. To prevent this uncertainty, we developed a method

VREG

Setpoint

VREGBand

Tap 1R

Tap N

Tap 1L

Ori

gin

al 2 V

olt

Ban

dw

idth

0.0063 pu

VREGBands

Tap 1R

Tap N

Tap 1L

0.0063 pu

Top

Setpoint

Bottom

Setpoint

New

0.4

Vo

lt B

an

dw

idth

s

Voltage Turn OffTurn On

Voltage Controlled Capacitor State

Disconnected

Connected

Ca

pa

cit

or

Sta

te

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to investigate each scenario with all voltage regulation at both the top of band and the bottom of

band separately. Each power flow solution and check for violations includes two independent

power flow solutions at each side of the band to represent all valid power flow solutions. For

voltage regulators, the tap is forced to the top of band or bottom of band by reducing the bandwidth

of the control and changing the VREG setpoint for each top/bottom of band power flow solution.

This is illustrated in Figure 3b. If the voltage control capacitors are within their hysteresis band,

they are also checked for both the on and off state. The top of band solution represents the high

voltage extremes, so the capacitors are connected if they are in the band. For bottom of band

solutions, the capacitors in the hysteresis band are set to off. Every PV scenario is solved for both

top and bottom of band control points.

The differences in the feeder voltage profile depending on the top or bottom of band can be

substantial. An example of the top and bottom of band voltages for feeder ML1 are shown in

Figure 5. The substation LTC in ML1 has a set-point of 121.8V (LDC at R=6 V and X=2 V) with

a 3.15V band on a 120V-base. Figure 5a shows ML1’s LTC being forced to the top of the

regulating band while Figure 5b shows it being forced to the bottom of the band. An example is

also shown for J1 in Figure 6. J1’s substation LTC and 3 voltage regulators all have a voltage set-

point of 124V and a bandwidth of 2V on a 120V-base. Figure 6a shows the circuit being forced to

the top of the regulating band while Figure 6b shows it being forced to the bottom of the band.

Figure 5. Circuit plots for ML1 contoured by bus voltage (120V-base) with the regulators set to a)

the top of their bands and b) the bottom of their bands

(a) Top

(b) Bottom

121

121.5

122

122.5

123

123.5

124

124.5

125

125.5

126

126.5

Substation

LTC/VREG

Step Transformer

Fixed Capacitor

Switching Capacitor

121

121.5

122

122.5

123

123.5

124

124.5

125

125.5

126

126.5

Substation

LTC/VREG

Step Transformer

Fixed Capacitor

Switching Capacitor

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Figure 6. Circuit plots for J1 contoured by bus voltage (120V-base) with the regulators set to a) the

top of their bands and b) the bottom of their bands

With multiple possible taps inside the control band, the voltages in the system and hosting capacity

of PV can be significantly impacted by which tap is selected in the power flow solutions. As an

example of the implications of voltage regulation being at the top or bottom of their bands, Figure

7a demonstrates the locational hosting capacity of Murray Lake if all of the voltage regulation

equipment is forced to the top-of-band while Figure 7b shows the locational hosting capacity if all

of the voltage regulation equipment is forced to the bottom-of-band. In both simulations the

voltage regulation equipment is locked on the specific tap at the top or bottom of band in the

basecase and not allowed to change during the analysis. Over-voltage violations are considered

for bus voltages outside ANSI Range A and thermal violations are considered at 100% of

component rating. For the former, the average hosting capacity is 5.73 MW. For the latter, it is

11.51 MW. This shows a more than 100% increase in average hosting capacity for this feeder.

Moreover, the top-of-band scenario has 94% of its buses’ hosting capacities dictated by steady-

state over voltages. Conversely, the bottom-of-band case has 90% of its buses’ hosting capacities

determined by line loading. Clearly, there is a profound effect of tap choice in hosting capacity

evaluation. Therefore, it is imperative to account for it in such an analysis.

Figure 7. ML1 at 70% load showing locational hosting capacity with voltage regulation locked at a)

the basecase top-of-band and b) the basecase bottom-of-band

(a) Top

(b) Bottom

118

119

120

121

122

123

124

125

Substation

LTC/VREG

Fixed Capacitor

Switching Capacitor

118

119

120

121

122

123

124

125

Substation

LTC/VREG

Fixed Capacitor

Switching Capacitor

(a) Top

(b) Bottom

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18

2.2.2. Protection

Another major area of concern is how PV systems will impact the effectiveness of utility protection

equipment. It has been shown that PV generation can impact the fault current seen by protection

devices (PDs) [37]. This can adversely affect the protection zone of a PD as well as the time-

dependent coordination between PDs [38]. Further studies have looked at the potential disruption

caused by fault currents contributed by PV systems [39-41].

The scope of protection analysis is limited to steady-state analysis of distribution networks under

fault conditions, so any issues that require the dynamic or time-domain simulation of the PV

system in the distribution network are not considered. Also not considered are islanding issues and

other PV system protection since these are focused on the PV devices. The implementation and

methodology are described in more detail in [42, 43]. The four possible protection violations

arising from steady-state PV fault current injection are: protection under-reach, PD coordination

loss, nuisance tripping, and sympathetic tripping.

Protection under-reach: The protection zone of a PD is the distance into the feeder it can

“see” a fault because the fault current is greater than the minimum pick-up current of that PD.

Both phase and ground currents are considered. Certain placements of PV systems can

diminish this zone by partially supplying the fault current rather than the transmission network.

A PD will experience “under-reach” when a PV placement causes a bus in its zone to no longer

trip the PD while faulted. An under-reach violation occurs when a fault that caused a PD to

trip in the base case is no longer picked up by any PD. If this occurs, an investment is required

to re-engineer the protection zone or place more PDs, else risk damaging utility and customer

equipment [37]. A graphical example of a PD failing experiencing decreased fault current due

to a PV on the network is shown in Figure 8(a).

Loss of coordination: Similarly, a PV system placed upstream of a PD can increase the fault

current seen by the PD. Therefore if a PV system is between two PDs, it may cause the

downstream PD to trip before the upstream PD [38]. In the case of reclosers with “fuse-saving”

fast trip settings, tripping the downstream fuse will result in a longer outage than necessary

[44]. The converse is also possible with an upstream PD tripping before a downstream PD

which results in a greater number of customers losing power unnecessarily. In this research, it

is assumed that the PV system fault current will remain constant for the duration of the fault

until a PD clears it. This is not an unreasonable assumption since the fast transient of the PV

system only lasts a few cycles [37] while the fastest a time-characteristic curve (TCC) that

determines when a substation breaker will operate is several times slower than this transient.

Using this assumption, the trip time of each PD is calculated using each PD’s unique phase

and ground TCCs. This is done for each potential fault type and location under each PV

interconnection considered, and a “coordination violation” is declared if an upstream PD trips

for a fault downstream of a PD downstream of it. Only under this scenario will a larger number

of customers be without power than in the base case with no PV. Fuse-saving failures are not

considered in this research. A hypothetical example of an upstream PD picking up before a

downstream PD due to their respective TCCs is provided in Figure 8(b).

Nuisance tripping: There is a concern that since most distribution PDs do not have directional

sensing, reverse current from PV systems during a fault may be large enough to trip a PD’s

minimum pick-up. This issue occurs when the fault current of a PV causes a PD to trip in error

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19

due to reverse current flow. This can happen in two ways. Under normal operation, a PV can

simply be so large that its rated current can pick up the PD under light loading conditions.

Under a fault, a nuisance tripping violation occurs only when the PD tripping on reverse current

trips faster than the PD designed to clear the fault and the fault must not be located downstream

of the PD tripping in error. A graphical depiction of nuisance tripping is shown in Figure 9(b).

Sympathetic tripping: A similar case to nuisance tripping is due to a fault on a neighboring

circuit that has additional fault current supplied by PV systems and trips a PD on their own

feeder. To test this issue, a short line is placed at the substation and faulted to simulate a close

fault on a nearby feeder resulting in reverse current from the PV. A violation occurs when any

PD in the network picks up on its minimum trip setting for a particular PV size. A graphical

depiction of sympathetic tripping is shown in Figure 9(a).

Figure 8. (a) Example of PV causing under-reach in breaker (b) Example of increased current seen

by breaker causing coordination loss.

Figure 9. (a) Example of PV causing sympathetic tripping by back-feeding PDs to supply a nearby

fault (b) Example of PV causing nuisance tripping by feeding a fault within its own network.

B

PVIfault

(a) (b)

R

B B

Substation

PV

IPV

Ifault

(a)

R

PV

IfaultRIPV

(b)

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20

Each of the tests is checked under the four fault types shown in Figure 10, where the network

phases are depicted as bold black lines, ground as a dashed line, and the faulted connections in red.

For each fault type, f, a 0.0001Ω resistance is placed between the appropriate phases and ground

as depicted in Figure 10. Only medium-voltage (MV) buses are considered for fault locations since

the fuses at the secondary transformer are not modeled and are presumed to trip for any fault on

the secondary network since PV are not being tested on the secondary network and should

therefore not interfere. The 1LG fault is tested at all MV buses, the 2LG and LL fault types are

placed at buses with at least two-phases, and 3LG faults are placed at three-phase buses.

Figure 10. Fault types considered for analysis (a) Single-line-to-ground (1LG) (b) Three-line-to-

ground (3LG) (c) Line-to-Line (LL) (d) Two-line-to-ground (2LG)

If any issue of protection under-reach, coordination loss, nuisance tripping, or sympathetic tripping

are detected during a fault, this is classified as a protection violation that limits the amount of PV

that can interconnected on the distribution system.

For the protection analysis, the PV is modelled as unbalanced 3-phase wye-connected constant-

power current-limited source that approximates an inverter. The PV injected fault current is

limited to 2pu of the rated output. The PV system is connected with a wye-wye interconnection

step-up transformer. For more details on modelling the PV system under fault conditions in

OpenDSS, see [42].

Each PV interconnection is tested at all MV three-phase buses. This results in a significant number

of fault analysis simulations, approximately calculated as: (the number of potential PV

interconnection locations) * (the number of potential fault locations) * (the number of possible

fault types) * (the number of possible PV sizes). In order to reduce the computational burden, the

fault current for each phase of each PD is approximated by fitting a third-order polynomial to each

PV location and fault type and location [42]. The number of test buses is also reduced by using a

reduced order network model [45].

Due to limitations in the distribution models received from some utilities, the protection analysis

is only included in this report for feeders QS1, QL1, QL2, QN1, QB1, and QW1. It should also

be noted that this research currently only considers the substation breaker and network reclosers

as PDs.

2.2.3. Temporary Over-Voltage

In order to accurately characterize extreme voltages that may occur on the feeder due to PV, it is

necessary to simulate ramps in PV power to detect any potential temporary over-voltage (TOV)

conditions that may occur before the regulators react after their delay period. Solar irradiance can

have very large variability and significant quick ramp rates. While, the size of the geographical

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21

footprint of the PV plant can smooth the expected variability compared to a point irradiance sensor

[46], the power output can still ramp many MW’s in a minute under extreme cases. For the

distribution system, the short-term variability is significant because it can occur faster than the

voltage regulation equipment can react. Most voltage regulation equipment has a delay of 30 to

90 seconds, so the 1-minute ramp ramps provide a reasonable comparison for the magnitude that

PV can change before the distribution system has reacted. To analyze the impact of PV variability

on the distribution system, the worst case scenarios with the highest ramp rates are studied.

Looking at the top 0.1% of 1-minute ramps, a 32 MW plant can ramp more than 10.56 MW, and

a 24.5 MW plant can ramp 8.58 MW [47]. Similarly, a 80 MW plant can ramp more than 14.4

MW in a minute [47]. From this, it is assumed that a large plant can ramp approximately 10 MW

in the time delay of the distribution system.

For smaller plants, the per-unit ramp rates are higher, but the ramp in MW per minute is smaller.

Small systems generally have 99.9% of their ramp rates under 50% of capacity. The worst ramp

can be higher almost up to 70%, but almost all systems have a 1-minute ramp rate of 0.5 at 99.9%.

This can be seen for a 5 MW system in [47], a 4.5 MW system in [47], 13.2 MW system in [48],

and three systems greater than 10 MW in [49].

To simulate the impact of extreme PV power output ramps rates, a simple formula is used to

calculate the ramp size. For smaller systems under 20 MW, a 50% ramp magnitude is studied.

For larger systems greater than 20 MW, a 10 MW ramp magnitude is used in simulation. Both up

ramps and down ramps are simulated for system impact. For the up ramp, the appropriate ramp

magnitude is subtracted from the total PV size and OpenDSS is used to solve for the state of the

voltage regulation equipment at the smaller PV output. The voltage regulation equipment is then

locked and the PV output is increased to full output. The down ramps are studied using a similar

method of locking the voltage regulation equipment at full PV output and decreasing the PV size

by the ramp magnitude. This is done for every PV deployment size, location, load level, and feeder

state performed for steady-state analysis discussed in Section 2.2.1.

The effect of PV ramping events is demonstrated on the voltage profile after up and down ramps.

Feeder ML1 is shown in Figure 11 and J1 is shown in Figure 12. A 2.5 MW PV plant was placed

on both feeders, as shown by the star on each plot. Voltage regulation in each case is being forced

to the top of their bands.

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22

Figure 11. Circuit plots for Murray Lake at full load contoured by bus voltage (120V-base) with a 2.5MW PV system and voltage regulation at the top of their bands shown for the 4 different solve modes: a) Steady-state b) PV down ramp c) Steady-state before up ramp d) PV up ramp

Power Flow SolutionsWith Voltage Controls Acting

Power Flow SolutionsWith Voltage Controls Locked

123.3

123.4

123.5

123.6

123.7

123.8

123.9

124

Substation

PV PCC

LTC/VREG

Step Transformer

Fixed Capacitor

Switching Capacitor

123.3

123.4

123.5

123.6

123.7

123.8

123.9

124

Substation

PV PCC

LTC/VREG

Step Transformer

Fixed Capacitor

Switching Capacitor

123.3

123.4

123.5

123.6

123.7

123.8

123.9

124

Substation

PV PCC

LTC/VREG

Step Transformer

Fixed Capacitor

Switching Capacitor

123.3

123.4

123.5

123.6

123.7

123.8

123.9

124

Substation

PV PCC

LTC/VREG

Step Transformer

Fixed Capacitor

Switching Capacitor

Lock Controls and Ramp PV Down

Lock Controls and Ramp PV Up

(a) Steady-State

(c) Intermediate Low PV (d) Ramp Up

(b) Ramp Down

Full PV Half PV

Half PV Full PV

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23

Figure 12. Circuit plots for J1 at full load contoured by bus voltage (120V-base) with a 2.5MW PV system and voltage regulation at the top of their bands shown for the 4 different solve modes: a)

Steady-state b) PV down ramp c) PV steady-state before up ramp d) PV up ramp

Figure 11a and Figure 12a depict the results of a steady-state solve. For this solve mode, the PV is

outputting rated power and the voltage regulation equipment is allowed to act freely, so as to settle

into a steady-state solution at the top of the regulations bands. Once this steady-state solution is

obtained and the pertinent data is recorded, the regulation equipment is locked. The PV system is

then set to output half of its rated power (if the PV system’s rated power is above 10MW, then it

is set to output its rated power minus 10MW). After solving, we obtain the plots shown in Figure

11b and Figure 12b. The overall voltage profile of each feeder has decreased.

Now, with the PV system still outputting half its rated power, we once again allow the regulation

equipment to act freely, obtaining a steady-state solution for the half-PV case. This solution is

shown in Figure 11c and Figure 12c. This change allows the voltage profile to return to a state

more similar to those shown in Figure 11a and Figure 12a. Lastly, to simulate an up ramp, the

regulation equipment is now locked, and the PV system is set to output its rated power. The results

of this are shown in Figure 11d and Figure 12d. As expected, this results in the most extreme high

voltages in the figures.

Power Flow SolutionsWith Voltage Controls Acting

Power Flow SolutionsWith Voltage Controls Locked

119

120

121

122

123

124

125

Substation

PV PCC

LTC/VREG

Fixed Capacitor

Switching Capacitor

120

121

122

123

124

125

Substation

PV PCC

LTC/VREG

Fixed Capacitor

Switching Capacitor

120

121

122

123

124

125

Substation

PV PCC

LTC/VREG

Fixed Capacitor

Switching Capacitor

120

121

122

123

124

125

Substation

PV PCC

LTC/VREG

Fixed Capacitor

Switching Capacitor

Lock Controls and Ramp PV Down

Lock Controls and Ramp PV Up

(a) Steady-State

(c) Intermediate Low PV (d) Ramp Up

(b) Ramp Down

Full PV Half PV

Half PV FullPV

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24

While ramping events create more extreme voltages, they are also only temporary. For example,

after 45 seconds, Figure 12d will return to Figure 12a as the regulators change taps. The temporary

over-voltages (TOV) should not be compared to the ANSI C84.1 Range A standard (voltage must

be less than 1.05 pu) that applies to 10-minute average voltage in normal conditions. Since a ramp

would be a temporary voltage violation and deviation of around 30 seconds until the voltage

regulation equipment operates, the CBEMA or ITIC curve is used [50]. Assuming the temporary

over-voltage lasts at least 0.5 second, the limit is 1.1 pu voltage. For under-voltage, a temporary

under-voltage is considered anything less than 0.9 pu voltage, since voltage control actions are

often around 30 seconds later when voltage regulation equipment will bring the voltage back into

ANSI Range A.

Figure 13. ITIC curve for temporary voltage deviations.

2.2.4. Violations in the Basecase

For some feeders at certain load levels, violations exist on the feeder before PV is even added.

This could cause the simulations to end immediately and the hosting capacity to be listed as zero

PV that can be added to the feeder, due to the pre-existing violation. In some cases, the violation

is an under-voltage, and PV actually improves the voltage, alleviating the violation at higher

penetration levels. Situations like this should not classify the PV hosting capacity as zero, even

though there is a violation. In other words, if the utility has allowed specific voltages or line

loading on the feeder (even if it is slightly overloaded or outside standards), PV interconnections

should be allowed as long as they improve the state of the feeder.

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25

For each violations analysis, the basecase values are stored for each load level. For example, the

voltage at each bus will be compared to the voltage at that bus in the basecase. If the increase in

PV system size is alleviating the violation (decreasing a maximum voltage / increasing a minimum

voltage), the analysis does not consider this a violation caused by PV, even though the values are

outside the standards. The same methodology is applied for the thermal loading of each line and

transformer. The simulation proceeds to increase the PV system size until the hosting capacity is

reached when values are outside standards and any values being checked for violations are worse

than the basecase.

2.3. Overall Methodology

For each PV scenario, a series of simulations is performed to determine if that particular scenario

would cause issues on the distribution system. The simulations include a range of load values that

occur during daytime hours throughout the year, a range of feeder states as far as regulation

equipment taps and switching capacitor states, and simulation of extreme PV output ramps. For

the protection analysis a range of fault locations and types are simulated to detect potential issues

for any possible fault. The standards and methodology for defining a violation was described

previously in Section 2.2.

The flow chart in Figure 14 shows the entire hosting capacity methodology for analyzing each bus

location by increasing the PV size until there is a violation. The four power flow solutions are

shown for steady state of PV output, a down ramp, and an up ramp in PV output. The loop for

trying the possible extreme ends of the power flow solutions inside the band of each voltage

regulator device is shown when the VREG’s and capacitors are set to bottom of band and then top

of band. This is all inside a loop that first solves under the extreme peak load that occurred during

daylight hours, and then again for the minimum daytime load period. Finally, the protection

analysis checks all fault locations and types to detect any issues of under-reach, loss of

coordination, nuisance tripping, or sympathetic tripping.

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26

Figure 14. Flow chart of solution methodology for hosting capacity for single large PV plants.

PV Size = 0

IncreasePV Size

Change PV Bus

Violations?

All Buses Complete?

Yes

Yes

No

No

Set Controls Bottom of

BandLock Vregs

Solve & Record

Unlocked Solve

Reset PV Size

Solve & Record

Set Controls Top of Band

Unlocked Solve & Record

PV Size – Ramp Size

Lock VregsTop & Bottom

Complete?

No

Yes

PV Down RampSteady State

PV Up Ramp

Place Fault In System

SolveRecord Trip

TimesCheck

Violations

All Fault Types &

Locations Tested?

Change Fault Type/

Location

Protection Analysis

Set Daytime Peak Load

Peak and Min Load

Complete?

No

Yes

Set Daytime Min Load

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27

3. FEEDER PV HOSTING CAPACITY

3.1. Locational Hosting Capacity

After analyzing the effect of different PV sizes and locations on the distribution system power

quality and operations, the results can be compiled to determine when violations occur. The

maximum amount of PV that can be interconnected at a location before a violation is called the

locational hosting capacity. The maximum possible PV system sizes are plotted on the circuit

topology, shown in Figure 15, varying marker color to correspond to relative maximum system

size. The shape of the marker demonstrates the type of violation that limited the locational hosting

capacity at that bus. For example, the upward-pointing triangles marking over-voltages are at the

ends of the feeder. Looking at this figure it is quickly apparent which parts of the feeder can handle

more PV and the optimal locations that will have little impact.

Figure 15. Locational hosting capacities for Ckt5.

3.2. Determining Feeder PV Impact Signatures

In order to improve the interconnection study process, the use of feeder PV impact signatures are

proposed to group feeders by allowable PV size as well as by their limiting factors for the

interconnection [51]. The feeder signature separates feeders into different impact regions with

varying levels of PV interconnection risk, accounting for impact mitigation strategies and

associated costs. After performing the analysis of hundreds of thousands of PV scenarios, the

results can begin to be classified by how often a given PV size is permissible at different locations

around the feeder. The figures below (Figure 17 - Figure 18) classify the violations into regions

based on either voltage or thermal violations. The definition for each region is shown in Figure

16. Region A and Region B both contain allowed interconnection locations that have no violations.

Region A is the area that would be found using a total feeder hosting capacity approach that would

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28

give one number for the maximum allowed PV anywhere on the feeder. Region A includes the

PV sizes below which a system could be interconnected anywhere on the feeder without further

investigation. The other regions refer to system sizes that require further consideration before

determining the feasibility of a PV system. Region B contains interconnections that are ultimately

allowed but must use some locational details such as PCC distance to the substation and/or

conductor type before making this assessment. Regions C, D, and E all include interconnections

that have at least one violation and therefore cannot be connected given the current state of the

feeder without some mitigation. Regions C, D, and E contain interconnections that respectively

result in either only voltage violations, only thermal violations, or both voltage and thermal

violations.

Figure 16. Feeder regions legend.

The feeder signatures (Figure 17 – Figure 18) show the differences between the feeders in the

defining factors for their areas of risk. The best way to analyze the figures is to look at individual

vertical slices in the graph. For example, for the vertical profile of a 5 MW PV interconnection on

Ckt7, 11% of the possible interconnection buses are in Region E, 55% are in Region D, and 34%

are in Region B. Ckt7 is almost entirely defined by line thermal limits, which makes this 3.5MW

threshold a costly barrier to surpass. Ckt5’s hosting capacity, on the other hand, is completely

defined by over-voltage violations. The barrier present around 1.6 MW is easily increased to 3.5+

MW by altering LTC setpoints. Feeder ML1, in contrast to the other two, is a combination of only

voltage limits and only line thermal limits.

Figure 17. Feeder signatures for a) Ckt5 and b) Ckt7.

Pass Screen,

interconnect

Impact Study -

Mitigation Strategy

Below Hosting Capacity/No Violations

No Violations

Only Voltage Violations

Only Thermal Violations

Voltage and Thermal Violations

AB

C E

D

C

A

B

D

EC

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29

Figure 18. Feeder signatures for a) J1 and b) ML1.

The simulation results presented show how a PV hosting capacity analysis can be used to obtain a

feeder impact signature. This feeder signature separates a feeder into different impact regions that

present varying amounts of PV interconnection risk. The regions relate to specific zones of the

feeder where PV: is easily interconnected, possibly requires some impact mitigation strategies, or

definitely presents risks that may be cost-prohibitive. This analysis is expanded to a larger set of

feeder topologies and PV interconnection types in later sections.

3.3. Feeder PV Impact Zones

As seen in the previous section, there is significant advantage to including interconnection

locational information into the analysis. For example, the hosting capacity of Ckt5 is 1.6 MW, but

the locational hosting capacity of specific points on the feeder is much higher. In Figure 19, the

feeder interconnection zone map for a 6 MW interconnection on Ckt5 shows that there are 25% of

the buses that are capable of handling such a system. The feeder zone maps also improve

interconnection screening through showing the risk associated with the interconnection. At 6 MW,

half the buses with interconnection issues are only caused by voltage violations that may be easily

fixed by changing voltage regulation equipment settings or adjusting the power factor on the PV

inverter.

A

B C

EA

B

CD

E

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30

Figure 19. Feeder interconnection zone map of 3-phase line sections for a 6 MW PV plant on Ckt5.

Region B: No Violations

Region C: Only Voltage Violations

Region D: Only Thermal Violations

Region E: Thermal and Voltage Violations

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31

4. CHARACTERISTICS OF 50 DISTRIBUTION FEEDERS

The PV hosting capacity work presented in the previous sections was developed to analyze the

risk associated with different feeder topologies and characteristics. The analysis is performed for

a large range of different distribution systems from various utilities throughout the United States

[9, 52-56]. In total, 50 different feeders are simulated so that the risks associated with

interconnecting PV on different feeder topologies can be determined. This novel and very detailed

analysis has never been performed on so many feeders before. Previous work includes hosting

capacity analysis of 18 feeders [17], and 28 feeders [57]. The 50 feeders analyzed will provide

new insight into the feeder characteristics and locational information that correlates with high

penetrations of distributed PV being able to be installed.

Each of the 50 feeders is an actual distribution systems located around the United States. For

proprietary information reasons, the locations of each feeder cannot be disclosed, and all names

have been removed. The models were provided by approximately 10 different utilities,

encompassing everything from the west coast to the east coast. For all except 3 feeders, the utility

also provided at least a year of substation SCADA measurements for the feeder. When load data

existed, the minimum and maximum peak load that occurred on each feeder during high daytime

PV output (10am to 2pm) [36] is used for the analysis. For the two feeders where the load data is

unknown (K1 and M1), the average daytime min and max ratio from the other feeders was applied.

There is a wide range of feeder types, including industrial, urban, commercial, rural, and

agricultural. Each model includes the full details about substation impedance, voltage regulator

settings, and capacitor switching controls. The load allocation method used for each feeder varies

depending on the data provided, such as billing kWh data, metered peak demand, etc. In each

case, the feeder peak load measurement was used as the load allocation time. Each feeder also

includes an approximate model of the secondary system, often using standard transformer

impedances by kVA size and 100 feet of 1/0 triplex cable between the transformer and the

customer. Due to the number of feeders, some infrequent features are captured, such as 3-wire

feeders without neutral wires and feeders with multiple voltage levels due to step-down

transformers.

The voltage classes of the feeders range from 4 kV to 34.5 kV. Figure 20 shows the number of

feeders at each voltage class. As expected, approximately two-thirds of the feeders are at the

12/12.47 kV voltage class. There is also a range in the incoming transmission system voltage at

the substation for each feeder. The high-voltage transmission side ranges from 46 kV to 230 kV.

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32

Figure 20. Pie chart of the voltage class of the 50 feeders.

The majority of the feeders (41 of 50) have no voltage regulators on the feeder itself, but as seen

in Figure 21, there can be up to 6 regulators on a feeder. In total, there are 25 voltage regulators

in the database of 50 feeders. There are several different types of voltage regulators, including

wye-connected phase regulators, gang-operated delta-connected regulators, and open-delta

regulators. Two of the feeders also include boosters that increase the downstream voltage using a

fixed tap.

Figure 21. Histogram of the number of voltage regulators on each of the 50 feeders.

Both the fixed and switching capacitors are modeled for each feeder. As seen in Figure 22, the

feeders have between 0 to 7 capacitors per feeder. The feeder with 7 capacitors has a total of 9.9

MVAR of capacitance on the feeder. Most of the switching capacitors are voltage-controlled, but

there are also time-controlled, temperature-controlled, kVAR-controlled, time-biased voltage-

controlled, and seasonally-controlled capacitors.

4kV, 2

12kV, 16

12.47kV, 15

13.2kV, 1

16kV, 1

19.8kV, 11

20.78kV, 233kV, 1

34.5kV, 1

Number of Feeders by Voltage Class

0 1 2 3 4 5 60

10

20

30

40

Number of Regulators

Nu

mb

er

of

Fe

ed

ers

Page 33: Novel Methods to Determine Feeder Locational PV Hosting ...hosting capacity for PV [11, 16, 17]. Work has also been done to show how hosting capacity is a factor of the distribution

33

Figure 22. Histogram of the number of capacitors on each of the 50 feeders.

Figure 23 shows the range in the peak load for each of the feeders. The lowest feeder only has a

peak of 0.6 MW, and the highest is 28.5 MW. Of course the feeder peak load is highly correlated

with the voltage class of the feeder. For the hosting capacity analysis, the minimum and maximum

load measured during the period of 10am to 2pm for the year is used. As a percentage of the peak

load, the minimum daytime load ranges from 12% to 75% of peak load. The maximum daytime

load ranges from 71% to 100% of peak load depending on the feeder.

Figure 23. Histogram of the peak load (MW) for each of the 50 feeders.

The 50 feeders range in length from 1.8 km to 29.4 km. Figure 24 shows the total length of 3-

phase and 1&2-phase medium-voltage (MV) conductor vs. the farthest 3-phase bus for each feeder.

There is a significant spread in the length and amount of conductor for each feeder. The ratio of

3-phase conductor to non-3-phase conductor also varies significantly between feeders.

0 2 4 60

5

10

15

Number of Capacitors

Nu

mb

er

of

Fe

ed

ers

0 5 10 15 200

2

4

6

8

10

Feeder Peak Load (MW)

Nu

mb

er

of

Fe

ed

ers

Page 34: Novel Methods to Determine Feeder Locational PV Hosting ...hosting capacity for PV [11, 16, 17]. Work has also been done to show how hosting capacity is a factor of the distribution

34

Figure 24. Total 3-phase and 1&2-phase medium-voltage (MV) conductor vs. the farthest 3-phase

bus for each feeder.

Similar to the length of feeder, the number of buses in each feeder model varies significantly from

125 to 6001 buses per feeder. Many of the key characteristics are shown for each of the 50 feeders

in Table 1 and Table 2. For the hosting capacity analysis, only 3-phase buses that are at least 20

meters away from the substation and at the voltage class of the feeder are tested. The number of

PV test buses for each feeder is shown ranging from 69 to 1275 buses. The ampacity ratings of

the 3-phase medium-voltage (MV) conductors is shown for each feeder in the tables. The feeder

backbone is defined as the 3-phase MV line with the highest ampacity rating that has at least 500

meters of conductor in the feeder.

0

50

100

150

200

250

0 5 10 15 20 25 30

Tota

l MV

Co

nd

uct

or

Len

gth

(km

)

Farthest 3-phase Bus (km)

3-Phase

1&2 Phase

Page 35: Novel Methods to Determine Feeder Locational PV Hosting ...hosting capacity for PV [11, 16, 17]. Work has also been done to show how hosting capacity is a factor of the distribution

35

Vo

lta

ge

(kV

)

Feed

er

Pea

k

(MW

)

Da

yti

me

Pea

k (

MW

)

Da

yti

me

Min

(MW

)

Fa

rth

est

3-p

ha

se

Bu

s

To

tal

MV

3p

ha

se

To

tal

MV

1&

2

Ph

ase

Ba

ck

-

bo

ne

Lo

west

VR

EG

sB

oo

sters

To

tal

Ca

p

kV

Ar

Fix

ed

Ca

ps

Sw

itch

Ca

ps

To

tal

Bu

ses

PV

Test

Bu

ses

Ck

t512.4

77.3

56.7

4 (

91%

)1.7

4 (

23%

)5

11.2

36.4

619

163

00

1950

04

2998

201

Ck

t712.4

75.6

75.4

8 (

96%

)2.2

7 (

39%

)4.1

9.1

3.8

637

160

00

2400

02

1246

199

Ck

t24

34.5

28.4

528.4

5 (

100%

)6.0

6 (

21%

)6.9

20.9

96.2

650

195

00

3300

30

6001

351

ML

119.8

6.9

36.9

3 (

100%

)2.5

2 (

36%

)5.4

28.5

3.9

635

190

00

3300

12

1266

727

J1

12.4

76.3

45.7

3 (

90%

)1.0

4 (

16%

)12.9

25.3

69.4

732

142

30

3900

23

3433

346

K1

13.2

4.8

64.6

3 (

95%

)1.3

8 (

28%

)5.5

13.5

31.1

900

155

00

300

10

1282

203

M1

12.4

75.8

25.5

3 (

95%

)1.6

5 (

28%

)2.9

7.8

16.9

400

400

00

3600

03

2596

260

QB

14

2.2

11.8

8 (

85%

)0.6

3 (

28%

)2.8

6.6

2.1

582

110

00

00

01489

121

QL

120.7

818.6

316.9

1 (

91%

)4.9

6 (

27%

)12.6

30

37.3

745

100

00

9900

16

5259

547

QL

212

5.1

65.0

7 (

98%

)1.3

7 (

26%

)2.6

10.2

4.6

338

105

00

2400

11

2319

224

QM

112

6.1

5.8

7 (

96%

)1.9

2 (

29%

)23.3

81

110.7

745

100

41

3900

15

5189

767

QN

120.7

816.7

116.0

8 (

96%

)6.2

3 (

37%

)10.3

33.5

41.3

838

110

00

9600

06

4646

583

QS

112

9.2

38.9

0 (

97%

)1.9

5 (

19%

)11.9

58.1

7.5

515

100

20

6000

06

2170

473

QW

112

8.4

48.2

9 (

98%

)1.1

3 (

13%

)27.6

150.1

11.4

745

100

41

3900

24

2438

861

UQ

11

12.4

73.3

63.1

3 (

93%

)0.9

5 (

28%

)4.9

8.6

13.5

574

100

00

600

10

732

122

UQ

12

12.4

76.0

65.3

1 (

87%

)1.6

3 (

27%

)5.7

15.4

37.1

574

100

00

1800

40

1538

164

UD

11

12.4

71.6

41.5

7 (

96%

)0.6

6 (

40%

)5.7

13.1

14.5

340

100

00

600

20

766

148

UD

12

12.4

70.5

90.5

4 (

92%

)0.2

3 (

34%

)15.4

45.9

76.4

340

100

00

900

20

2394

425

UD

13

12.4

71.1

21.1

0 (

98%

)0.4

5 (

39%

)20.3

43.5

27.3

540

100

20

300

01

784

152

UD

14

12.4

70.8

60.8

5 (

100%

)0.2

5 (

27%

)10.7

23.4

11.8

340

100

00

300

10

675

157

UT

11

12.4

76.8

95.9

5 (

86%

)2.4

2 (

34%

)12.6

39.9

18.5

574

100

00

1200

30

581

248

UT

13

12.4

75.0

44.3

5 (

86%

)1.7

7 (

34%

)6.7

15.4

0.8

540

100

00

600

10

416

180

UT

16

12.4

73.9

3.4

9 (

89%

)1.4

4 (

36%

)4.7

9.5

1.1

574

100

00

00

0215

91

UT

18

12.4

74.0

43.6

2 (

89%

)1.5

1 (

36%

)5.4

10.9

0.2

574

100

00

600

20

343

138

UT

19

12.4

72.6

32.6

3 (

100%

)0.8

0 (

30%

)3.4

9.1

0.5

574

100

00

00

0168

69

Na

me

Lo

ad

Bu

ses

Ca

pa

cit

ors

Co

nd

ucto

r L

en

gth

(k

m)

Reg

ula

tio

n3

-Ph

ase

MV

Tab

le 1

. C

hara

cte

risti

cs o

f F

eed

ers

1 –

25

.

Page 36: Novel Methods to Determine Feeder Locational PV Hosting ...hosting capacity for PV [11, 16, 17]. Work has also been done to show how hosting capacity is a factor of the distribution

36

Vo

lta

ge

(kV

)

Feed

er

Pea

k

(MW

)

Da

yti

me

Pea

k (

MW

)

Da

yti

me

Min

(MW

)

Fa

rth

est

3-p

ha

se

Bu

s

To

tal

MV

3p

ha

se

To

tal

MV

1&

2

Ph

ase

Ba

ck

-

bo

ne

Lo

west

VR

EG

sB

oo

sters

To

tal

Ca

p

kV

Ar

Fix

ed

Ca

ps

Sw

itch

Ca

ps

To

tal

Bu

ses

PV

Test

Bu

ses

DA

112

4.4

34.3

7 (

99%

)0.7

2 (

16%

)4.2

10.3

24.5

770

108

00

2400

02

2376

165

DA

212

10.3

58.9

3 (

87%

)1.6

4 (

16%

)18.1

95

82.6

770

108

60

3600

21

5839

1275

DC

112

8.0

86.1

4 (

76%

)3.7

0 (

46%

)6.6

19.5

20.1

1060

108

00

2400

20

5056

446

DC

212

3.6

2.5

5 (

71%

)0.6

2 (

17%

)17.9

40.5

75.1

770

108

10

1200

01

3411

548

DE

112

7.8

57.8

5 (

100%

)1.7

4 (

22%

)3

6.9

0.2

770

130

00

1200

10

560

336

DK

112

3.5

93.5

9 (

100%

)0.7

4 (

20%

)1.8

7.7

0.2

580

115

00

00

0873

500

DS

112

10.2

8.1

3 (

80%

)1.4

9 (

15%

)13.8

33.9

38

770

130

20

1200

01

5504

822

DV

112

3.4

23.3

9 (

99%

)0.4

2 (

12%

)11.7

31.3

20.2

770

50

00

1200

01

1505

424

GL

119.8

3.2

73.1

9 (

97%

)2.0

5 (

61%

)3.7

5.7

0380

150

00

00

0206

133

GL

219.8

2.2

32.2

1 (

99%

)1.2

8 (

56%

)4.2

4.8

0380

150

00

00

0186

119

GL

319.8

2.6

12.3

9 (

91%

)1.0

8 (

40%

)3.6

3.6

0380

230

00

00

0125

73

GL

419.8

2.5

12.3

8 (

95%

)1.6

2 (

63%

)2.6

4.3

0380

175

00

00

0152

92

GL

519.8

3.9

73.8

6 (

97%

)1.9

1 (

47%

)3.7

4.6

0475

115

00

00

0193

119

GL

619.8

4.7

54.6

7 (

98%

)1.3

5 (

28%

)4.1

5.1

0380

175

00

00

0208

122

GN

119.8

2.8

62.8

5 (

100%

)2.1

6 (

75%

)3

10.1

0380

230

00

00

0131

84

GN

319.8

5.5

55.5

3 (

100%

)4.2

3 (

75%

)3.7

11.5

0380

230

00

00

0156

101

GN

519.8

5.0

65.0

5 (

100%

)3.6

1 (

70%

)3.3

14.7

0380

175

00

00

0197

135

GN

719.8

7.4

7.2

1 (

97%

)1.0

3 (

14%

)3.1

6.8

0545

230

00

00

0129

82

CD

14

1.8

41.6

2 (

88%

)0.3

3 (

18%

)3.3

4.7

3.5

559

128

00

600

02

533

69

CG

112

6.3

56.2

9 (

99%

)0.8

5 (

13%

)15.5

60.8

2.1

605

112

00

4800

06

1366

496

CH

133

16.4

815.8

4 (

96%

)5.1

1 (

31%

)29.4

42.7

0920

160

00

00

0142

134

CL

116

5.8

75.2

1 (

89%

)1.9

7 (

33%

)4.2

13

1.9

605

112

00

3000

03

1096

319

CO

112

6.4

15.8

0 (

91%

)1.5

2 (

24%

)21.4

35.9

30.4

920

112

10

2700

14

2970

501

CS

112

54.9

2 (

98%

)1.9

5 (

39%

)4.7

12.2

7.4

559

112

00

1200

01

1226

273

CV

112

4.2

94.0

0 (

93%

)1.1

3 (

26%

)6.6

10.3

4.1

605

112

00

1500

11

484

153

Na

me

Lo

ad

Bu

ses

Ca

pa

cit

ors

Co

nd

ucto

r L

en

gth

(k

m)

Reg

ula

tio

n3

-Ph

ase

MV

Tab

le 2

. C

hara

cte

risti

cs o

f F

eed

ers

26

– 5

0.

Page 37: Novel Methods to Determine Feeder Locational PV Hosting ...hosting capacity for PV [11, 16, 17]. Work has also been done to show how hosting capacity is a factor of the distribution

37

5. RESULTS

5.1. Discussion of the Results for Each Feeder

The impact of PV on distribution system operations is highly dependent on the voltage level of the

feeder. At higher voltage levels, the same size PV system will inject less current at the feeder

voltage. For this reason, the hosting capacity analysis has been split into four different voltage

categories. The first category is 4 kV feeders that are only analyzed up a maximum size of 5 MW

of PV. The second category of 12-14 kV feeders are analyzed up to 10 MW. The third category

of 16-21 kV feeders are analyzed up to 15 MW. The fourth category of 33-35 kV feeders are

analyzed up to 20 MW.

The detailed results for each feeder are included in Section 5.3. As an example, each figure from

feeder QS1 on page 56 is shown here and described in more detail.

First, the circuit diagram topology is shown in Figure 25 with the key components marked. The

capacitor marker shows if the capacitor is fixed or switching, and the arrow text gives the size of

each capacitor. For QS1, the capacitors are seasonally switching, so for the analysis they are fixed

into the correct state depending on the time of year. For QS1, the peak load is 9.25 MW, and the

maximum and minimum daytime load (10am to 2pm) is 8.92 MW and 1.96 MW respectively.

Figure 25. Feeder QS1 circuit diagram.

Figure 26 shows the voltage profile for feeder QS1 without PV at the maximum and minimum

daytime load period. In Figure 26, all voltage regulation equipment, including capacitors, have

Substation

LTC/VREG

Fixed Capacitor

End of Feeder (3-phase)

1200 kVAr

11.93 km

900 kVAr

1200 kVAr

900 kVAr

900 kVAr 900 kVAr

Page 38: Novel Methods to Determine Feeder Locational PV Hosting ...hosting capacity for PV [11, 16, 17]. Work has also been done to show how hosting capacity is a factor of the distribution

38

been forced to the top of their band. To conserve space, the bottom of band simulations are always

part of the analysis, but the figures are not shown. For QS1, the bottom of band simulation results

in similar voltage profiles as those shown in Figure 26, except they are 1.69 V lower on average.

Figure 26. Feeder QS1 voltage profile for the basecase without PV.

The feeder PV impact signature for QS1 is shown in Figure 27 and Figure 28. These types of

figures were described in more detail in Section 3. Figure 27 shows the number of scenarios (PV

interconnection locations) at each size that create each type of violation. For example, on QS1,

25% of 4 MW PV interconnection locations would cause a transformer to be overloaded, 65% of

4 MW PV interconnections would cause an over-voltage, 73% would cause a line to be overloaded,

and 90% of any 4 MW PV interconnections would cause some issue on the feeder. Figure 28

demonstrates the same sort of analysis using regions with over and under-voltage grouped into the

yellow region of only voltage issues that could be mitigated easily. The orange region includes

overloaded line or transformers that would be much more costly to mitigate.

0 2 4 6 8 10 12

118

120

122

124

126

128

Distance from Substation (km)

Vo

lta

ge

(1

20

V B

as

e) Max Daytime Load - Top Of Band

AB (L-L) BC (L-L) CA (L-L) Service Range

0 2 4 6 8 10 12

118

120

122

124

126

128

Distance from Substation (km)

Vo

lta

ge

(1

20

V B

as

e) Min Daytime Load - Top Of Band

AB (L-L) BC (L-L) CA (L-L) Service Range

Page 39: Novel Methods to Determine Feeder Locational PV Hosting ...hosting capacity for PV [11, 16, 17]. Work has also been done to show how hosting capacity is a factor of the distribution

39

Figure 27. Feeder QS1 PV impact signature for each violation.

Figure 28. Feeder QS1 PV impact signature with regions.

Figure 29 shows the locational hosting capacities of QS1 marked by the type of violation that is

limiting the locational hosting capacity at that bus. For example, the upward-pointing triangles

marking over-voltages are generally at the end of the feeder. The color of each marker is the

maximum amount of PV that can be interconnected at that location without causing any issues.

0 2 4 6 8 100

10

20

30

40

50

60

70

80

90

100

PV Size (MW)

Sc

en

ari

os

at

Ea

ch

PV

Siz

e W

ith

Vio

lati

on

s (

%)

Any Violations

Over Voltage

Under Voltage

Line Loading

Xfmr Loading

0 2 4 6 8 100

10

20

30

40

50

60

70

80

90

100

Scen

ari

os a

t E

ach

PV

Siz

e W

ith

Vio

lati

on

s (

%)

PV Size (MW)

Hosting Capacity

No Violations

Only Voltage

Only Thermal

Multiple

Page 40: Novel Methods to Determine Feeder Locational PV Hosting ...hosting capacity for PV [11, 16, 17]. Work has also been done to show how hosting capacity is a factor of the distribution

40

Figure 29. Feeder QS1 locational hosting capacity.

The locational hosting capacities shown in Figure 29 can be analyzed and grouped into what

caused the violation. Figure 30 shows a histogram of the violation type determining the locational

hosting capacities for QS1. This is essentially a chart of the percentage of markers in Figure 29

that are each shape. The diagonal strips also show if locational hosting capacity at that bus was

limited during the minimum or maximum peak load time. For example, any bus where the

locational hosting capacity is limited by line overloads almost always occurs during the minimum

daytime load period because the reverse current due to the PV injection is higher when the feeder

load is lower.

Figure 30. QS1 histogram of violation type determining the locational hosting capacity at each

bus.

Figure 31 presents a histogram of the size of the locational hosting capacities in QS1. This is

essentially the percentage of markers in Figure 29 that are each color. The histogram in Figure 31

is also colored to show which violation caused the locational hosting capacity to be that size. For

Page 41: Novel Methods to Determine Feeder Locational PV Hosting ...hosting capacity for PV [11, 16, 17]. Work has also been done to show how hosting capacity is a factor of the distribution

41

example, all buses with the small locational hosting capacities around 1 MW were caused by over-

voltage violations.

Figure 31. QS1 histogram of the size of the locational hosting capacity throughout the feeder.

These figures are shown in Section 5.3 for each of the 50 feeders.

5.2. Overview of Feeder Results

The locational hosting capacity results are summarized in Figure 32 through Figure 35. Note that

each figure is grouped by voltage class and that the maximum PV size varies. The color contour

shows the percent of PV scenarios at each PV size that cause any violations on the feeder,

corresponding to the black line in Figure 27.

1 2 3 4 5 6 7 8 9 10+0

20

40

60

Locational Hosting Capacity (MW)

Perc

en

t o

f L

ocati

on

s (

%) Histogram of Locational Hosting Capacity by Violation Type

Over-Voltage

Under-Voltage

Line Loading

Xfmr Loading

Multiple Violations

Page 42: Novel Methods to Determine Feeder Locational PV Hosting ...hosting capacity for PV [11, 16, 17]. Work has also been done to show how hosting capacity is a factor of the distribution

42

Figure 32. Percent of PV scenarios with violations for the 12-14 kV feeders.

PV Size (MW)

12-14kV Class Feeders

2 4 6 8 10

DA1

DA2

DC1

Ckt5

Ckt7

DC2

UD11

UD12

UD13

UD14

DE1

CG1

J1

K1

DK1

QL2

M1

QM1

CO1

DS1

CS1

QS1

UT11

UT13

UT16

UT18

UT19

UQ11

UQ12

DV1

CV1

QW1

Pe

rce

nt

of

PV

Sc

en

ari

os

wit

h V

iola

tio

ns

(%

)

0

10

20

30

40

50

60

70

80

90

100

Page 43: Novel Methods to Determine Feeder Locational PV Hosting ...hosting capacity for PV [11, 16, 17]. Work has also been done to show how hosting capacity is a factor of the distribution

43

Figure 33. Percent of PV scenarios with violations for the 4 kV feeders.

Figure 34. Percent of PV scenarios with violations for the 16-21 kV feeders.

Figure 35. Percent of PV scenarios with violations for the 33-35 kV feeders.

5.3. Results For Each Feeder

PV Size (MW)

4kV Class Feeders

1 2 3 4 5

QB1

CD10

50

100

PV Size (MW)

16-21kV Class Feeders

3 6 9 12 15

GL1

GL2

GL3

GL4

GL5

GL6

GN1

GN3

GN5

GN7

QL1

CL1

ML1

QN1 Pe

rce

nt

of

PV

Sc

en

ari

os

wit

h V

iola

tio

ns

(%

)

0

20

40

60

80

100

PV Size (MW)

33-35kV Class Feeders

4 8 12 16 20

Ckt24

CH10

50

100

Page 44: Novel Methods to Determine Feeder Locational PV Hosting ...hosting capacity for PV [11, 16, 17]. Work has also been done to show how hosting capacity is a factor of the distribution

44

QB1

4.0 kV, 2.21 MW peak load Max daytime load = 1.88 MW (85%) Min daytime load = 0.63 MW (28%)

Voltage Profile: Basecase without PV

Bottom of Band bus voltages average 1.92V lower

PV Impact Signature

Locational Hosting Capacity

Substation

End of Feeder (3-phase)

2.84 km

0 0.5 1 1.5 2 2.5 3

118

120

122

124

126

128

Distance from Substation (km)

Vo

lta

ge

(1

20

V B

as

e) Max Daytime Load - Top Of Band

PhaseA PhaseB PhaseC Service Range

0 0.5 1 1.5 2 2.5 3

118

120

122

124

126

128

Distance from Substation (km)

Vo

lta

ge

(1

20

V B

as

e) Min Daytime Load - Top Of Band

PhaseA PhaseB PhaseC Service Range

0 1 2 3 4 50

10

20

30

40

50

60

70

80

90

100

PV Size (MW)

Sc

en

ari

os

at

Ea

ch

PV

Siz

e W

ith

Vio

lati

on

s (

%)

Any Violations

Over Voltage

Under Voltage

Line Loading

Xfmr Loading

0 1 2 3 4 50

10

20

30

40

50

60

70

80

90

100

Scen

ari

os a

t E

ach

PV

Siz

e W

ith

Vio

lati

on

s (

%)

PV Size (MW)

Hosting Capacity

No Violations

Only Voltage

Only Thermal

Multiple

0.5 1 1.5 2 2.5 3 3.5 4 4.5 5+0

20

40

60

Locational Hosting Capacity (MW)

Perc

en

t o

f L

ocati

on

s (

%) Histogram of Locational Hosting Capacity by Violation Type

Over-Voltage

Under-Voltage

Line Loading

Xfmr Loading

Multiple Violations

Page 45: Novel Methods to Determine Feeder Locational PV Hosting ...hosting capacity for PV [11, 16, 17]. Work has also been done to show how hosting capacity is a factor of the distribution

45

CD1

4.0 kV, 1.84 MW peak load Max daytime load = 1.62 MW (88%) Min daytime load = 0.33 MW (18%)

Voltage Profile: Basecase without PV

Bottom of Band bus voltages average 1.89 V lower

PV Impact Signature

Locational Hosting Capacity

Substation

Switching Capacitor

End of Feeder (3-phase)

3.32 km

300 kVAr

300 kVAr

0 0.5 1 1.5 2 2.5 3 3.5 4118

120

122

124

126

Distance from Substation (km)

Vo

lta

ge

(1

20

V B

as

e) Max Daytime Load - Top Of Band

PhaseA PhaseB PhaseC Service Range

0 0.5 1 1.5 2 2.5 3 3.5 4118

120

122

124

126

Distance from Substation (km)

Vo

lta

ge

(1

20

V B

as

e) Min Daytime Load - Top Of Band

PhaseA PhaseB PhaseC Service Range

0 1 2 3 4 50

10

20

30

40

50

60

70

80

90

100

PV Size (MW)

Scen

ari

os a

t E

ach

PV

Siz

e W

ith

Vio

lati

on

s (

%)

Any Violations

Over Voltage

Under Voltage

Line Loading

Xfmr Loading

0 1 2 3 4 50

10

20

30

40

50

60

70

80

90

100

Scen

ari

os a

t E

ach

PV

Siz

e W

ith

Vio

lati

on

s (

%)

PV Size (MW)

Hosting Capacity

No Violations

Only Voltage

Only Thermal

Multiple

0.5 1 1.5 2 2.5 3 3.5 4 4.5 5+0

10

20

30

40

Locational Hosting Capacity (MW)

Perc

en

t o

f L

oc

ati

on

s (

%) Histogram of Locational Hosting Capacity by Violation Type

Over-Voltage

Under-Voltage

Line Loading

Xfmr Loading

Multiple Violations

Page 46: Novel Methods to Determine Feeder Locational PV Hosting ...hosting capacity for PV [11, 16, 17]. Work has also been done to show how hosting capacity is a factor of the distribution

46

DA1

12 kV, 4.43 MW peak load Max daytime load = 4.37 MW (99%) Min daytime load = 0.72 MW (16%)

Voltage Profile: Basecase without PV

Bottom of Band bus voltages average 3.99 V lower

PV Impact Signature

Locational Hosting Capacity

Substation

Switching Capacitor

End of Feeder (3-phase)

4.17 km

1200 kVAr

1200 kVAr

0 0.5 1 1.5 2 2.5 3 3.5 4 4.5

118

120

122

124

Distance from Substation (km)

Vo

lta

ge

(1

20

V B

as

e) Max Daytime Load - Top Of Band

PhaseA PhaseB PhaseC Service Range

0 0.5 1 1.5 2 2.5 3 3.5 4 4.5

118

120

122

124

Distance from Substation (km)

Vo

lta

ge

(1

20

V B

as

e) Min Daytime Load - Top Of Band

PhaseA PhaseB PhaseC Service Range

0 2 4 6 8 100

10

20

30

40

50

60

70

80

90

100

PV Size (MW)

Scen

ari

os a

t E

ach

PV

Siz

e W

ith

Vio

lati

on

s (

%)

Any Violations

Over Voltage

Under Voltage

Line Loading

Xfmr Loading

0 2 4 6 8 100

10

20

30

40

50

60

70

80

90

100

Scen

ari

os a

t E

ach

PV

Siz

e W

ith

Vio

lati

on

s (

%)

PV Size (MW)

Hosting Capacity

No Violations

Only Voltage

Only Thermal

Multiple

1 2 3 4 5 6 7 8 9 10+0

10

20

30

Locational Hosting Capacity (MW)

Perc

en

t o

f L

oc

ati

on

s (

%) Histogram of Locational Hosting Capacity by Violation Type

Over-Voltage

Under-Voltage

Line Loading

Xfmr Loading

Multiple Violations

Page 47: Novel Methods to Determine Feeder Locational PV Hosting ...hosting capacity for PV [11, 16, 17]. Work has also been done to show how hosting capacity is a factor of the distribution

47

DA2

12 kV, 10.35 MW peak load Max daytime load = 8.93 MW (87%) Min daytime load = 1.64 MW (16%)

Voltage Profile: Basecase without PV

Bottom of Band bus voltages average 4.08 V lower

PV Impact Signature

Locational Hosting Capacity

Substation

Booster

LTC/VREG

Fixed Capacitor

End of Feeder (3-phase)

1200 kVAr

1200 kVAr

18.13 km

1200 kVAr 0 2 4 6 8 10 12 14 16 18 20116

118

120

122

124

126

128

Distance from Substation (km)

Vo

lta

ge

(1

20

V B

as

e) Max Daytime Load - Top Of Band

PhaseA PhaseB PhaseC Service Range

0 2 4 6 8 10 12 14 16 18 20116

118

120

122

124

126

128

Distance from Substation (km)

Vo

lta

ge

(1

20

V B

as

e) Min Daytime Load - Top Of Band

PhaseA PhaseB PhaseC Service Range

0 2 4 6 8 100

10

20

30

40

50

60

70

80

90

100

PV Size (MW)

Scen

ari

os a

t E

ach

PV

Siz

e W

ith

Vio

lati

on

s (

%)

Any Violations

Over Voltage

Under Voltage

Line Loading

Xfmr Loading

0 2 4 6 8 100

10

20

30

40

50

60

70

80

90

100

Sc

en

ari

os

at

Ea

ch

PV

Siz

e W

ith

Vio

lati

on

s (

%)

PV Size (MW)

Hosting Capacity

No Violations

Only Voltage

Only Thermal

Multiple

1 2 3 4 5 6 7 8 9 10+0

50

100

Locational Hosting Capacity (MW)

Perc

en

t o

f L

oc

ati

on

s (

%) Histogram of Locational Hosting Capacity by Violation Type

Over-Voltage

Under-Voltage

Line Loading

Xfmr Loading

Multiple Violations

Page 48: Novel Methods to Determine Feeder Locational PV Hosting ...hosting capacity for PV [11, 16, 17]. Work has also been done to show how hosting capacity is a factor of the distribution

48

DC1

12 kV, 8.08 MW peak load Max daytime load = 6.14 MW (76%) Min daytime load = 3.70 MW (46%)

Voltage Profile: Basecase without PV

Bottom of Band bus voltages average 3.06 V lower

PV Impact Signature

Locational Hosting Capacity

Substation

Fixed Capacitor

End of Feeder (3-phase)

1200 kVAr6.59 km

1200 kVAr

0 1 2 3 4 5 6 7118

119

120

121

122

123

Distance from Substation (km)

Vo

lta

ge

(1

20

V B

as

e) Max Daytime Load - Top Of Band

PhaseA PhaseB PhaseC Service Range

0 1 2 3 4 5 6 7118

119

120

121

122

123

Distance from Substation (km)

Vo

lta

ge

(1

20

V B

as

e) Min Daytime Load - Top Of Band

PhaseA PhaseB PhaseC Service Range

0 2 4 6 8 100

10

20

30

40

50

60

70

80

90

100

PV Size (MW)

Scen

ari

os a

t E

ach

PV

Siz

e W

ith

Vio

lati

on

s (

%)

Any Violations

Over Voltage

Under Voltage

Line Loading

Xfmr Loading

0 2 4 6 8 100

10

20

30

40

50

60

70

80

90

100

Scen

ari

os a

t E

ach

PV

Siz

e W

ith

Vio

lati

on

s (

%)

PV Size (MW)

Hosting Capacity

No Violations

Only Voltage

Only Thermal

Multiple

1 2 3 4 5 6 7 8 9 10+0

10

20

30

40

Locational Hosting Capacity (MW)

Perc

en

t o

f L

oc

ati

on

s (

%) Histogram of Locational Hosting Capacity by Violation Type

Over-Voltage

Under-Voltage

Line Loading

Xfmr Loading

Multiple Violations

Page 49: Novel Methods to Determine Feeder Locational PV Hosting ...hosting capacity for PV [11, 16, 17]. Work has also been done to show how hosting capacity is a factor of the distribution

49

DC2

12 kV, 3.60 MW peak load Max daytime load = 2.55 MW (71%) Min daytime load = 0.62 MW (17%)

Voltage Profile: Basecase without PV

Bottom of Band bus voltages average 2.52 V lower

PV Impact Signature

Locational Hosting Capacity

Substation

Booster

LTC/VREG

Switching Capacitor

End of Feeder (3-phase)

17.94 km

1200 kVAr

0 2 4 6 8 10 12 14 16 18

120

122

124

Distance from Substation (km)

Vo

lta

ge

(1

20

V B

as

e) Max Daytime Load - Top Of Band

PhaseA PhaseB PhaseC Service Range

0 2 4 6 8 10 12 14 16 18

120

122

124

Distance from Substation (km)

Vo

lta

ge

(1

20

V B

as

e) Min Daytime Load - Top Of Band

PhaseA PhaseB PhaseC Service Range

0 2 4 6 8 100

10

20

30

40

50

60

70

80

90

100

PV Size (MW)

Scen

ari

os a

t E

ach

PV

Siz

e W

ith

Vio

lati

on

s (

%)

Any Violations

Over Voltage

Under Voltage

Line Loading

Xfmr Loading

0 2 4 6 8 100

10

20

30

40

50

60

70

80

90

100

Scen

ari

os a

t E

ach

PV

Siz

e W

ith

Vio

lati

on

s (

%)

PV Size (MW)

Hosting Capacity

No Violations

Only Voltage

Only Thermal

Multiple

1 2 3 4 5 6 7 8 9 10+0

10

20

30

Locational Hosting Capacity (MW)

Perc

en

t o

f L

oc

ati

on

s (

%) Histogram of Locational Hosting Capacity by Violation Type

Over-Voltage

Under-Voltage

Line Loading

Xfmr Loading

Multiple Violations

Page 50: Novel Methods to Determine Feeder Locational PV Hosting ...hosting capacity for PV [11, 16, 17]. Work has also been done to show how hosting capacity is a factor of the distribution

50

DE1

12 kV, 7.85 MW peak load Max daytime load = 7.85 MW (100%) Min daytime load = 1.74 MW (22%)

Voltage Profile: Basecase without PV

Bottom of Band bus voltages average 3.01 V lower

PV Impact Signature

Locational Hosting Capacity

Substation

Fixed Capacitor

End of Feeder (3-phase)

3.04 km

1200 kVAr

0 0.5 1 1.5 2 2.5 3 3.5

120

122

124

126

Distance from Substation (km)

Vo

lta

ge

(1

20

V B

as

e) Max Daytime Load - Top Of Band

PhaseA PhaseB PhaseC Service Range

0 0.5 1 1.5 2 2.5 3 3.5

120

122

124

126

Distance from Substation (km)

Vo

lta

ge

(1

20

V B

as

e) Min Daytime Load - Top Of Band

PhaseA PhaseB PhaseC Service Range

0 2 4 6 8 100

10

20

30

40

50

60

70

80

90

100

PV Size (MW)

Scen

ari

os a

t E

ach

PV

Siz

e W

ith

Vio

lati

on

s (

%)

Any Violations

Over Voltage

Under Voltage

Line Loading

Xfmr Loading

0 2 4 6 8 100

10

20

30

40

50

60

70

80

90

100

Sc

en

ari

os

at

Ea

ch

PV

Siz

e W

ith

Vio

lati

on

s (

%)

PV Size (MW)

Hosting Capacity

No Violations

Only Voltage

Only Thermal

Multiple

1 2 3 4 5 6 7 8 9 10+0

10

20

30

Locational Hosting Capacity (MW)

Perc

en

t o

f L

oc

ati

on

s (

%) Histogram of Locational Hosting Capacity by Violation Type

Over-Voltage

Under-Voltage

Line Loading

Xfmr Loading

Multiple Violations

Page 51: Novel Methods to Determine Feeder Locational PV Hosting ...hosting capacity for PV [11, 16, 17]. Work has also been done to show how hosting capacity is a factor of the distribution

51

DK1

12 kV, 3.59 MW peak load Max daytime load = 3.59 MW (100%) Min daytime load = 0.74 MW (20%)

Voltage Profile: Basecase without PV

Bottom of Band bus voltages average 3.97 V lower

PV Impact Signature

Locational Hosting Capacity

Substation

End of Feeder (3-phase)

1.77 km

0 0.2 0.4 0.6 0.8 1 1.2 1.4 1.6 1.8122

123

124

125

Distance from Substation (km)

Vo

lta

ge

(1

20

V B

as

e) Max Daytime Load - Top Of Band

PhaseA PhaseB PhaseC Service Range

0 0.2 0.4 0.6 0.8 1 1.2 1.4 1.6 1.8122

123

124

125

Distance from Substation (km)

Vo

lta

ge

(1

20

V B

as

e) Min Daytime Load - Top Of Band

PhaseA PhaseB PhaseC Service Range

0 2 4 6 8 100

10

20

30

40

50

60

70

80

90

100

PV Size (MW)

Sc

en

ari

os

at

Ea

ch

PV

Siz

e W

ith

Vio

lati

on

s (

%)

Any Violations

Over Voltage

Under Voltage

Line Loading

Xfmr Loading

0 2 4 6 8 100

10

20

30

40

50

60

70

80

90

100

Sc

en

ari

os

at

Ea

ch

PV

Siz

e W

ith

Vio

lati

on

s (

%)

PV Size (MW)

Hosting Capacity

No Violations

Only Voltage

Only Thermal

Multiple

1 2 3 4 5 6 7 8 9 10+0

20

40

60

Locational Hosting Capacity (MW)

Perc

en

t o

f L

ocati

on

s (

%) Histogram of Locational Hosting Capacity by Violation Type

Over-Voltage

Under-Voltage

Line Loading

Xfmr Loading

Multiple Violations

Page 52: Novel Methods to Determine Feeder Locational PV Hosting ...hosting capacity for PV [11, 16, 17]. Work has also been done to show how hosting capacity is a factor of the distribution

52

DS1

12 kV, 10.20 MW peak load Max daytime load = 8.13 MW (80%) Min daytime load = 1.49 MW (15%)

Voltage Profile: Basecase without PV

Bottom of Band bus voltages average 2.21 V lower

PV Impact Signature

Locational Hosting Capacity

Substation

Booster

LTC/VREG

Switching Capacitor

End of Feeder (3-phase)

13.79 km

1200 kVAr

0 2 4 6 8 10 12 14 16

118

120

122

124

126

Distance from Substation (km)

Vo

lta

ge

(1

20

V B

as

e) Max Daytime Load - Top Of Band

PhaseA PhaseB PhaseC Service Range

0 2 4 6 8 10 12 14 16

118

120

122

124

126

Distance from Substation (km)

Vo

lta

ge

(1

20

V B

as

e) Min Daytime Load - Top Of Band

PhaseA PhaseB PhaseC Service Range

0 2 4 6 8 100

10

20

30

40

50

60

70

80

90

100

PV Size (MW)

Sc

en

ari

os

at

Ea

ch

PV

Siz

e W

ith

Vio

lati

on

s (

%)

Any Violations

Over Voltage

Under Voltage

Line Loading

Xfmr Loading

0 2 4 6 8 100

10

20

30

40

50

60

70

80

90

100

Scen

ari

os a

t E

ach

PV

Siz

e W

ith

Vio

lati

on

s (

%)

PV Size (MW)

Hosting Capacity

No Violations

Only Voltage

Only Thermal

Multiple

1 2 3 4 5 6 7 8 9 10+0

20

40

60

80

Locational Hosting Capacity (MW)

Perc

en

t o

f L

oc

ati

on

s (

%) Histogram of Locational Hosting Capacity by Violation Type

Over-Voltage

Under-Voltage

Line Loading

Xfmr Loading

Multiple Violations

Page 53: Novel Methods to Determine Feeder Locational PV Hosting ...hosting capacity for PV [11, 16, 17]. Work has also been done to show how hosting capacity is a factor of the distribution

53

DV1

12 kV, 3.42 MW peak load Max daytime load = 3.39 MW (99%) Min daytime load = 0.42 MW (12%)

Voltage Profile: Basecase without PV

Bottom of Band bus voltages average 3.93 V lower

PV Impact Signature

Locational Hosting Capacity

Substation

Switching Capacitor

End of Feeder (3-phase) 1200 kVAr

11.71 km

0 2 4 6 8 10 12

121

122

123

124

125

Distance from Substation (km)

Vo

lta

ge

(1

20

V B

as

e) Max Daytime Load - Top Of Band

PhaseA PhaseB PhaseC Service Range

0 2 4 6 8 10 12

121

122

123

124

125

Distance from Substation (km)

Vo

lta

ge

(1

20

V B

as

e) Min Daytime Load - Top Of Band

PhaseA PhaseB PhaseC Service Range

0 2 4 6 8 100

10

20

30

40

50

60

70

80

90

100

PV Size (MW)

Scen

ari

os a

t E

ach

PV

Siz

e W

ith

Vio

lati

on

s (

%)

Any Violations

Over Voltage

Under Voltage

Line Loading

Xfmr Loading

0 2 4 6 8 100

10

20

30

40

50

60

70

80

90

100

Scen

ari

os a

t E

ach

PV

Siz

e W

ith

Vio

lati

on

s (

%)

PV Size (MW)

Hosting Capacity

No Violations

Only Voltage

Only Thermal

Multiple

1 2 3 4 5 6 7 8 9 10+0

20

40

60

80

Locational Hosting Capacity (MW)

Perc

en

t o

f L

ocati

on

s (

%) Histogram of Locational Hosting Capacity by Violation Type

Over-Voltage

Under-Voltage

Line Loading

Xfmr Loading

Multiple Violations

Page 54: Novel Methods to Determine Feeder Locational PV Hosting ...hosting capacity for PV [11, 16, 17]. Work has also been done to show how hosting capacity is a factor of the distribution

54

QL2

12 kV, 5.16 MW peak load Max daytime load = 5.07 MW (98%) Min daytime load = 1.37 MW (26%)

Voltage Profile: Basecase without PV

Bottom of Band bus voltages average 1.99 V lower

PV Impact Signature

Locational Hosting Capacity

Substation

Switching Capacitor

End of Feeder (3-phase)

1200 kVAr

2.63 km

1200 kVAr

0 0.5 1 1.5 2 2.5 3

118

120

122

124

126

Distance from Substation (km)

Vo

lta

ge

(1

20

V B

as

e) Max Daytime Load - Top Of Band

AB (L-L) BC (L-L) CA (L-L) Service Range

0 0.5 1 1.5 2 2.5 3

118

120

122

124

126

Distance from Substation (km)

Vo

lta

ge

(1

20

V B

as

e) Min Daytime Load - Top Of Band

AB (L-L) BC (L-L) CA (L-L) Service Range

0 2 4 6 8 100

10

20

30

40

50

60

70

80

90

100

PV Size (MW)

Scen

ari

os a

t E

ach

PV

Siz

e W

ith

Vio

lati

on

s (

%)

Any Violations

Over Voltage

Under Voltage

Line Loading

Xfmr Loading

0 2 4 6 8 100

10

20

30

40

50

60

70

80

90

100

Scen

ari

os a

t E

ach

PV

Siz

e W

ith

Vio

lati

on

s (

%)

PV Size (MW)

Hosting Capacity

No Violations

Only Voltage

Only Thermal

Multiple

1 2 3 4 5 6 7 8 9 10+0

20

40

60

Locational Hosting Capacity (MW)

Perc

en

t o

f L

oc

ati

on

s (

%) Histogram of Locational Hosting Capacity by Violation Type

Over-Voltage

Under-Voltage

Line Loading

Xfmr Loading

Multiple Violations

Page 55: Novel Methods to Determine Feeder Locational PV Hosting ...hosting capacity for PV [11, 16, 17]. Work has also been done to show how hosting capacity is a factor of the distribution

55

QM1

12 kV, 6.10 MW peak load Max daytime load = 5.87 MW (96%) Min daytime load = 1.92 MW (29%)

Voltage Profile: Basecase without PV

Bottom of Band bus voltages average 1.81 V lower

PV Impact Signature

Locational Hosting Capacity

Substation

Booster

LTC/VREG

Fixed Capacitor

End of Feeder (3-phase)

600 kVAr

600 kVAr

600 kVAr

600 kVAr

600 kVAr

900 kVAr23.32 km

0 5 10 15 20 25 30

116

118

120

122

124

126

128

Distance from Substation (km)

Vo

lta

ge

(1

20

V B

as

e) Max Daytime Load - Top Of Band

AB (L-L) BC (L-L) CA (L-L) Service Range

0 5 10 15 20 25 30

116

118

120

122

124

126

128

Distance from Substation (km)

Vo

lta

ge

(1

20

V B

as

e) Min Daytime Load - Top Of Band

AB (L-L) BC (L-L) CA (L-L) Service Range

0 2 4 6 8 100

10

20

30

40

50

60

70

80

90

100

PV Size (MW)

Sc

en

ari

os

at

Ea

ch

PV

Siz

e W

ith

Vio

lati

on

s (

%)

Any Violations

Over Voltage

Under Voltage

Line Loading

Xfmr Loading

0 2 4 6 8 100

10

20

30

40

50

60

70

80

90

100

Scen

ari

os a

t E

ach

PV

Siz

e W

ith

Vio

lati

on

s (

%)

PV Size (MW)

Hosting Capacity

No Violations

Only Voltage

Only Thermal

Multiple

1 2 3 4 5 6 7 8 9 10+0

20

40

60

80

Locational Hosting Capacity (MW)

Perc

en

t o

f L

oc

ati

on

s (

%) Histogram of Locational Hosting Capacity by Violation Type

Over-Voltage

Under-Voltage

Line Loading

Xfmr Loading

Multiple Violations

Page 56: Novel Methods to Determine Feeder Locational PV Hosting ...hosting capacity for PV [11, 16, 17]. Work has also been done to show how hosting capacity is a factor of the distribution

56

QS1

12 kV, 9.25 MW peak load Max daytime load = 8.92 MW (97%) Min daytime load = 1.96 MW (19%)

Voltage Profile: Basecase without PV

Bottom of Band bus voltages average 1.69 V lower

PV Impact Signature

Locational Hosting Capacity

Substation

LTC/VREG

Fixed Capacitor

End of Feeder (3-phase)

1200 kVAr

11.93 km

900 kVAr

1200 kVAr

900 kVAr

900 kVAr 900 kVAr

0 2 4 6 8 10 12

118

120

122

124

126

128

Distance from Substation (km)

Vo

lta

ge

(1

20

V B

as

e) Max Daytime Load - Top Of Band

AB (L-L) BC (L-L) CA (L-L) Service Range

0 2 4 6 8 10 12

118

120

122

124

126

128

Distance from Substation (km)

Vo

lta

ge

(1

20

V B

as

e) Min Daytime Load - Top Of Band

AB (L-L) BC (L-L) CA (L-L) Service Range

0 2 4 6 8 100

10

20

30

40

50

60

70

80

90

100

PV Size (MW)

Sc

en

ari

os

at

Ea

ch

PV

Siz

e W

ith

Vio

lati

on

s (

%)

Any Violations

Over Voltage

Under Voltage

Line Loading

Xfmr Loading

0 2 4 6 8 100

10

20

30

40

50

60

70

80

90

100

Scen

ari

os a

t E

ach

PV

Siz

e W

ith

Vio

lati

on

s (

%)

PV Size (MW)

Hosting Capacity

No Violations

Only Voltage

Only Thermal

Multiple

1 2 3 4 5 6 7 8 9 10+0

20

40

60

Locational Hosting Capacity (MW)

Perc

en

t o

f L

oc

ati

on

s (

%) Histogram of Locational Hosting Capacity by Violation Type

Over-Voltage

Under-Voltage

Line Loading

Xfmr Loading

Multiple Violations

Page 57: Novel Methods to Determine Feeder Locational PV Hosting ...hosting capacity for PV [11, 16, 17]. Work has also been done to show how hosting capacity is a factor of the distribution

57

QW1

12 kV, 8.44 MW peak load Max daytime load = 8.29 MW (98%) Min daytime load = 1.13 MW (13%)

Voltage Profile: Basecase without PV

Bottom of Band bus voltages average 1.83 V lower

PV Impact Signature

Locational Hosting Capacity

Substation

Booster

LTC/VREG

Fixed Capacitor

End of Feeder (3-phase)

600 kVAr

600 kVAr

600 kVAr

600 kVAr

600 kVAr

900 kVAr

27.59 km

0 5 10 15 20 25 30

115

120

125

Distance from Substation (km)

Vo

lta

ge

(1

20

V B

as

e) Max Daytime Load - Top Of Band

AB (L-L) BC (L-L) CA (L-L) Service Range

0 5 10 15 20 25 30

115

120

125

Distance from Substation (km)

Vo

lta

ge

(1

20

V B

as

e) Min Daytime Load - Top Of Band

AB (L-L) BC (L-L) CA (L-L) Service Range

0 2 4 6 8 100

10

20

30

40

50

60

70

80

90

100

PV Size (MW)

Scen

ari

os a

t E

ach

PV

Siz

e W

ith

Vio

lati

on

s (

%)

Any Violations

Over Voltage

Under Voltage

Line Loading

Xfmr Loading

0 2 4 6 8 100

10

20

30

40

50

60

70

80

90

100

Sc

en

ari

os

at

Ea

ch

PV

Siz

e W

ith

Vio

lati

on

s (

%)

PV Size (MW)

Hosting Capacity

No Violations

Only Voltage

Only Thermal

Multiple

1 2 3 4 5 6 7 8 9 10+0

50

100

Locational Hosting Capacity (MW)

Perc

en

t o

f L

oc

ati

on

s (

%) Histogram of Locational Hosting Capacity by Violation Type

Over-Voltage

Under-Voltage

Line Loading

Xfmr Loading

Multiple Violations

Page 58: Novel Methods to Determine Feeder Locational PV Hosting ...hosting capacity for PV [11, 16, 17]. Work has also been done to show how hosting capacity is a factor of the distribution

58

CG1

12 kV, 6.35 MW peak load Max daytime load = 6.29 MW (99%) Min daytime load = 0.85 MW (13%)

Voltage Profile: Basecase without PV

Bottom of Band bus voltages average 2.34 V lower

PV Impact Signature

Locational Hosting Capacity

Substation

Fixed Capacitor

Switching Capacitor

End of Feeder (3-phase)

15.52 km600 kVAr

900 kVAr1200 kVAr

300 kVAr

900 kVAr

900 kVAr

0 2 4 6 8 10 12 14 16116

118

120

122

124

Distance from Substation (km)

Vo

lta

ge

(1

20

V B

as

e) Max Daytime Load - Top Of Band

PhaseA PhaseB PhaseC Service Range

0 2 4 6 8 10 12 14 16116

118

120

122

124

Distance from Substation (km)

Vo

lta

ge

(1

20

V B

as

e) Min Daytime Load - Top Of Band

PhaseA PhaseB PhaseC Service Range

0 2 4 6 8 100

10

20

30

40

50

60

70

80

90

100

PV Size (MW)

Sc

en

ari

os

at

Ea

ch

PV

Siz

e W

ith

Vio

lati

on

s (

%)

Any Violations

Over Voltage

Under Voltage

Line Loading

Xfmr Loading

0 2 4 6 8 100

10

20

30

40

50

60

70

80

90

100

Sc

en

ari

os

at

Ea

ch

PV

Siz

e W

ith

Vio

lati

on

s (

%)

PV Size (MW)

Hosting Capacity

No Violations

Only Voltage

Only Thermal

Multiple

1 2 3 4 5 6 7 8 9 10+0

20

40

60

Locational Hosting Capacity (MW)

Perc

en

t o

f L

oc

ati

on

s (

%) Histogram of Locational Hosting Capacity by Violation Type

Over-Voltage

Under-Voltage

Line Loading

Xfmr Loading

Multiple Violations

Page 59: Novel Methods to Determine Feeder Locational PV Hosting ...hosting capacity for PV [11, 16, 17]. Work has also been done to show how hosting capacity is a factor of the distribution

59

CO1

12 kV, 6.39 MW peak load Max daytime load = 5.79 MW (91%) Min daytime load = 1.52 MW (24%)

Voltage Profile: Basecase without PV

Bottom of Band bus voltages average 1.12 V lower

PV Impact Signature

Locational Hosting Capacity

Substation

LTC/VREG

Switching Capacitor

End of Feeder (3-phase)

300 kVAr300 kVAr

600 kVAr

900 kVAr

600 kVAr

21.38 km

0 5 10 15 20 25

110

115

120

125

Distance from Substation (km)

Vo

lta

ge

(1

20

V B

as

e) Max Daytime Load - Top Of Band

PhaseA PhaseB PhaseC Service Range

0 5 10 15 20 25

110

115

120

125

Distance from Substation (km)

Vo

lta

ge

(1

20

V B

as

e) Min Daytime Load - Top Of Band

PhaseA PhaseB PhaseC Service Range

0 2 4 6 8 100

10

20

30

40

50

60

70

80

90

100

PV Size (MW)

Scen

ari

os a

t E

ach

PV

Siz

e W

ith

Vio

lati

on

s (

%)

Any Violations

Over Voltage

Under Voltage

Line Loading

Xfmr Loading

0 2 4 6 8 100

10

20

30

40

50

60

70

80

90

100

Sc

en

ari

os

at

Ea

ch

PV

Siz

e W

ith

Vio

lati

on

s (

%)

PV Size (MW)

Hosting Capacity

No Violations

Only Voltage

Only Thermal

Multiple

1 2 3 4 5 6 7 8 9 10+0

20

40

60

80

Locational Hosting Capacity (MW)

Perc

en

t o

f L

oc

ati

on

s (

%) Histogram of Locational Hosting Capacity by Violation Type

Over-Voltage

Under-Voltage

Line Loading

Xfmr Loading

Multiple Violations

Page 60: Novel Methods to Determine Feeder Locational PV Hosting ...hosting capacity for PV [11, 16, 17]. Work has also been done to show how hosting capacity is a factor of the distribution

60

CS1

12 kV, 5.00 MW peak load Max daytime load = 4.92 MW (98%) Min daytime load = 1.95 MW (39%)

Voltage Profile: Basecase without PV

Bottom of Band bus voltages average 1.17 V lower

PV Impact Signature

Locational Hosting Capacity

Substation

Switching Capacitor

End of Feeder (3-phase)

1200 kVAr

4.69 km

0 0.5 1 1.5 2 2.5 3 3.5 4 4.5 5118

120

122

124

Distance from Substation (km)

Vo

lta

ge

(1

20

V B

as

e) Max Daytime Load - Top Of Band

PhaseA PhaseB PhaseC Service Range

0 0.5 1 1.5 2 2.5 3 3.5 4 4.5 5118

120

122

124

Distance from Substation (km)

Vo

lta

ge

(1

20

V B

as

e) Min Daytime Load - Top Of Band

PhaseA PhaseB PhaseC Service Range

0 2 4 6 8 100

10

20

30

40

50

60

70

80

90

100

PV Size (MW)

Sc

en

ari

os

at

Ea

ch

PV

Siz

e W

ith

Vio

lati

on

s (

%)

Any Violations

Over Voltage

Under Voltage

Line Loading

Xfmr Loading

0 2 4 6 8 100

10

20

30

40

50

60

70

80

90

100

Sc

en

ari

os

at

Ea

ch

PV

Siz

e W

ith

Vio

lati

on

s (

%)

PV Size (MW)

Hosting Capacity

No Violations

Only Voltage

Only Thermal

Multiple

1 2 3 4 5 6 7 8 9 10+0

20

40

60

Locational Hosting Capacity (MW)

Perc

en

t o

f L

oc

ati

on

s (

%) Histogram of Locational Hosting Capacity by Violation Type

Over-Voltage

Under-Voltage

Line Loading

Xfmr Loading

Multiple Violations

Page 61: Novel Methods to Determine Feeder Locational PV Hosting ...hosting capacity for PV [11, 16, 17]. Work has also been done to show how hosting capacity is a factor of the distribution

61

CV1

12 kV, 4.29 MW peak load Max daytime load = 4.00 MW (93%) Min daytime load = 1.13 MW (26%)

Voltage Profile: Basecase without PV

Bottom of Band bus voltages average 1.36 V lower

PV Impact Signature

Locational Hosting Capacity

Substation

Fixed Capacitor

Switching Capacitor

End of Feeder (3-phase)

6.55 km

300 kVAr

1200 kVAr

0 1 2 3 4 5 6 7

120

121

122

123

124

125

Distance from Substation (km)

Vo

lta

ge

(1

20

V B

as

e) Max Daytime Load - Top Of Band

PhaseA PhaseB PhaseC Service Range

0 1 2 3 4 5 6 7

120

121

122

123

124

125

Distance from Substation (km)

Vo

lta

ge

(1

20

V B

as

e) Min Daytime Load - Top Of Band

PhaseA PhaseB PhaseC Service Range

0 2 4 6 8 100

10

20

30

40

50

60

70

80

90

100

PV Size (MW)

Scen

ari

os a

t E

ach

PV

Siz

e W

ith

Vio

lati

on

s (

%)

Any Violations

Over Voltage

Under Voltage

Line Loading

Xfmr Loading

0 2 4 6 8 100

10

20

30

40

50

60

70

80

90

100

Scen

ari

os a

t E

ach

PV

Siz

e W

ith

Vio

lati

on

s (

%)

PV Size (MW)

Hosting Capacity

No Violations

Only Voltage

Only Thermal

Multiple

1 2 3 4 5 6 7 8 9 10+0

20

40

60

Locational Hosting Capacity (MW)

Perc

en

t o

f L

oc

ati

on

s (

%) Histogram of Locational Hosting Capacity by Violation Type

Over-Voltage

Under-Voltage

Line Loading

Xfmr Loading

Multiple Violations

Page 62: Novel Methods to Determine Feeder Locational PV Hosting ...hosting capacity for PV [11, 16, 17]. Work has also been done to show how hosting capacity is a factor of the distribution

62

UQ11

12.47 kV, 3.43 MW peak load Max daytime load = 3.20 MW (93%) Min daytime load = 1.01 MW (28%)

Voltage Profile: Basecase without PV

Bottom of Band bus voltages average 1.90V lower

PV Impact Signature

Locational Hosting Capacity

Substation

Fixed Capacitor

End of Feeder (3-phase)

600 kVAr

4.91 km

0 1 2 3 4 5 6

118

120

122

124

126

Distance from Substation (km)

Vo

lta

ge

(1

20

V B

as

e) Max Daytime Load - Top Of Band

PhaseA PhaseB PhaseC Service Range

0 1 2 3 4 5 6

118

120

122

124

126

Distance from Substation (km)

Vo

lta

ge

(1

20

V B

as

e) Min Daytime Load - Top Of Band

PhaseA PhaseB PhaseC Service Range

0 2 4 6 8 100

10

20

30

40

50

60

70

80

90

100

PV Size (MW)

Sc

en

ari

os

at

Ea

ch

PV

Siz

e W

ith

Vio

lati

on

s (

%)

Any Violations

Over Voltage

Under Voltage

Line Loading

Xfmr Loading

0 2 4 6 8 100

10

20

30

40

50

60

70

80

90

100

Sc

en

ari

os

at

Ea

ch

PV

Siz

e W

ith

Vio

lati

on

s (

%)

PV Size (MW)

Hosting Capacity

No Violations

Only Voltage

Only Thermal

Multiple

1 2 3 4 5 6 7 8 9 10+0

10

20

30

40

Locational Hosting Capacity (MW)

Perc

en

t o

f L

oc

ati

on

s (

%) Histogram of Locational Hosting Capacity by Violation Type

Over-Voltage

Under-Voltage

Line Loading

Xfmr Loading

Multiple Violations

Page 63: Novel Methods to Determine Feeder Locational PV Hosting ...hosting capacity for PV [11, 16, 17]. Work has also been done to show how hosting capacity is a factor of the distribution

63

UQ12

12.47 kV, 6.19 MW peak load Max daytime load = 5.43 MW (87%) Min daytime load = 1.75 MW (27%)

Voltage Profile: Basecase without PV

Bottom of Band bus voltages average 1.92V lower

PV Impact Signature

Locational Hosting Capacity

Substation

Fixed Capacitor

End of Feeder (3-phase)

5.73 km

300 kVAr

600 kVAr

300 kVAr

600 kVAr

0 1 2 3 4 5 6

116

118

120

122

124

126

Distance from Substation (km)

Vo

lta

ge

(1

20

V B

as

e) Max Daytime Load - Top Of Band

PhaseA PhaseB PhaseC Service Range

0 1 2 3 4 5 6

116

118

120

122

124

126

Distance from Substation (km)

Vo

lta

ge

(1

20

V B

as

e) Min Daytime Load - Top Of Band

PhaseA PhaseB PhaseC Service Range

0 2 4 6 8 100

10

20

30

40

50

60

70

80

90

100

PV Size (MW)

Sc

en

ari

os

at

Ea

ch

PV

Siz

e W

ith

Vio

lati

on

s (

%)

Any Violations

Over Voltage

Under Voltage

Line Loading

Xfmr Loading

0 2 4 6 8 100

10

20

30

40

50

60

70

80

90

100

Sc

en

ari

os

at

Ea

ch

PV

Siz

e W

ith

Vio

lati

on

s (

%)

PV Size (MW)

Hosting Capacity

No Violations

Only Voltage

Only Thermal

Multiple

1 2 3 4 5 6 7 8 9 10+0

20

40

60

80

Locational Hosting Capacity (MW)

Perc

en

t o

f L

oc

ati

on

s (

%) Histogram of Locational Hosting Capacity by Violation Type

Over-Voltage

Under-Voltage

Line Loading

Xfmr Loading

Multiple Violations

Page 64: Novel Methods to Determine Feeder Locational PV Hosting ...hosting capacity for PV [11, 16, 17]. Work has also been done to show how hosting capacity is a factor of the distribution

64

UD11

12.47 kV, 1.71 MW peak load Max daytime load = 1.63 MW (96%) Min daytime load = 0.73 MW (40%)

Voltage Profile: Basecase without PV

Bottom of Band bus voltages average 1.85V lower

PV Impact Signature

Locational Hosting Capacity

Substation

Fixed Capacitor

End of Feeder (3-phase)

5.72 km

300 kVAr

300 kVAr

0 1 2 3 4 5 6 7121

122

123

124

125

Distance from Substation (km)

Vo

lta

ge

(1

20

V B

as

e) Max Daytime Load - Top Of Band

PhaseA PhaseB PhaseC Service Range

0 1 2 3 4 5 6 7121

122

123

124

125

Distance from Substation (km)

Vo

lta

ge

(1

20

V B

as

e) Min Daytime Load - Top Of Band

PhaseA PhaseB PhaseC Service Range

0 2 4 6 8 100

10

20

30

40

50

60

70

80

90

100

PV Size (MW)

Sc

en

ari

os

at

Ea

ch

PV

Siz

e W

ith

Vio

lati

on

s (

%)

Any Violations

Over Voltage

Under Voltage

Line Loading

Xfmr Loading

0 2 4 6 8 100

10

20

30

40

50

60

70

80

90

100

Scen

ari

os a

t E

ach

PV

Siz

e W

ith

Vio

lati

on

s (

%)

PV Size (MW)

Hosting Capacity

No Violations

Only Voltage

Only Thermal

Multiple

1 2 3 4 5 6 7 8 9 10+0

10

20

30

40

Locational Hosting Capacity (MW)

Perc

en

t o

f L

oc

ati

on

s (

%) Histogram of Locational Hosting Capacity by Violation Type

Over-Voltage

Under-Voltage

Line Loading

Xfmr Loading

Multiple Violations

Page 65: Novel Methods to Determine Feeder Locational PV Hosting ...hosting capacity for PV [11, 16, 17]. Work has also been done to show how hosting capacity is a factor of the distribution

65

UD12

12.47 kV, 0.72 MW peak load Max daytime load = 0.68 MW (92%) Min daytime load = 0.37 MW (34%)

Voltage Profile: Basecase without PV

Bottom of Band bus voltages average 1.93V lower

PV Impact Signature

Locational Hosting Capacity

Substation

Fixed Capacitor

End of Feeder (3-phase)

15.37 km

300 kVAr

600 kVAr

0 2 4 6 8 10 12 14 16 18122

123

124

125

Distance from Substation (km)

Vo

lta

ge

(1

20

V B

as

e) Max Daytime Load - Top Of Band

PhaseA PhaseB PhaseC Service Range

0 2 4 6 8 10 12 14 16 18122

123

124

125

Distance from Substation (km)

Vo

lta

ge

(1

20

V B

as

e) Min Daytime Load - Top Of Band

PhaseA PhaseB PhaseC Service Range

0 2 4 6 8 100

10

20

30

40

50

60

70

80

90

100

PV Size (MW)

Sc

en

ari

os

at

Ea

ch

PV

Siz

e W

ith

Vio

lati

on

s (

%)

Any Violations

Over Voltage

Under Voltage

Line Loading

Xfmr Loading

0 2 4 6 8 100

10

20

30

40

50

60

70

80

90

100

Sc

en

ari

os

at

Ea

ch

PV

Siz

e W

ith

Vio

lati

on

s (

%)

PV Size (MW)

Hosting Capacity

No Violations

Only Voltage

Only Thermal

Multiple

1 2 3 4 5 6 7 8 9 10+0

20

40

60

Locational Hosting Capacity (MW)

Perc

en

t o

f L

oc

ati

on

s (

%) Histogram of Locational Hosting Capacity by Violation Type

Over-Voltage

Under-Voltage

Line Loading

Xfmr Loading

Multiple Violations

Page 66: Novel Methods to Determine Feeder Locational PV Hosting ...hosting capacity for PV [11, 16, 17]. Work has also been done to show how hosting capacity is a factor of the distribution

66

UD13

12.47 kV, 1.17 MW peak load Max daytime load = 1.15 MW (98%) Min daytime load = 0.50 MW (39%)

Voltage Profile: Basecase without PV

Bottom of Band bus voltages average 1.86V lower

PV Impact Signature

Locational Hosting Capacity

Substation

LTC/VREG

Switching Capacitor

End of Feeder (3-phase)

20.34 km

300 kVAr0 5 10 15 20 25

121

122

123

124

125

Distance from Substation (km)

Vo

lta

ge

(1

20

V B

as

e) Max Daytime Load - Top Of Band

PhaseA PhaseB PhaseC Service Range

0 5 10 15 20 25

121

122

123

124

125

Distance from Substation (km)

Vo

lta

ge

(1

20

V B

as

e) Min Daytime Load - Top Of Band

PhaseA PhaseB PhaseC Service Range

0 2 4 6 8 100

10

20

30

40

50

60

70

80

90

100

PV Size (MW)

Scen

ari

os a

t E

ach

PV

Siz

e W

ith

Vio

lati

on

s (

%)

Any Violations

Over Voltage

Under Voltage

Line Loading

Xfmr Loading

0 2 4 6 8 100

10

20

30

40

50

60

70

80

90

100

Scen

ari

os a

t E

ach

PV

Siz

e W

ith

Vio

lati

on

s (

%)

PV Size (MW)

Hosting Capacity

No Violations

Only Voltage

Only Thermal

Multiple

1 2 3 4 5 6 7 8 9 10+0

20

40

60

Locational Hosting Capacity (MW)

Perc

en

t o

f L

ocati

on

s (

%) Histogram of Locational Hosting Capacity by Violation Type

Over-Voltage

Under-Voltage

Line Loading

Xfmr Loading

Multiple Violations

Page 67: Novel Methods to Determine Feeder Locational PV Hosting ...hosting capacity for PV [11, 16, 17]. Work has also been done to show how hosting capacity is a factor of the distribution

67

UD14

12.47 kV, 0.93 MW peak load Max daytime load = 0.92 MW (99%) Min daytime load = 0.32 MW (27%)

Voltage Profile: Basecase without PV

Bottom of Band bus voltages average 1.85V lower

PV Impact Signature

Locational Hosting Capacity

Substation

Fixed Capacitor

End of Feeder (3-phase)

300 kVAr

10.67 km

0 2 4 6 8 10 12122

123

124

125

Distance from Substation (km)

Vo

lta

ge

(1

20

V B

as

e) Max Daytime Load - Top Of Band

PhaseA PhaseB PhaseC Service Range

0 2 4 6 8 10 12122

123

124

125

Distance from Substation (km)

Vo

lta

ge

(1

20

V B

as

e) Min Daytime Load - Top Of Band

PhaseA PhaseB PhaseC Service Range

0 2 4 6 8 100

10

20

30

40

50

60

70

80

90

100

PV Size (MW)

Scen

ari

os a

t E

ach

PV

Siz

e W

ith

Vio

lati

on

s (

%)

Any Violations

Over Voltage

Under Voltage

Line Loading

Xfmr Loading

0 2 4 6 8 100

10

20

30

40

50

60

70

80

90

100

Sc

en

ari

os

at

Ea

ch

PV

Siz

e W

ith

Vio

lati

on

s (

%)

PV Size (MW)

Hosting Capacity

No Violations

Only Voltage

Only Thermal

Multiple

1 2 3 4 5 6 7 8 9 10+0

20

40

60

Locational Hosting Capacity (MW)

Perc

en

t o

f L

oc

ati

on

s (

%) Histogram of Locational Hosting Capacity by Violation Type

Over-Voltage

Under-Voltage

Line Loading

Xfmr Loading

Multiple Violations

Page 68: Novel Methods to Determine Feeder Locational PV Hosting ...hosting capacity for PV [11, 16, 17]. Work has also been done to show how hosting capacity is a factor of the distribution

68

Ckt5

12.47 kV, 7.35 MW peak load Max daytime load = 6.74 MW (91%) Min daytime load = 1.74 MW (23%)

Voltage Profile: Basecase without PV

Bottom of Band bus voltages average 0.00V lower

PV Impact Signature

Locational Hosting Capacity

Substation

Switching Capacitor

End of Feeder (3-phase)

4.97 km

600 kVAr

600 kVAr

450 kVAr

300 kVAr

0 1 2 3 4 5 6

118

120

122

124

126

Distance from Substation (km)

Vo

lta

ge

(1

20

V B

as

e) Max Daytime Load - Top Of Band

PhaseA PhaseB PhaseC Service Range

0 1 2 3 4 5 6

118

120

122

124

126

Distance from Substation (km)

Vo

lta

ge

(1

20

V B

as

e) Min Daytime Load - Top Of Band

PhaseA PhaseB PhaseC Service Range

0 2 4 6 8 100

10

20

30

40

50

60

70

80

90

100

PV Size (MW)

Sc

en

ari

os

at

Ea

ch

PV

Siz

e W

ith

Vio

lati

on

s (

%)

Any Violations

Over Voltage

Under Voltage

Line Loading

Xfmr Loading

0 2 4 6 8 100

10

20

30

40

50

60

70

80

90

100

Sc

en

ari

os

at

Ea

ch

PV

Siz

e W

ith

Vio

lati

on

s (

%)

PV Size (MW)

Hosting Capacity

No Violations

Only Voltage

Only Thermal

Multiple

1 2 3 4 5 6 7 8 9 10+0

10

20

30

40

Locational Hosting Capacity (MW)

Perc

en

t o

f L

oc

ati

on

s (

%) Histogram of Locational Hosting Capacity by Violation Type

Over-Voltage

Under-Voltage

Line Loading

Xfmr Loading

Multiple Violations

Page 69: Novel Methods to Determine Feeder Locational PV Hosting ...hosting capacity for PV [11, 16, 17]. Work has also been done to show how hosting capacity is a factor of the distribution

69

Ckt7

12.47 kV, 5.67 MW peak load Max daytime load = 5.46 MW (96%) Min daytime load = 2.27 MW (39%)

Voltage Profile: Basecase without PV

Bottom of Band bus voltages average 0.33V lower

PV Impact Signature

Locational Hosting Capacity

Substation

Switching Capacitor

End of Feeder (3-phase)

1200 kVAr1200 kVAr

4.07 km0 0.5 1 1.5 2 2.5 3 3.5 4 4.5

116

118

120

122

124

Distance from Substation (km)

Vo

lta

ge

(1

20

V B

as

e) Max Daytime Load - Top Of Band

PhaseA PhaseB PhaseC Service Range

0 0.5 1 1.5 2 2.5 3 3.5 4 4.5116

118

120

122

124

Distance from Substation (km)

Vo

lta

ge

(1

20

V B

as

e) Min Daytime Load - Top Of Band

PhaseA PhaseB PhaseC Service Range

0 2 4 6 8 100

10

20

30

40

50

60

70

80

90

100

PV Size (MW)

Scen

ari

os a

t E

ach

PV

Siz

e W

ith

Vio

lati

on

s (

%)

Any Violations

Over Voltage

Under Voltage

Line Loading

Xfmr Loading

0 2 4 6 8 100

10

20

30

40

50

60

70

80

90

100

Sc

en

ari

os

at

Ea

ch

PV

Siz

e W

ith

Vio

lati

on

s (

%)

PV Size (MW)

Hosting Capacity

No Violations

Only Voltage

Only Thermal

Multiple

1 2 3 4 5 6 7 8 9 10+0

10

20

30

40

Locational Hosting Capacity (MW)

Perc

en

t o

f L

oc

ati

on

s (

%) Histogram of Locational Hosting Capacity by Violation Type

Over-Voltage

Under-Voltage

Line Loading

Xfmr Loading

Multiple Violations

Page 70: Novel Methods to Determine Feeder Locational PV Hosting ...hosting capacity for PV [11, 16, 17]. Work has also been done to show how hosting capacity is a factor of the distribution

70

J1

12.47 kV, 6.34 MW peak load Max daytime load = 5.73 MW (90%) Min daytime load = 1.04 MW (16%)

Voltage Profile: Basecase without PV

Bottom of Band bus voltages average 1.96V lower

PV Impact Signature

Locational Hosting Capacity

Substation

LTC/VREG

Fixed Capacitor

Switching Capacitor

End of Feeder (3-phase)

12.91 km

1200 kVAr

900 kVAr

600 kVAr

600 kVAr

600 kVAr

0 2 4 6 8 10 12 14 16 18 20118

120

122

124

126

Distance from Substation (km)

Vo

lta

ge

(1

20

V B

as

e) Max Daytime Load - Top Of Band

PhaseA PhaseB PhaseC Service Range

0 2 4 6 8 10 12 14 16 18 20118

120

122

124

126

Distance from Substation (km)

Vo

lta

ge

(1

20

V B

as

e) Min Daytime Load - Top Of Band

PhaseA PhaseB PhaseC Service Range

0 2 4 6 8 100

10

20

30

40

50

60

70

80

90

100

PV Size (MW)

Scen

ari

os a

t E

ach

PV

Siz

e W

ith

Vio

lati

on

s (

%)

Any Violations

Over Voltage

Under Voltage

Line Loading

Xfmr Loading

0 2 4 6 8 100

10

20

30

40

50

60

70

80

90

100

Sc

en

ari

os

at

Ea

ch

PV

Siz

e W

ith

Vio

lati

on

s (

%)

PV Size (MW)

Hosting Capacity

No Violations

Only Voltage

Only Thermal

Multiple

1 2 3 4 5 6 7 8 9 10+0

50

100

Locational Hosting Capacity (MW)

Perc

en

t o

f L

oc

ati

on

s (

%) Histogram of Locational Hosting Capacity by Violation Type

Over-Voltage

Under-Voltage

Line Loading

Xfmr Loading

Multiple Violations

Page 71: Novel Methods to Determine Feeder Locational PV Hosting ...hosting capacity for PV [11, 16, 17]. Work has also been done to show how hosting capacity is a factor of the distribution

71

UT11

12.47 kV, 7.07 MW peak load Max daytime load = 6.12 MW (86%) Min daytime load = 2.58 MW (34%)

Voltage Profile: Basecase without PV

Bottom of Band bus voltages average 1.90V lower

PV Impact Signature

Locational Hosting Capacity

Substation

Fixed Capacitor

End of Feeder (3-phase)

12.63 km

600 kVAr

300 kVAr

300 kVAr

0 2 4 6 8 10 12 14 16

120

122

124

Distance from Substation (km)

Vo

lta

ge

(1

20

V B

as

e) Max Daytime Load - Top Of Band

PhaseA PhaseB PhaseC Service Range

0 2 4 6 8 10 12 14 16

120

122

124

Distance from Substation (km)

Vo

lta

ge

(1

20

V B

as

e) Min Daytime Load - Top Of Band

PhaseA PhaseB PhaseC Service Range

0 2 4 6 8 100

10

20

30

40

50

60

70

80

90

100

PV Size (MW)

Scen

ari

os a

t E

ach

PV

Siz

e W

ith

Vio

lati

on

s (

%)

Any Violations

Over Voltage

Under Voltage

Line Loading

Xfmr Loading

0 2 4 6 8 100

10

20

30

40

50

60

70

80

90

100

Scen

ari

os a

t E

ach

PV

Siz

e W

ith

Vio

lati

on

s (

%)

PV Size (MW)

Hosting Capacity

No Violations

Only Voltage

Only Thermal

Multiple

1 2 3 4 5 6 7 8 9 10+0

10

20

30

40

Locational Hosting Capacity (MW)

Perc

en

t o

f L

ocati

on

s (

%) Histogram of Locational Hosting Capacity by Violation Type

Over-Voltage

Under-Voltage

Line Loading

Xfmr Loading

Multiple Violations

Page 72: Novel Methods to Determine Feeder Locational PV Hosting ...hosting capacity for PV [11, 16, 17]. Work has also been done to show how hosting capacity is a factor of the distribution

72

UT13

12.47 kV, 5.14 MW peak load Max daytime load = 4.45 MW (86%) Min daytime load = 1.85 MW (34%)

Voltage Profile: Basecase without PV

Bottom of Band bus voltages average 1.89V lower

PV Impact Signature

Locational Hosting Capacity

Substation

Fixed Capacitor

End of Feeder (3-phase)

6.74 km

600 kVAr

0 1 2 3 4 5 6 7118

120

122

124

Distance from Substation (km)

Vo

lta

ge

(1

20

V B

as

e) Max Daytime Load - Top Of Band

PhaseA PhaseB PhaseC Service Range

0 1 2 3 4 5 6 7118

120

122

124

Distance from Substation (km)

Vo

lta

ge

(1

20

V B

as

e) Min Daytime Load - Top Of Band

PhaseA PhaseB PhaseC Service Range

0 2 4 6 8 100

10

20

30

40

50

60

70

80

90

100

PV Size (MW)

Sc

en

ari

os

at

Ea

ch

PV

Siz

e W

ith

Vio

lati

on

s (

%)

Any Violations

Over Voltage

Under Voltage

Line Loading

Xfmr Loading

0 2 4 6 8 100

10

20

30

40

50

60

70

80

90

100

Sc

en

ari

os

at

Ea

ch

PV

Siz

e W

ith

Vio

lati

on

s (

%)

PV Size (MW)

Hosting Capacity

No Violations

Only Voltage

Only Thermal

Multiple

1 2 3 4 5 6 7 8 9 10+0

10

20

30

40

Locational Hosting Capacity (MW)

Perc

en

t o

f L

oc

ati

on

s (

%) Histogram of Locational Hosting Capacity by Violation Type

Over-Voltage

Under-Voltage

Line Loading

Xfmr Loading

Multiple Violations

Page 73: Novel Methods to Determine Feeder Locational PV Hosting ...hosting capacity for PV [11, 16, 17]. Work has also been done to show how hosting capacity is a factor of the distribution

73

UT16

12.47 kV, 3.98 MW peak load Max daytime load = 3.56 MW (89%) Min daytime load = 1.51 MW (36%)

Voltage Profile: Basecase without PV

Bottom of Band bus voltages average 1.85V lower

PV Impact Signature

Locational Hosting Capacity

Substation

End of Feeder (3-phase)

4.66 km

0 0.5 1 1.5 2 2.5 3 3.5 4 4.5 5

120

122

124

Distance from Substation (km)

Vo

lta

ge

(1

20

V B

as

e) Max Daytime Load - Top Of Band

PhaseA PhaseB PhaseC Service Range

0 0.5 1 1.5 2 2.5 3 3.5 4 4.5 5

120

122

124

Distance from Substation (km)

Vo

lta

ge

(1

20

V B

as

e) Min Daytime Load - Top Of Band

PhaseA PhaseB PhaseC Service Range

0 2 4 6 8 100

10

20

30

40

50

60

70

80

90

100

PV Size (MW)

Sc

en

ari

os

at

Ea

ch

PV

Siz

e W

ith

Vio

lati

on

s (

%)

Any Violations

Over Voltage

Under Voltage

Line Loading

Xfmr Loading

0 2 4 6 8 100

10

20

30

40

50

60

70

80

90

100

Scen

ari

os a

t E

ach

PV

Siz

e W

ith

Vio

lati

on

s (

%)

PV Size (MW)

Hosting Capacity

No Violations

Only Voltage

Only Thermal

Multiple

1 2 3 4 5 6 7 8 9 10+0

10

20

30

40

Locational Hosting Capacity (MW)

Perc

en

t o

f L

ocati

on

s (

%) Histogram of Locational Hosting Capacity by Violation Type

Over-Voltage

Under-Voltage

Line Loading

Xfmr Loading

Multiple Violations

Page 74: Novel Methods to Determine Feeder Locational PV Hosting ...hosting capacity for PV [11, 16, 17]. Work has also been done to show how hosting capacity is a factor of the distribution

74

UT18

12.47 kV, 4.18 MW peak load Max daytime load = 3.76 MW (89%) Min daytime load = 1.65 MW (36%)

Voltage Profile: Basecase without PV

Bottom of Band bus voltages average 1.88V lower

PV Impact Signature

Locational Hosting Capacity

Substation

Fixed Capacitor

End of Feeder (3-phase)

300 kVAr

300 kVAr

5.42 km

0 1 2 3 4 5 6

120

122

124

Distance from Substation (km)

Vo

lta

ge

(1

20

V B

as

e) Max Daytime Load - Top Of Band

PhaseA PhaseB PhaseC Service Range

0 1 2 3 4 5 6

120

122

124

Distance from Substation (km)

Vo

lta

ge

(1

20

V B

as

e) Min Daytime Load - Top Of Band

PhaseA PhaseB PhaseC Service Range

0 2 4 6 8 100

10

20

30

40

50

60

70

80

90

100

PV Size (MW)

Scen

ari

os a

t E

ach

PV

Siz

e W

ith

Vio

lati

on

s (

%)

Any Violations

Over Voltage

Under Voltage

Line Loading

Xfmr Loading

0 2 4 6 8 100

10

20

30

40

50

60

70

80

90

100

Sc

en

ari

os

at

Ea

ch

PV

Siz

e W

ith

Vio

lati

on

s (

%)

PV Size (MW)

Hosting Capacity

No Violations

Only Voltage

Only Thermal

Multiple

1 2 3 4 5 6 7 8 9 10+0

10

20

30

40

Locational Hosting Capacity (MW)

Perc

en

t o

f L

oc

ati

on

s (

%) Histogram of Locational Hosting Capacity by Violation Type

Over-Voltage

Under-Voltage

Line Loading

Xfmr Loading

Multiple Violations

Page 75: Novel Methods to Determine Feeder Locational PV Hosting ...hosting capacity for PV [11, 16, 17]. Work has also been done to show how hosting capacity is a factor of the distribution

75

UT19

12.47 kV, 2.70 MW peak load Max daytime load = 2.70 MW (100%) Min daytime load = 0.86 MW (30%)

Voltage Profile: Basecase without PV

Bottom of Band bus voltages average 1.84V lower

PV Impact Signature

Locational Hosting Capacity

Substation

End of Feeder (3-phase)

3.37 km

0 0.5 1 1.5 2 2.5 3 3.5

121

122

123

124

125

Distance from Substation (km)

Vo

lta

ge

(1

20

V B

as

e) Max Daytime Load - Top Of Band

PhaseA PhaseB PhaseC Service Range

0 0.5 1 1.5 2 2.5 3 3.5

121

122

123

124

125

Distance from Substation (km)

Vo

lta

ge

(1

20

V B

as

e) Min Daytime Load - Top Of Band

PhaseA PhaseB PhaseC Service Range

0 2 4 6 8 100

10

20

30

40

50

60

70

80

90

100

PV Size (MW)

Scen

ari

os a

t E

ach

PV

Siz

e W

ith

Vio

lati

on

s (

%)

Any Violations

Over Voltage

Under Voltage

Line Loading

Xfmr Loading

0 2 4 6 8 100

10

20

30

40

50

60

70

80

90

100

Scen

ari

os a

t E

ach

PV

Siz

e W

ith

Vio

lati

on

s (

%)

PV Size (MW)

Hosting Capacity

No Violations

Only Voltage

Only Thermal

Multiple

1 2 3 4 5 6 7 8 9 10+0

10

20

30

40

Locational Hosting Capacity (MW)

Perc

en

t o

f L

ocati

on

s (

%) Histogram of Locational Hosting Capacity by Violation Type

Over-Voltage

Under-Voltage

Line Loading

Xfmr Loading

Multiple Violations

Page 76: Novel Methods to Determine Feeder Locational PV Hosting ...hosting capacity for PV [11, 16, 17]. Work has also been done to show how hosting capacity is a factor of the distribution

76

M1

12.47 kV, 5.82 MW peak load Max daytime load = 5.53 MW (95%) Min daytime load = 1.65 MW (28%)

Voltage Profile: Basecase without PV

Bottom of Band bus voltages average 2.96V lower

PV Impact Signature

Locational Hosting Capacity

Substation

Switching Capacitor

End of Feeder (3-phase)

1200 kVAr

1200 kVAr

1200 kVAr

2.93 km

0 0.5 1 1.5 2 2.5 3 3.5 4118

120

122

124

Distance from Substation (km)

Vo

lta

ge

(1

20

V B

as

e) Max Daytime Load - Top Of Band

PhaseA PhaseB PhaseC Service Range

0 0.5 1 1.5 2 2.5 3 3.5 4118

120

122

124

Distance from Substation (km)

Vo

lta

ge

(1

20

V B

as

e) Min Daytime Load - Top Of Band

PhaseA PhaseB PhaseC Service Range

0 2 4 6 8 100

10

20

30

40

50

60

70

80

90

100

PV Size (MW)

Scen

ari

os a

t E

ach

PV

Siz

e W

ith

Vio

lati

on

s (

%)

Any Violations

Over Voltage

Under Voltage

Line Loading

Xfmr Loading

0 2 4 6 8 100

10

20

30

40

50

60

70

80

90

100

Sc

en

ari

os

at

Ea

ch

PV

Siz

e W

ith

Vio

lati

on

s (

%)

PV Size (MW)

Hosting Capacity

No Violations

Only Voltage

Only Thermal

Multiple

1 2 3 4 5 6 7 8 9 10+0

50

100

Locational Hosting Capacity (MW)

Perc

en

t o

f L

oc

ati

on

s (

%) Histogram of Locational Hosting Capacity by Violation Type

Over-Voltage

Under-Voltage

Line Loading

Xfmr Loading

Multiple Violations

Page 77: Novel Methods to Determine Feeder Locational PV Hosting ...hosting capacity for PV [11, 16, 17]. Work has also been done to show how hosting capacity is a factor of the distribution

77

K1

13.2 kV, 4.86 MW peak load Max daytime load = 4.63 MW (95%) Min daytime load = 1.38 MW (28%)

Voltage Profile: Basecase without PV

Bottom of Band bus voltages average 2.07V lower

PV Impact Signature

Locational Hosting Capacity

Substation

Fixed Capacitor

End of Feeder (3-phase)

5.48 km

300 kVAr

0 1 2 3 4 5 6 7 8116

118

120

122

124

Distance from Substation (km)

Vo

lta

ge

(1

20

V B

as

e) Max Daytime Load - Top Of Band

PhaseA PhaseB PhaseC Service Range

0 1 2 3 4 5 6 7 8116

118

120

122

124

Distance from Substation (km)

Vo

lta

ge

(1

20

V B

as

e) Min Daytime Load - Top Of Band

PhaseA PhaseB PhaseC Service Range

0 2 4 6 8 100

10

20

30

40

50

60

70

80

90

100

PV Size (MW)

Scen

ari

os a

t E

ach

PV

Siz

e W

ith

Vio

lati

on

s (

%)

Any Violations

Over Voltage

Under Voltage

Line Loading

Xfmr Loading

0 2 4 6 8 100

10

20

30

40

50

60

70

80

90

100

Scen

ari

os a

t E

ach

PV

Siz

e W

ith

Vio

lati

on

s (

%)

PV Size (MW)

Hosting Capacity

No Violations

Only Voltage

Only Thermal

Multiple

1 2 3 4 5 6 7 8 9 10+0

20

40

60

Locational Hosting Capacity (MW)

Perc

en

t o

f L

ocati

on

s (

%) Histogram of Locational Hosting Capacity by Violation Type

Over-Voltage

Under-Voltage

Line Loading

Xfmr Loading

Multiple Violations

Page 78: Novel Methods to Determine Feeder Locational PV Hosting ...hosting capacity for PV [11, 16, 17]. Work has also been done to show how hosting capacity is a factor of the distribution

78

CL1

16 kV, 5.87 MW peak load Max daytime load = 5.21 MW (89%) Min daytime load = 1.97 MW (33%)

Voltage Profile: Basecase without PV

Bottom of Band bus voltages average 2.09 V lower

PV Impact Signature

Locational Hosting Capacity

Substation

Switching Capacitor

End of Feeder (3-phase)

900 kVAr4.15 km

1200 kVAr

900 kVAr

0 0.5 1 1.5 2 2.5 3 3.5 4 4.5120

121

122

123

124

Distance from Substation (km)

Vo

lta

ge

(1

20

V B

as

e) Max Daytime Load - Top Of Band

PhaseA PhaseB PhaseC Service Range

0 0.5 1 1.5 2 2.5 3 3.5 4 4.5120

121

122

123

124

Distance from Substation (km)

Vo

lta

ge

(1

20

V B

as

e) Min Daytime Load - Top Of Band

PhaseA PhaseB PhaseC Service Range

0 5 10 150

10

20

30

40

50

60

70

80

90

100

PV Size (MW)

Scen

ari

os a

t E

ach

PV

Siz

e W

ith

Vio

lati

on

s (

%)

Any Violations

Over Voltage

Under Voltage

Line Loading

Xfmr Loading

0 5 10 150

10

20

30

40

50

60

70

80

90

100

Scen

ari

os a

t E

ach

PV

Siz

e W

ith

Vio

lati

on

s (

%)

PV Size (MW)

Hosting Capacity

No Violations

Only Voltage

Only Thermal

Multiple

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15+0

20

40

60

80

Locational Hosting Capacity (MW)

Perc

en

t o

f L

oc

ati

on

s (

%) Histogram of Locational Hosting Capacity by Violation Type

Over-Voltage

Under-Voltage

Line Loading

Xfmr Loading

Multiple Violations

Page 79: Novel Methods to Determine Feeder Locational PV Hosting ...hosting capacity for PV [11, 16, 17]. Work has also been done to show how hosting capacity is a factor of the distribution

79

ML1

19.8 kV, 6.93 MW peak load Max daytime load = 6.93 MW (100%) Min daytime load = 2.52 MW (36%)

Voltage Profile: Basecase without PV

Bottom of Band bus voltages average 2.92V lower

PV Impact Signature

Locational Hosting Capacity

Substation

Fixed Capacitor

Switching Capacitor

End of Feeder (3-phase)

1200 kVAr

5.41 km

900 kVAr

1200 kVAr

0 0.5 1 1.5 2 2.5 3 3.5 4 4.5 5 5.5

122

124

126

Distance from Substation (km)

Vo

lta

ge

(1

20

V B

as

e) Max Daytime Load - Top Of Band

PhaseA PhaseB PhaseC Service Range

0 0.5 1 1.5 2 2.5 3 3.5 4 4.5 5 5.5

122

124

126

Distance from Substation (km)

Vo

lta

ge

(1

20

V B

as

e) Min Daytime Load - Top Of Band

PhaseA PhaseB PhaseC Service Range

0 5 10 150

10

20

30

40

50

60

70

80

90

100

PV Size (MW)

Sc

en

ari

os

at

Ea

ch

PV

Siz

e W

ith

Vio

lati

on

s (

%)

Any Violations

Over Voltage

Under Voltage

Line Loading

Xfmr Loading

0 5 10 150

10

20

30

40

50

60

70

80

90

100

Scen

ari

os a

t E

ach

PV

Siz

e W

ith

Vio

lati

on

s (

%)

PV Size (MW)

Hosting Capacity

No Violations

Only Voltage

Only Thermal

Multiple

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15+0

5

10

15

20

Locational Hosting Capacity (MW)

Perc

en

t o

f L

oc

ati

on

s (

%) Histogram of Locational Hosting Capacity by Violation Type

Over-Voltage

Under-Voltage

Line Loading

Xfmr Loading

Multiple Violations

Page 80: Novel Methods to Determine Feeder Locational PV Hosting ...hosting capacity for PV [11, 16, 17]. Work has also been done to show how hosting capacity is a factor of the distribution

80

GL1

19.8 kV, 3.27 MW peak load Max daytime load = 3.19 MW (97%) Min daytime load = 2.05 MW (61%)

Voltage Profile: Basecase without PV

Bottom of Band bus voltages average 3.24V lower

PV Impact Signature

Locational Hosting Capacity

Substation

End of Feeder (3-phase)

3.72 km0 0.5 1 1.5 2 2.5 3 3.5 4

120

121

122

123

124

125

Distance from Substation (km)

Vo

lta

ge

(1

20

V B

as

e) Max Daytime Load - Top Of Band

PhaseA PhaseB PhaseC Service Range

0 0.5 1 1.5 2 2.5 3 3.5 4120

121

122

123

124

125

Distance from Substation (km)

Vo

lta

ge

(1

20

V B

as

e) Min Daytime Load - Top Of Band

PhaseA PhaseB PhaseC Service Range

0 5 10 150

10

20

30

40

50

60

70

80

90

100

PV Size (MW)

Scen

ari

os a

t E

ach

PV

Siz

e W

ith

Vio

lati

on

s (

%)

Any Violations

Over Voltage

Under Voltage

Line Loading

Xfmr Loading

0 5 10 150

10

20

30

40

50

60

70

80

90

100

Scen

ari

os a

t E

ach

PV

Siz

e W

ith

Vio

lati

on

s (

%)

PV Size (MW)

Hosting Capacity

No Violations

Only Voltage

Only Thermal

Multiple

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15+0

10

20

30

40

Locational Hosting Capacity (MW)

Perc

en

t o

f L

oc

ati

on

s (

%) Histogram of Locational Hosting Capacity by Violation Type

Over-Voltage

Under-Voltage

Line Loading

Xfmr Loading

Multiple Violations

Page 81: Novel Methods to Determine Feeder Locational PV Hosting ...hosting capacity for PV [11, 16, 17]. Work has also been done to show how hosting capacity is a factor of the distribution

81

GL2

19.8 kV, 2.23 MW peak load Max daytime load = 2.21 MW (99%) Min daytime load = 1.28 MW (56%)

Voltage Profile: Basecase without PV

Bottom of Band bus voltages average 3.24V lower

PV Impact Signature

Locational Hosting Capacity

Substation

End of Feeder (3-phase)

4.18 km

0 0.5 1 1.5 2 2.5 3 3.5 4 4.5120

121

122

123

124

125

Distance from Substation (km)

Vo

lta

ge

(1

20

V B

as

e) Max Daytime Load - Top Of Band

PhaseA PhaseB PhaseC Service Range

0 0.5 1 1.5 2 2.5 3 3.5 4 4.5120

121

122

123

124

125

Distance from Substation (km)

Vo

lta

ge

(1

20

V B

as

e) Min Daytime Load - Top Of Band

PhaseA PhaseB PhaseC Service Range

0 5 10 150

10

20

30

40

50

60

70

80

90

100

PV Size (MW)

Sc

en

ari

os

at

Ea

ch

PV

Siz

e W

ith

Vio

lati

on

s (

%)

Any Violations

Over Voltage

Under Voltage

Line Loading

Xfmr Loading

0 5 10 150

10

20

30

40

50

60

70

80

90

100

Sc

en

ari

os

at

Ea

ch

PV

Siz

e W

ith

Vio

lati

on

s (

%)

PV Size (MW)

Hosting Capacity

No Violations

Only Voltage

Only Thermal

Multiple

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15+0

20

40

60

Locational Hosting Capacity (MW)

Perc

en

t o

f L

oc

ati

on

s (

%) Histogram of Locational Hosting Capacity by Violation Type

Over-Voltage

Under-Voltage

Line Loading

Xfmr Loading

Multiple Violations

Page 82: Novel Methods to Determine Feeder Locational PV Hosting ...hosting capacity for PV [11, 16, 17]. Work has also been done to show how hosting capacity is a factor of the distribution

82

GL3

19.8 kV, 2.61 MW peak load Max daytime load = 2.39 MW (91%) Min daytime load = 1.08 MW (40%)

Voltage Profile: Basecase without PV

Bottom of Band bus voltages average 3.17V lower

PV Impact Signature

Locational Hosting Capacity

Substation

End of Feeder (3-phase)

3.58 km

0 0.5 1 1.5 2 2.5 3 3.5 4121

122

123

124

125

Distance from Substation (km)

Vo

lta

ge

(1

20

V B

as

e) Max Daytime Load - Top Of Band

PhaseA PhaseB PhaseC Service Range

0 0.5 1 1.5 2 2.5 3 3.5 4121

122

123

124

125

Distance from Substation (km)

Vo

lta

ge

(1

20

V B

as

e) Min Daytime Load - Top Of Band

PhaseA PhaseB PhaseC Service Range

0 5 10 150

10

20

30

40

50

60

70

80

90

100

PV Size (MW)

Sc

en

ari

os

at

Ea

ch

PV

Siz

e W

ith

Vio

lati

on

s (

%)

Any Violations

Over Voltage

Under Voltage

Line Loading

Xfmr Loading

0 5 10 150

10

20

30

40

50

60

70

80

90

100

Sc

en

ari

os a

t E

ach

PV

Siz

e W

ith

Vio

lati

on

s (

%)

PV Size (MW)

Hosting Capacity

No Violations

Only Voltage

Only Thermal

Multiple

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15+0

20

40

60

80

Locational Hosting Capacity (MW)

Perc

en

t o

f L

oc

ati

on

s (

%) Histogram of Locational Hosting Capacity by Violation Type

Over-Voltage

Under-Voltage

Line Loading

Xfmr Loading

Multiple Violations

Page 83: Novel Methods to Determine Feeder Locational PV Hosting ...hosting capacity for PV [11, 16, 17]. Work has also been done to show how hosting capacity is a factor of the distribution

83

GL4

19.8 kV, 2.51 MW peak load Max daytime load = 2.38 MW (95%) Min daytime load = 1.62 MW (63%)

Voltage Profile: Basecase without PV

Bottom of Band bus voltages average 3.19V lower

PV Impact Signature

Locational Hosting Capacity

Substation

End of Feeder (3-phase)

2.61 km

0 0.5 1 1.5 2 2.5 3120

122

124

126

Distance from Substation (km)

Vo

lta

ge

(1

20

V B

as

e) Max Daytime Load - Top Of Band

PhaseA PhaseB PhaseC Service Range

0 0.5 1 1.5 2 2.5 3120

122

124

126

Distance from Substation (km)

Vo

lta

ge

(1

20

V B

as

e) Min Daytime Load - Top Of Band

PhaseA PhaseB PhaseC Service Range

0 5 10 150

10

20

30

40

50

60

70

80

90

100

PV Size (MW)

Sc

en

ari

os

at

Ea

ch

PV

Siz

e W

ith

Vio

lati

on

s (

%)

Any Violations

Over Voltage

Under Voltage

Line Loading

Xfmr Loading

0 5 10 150

10

20

30

40

50

60

70

80

90

100

Scen

ari

os a

t E

ach

PV

Siz

e W

ith

Vio

lati

on

s (

%)

PV Size (MW)

Hosting Capacity

No Violations

Only Voltage

Only Thermal

Multiple

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15+0

20

40

60

Locational Hosting Capacity (MW)

Perc

en

t o

f L

oc

ati

on

s (

%) Histogram of Locational Hosting Capacity by Violation Type

Over-Voltage

Under-Voltage

Line Loading

Xfmr Loading

Multiple Violations

Page 84: Novel Methods to Determine Feeder Locational PV Hosting ...hosting capacity for PV [11, 16, 17]. Work has also been done to show how hosting capacity is a factor of the distribution

84

GL5

19.8 kV, 3.97 MW peak load Max daytime load = 3.86 MW (97%) Min daytime load = 1.91 MW (47%)

Voltage Profile: Basecase without PV

Bottom of Band bus voltages average 3.24V lower

PV Impact Signature

Locational Hosting Capacity

Substation

End of Feeder (3-phase)

3.67 km

0 0.5 1 1.5 2 2.5 3 3.5 4

122

124

126

Distance from Substation (km)

Vo

lta

ge

(1

20

V B

as

e) Max Daytime Load - Top Of Band

PhaseA PhaseB PhaseC Service Range

0 0.5 1 1.5 2 2.5 3 3.5 4

122

124

126

Distance from Substation (km)

Vo

lta

ge

(1

20

V B

as

e) Min Daytime Load - Top Of Band

PhaseA PhaseB PhaseC Service Range

0 5 10 150

10

20

30

40

50

60

70

80

90

100

PV Size (MW)

Scen

ari

os a

t E

ach

PV

Siz

e W

ith

Vio

lati

on

s (

%)

Any Violations

Over Voltage

Under Voltage

Line Loading

Xfmr Loading

0 5 10 150

10

20

30

40

50

60

70

80

90

100

Sc

en

ari

os

at

Ea

ch

PV

Siz

e W

ith

Vio

lati

on

s (

%)

PV Size (MW)

Hosting Capacity

No Violations

Only Voltage

Only Thermal

Multiple

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15+0

10

20

30

40

Locational Hosting Capacity (MW)

Perc

en

t o

f L

ocati

on

s (

%) Histogram of Locational Hosting Capacity by Violation Type

Over-Voltage

Under-Voltage

Line Loading

Xfmr Loading

Multiple Violations

Page 85: Novel Methods to Determine Feeder Locational PV Hosting ...hosting capacity for PV [11, 16, 17]. Work has also been done to show how hosting capacity is a factor of the distribution

85

GL6

19.8 / 4.16 kV (19.8 kV analyzed), 4.75 MW peak load Max daytime load = 4.67 MW (98%) Min daytime load = 1.35 MW (28%)

Voltage Profile: Basecase without PV

Bottom of Band bus voltages average 3.25V lower

PV Impact Signature

Locational Hosting Capacity

Substation

End of Feeder (3-phase)

4.07 km

0 0.5 1 1.5 2 2.5 3 3.5 4 4.5

120

122

124

126

Distance from Substation (km)

Vo

lta

ge

(1

20

V B

as

e) Max Daytime Load - Top Of Band

PhaseA PhaseB PhaseC Service Range

0 0.5 1 1.5 2 2.5 3 3.5 4 4.5

120

122

124

126

Distance from Substation (km)

Vo

lta

ge

(1

20

V B

as

e) Min Daytime Load - Top Of Band

PhaseA PhaseB PhaseC Service Range

0 5 10 150

10

20

30

40

50

60

70

80

90

100

PV Size (MW)

Scen

ari

os a

t E

ach

PV

Siz

e W

ith

Vio

lati

on

s (

%)

Any Violations

Over Voltage

Under Voltage

Line Loading

Xfmr Loading

0 5 10 150

10

20

30

40

50

60

70

80

90

100

Scen

ari

os a

t E

ach

PV

Siz

e W

ith

Vio

lati

on

s (

%)

PV Size (MW)

Hosting Capacity

No Violations

Only Voltage

Only Thermal

Multiple

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15+0

10

20

30

40

Locational Hosting Capacity (MW)

Perc

en

t o

f L

oc

ati

on

s (

%) Histogram of Locational Hosting Capacity by Violation Type

Over-Voltage

Under-Voltage

Line Loading

Xfmr Loading

Multiple Violations

Page 86: Novel Methods to Determine Feeder Locational PV Hosting ...hosting capacity for PV [11, 16, 17]. Work has also been done to show how hosting capacity is a factor of the distribution

86

GN1

19.8 kV, 2.86 MW peak load Max daytime load = 2.85 MW (99%) Min daytime load = 2.16 MW (75%)

Voltage Profile: Basecase without PV

Bottom of Band bus voltages average 2.48 V lower

PV Impact Signature

Locational Hosting Capacity

Substation

End of Feeder (3-phase)

1.60 km

0 0.5 1 1.5 2 2.5 3121

122

123

124

125

Distance from Substation (km)

Vo

lta

ge

(1

20

V B

as

e) Max Daytime Load - Top Of Band

PhaseA PhaseB PhaseC Service Range

0 0.5 1 1.5 2 2.5 3121

122

123

124

125

Distance from Substation (km)

Vo

lta

ge

(1

20

V B

as

e) Min Daytime Load - Top Of Band

PhaseA PhaseB PhaseC Service Range

0 5 10 150

10

20

30

40

50

60

70

80

90

100

PV Size (MW)

Sc

en

ari

os

at

Ea

ch

PV

Siz

e W

ith

Vio

lati

on

s (

%)

Any Violations

Over Voltage

Under Voltage

Line Loading

Xfmr Loading

0 5 10 150

10

20

30

40

50

60

70

80

90

100

Scen

ari

os a

t E

ach

PV

Siz

e W

ith

Vio

lati

on

s (

%)

PV Size (MW)

Hosting Capacity

No Violations

Only Voltage

Only Thermal

Multiple

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15+0

20

40

60

80

Locational Hosting Capacity (MW)

Perc

en

t o

f L

oc

ati

on

s (

%) Histogram of Locational Hosting Capacity by Violation Type

Over-Voltage

Under-Voltage

Line Loading

Xfmr Loading

Multiple Violations

Page 87: Novel Methods to Determine Feeder Locational PV Hosting ...hosting capacity for PV [11, 16, 17]. Work has also been done to show how hosting capacity is a factor of the distribution

87

GN3

19.8 kV, 5.55 MW peak load Max daytime load = 5.53 MW (99%) Min daytime load = 4.23 MW (75%)

Voltage Profile: Basecase without PV

Bottom of Band bus voltages average 2.47 V lower

PV Impact Signature

Locational Hosting Capacity

Substation

End of Feeder (3-phase)

1.85 km

0 0.5 1 1.5 2 2.5 3 3.5 4

121

122

123

124

125

Distance from Substation (km)

Vo

lta

ge

(1

20

V B

as

e) Max Daytime Load - Top Of Band

PhaseA PhaseB PhaseC Service Range

0 0.5 1 1.5 2 2.5 3 3.5 4

121

122

123

124

125

Distance from Substation (km)

Vo

lta

ge

(1

20

V B

as

e) Min Daytime Load - Top Of Band

PhaseA PhaseB PhaseC Service Range

0 5 10 150

10

20

30

40

50

60

70

80

90

100

PV Size (MW)

Scen

ari

os a

t E

ach

PV

Siz

e W

ith

Vio

lati

on

s (

%)

Any Violations

Over Voltage

Under Voltage

Line Loading

Xfmr Loading

0 5 10 150

10

20

30

40

50

60

70

80

90

100

Scen

ari

os a

t E

ach

PV

Siz

e W

ith

Vio

lati

on

s (

%)

PV Size (MW)

Hosting Capacity

No Violations

Only Voltage

Only Thermal

Multiple

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15+0

20

40

60

Locational Hosting Capacity (MW)

Perc

en

t o

f L

oc

ati

on

s (

%) Histogram of Locational Hosting Capacity by Violation Type

Over-Voltage

Under-Voltage

Line Loading

Xfmr Loading

Multiple Violations

Page 88: Novel Methods to Determine Feeder Locational PV Hosting ...hosting capacity for PV [11, 16, 17]. Work has also been done to show how hosting capacity is a factor of the distribution

88

GN5

19.8 kV, 5.06 MW peak load Max daytime load = 5.05 MW (100%) Min daytime load = 3.61 MW (70%)

Voltage Profile: Basecase without PV

Bottom of Band bus voltages average 2.46 V lower

PV Impact Signature

Locational Hosting Capacity

Substation

End of Feeder (3-phase)

1.71 km

0 0.5 1 1.5 2 2.5 3 3.5121

122

123

124

125

126

Distance from Substation (km)

Vo

lta

ge

(1

20

V B

as

e) Max Daytime Load - Top Of Band

PhaseA PhaseB PhaseC Service Range

0 0.5 1 1.5 2 2.5 3 3.5121

122

123

124

125

126

Distance from Substation (km)

Vo

lta

ge

(1

20

V B

as

e) Min Daytime Load - Top Of Band

PhaseA PhaseB PhaseC Service Range

0 5 10 150

10

20

30

40

50

60

70

80

90

100

PV Size (MW)

Sc

en

ari

os

at

Ea

ch

PV

Siz

e W

ith

Vio

lati

on

s (

%)

Any Violations

Over Voltage

Under Voltage

Line Loading

Xfmr Loading

0 5 10 150

10

20

30

40

50

60

70

80

90

100

Scen

ari

os a

t E

ach

PV

Siz

e W

ith

Vio

lati

on

s (

%)

PV Size (MW)

Hosting Capacity

No Violations

Only Voltage

Only Thermal

Multiple

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15+0

20

40

60

Locational Hosting Capacity (MW)

Perc

en

t o

f L

oc

ati

on

s (

%) Histogram of Locational Hosting Capacity by Violation Type

Over-Voltage

Under-Voltage

Line Loading

Xfmr Loading

Multiple Violations

Page 89: Novel Methods to Determine Feeder Locational PV Hosting ...hosting capacity for PV [11, 16, 17]. Work has also been done to show how hosting capacity is a factor of the distribution

89

GN7

19.8 kV, 7.40 MW peak load Max daytime load = 7.21 MW (97%) Min daytime load = 1.03 MW (14%)

Voltage Profile: Basecase without PV

Bottom of Band bus voltages average 2.49 V lower

PV Impact Signature

Locational Hosting Capacity

Substation

End of Feeder (3-phase)

1.57 km

0 0.5 1 1.5 2 2.5 3 3.5120

121

122

123

124

125

Distance from Substation (km)

Vo

lta

ge

(1

20

V B

as

e) Max Daytime Load - Top Of Band

PhaseA PhaseB PhaseC Service Range

0 0.5 1 1.5 2 2.5 3 3.5120

121

122

123

124

125

Distance from Substation (km)

Vo

lta

ge

(1

20

V B

as

e) Min Daytime Load - Top Of Band

PhaseA PhaseB PhaseC Service Range

0 5 10 150

10

20

30

40

50

60

70

80

90

100

PV Size (MW)

Sc

en

ari

os

at

Ea

ch

PV

Siz

e W

ith

Vio

lati

on

s (

%)

Any Violations

Over Voltage

Under Voltage

Line Loading

Xfmr Loading

0 5 10 150

10

20

30

40

50

60

70

80

90

100

Sc

en

ari

os

at

Ea

ch

PV

Siz

e W

ith

Vio

lati

on

s (

%)

PV Size (MW)

Hosting Capacity

No Violations

Only Voltage

Only Thermal

Multiple

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15+0

20

40

60

80

Locational Hosting Capacity (MW)

Perc

en

t o

f L

oc

ati

on

s (

%) Histogram of Locational Hosting Capacity by Violation Type

Over-Voltage

Under-Voltage

Line Loading

Xfmr Loading

Multiple Violations

Page 90: Novel Methods to Determine Feeder Locational PV Hosting ...hosting capacity for PV [11, 16, 17]. Work has also been done to show how hosting capacity is a factor of the distribution

90

QL1

20.78 kV, 18.63 MW peak load Max daytime load = 16.91 MW (91%) Min daytime load = 4.96 MW (27%)

Voltage Profile: Basecase without PV

Bottom of Band bus voltages average 1.28 V lower

PV Impact Signature

Locational Hosting Capacity

Substation

LTC/VREG

Fixed Capacitor

Switching Capacitor

End of Feeder (3-phase)12.57 km

1800 kVAr

1200 kVAr

900 kVAr1800 kVAr

1200 kVAr

1200 kVAr

1800 kVAr

0 2 4 6 8 10 12 14116

118

120

122

124

126

128

Distance from Substation (km)

Vo

lta

ge

(1

20

V B

as

e) Max Daytime Load - Top Of Band

PhaseA PhaseB PhaseC Service Range

0 2 4 6 8 10 12 14116

118

120

122

124

126

128

Distance from Substation (km)

Vo

lta

ge

(1

20

V B

as

e) Min Daytime Load - Top Of Band

PhaseA PhaseB PhaseC Service Range

0 5 10 150

10

20

30

40

50

60

70

80

90

100

PV Size (MW)

Sc

en

ari

os

at

Ea

ch

PV

Siz

e W

ith

Vio

lati

on

s (

%)

Any Violations

Over Voltage

Under Voltage

Line Loading

Xfmr Loading

0 5 10 150

10

20

30

40

50

60

70

80

90

100

Scen

ari

os a

t E

ach

PV

Siz

e W

ith

Vio

lati

on

s (

%)

PV Size (MW)

Hosting Capacity

No Violations

Only Voltage

Only Thermal

Multiple

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15+0

10

20

30

Locational Hosting Capacity (MW)

Perc

en

t o

f L

oc

ati

on

s (

%) Histogram of Locational Hosting Capacity by Violation Type

Over-Voltage

Under-Voltage

Line Loading

Xfmr Loading

Multiple Violations

Page 91: Novel Methods to Determine Feeder Locational PV Hosting ...hosting capacity for PV [11, 16, 17]. Work has also been done to show how hosting capacity is a factor of the distribution

91

QN1

20.78 kV, 16.71 MW peak load Max daytime load = 16.08 MW (96%) Min daytime load = 6.23 MW (37%)

Voltage Profile: Basecase without PV

Bottom of Band bus voltages average 1.46 V lower

PV Impact Signature

Locational Hosting Capacity

Substation

Switching Capacitor

End of Feeder (3-phase)

10.34 km

1200 kVAr

1800 kVAr 1800 kVAr

1800 kVAr1200 kVAr

1800 kVAr

0 2 4 6 8 10 12

115

120

125

Distance from Substation (km)

Vo

lta

ge

(1

20

V B

as

e) Max Daytime Load - Top Of Band

PhaseA PhaseB PhaseC Service Range

0 2 4 6 8 10 12

115

120

125

Distance from Substation (km)

Vo

lta

ge

(1

20

V B

as

e) Min Daytime Load - Top Of Band

PhaseA PhaseB PhaseC Service Range

0 5 10 150

10

20

30

40

50

60

70

80

90

100

PV Size (MW)

Scen

ari

os a

t E

ach

PV

Siz

e W

ith

Vio

lati

on

s (

%)

Any Violations

Over Voltage

Under Voltage

Line Loading

Xfmr Loading

0 5 10 150

10

20

30

40

50

60

70

80

90

100

Scen

ari

os a

t E

ach

PV

Siz

e W

ith

Vio

lati

on

s (

%)

PV Size (MW)

Hosting Capacity

No Violations

Only Voltage

Only Thermal

Multiple

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15+0

20

40

60

Locational Hosting Capacity (MW)

Perc

en

t o

f L

oc

ati

on

s (

%) Histogram of Locational Hosting Capacity by Violation Type

Over-Voltage

Under-Voltage

Line Loading

Xfmr Loading

Multiple Violations

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92

CH1

33 kV, 16.48 MW peak load Max daytime load = 15.84 MW (96%) Min daytime load = 5.11 MW (31%)

Voltage Profile: Basecase without PV

Bottom of Band bus voltages average 0.99 V lower

PV Impact Signature

Locational Hosting Capacity

Substation

End of Feeder (3-phase)

29.36 km

0 5 10 15 20 25 30123

123.5

124

124.5

125

Distance from Substation (km)

Vo

lta

ge

(1

20

V B

as

e) Max Daytime Load - Top Of Band

PhaseA PhaseB PhaseC Service Range

0 5 10 15 20 25 30123

123.5

124

124.5

125

Distance from Substation (km)

Vo

lta

ge

(1

20

V B

as

e) Min Daytime Load - Top Of Band

PhaseA PhaseB PhaseC Service Range

0 5 10 15 200

10

20

30

40

50

60

70

80

90

100

PV Size (MW)

Sc

en

ari

os

at

Ea

ch

PV

Siz

e W

ith

Vio

lati

on

s (

%)

Any Violations

Over Voltage

Under Voltage

Line Loading

Xfmr Loading

0 5 10 15 200

10

20

30

40

50

60

70

80

90

100

Scen

ari

os a

t E

ach

PV

Siz

e W

ith

Vio

lati

on

s (

%)

PV Size (MW)

Hosting Capacity

No Violations

Only Voltage

Only Thermal

Multiple

2 4 6 8 10 12 14 16 18 20+0

20

40

60

Locational Hosting Capacity (MW)

Perc

en

t o

f L

oc

ati

on

s (

%) Histogram of Locational Hosting Capacity by Violation Type

Over-Voltage

Under-Voltage

Line Loading

Xfmr Loading

Multiple Violations

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93

Ckt24

34.5 / 13.2 kV (34.5 kV analyzed), 28.45 MW peak load Max daytime load = 28.45 MW (100%)

Min daytime load = 6.06 MW (21%)

Voltage Profile: Basecase without PV

Bottom of Band bus voltages average 2.94V lower

PV Impact Signature

Locational Hosting Capacity

Substation

Fixed Capacitor

End of Feeder (3-phase)

6.88 km

900 kVAr1200 kVAr

1200 kVAr

0 2 4 6 8 10 12 14

118

120

122

124

126

Distance from Substation (km)

Vo

lta

ge

(1

20

V B

as

e) Max Daytime Load - Top Of Band

PhaseA PhaseB PhaseC Service Range

0 2 4 6 8 10 12 14

118

120

122

124

126

Distance from Substation (km)

Vo

lta

ge

(1

20

V B

as

e) Min Daytime Load - Top Of Band

PhaseA PhaseB PhaseC Service Range

0 5 10 15 200

10

20

30

40

50

60

70

80

90

100

PV Size (MW)

Scen

ari

os a

t E

ach

PV

Siz

e W

ith

Vio

lati

on

s (

%)

Any Violations

Over Voltage

Under Voltage

Line Loading

Xfmr Loading

0 5 10 15 200

10

20

30

40

50

60

70

80

90

100

Scen

ari

os a

t E

ach

PV

Siz

e W

ith

Vio

lati

on

s (

%)

PV Size (MW)

Hosting Capacity

No Violations

Only Voltage

Only Thermal

Multiple

2 4 6 8 10 12 14 16 18 20+0

20

40

60

Locational Hosting Capacity (MW)

Perc

en

t o

f L

oc

ati

on

s (

%) Histogram of Locational Hosting Capacity by Violation Type

Over-Voltage

Under-Voltage

Line Loading

Xfmr Loading

Multiple Violations

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95

6. CONCLUSION

An advanced PV hosting capacity simulation tool is developed and used to quantify system

impacts for many PV interconnection scenarios, configurations, and locations. The advanced tools

quantify location-specific impacts and the locational hosting capacity of potential PV

interconnection locations on the feeder, including PV impact signatures and zones. A set of 50

different real distribution systems is analyzed in detail to demonstrate the range of scenarios and

impacts that can occur depending on the feeder characteristics and topology.

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96

7. REFERENCES

[1] A. Hoke, R. Butler, J. Hambrick, and B. Kroposki, "Steady-State Analysis of Maximum

Photovoltaic Penetration Levels on Typical Distribution Feeders," IEEE Transactions on

Sustainable Energy, 2012.

[2] J. E. Quiroz, M. J. Reno, and R. J. Broderick, "Time Series Simulation of Voltage

Regulation Device Control Modes," in IEEE Photovoltaic Specialists Conference, 2013.

[3] M. Lave, M. J. Reno, and R. J. Broderick, "Characterizing Local High-Frequency Solar

Variability and the Impact to Distribution Studies," Solar Energy, 2015.

[4] D. T. Rizy, L. Fangxing, L. Huijuan, S. Adhikari, and J. D. Kueck, "Properly understanding

the impacts of distributed resources on distribution systems," in IEEE PES General

Meeting, 2010, pp. 1-5.

[5] J. C. Hernández, M. J. Ortega, J. De la Cruz, and D. Vera, "Guidelines for the technical

assessment of harmonic, flicker and unbalance emission limits for PV-distributed

generation," Electric Power Systems Research, vol. 81, pp. 1247-1257, 2011.

[6] J. Quiroz, M. J. Reno, and R. J. Broderick, "PV-Induced Low Voltage and Mitigation

Options," in IEEE Photovoltaic Specialists Conference, 2015.

[7] E. M. Stewart, T. P. Aukai, S. D. J. MacPherson, B. P. Quach, D. Nakafuji, and R. Davis,

"A realistic irradiance-based voltage flicker analysis of PV applied to Hawaii distribution

feeders," in IEEE Power and Energy Society General Meeting, 2012, pp. 1-7.

[8] H. Ravindra, M. O. Faruque, P. McLaren, K. Schoder, M. Steurer, and R. Meeker, "Impact

of PV on distribution protection system," in North American Power Symposium, 2012.

[9] R. J. Broderick, J. E. Quiroz, M. J. Reno, A. Ellis, J. Smith, and R. Dugan, "Time Series

Power Flow Analysis for Distribution Connected PV Generation," Sandia National

Laboratories SAND2013-0537, 2013.

[10] N. Etherden and M. H. J. Bollen, "Increasing the hosting capacity of distribution networks

by curtailment of renewable energy resources," in IEEE Trondheim PowerTech, 2011.

[11] "Stochastic Analysis to Determine Feeder Hosting Capacity for Distributed Solar PV,"

EPRI, Technical Report 1026640, 2012.

[12] M. Kolenc, I. Papič, and B. Blažič, "Assessment of maximum distributed generation

penetration levels in low voltage networks using a probabilistic approach," International

Journal of Electrical Power & Energy Systems, vol. 64, 2015.

[13] A. Navarro, L. F. Ochoa, and D. Randles, "Monte Carlo-based assessment of PV impacts

on real UK low voltage networks," in IEEE Power and Energy Society General Meeting,

2013.

[14] T. Walla, "Hosting capacity for photovoltaics in Swedish distribution grids," Uppsala

Universitet, 2012.

[15] E. Demirok, D. Sera, and R. Teodorescu, "Estimation of Maximum Allowable PV

Connection to LV Residential Power Networks: A Case Study of Braedstrup," in 1st

International Workshop on Integration of Solar Power into Power Systems, 2011.

[16] J. W. Smith, R. Dugan, M. Rylander, and T. Key, "Advanced distribution planning tools

for high penetration PV deployment," in IEEE Power and Energy Society General Meeting,

2012, pp. 1-7.

[17] "Distributed Photovoltaic Feeder Analysis: Preliminary Findings from Hosting Capacity

Analysis of 18 Distribution Feeders," EPRI, Technical Report 3002001245, 2013.

Page 97: Novel Methods to Determine Feeder Locational PV Hosting ...hosting capacity for PV [11, 16, 17]. Work has also been done to show how hosting capacity is a factor of the distribution

97

[18] T. Degner, G. Arnold, T. Reimann, B. Engel, M. Breede, and P. Strauss, "Increasing the

photovoltaic-system hosting capacity of low voltage distribution networks," in

Proceedings of 21st International Conference on Electricity Distribution, 2011, pp. 1243-

1246.

[19] T. Stetz, M. Kraiczy, M. Braun, and S. Schmidt, "Technical and economical assessment of

voltage control strategies in distribution grids," Progress in Photovoltaics: Research and

Applications, 2013.

[20] J. Seuss, M. J. Reno, R. J. Broderick, and S. Grijalva, "Improving Distribution Network

PV Hosting Capacity via Smart Inverter Reactive Power Support," in IEEE PES General

Meeting, Denver, CO, 2015.

[21] A. Ballanti, F. Pilo, A. Navarro-Espinosa, and L. F. Ochoa, "Assessing the benefits of PV

var absorption on the hosting capacity of LV feeders," in IEEE PES Innovative Smart Grid

Technologies Europe (ISGT EUROPE), 2013, pp. 1-5.

[22] E. Demirok, G. Casado, x, P. lez, K. H. B. Frederiksen, D. Sera, et al., "Local Reactive

Power Control Methods for Overvoltage Prevention of Distributed Solar Inverters in Low-

Voltage Grids," IEEE Journal of Photovoltaics, pp. 174-182, 2011.

[23] C. Bucher, J. Betcke, G. Andersson, B. Bletterie, and L. Küng, "Simulation of distribution

grids with photovoltaics by means of stochastic load profiles and irradiance data," 27th

EUPVSEC Frankfurt, vol. 24, p. 28, 2012.

[24] T. Van Loon, T. Vu Van, A. Woyte, F. Truyens, B. Bletterie, J. Reekers, et al., "Increasing

photovoltaics grid penetration in urban areas through active distribution systems: First

large scale demonstration," in Third International Conference on Infrastructure Systems

and Services: Next Generation Infrastructure Systems for Eco-Cities (INFRA), 2010, pp.

1-4.

[25] D. Geibel, T. Degner, T. Reimann, B. Engel, T. Bülo, J. Da Costa, et al., "Active intelligent

distribution networks-Coordinated voltage regulation methods for networks with high

share of decentralised generation," in CIRED 2012 Workshop: Integration of Renewables

into the Distribution Grid, 2012.

[26] K. Coogan, M. J. Reno, and S. Grijalva, "Locational Dependence of PV Hosting Capacity

Correlated with Feeder Load," in IEEE PES Transmission & Distribution Conference &

Exposition, 2014.

[27] D. Menniti, M. Merlo, N. Scordino, and F. Zanellini, "Distribution network analysis: A

comparison between hosting and loading capacities," in International Symposium on

Power Electronics, Electrical Drives, Automation and Motion (SPEEDAM), 2012.

[28] EPRI. (2015). Open Distribution System Simulator (OpenDSS). Available:

http://sourceforge.net/projects/electricdss/

[29] M. J. Reno and K. Coogan, "Grid Integrated Distributed PV (GridPV)," Sandia National

Labs SAND2013-6733, 2013.

[30] M. J. Reno and K. Coogan, "Grid Integrated Distributed PV (GridPV) Version 2," Sandia

National Labs SAND2014-20141, 2014.

[31] G. J. Shirek and B. A. Lassiter, "Solar plant modeling impacts on distribution systems PV

case study," in IEEE Rural Electric Power Conference (REPC), 2012.

[32] M. J. Reno, R. J. Broderick, and S. Grijalva, "Smart Inverter Capabilities for Mitigating

Over-Voltage on Distribution Systems with High Penetrations of PV," in IEEE

Photovoltaic Specialists Conference, Tampa, FL, 2013.

Page 98: Novel Methods to Determine Feeder Locational PV Hosting ...hosting capacity for PV [11, 16, 17]. Work has also been done to show how hosting capacity is a factor of the distribution

98

[33] J. Seuss, M. J. Reno, M. Lave, R. J. Broderick, and S. Grijalva, "Multi-Objective Advanced

Inverter Controls to Dispatch the Real and Reactive Power of Many Distributed PV

Systems," Sandia National Laboratories SAND2016-0023, 2016.

[34] ANSI, "Standard C84.1-2011 American National Standard For Electric Power Systems and

Equipment - Voltage Ratings (60 Hz)," ed.

[35] B. Mather and S. Shah, "In Divergence There Is Strength: Measuring and Mitigating Solar

PV Impacts in Southern California Using Power Factors Other than One," IEEE Power

and Energy Magazine, vol. 13, pp. 62-70, 2015.

[36] M. Coddington, B. Mather, B. Kroposki, K. Lynn, A. Razon, A. Ellis, et al., "Updating

Interconnection Screens for PV System Integration," National Renewable Energy

Laboratory NREL/TP-5500-54063, 2012.

[37] M. E. Baran, H. Hooshyar, S. Zhan, and A. Huang, "Accommodating High PV Penetration

on Distribution Feeders," IEEE Transactions on Smart Grid, vol. 3, pp. 1039-1046, 2012.

[38] H. Hooshyar, M. E. Baran, and L. Vanfretti, "Coordination assessment of overcurrent

relays in distribution feeders with high penetration of PV systems," in IEEE Grenoble

PowerTech, 2013.

[39] H. Ravindra, M. O. Faruque, P. McLaren, K. Schoder, M. Steurer, and R. Meeker, "Impact

of PV on Distribution Protection System," presented at the North American Power

Symposium, 2012.

[40] H. Hooshyar and M. E. Baran, "Fault Analysis on Distribution Feeders with High

Penetration of PV Systems," IEEE Transactions on Power Systems, vol. 28, pp. 2890-2896,

August, 2013 2013.

[41] J. Keller, B. Kroposki, R. Bravo, and S. Robles, "Fault Current Contribution from Single-

Phase PV Inverters," presented at the 37th IEEE Photovoltaic Specialists Conference

(PVSC), Seattle, WA, 2011.

[42] J. Seuss, M. J. Reno, R. J. Broderick, and S. Grijalva, "Determining the Impact of Steady-

State PV Fault Current Injections on Distribution Protection," Sandia National

Laboratories SAND2016, 2016.

[43] J. Seuss, M. J. Reno, R. J. Broderick, and S. Grijalva, "Maximum PV Size Limited by the

Impact to Distribution Protection," in IEEE Photovoltaic Specialists Conference, 2015.

[44] T. Gonen, Electric Power Distribution System Engineering: CRC Press, 2008.

[45] M. J. Reno, K. Coogan, R. J. Broderick, and S. Grijalva, "Reduction of Distribution Feeders

for Simplified PV Impact Studies," in IEEE Photovoltaic Specialists Conference, 2013.

[46] M. Lave, J. Kleissl, and J. S. Stein, "A Wavelet-Based Variability Model (WVM) for Solar

PV Power Plants," IEEE Transactions on Sustainable Energy, 2013.

[47] R. van Haaren, M. Morjaria, and V. Fthenakis, "Empirical assessment of short-term

variability from utility-scale solar PV plants," Progress in Photovoltaics: Research and

Appl., 2012.

[48] C. Lenox, "PV Variability Workshop," SunPower, 2009.

[49] C. Lenox and L. Nelson, "Observed Output Variability In Large-Scale PV Systems," in

SunPower Corporation, 2010.

[50] Information Technology Industry Council (ITI), "ITI (CBEMA) Curve Application Note,"

ed, 2000.

[51] M. J. Reno, K. Coogan, S. Grijalva, R. J. Broderick, and J. E. Quiroz, "PV Interconnection

Risk Analysis through Distribution System Impact Signatures and Feeder Zones," in IEEE

PES General Meeting, 2014.

Page 99: Novel Methods to Determine Feeder Locational PV Hosting ...hosting capacity for PV [11, 16, 17]. Work has also been done to show how hosting capacity is a factor of the distribution

99

[52] K. P. Schneider, Y. Chen, D. P. Chassin, R. Pratt, D. Engel, and S. Thompson, "Modern

Grid Initiative Distribution Taxonomy Final Report," Pacific Northwest National

Laboratory 2008.

[53] J. E. Quiroz and C. P. Cameron, "Technical Analysis of Prospective Photovoltaic Systems

in Utah," Sandia National Laboratories SAND2012-1366, 2012.

[54] EPRI. (2015). EPRI Test Circuits. Available:

http://ewh.ieee.org/soc/pes/dsacom/testfeeders/

[55] J. Peppanen, J. Grimaldo, M. J. Reno, S. Grijalva, and R. Harley, "Increasing Distribution

System Model Accuracy with Extensive Deployment of Smart Meters," IEEE PES General

Meeting, 2014.

[56] "Alternatives to the 15% Rule: Modeling and Hosting Capacity Analysis of 16 Feeders,"

EPRI, Technical Report 3002005812, 2015.

[57] J. Smith, M. Rylander, L. Rogers, and R. Dugan, "It's All in the Plans: Maximizing the

Benefits and Minimizing the Impacts of DERs in an Integrated Grid," IEEE Power and

Energy Magazine, vol. 13, pp. 20-29, 2015.

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DISTRIBUTION

1 MS1033 Robert J. Broderick 6112

1 MS1033 Abraham Ellis 6112

1 MS1140 Matthew J. Reno 6113

1 MS1140 Ross Guttromson 6113

1 MS0899 Technical Library 9536 (electronic copy)

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101