effect of statcom location on distance protection relay

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University of Calgary PRISM: University of Calgary's Digital Repository Graduate Studies The Vault: Electronic Theses and Dissertations 2015-06-29 Effect of STATCOM Location on Distance Protection Relay Operation Sun, Peng Sun, P. (2015). Effect of STATCOM Location on Distance Protection Relay Operation (Unpublished master's thesis). University of Calgary, Calgary, AB. doi:10.11575/PRISM/25810 http://hdl.handle.net/11023/2324 master thesis University of Calgary graduate students retain copyright ownership and moral rights for their thesis. You may use this material in any way that is permitted by the Copyright Act or through licensing that has been assigned to the document. For uses that are not allowable under copyright legislation or licensing, you are required to seek permission. Downloaded from PRISM: https://prism.ucalgary.ca

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Page 1: Effect of STATCOM Location on Distance Protection Relay

University of Calgary

PRISM: University of Calgary's Digital Repository

Graduate Studies The Vault: Electronic Theses and Dissertations

2015-06-29

Effect of STATCOM Location on Distance Protection

Relay Operation

Sun, Peng

Sun, P. (2015). Effect of STATCOM Location on Distance Protection Relay Operation (Unpublished

master's thesis). University of Calgary, Calgary, AB. doi:10.11575/PRISM/25810

http://hdl.handle.net/11023/2324

master thesis

University of Calgary graduate students retain copyright ownership and moral rights for their

thesis. You may use this material in any way that is permitted by the Copyright Act or through

licensing that has been assigned to the document. For uses that are not allowable under

copyright legislation or licensing, you are required to seek permission.

Downloaded from PRISM: https://prism.ucalgary.ca

Page 2: Effect of STATCOM Location on Distance Protection Relay

UNIVERSITY OF CALGARY

Effect of STATCOM Location on Distance Protection Relay Operation

by

Peng (Philip) Sun

A THESIS

SUBMITTED TO THE FACULTY OF GRADUATE STUDIES

IN PARTIAL FULFILMENT OF THE REQUIREMENTS FOR THE

DEGREE OF MASTER OF SCIENCE

GRADUATE PROGRAM IN ELECTRICAL ENGINEERING

CALGARY, ALBERTA

JUNE, 2015

© Peng (Philip) Sun 2015

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Abstract

Flexible AC Transmission System (FACTS) devices are playing an increasingly important role

in electrical power systems to satisfy the function of achieving better power transferability and

enhancing power system controllability. The presence of FACTS devices in power systems has

brought up some challenges to the protection schemes in the grid. Distance protection, as a major

transmission line protective scheme, is facing such a challenge to meet the basic requirements for

its accuracy, selectivity, reliability and security. This dissertation reviews FACTS concepts, and

studies the shunt connected STATCOM and its modeling. Based on the dynamic behaviour of a

shunt connected STATCOM in a two-machine system, where a distance protection scheme is

applied to protect the transmission line connecting the two machines, performance of the two

zone distance protection scheme has been evaluated in EMTDC/PSCAD simulation environment

for various contingent conditions. This includes different STATCOM installation locations,

various STATCOM voltage settings, various fault locations & types. To overcome the mis-

operation of the distance relay and make the distance scheme operational and reliable when the

transmission line is shunt compensated with STATCOM, studies on some communication-aided

protection schemes, including PUTT, POTT and DCB, are conducted. These pilot protection

schemes have proven to be effective for fast clearance of the faults on the transmission line and

meet the requirements for protections, regardless of STATCOM installation locations.

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Acknowledgements

The dissertation is with great support and patience from my family in the past 4 years during

which we suffered the deep sorrow of losing an important family member and overcame the

unpredictable challenges of life together. The spiritual motivation from family is the power

encouraging me to move towards the completion of this project.

I wish to solemnly express my sincere gratitude and deep appreciation to my supervisors Dr. Ed

P. Nowicki and Dr. O. P. Malik at this time for their constant guidance, encouragement and

support throughout the whole program. A new window is open for me in Electrical Engineering

with their direction, from which I greatly broadened my horizon in the application of power

electronics and hence my professional career has benefited tremendously from the exciting

learning procedure. My foremost thanks go to them and I also wish to extend my appreciation to

other professors and support staff in the Department of Electrical and Computer Engineering in

University of Calgary for their help during my study here.

I also wish to thank some of my friends for their continuous support and constructive suggestions

that inspired and motivated me to complete the part time study, without whom I would be unable

to finish my project successfully.

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Table of Contents

Abstract ............................................................................................................................... ii Acknowledgements ............................................................................................................ iii

Table of Contents ............................................................................................................... iv List of Tables ..................................................................................................................... vi List of Figures and Illustrations ........................................................................................ vii List of Symbols, Abbreviations and Nomenclature .............................................................x

CHAPTER ONE: INTRODUCTION ..................................................................................1

1.1 Protection of transmission lines .................................................................................2 1.1.1 Non-Pilot Schemes ............................................................................................3

Distance relay ......................................................................................................3

Step Distance Schemes .........................................................................................5 1.1.2 Pilot Schemes ....................................................................................................6

1.2 Introduction to FACTS ..............................................................................................6

1.3 Type of converters ...................................................................................................11 1.4 Summary ..................................................................................................................13

1.5 Thesis Outline ..........................................................................................................13

CHAPTER TWO: STATCOM PRINCIPLE AND LITERATURE REVIEW .................16 2.1 Introduction to FACTS ............................................................................................16

2.2 STATCOM ..............................................................................................................17 2.2.1 Introduction to STATCOM .............................................................................17

2.2.2 Basic Principle of a STATCOM ......................................................................19 2.2.3 STATCOM Control .........................................................................................23

Introduction to STATCOM Topologies ..............................................................23 Basic Control Approaches of a STATCOM .......................................................25

Indirect Control .................................................................................................26 Direct Control ....................................................................................................28

2.2.4 Steady State and Transient Characteristics of a STATCOM ..........................29

V-I characteristic ...............................................................................................29 Transient Stability ..............................................................................................31

2.2.5 Harmonic profile of STATCOM .....................................................................33 2.2.6 Detailed Mathematical Model of STATCOM .................................................36

Static Module of STATCOM ..............................................................................37 Dynamic Module of STATCOM .........................................................................38

2.2.7 STATCOM applications ..................................................................................41

CHAPTER THREE: MODELING OF DISTANCE PROTECTION IMPEDANCE .......46 3.1 STATCOM installed at mid-point of the transmission line .....................................46

3.1.1 Single phase fault after the STATCOM ..........................................................48 3.1.2 Single phase fault before the STATCOM .......................................................51

3.2 Phase to phase fault ..................................................................................................54 3.2.1 Phase to phase fault after the STATCOM .......................................................54 3.2.2 Phase to phase fault before the STATCOM ....................................................56

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CHAPTER FOUR: SIMULATION ...................................................................................59

4.1 System Simulation ...................................................................................................59 4.1.1 Transmission System Module .........................................................................59

System configuration ..........................................................................................59

Transmission line ...............................................................................................60 Generator and load ............................................................................................61

4.1.2 STATCOM modelling and its Control Circuit ................................................63 STATCOM model ...............................................................................................63 Voltage Control Loop ........................................................................................65

PWM Control Module ........................................................................................65 4.1.3 Distance Protection Module ............................................................................68

Voltage & Current Signal Processing ...............................................................70 Distance Mho Characteristic .............................................................................71

Distance Relay Output .......................................................................................73 4.2 Fault Simulations .....................................................................................................74

4.2.1 Midpoint connected STATCOM simulation ...................................................75 Fault resistance is 0 Ω .......................................................................................76

Fault resistance is 50 Ω .....................................................................................78 4.2.2 Near-end bus connected STATCOM simulation ............................................82 4.2.3 Far-end bus connected STATCOM simulation ...............................................84

4.2.4 Effect of Voltage Setting of STATCOM .........................................................87 4.3 Concluding Remarks ................................................................................................90

CHAPTER FIVE: COMMUNICATION-AIDED DISTANCE PROTECTION SCHEMES

...................................................................................................................................91 5.1 Directional Comparison Scheme ...........................................................................91

5.1.1 Permissive Transfer Trip .................................................................................92

5.1.2 Directional Comparison Blocking (DCB) .....................................................102 5.2 Line Current Differential .....................................................................................108 5.3 Concluding Remarks ............................................................................................109

CHAPTER SIX: CONCLUSIONS ..................................................................................110 6.1 Thesis Summary ....................................................................................................110

6.2 Discussion ..............................................................................................................111 6.3 Future work ............................................................................................................112

REFERENCES ................................................................................................................114

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List of Tables

Table 1.1 Control Attributes of Various Controllers .................................................................... 10

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List of Figures and Illustrations

Figure 1.1 Mho Characteristic ........................................................................................................ 4

Figure 1.2 Normal Selectivity Adjustment of Step Distance Scheme ............................................ 5

Figure 1.3 Valve for a voltage-sourced converter ........................................................................ 12

Figure 1.4 Voltage-Sourced Converter ......................................................................................... 12

Figure 2.1 VSC-based STATCOM interface diagram in a power system .................................... 19

Figure 2.2 STATCOM and associated phasor diagrams (capacitive) for Rg=0 and Rg≠0 ........... 20

Figure 2.3 Topology of a three-phase, two-level, six-pulse voltage-sourced converter ............... 23

Figure 2.4 Topology of a three-phase, three-level, twelve-pulse voltage-sourced converter ....... 24

Figure 2.5 Block Diagram of the basic control structure of a STATCOM ................................... 25

Figure 2.6 Indirect control diagram of a STATCOM ................................................................... 27

Figure 2.7 Direct control diagram of a STATCOM ..................................................................... 28

Figure 2.8 V-I characteristic of a STATCOM .............................................................................. 30

Figure 2.9 Two-machine, two-line power system with a STATCOM ......................................... 31

Figure 2.10 Illustration of equal area criterion for transient Stability .......................................... 33

Figure 2.11Typical Harmonics in 6-pulse STATCOM voltage output ........................................ 35

Figure 2.12 STATCOM Equivalent Circuit.................................................................................. 36

Figure 3.1 Transmission Line with a STATCOM at mid-point.................................................... 47

Figure 3.2 Circuit with a fault after the STATCOM .................................................................... 48

Figure 3.3 Sequence Circuit with a single phase to ground fault after mid-point STATCOM .... 49

Figure 3.4 Single phase fault before mid-point STATCOM ....................................................... 51

Figure 3.5 Sequence Circuit with a single phase to ground fault before mid-point STATCOM . 53

Figure 3.6 Sequence circuit with a phase to phase fault after mid-point STATCOM .................. 54

Figure 3.7 Sequence circuit with a phase to phase fault before mid-point STATCOM ............... 56

Figure 4.1 Single line Diagram of Simulated Power System ....................................................... 59

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Figure 4.2 Transmission Line Module .......................................................................................... 61

Figure 4.3 VSC-based STATCOM module .................................................................................. 63

Figure 4.4 Voltage Control Loop of STATCOM Control Module ............................................... 65

Figure 4.5 PMW Control Module part 1 ....................................................................................... 66

Figure 4.6 PMW Control Module part 2 ....................................................................................... 67

Figure 4.7 Distance Relay Module ............................................................................................... 69

Figure 4.8 Voltage Signal Processing ........................................................................................... 70

Figure 4.9 Line-to-Ground Impedance and Mho Component ...................................................... 71

Figure 4.10 Line-to-Line Impedance and Mho Component ......................................................... 72

Figure 4.11 Distance Relay Output ............................................................................................... 73

Figure 4.12 Measured Impedance for Single phase ground (A-G) fault ...................................... 76

Figure 4.13 Measured Impedance for Phase-Phase-ground (BC-G) fault .................................... 77

Figure 4.14 Measured Impedance for Three Phase (A-B-C) fault................................................ 77

Figure 4.15 Measured Impedance for Single Phase Ground (A-G) fault ..................................... 78

Figure 4.16 Measured Impedance for Phase-Phase-ground (BC-G) fault .................................... 79

Figure 4.17 Measured Impedance for Three Phase (A-B-C) fault................................................ 80

Figure 4.18 Reactive Power from STATCOM for Single Phase Ground (A-G) fault ................. 81

Figure 4.19 Reactive Power from STATCOM for Phase-Phase-Ground (BC-G) fault ............... 81

Figure 4.20 Reactive Power from STATCOM for Three Phase (A-B-C) fault ............................ 81

Figure 4.21 Measured Impedance for Single phase ground (A-G) fault ...................................... 82

Figure 4.22 Measured Impedance for Phase-Phase-ground (BC-G) fault .................................... 83

Figure 4.23 Measured Impedance for Three Phase (A-B-C) fault................................................ 83

Figure 4.24 Measured Impedance for Single phase ground (A-G) fault ...................................... 84

Figure 4.25 Measured Impedance for Phase-Phase-ground (BC-G) fault .................................... 85

Figure 4.26 Measured Impedance for Three Phase (A-B-C) fault................................................ 86

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Figure 4.27 Measured Impedance for A-G fault Vref = 1.0 p.u, 0.9 p.u and 1.1 p.u ................... 87

Figure 4.28 Measured Impedance for BC-G fault Vref = 1.0 p.u, 0.9 p.u and 1.1 p.u ................. 87

Figure 4.29 Phase to Phase Seen impedance for ABC-G fault Vref = 1.0 p.u, 0.9 p.u and 1.1

p.u .......................................................................................................................................... 88

Figure 4.30 Measured Impedance for ABC fault Vref = 1.0 p.u, 0.9 p.u and 1.1 p.u .................. 88

Figure 4.31 Reactive Power Vref = 1.1 p.u .................................................................................. 89

Figure 4.32 Reactive Power Vref = 0.9 p.u ................................................................................. 89

Figure 5.1 Permissive Overreach Protection Scheme and Logic diagram.................................... 93

Figure 5.2 Impedance measured at the sending end for an A-G fault without STATCOM ......... 94

Figure 5.3 Measured impedance at the sending end for an A-G fault with STATCOM .............. 95

Figure 5.4 Impedance measured by the receiving end relay for an A-G fault with STATCOM.. 95

Figure 5.5 Timing for POTT scheme ............................................................................................ 96

Figure 5.6 Permissive Under-reach Protection Scheme and Logic diagram ................................ 98

Figure 5.7 Measured impedance at the sending end for an ABC-G fault without STATCOM ... 99

Figure 5.8 Measured impedance at the sending end for an ABC-G fault with STATCOM ....... 100

Figure 5.9 Impedance measured by the receiving end relay for an ABC-G fault with

STATCOM ......................................................................................................................... 100

Figure 5.10 Timing for PUTT scheme ........................................................................................ 101

Figure 5.11 Directional Comparison Blocking Protection Scheme and Logic diagram............. 103

Figure 5.12 Measured impedance for an ABC-G fault with STATCOM................................... 105

Figure 5.13 Trip timing for DCB scheme ................................................................................... 106

Figure 5.14 Block timing for DCB scheme ................................................................................ 107

Figure 5.15 Line Differential Current Protection Scheme and Logic diagram ........................... 108

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x

List of Symbols, Abbreviations and Nomenclature

Symbol Definition

FACTS Flexible AC Transmission System

STATCOM

SC

TCPST

UPFC

Static Synchronous Compensator

Series Capacitor

Thyristor Controlled Phase Shifting Transformer

Unified Power Flow Controller

P Real Power transferred

Reactive Power transferred

Sending end voltage

Receiving end voltage

θ Power system angle

Transmission line reactance

STATCOM voltage output

AC System voltage

Current between AC system and STATCOM

Leakage impedance of coupling transformer

STATCOM voltage output in control simulation

Capacitor voltage output in control simulation

δ Phase angle between STATCOM and system

Sending generator terminal voltage

Receiving generator terminal voltage

Bus voltage at sending end

Bus voltage at receiving end

Impedance from generator to STATCOM

Impedance of transmission line

ω System angle of power system

Per unit distance from fault location to relay

location

Fundamental frequency of STATCOM output

Park’ transformation operator

Positive, negative and zero sequence impedance

Positive, negative and zero sequence voltage

Positive, negative and zero sequence current

Ground fault current

TPR Teleprotection

PUTT Permissive Underreaching Transfer Trip

POTT Permissive Overreaching Transfer Trip

SIR Source to Line impedance Ratio

CSC Current- Sourced Converter

VSC Voltage-Sourced Converter

GTO Gate Turn-Off Thyristor

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IGBT Insulated-Gate Bipolar Transistor

DCB Directional Comparison Blocking

Gating firing pulse 1- 6

Overhead ground wire 1,2

Transmission line phase conductor

Pulse Width Modulation

PLL Phase Lock Loop

Fast Fourier Transform

PLC Power Line Carrier

PSCAD

SCADA

Power System CAD

Supervisory Control And Data Acquisition

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1

Chapter One: Introduction

Transmission lines, as a major component of an electrical power system, play the most important

role in the transmission of power from generation to load and to interconnect regional power

systems into a grid network. Hence, protection of transmission lines is critical in system

contingencies to isolate faults and to ensure the safety and integrity of a power grid.

A large variety of protection schemes are applied on transmission lines based on different

protection theories and communication technologies, among which the most commonly used is

the distance scheme. Despite the economic reasons, distance protection is widely employed

because the basic requirements for a protection scheme, which are selectivity, reliability and

sensitivity with satisfactory fault clearing time, can be easily met with proper scheme setup and

coordination study. By measuring the ratio of voltage to current at relay location, distance

protection can detect different types of faults and initiate related tripping schemes to isolate the

fault from the system with a desired time delay [1]. Distance protection is a reliable and selective

form of protection for transmission lines especially where line terminals are relatively far apart.

With the development and application of power electronics technology and maturity of

manufacturing, more and more power semi-conductor based devices, called FACTS [2], with

ratings from tens to hundreds of giga watts, have been utilized in the power systems to satisfy the

function of achieving better power transferability and enhancing power system controllability.

FACTS actually is the application of power electronic equipment, with one or multiple functions,

to regulate and control the electrical parameters that govern the operation of transmission

systems including voltage, current, impedance, phase angle and damping of oscillations [2].

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FACTS controllers can cause rapid changes of the important system parameters mentioned

above. Their presence, therefore, can significantly affect the operation of traditional distance

schemes when either series or shunt connected FACTS devices introduce new dynamic controls

into the power systems. They would inevitably affect the characteristics of a protective relay in a

transmission line to some extent. This work presents STATCOM, a shunt connected FACTS

device, and its modeling technology. Based on the dynamic behaviour of a STATCOM in a two-

machine transmission system, performance of a distance relay protecting the transmission line in

the system during various contingency conditions has been evaluated in EMTDC/PSCAD

(commercial software) simulation environment. Further studies on the impedance seen by a

distance relay are given. Improved performance of different distance schemes with

communication aid in the same system is also shown in the analysis and system simulation.

Recommendations and conclusions on the distance relay performance are made according to the

simulation results and some future work is also discussed.

1.1 Protection of transmission lines

A brief description of major schemes that are commonly used for the protection of transmission

lines is presented here. As a widely accepted standard for a protective scheme, the following four

basic requirements have to be met in order to make the scheme fully functional [3]. All schemes

introduced work on the following criteria even though in some cases the standard cannot be

reached completely at the same time due to some limits in applications:

Reliability (Dependability, Security)

Selectivity/Coordination

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Sensitivity

Fault clearing time

Based on the availability of communication channels between substations, relay schemes on

transmission lines can be listed into two categories: Non-pilot and pilot schemes.

1.1.1 Non-Pilot Schemes

A variety of protection schemes belong to this category to protect transmission lines [4], such as

over-current relay, directional over-current relay and distance relay. The following is a brief

introduction to distance relay and the protection schemes based on it.

Distance relay

Distance relay, also called impedance relay [5], operates on the principle that measures the ratio

of voltage to current phasors at a relay location to determine if a fault is within the relay’s

protection boundary. Numerous characteristics in distance relay family are built up according to

the positive and zero sequence impedance of the protected transmission line. According to

different shapes of the protective operating boundaries [3], the major characteristics of distance

relay can be recognized as Impedance, Mho, Reactance, Quadrilateral and Lenticular. More

complex shapes can be obtained by using one or more of the above relay types in a logical

combination to provide a composite tripping zone boundary [4]. Based on transmission line

impedance, setting coordination with adjacent lines and other regulations, distance protection

with specific characteristic can be selected to apply on the protected transmission line.

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Figure 1.1 Mho Characteristic

It is common to use an R–X diagram to both analyze and visualize the response of a distance

relay. Impedance characteristic is plotted as a circle with its center at the origin of the

coordinates and radius equal to its setting in ohms [6]. Relay operation occurs for all impedance

values less than the setting, that is, for all the points within the circle.

In this work, the Mho characteristic is chosen to build up the simulation models and is used to

conduct analysis for a distance relay’s behavior under various system conditions with a

STATCOM installed on the transmission line. As shown in Figure 1.1, the characteristic of a

Mho impedance relay, when plotted on R-X diagram, is a circle whose circumference passes

through the origin. It will operate only on faults in forward direction (quadrant one) along the

transmission line. The Mho Characteristic of a distance relay is inherently directional to protect

the faults in one direction on the protected line [7]. The relay operates when the measured

impedance falls within the circle.

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Step Distance Schemes

As a non-pilot application, distance relaying is called step distance protection when several zones

are employed to protect a transmission line [3]. A conventional step distance scheme installed at

terminal 1 protecting transmission lines is shown in Figure 1.2. The first zone, designated as Z1,

is set to trip without any intentional time delay and its protection boundary is set as

approximately 80%-90% of transmission line impedance in order to avoid overreach operation

for faults. The second zone, Z2, is set to protect the remaining 10%-20% of the transmission line

plus an adequate margin, and it has to be time delayed (TA2) to coordinate with the relays

installed at remote terminal 2. The third zone with time delay (TA3), Z3, is applied as backup for

zone 2 and can be applied as backup for relay failure or breaker failure at remote terminal 2.

With proper coordination, Z1 & Z2 at terminal 1, Z1 & Z2 at remote terminal 2, and Z3 at

terminal 1 relay will detect all faults on the transmission lines A and B plus some part of the

lines fed from the remote terminal 3 (Line C).

.

Figure 1.2 Normal Selectivity Adjustment of Step Distance Scheme

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1.1.2 Pilot Schemes

Pilot schemes utilize communication paths to send signals from the relaying system at one end to

that at the other end [1], which allows high-speed tripping to occur for all the faults occurring on

100% of the protected transmission line. Current comparison schemes are commonly applied on

a shorter transmission line when source to line impedance ratio (SIR) > 4 [3], in which a true

differential measurement is made since the magnitudes and phase angles of currents between two

relay locations are compared to operate the relay for internal faults. Because of its principle of

responding only to current, it is more sensitive than the distance type schemes that always need

voltage input.

Some other pilot schemes, such as directional comparison schemes, AC pilot-wire relays, phase

comparison schemes and directional comparison schemes, etc, are seldom used in applications

[3]. However, with the assistance of pilot signals and the operation of distance relay, some new

schemes, such as Direct Underreaching Transfer Trip (DUTT), Permissive Underreaching

Transfer Trip (PUTT), Permissive Overreaching Transfer Trip (POTT) and Zone Acceleration,

can be built up to enhance reliability and acceptable fault clearing time significantly [1].

1.2 Introduction to FACTS

IEEE PES Task Force of the FACTS Working Group defined terms and definitions for FACTS

and FACTS Controllers in 1997 as follows [8]:

Flexible AC Transmission System (FACTS) Alternating current transmission systems

incorporating power electronic-based and other static controllers to enhance controllability and

increase power transfer capability.

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FACTS Controller A power electronic-based system and other static equipment that

provides control of one or more AC transmission system parameters.

From the above definitions it is easy to understand that the power electronic-based controllers are

the key devices in the application. Also, it includes some other static controllers that are not

based on power electronics, such as MSC/MSR (Multiphase Switched Capacitor/Reactor).

In general, FACTS Controllers can be divided into four categories according to the way they are

connected to the power system [2]:

• Series Controllers

• Shunt Controllers

• Combined series-series Controllers

• Combined series-shunt Controllers.

Characteristics of these four FACTS Controllers in applications are listed below:

Series Controllers:

The series controllers could be variable impedance, such as capacitor, reactor, etc... They also

could be power electronics-based variable source of main frequency, sub-synchronous and

harmonic frequencies (or a combination) to serve the desired engineering need. In principle, all

series controllers should inject voltage in series with the connected transmission line [2]. For

easy understanding, a Series Controller works as a variable impedance multiplied by the current

flowing through it, so it can represent an injected series voltage in the line.

Shunt Controllers:

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Same as series controllers, the shunt controllers may be variable impedance, variable source, or a

combination of these [2]. All shunt controllers inject current into the system at the point of

connection and work as a variable shunt impedance source connected to the line voltage. As long

as the injected current is in phase quadrature with the system line voltage, the shunt controller

only supplies or consumes variable reactive power. Any other phase relationships will involve

real power exchange.

Combined series-series Controllers:

These could be either a combination of separate series controllers or a unified controller [2]. A

combination of separate series controllers is controlled in a multiline transmission system in a

coordinated manner. While as a part of a unified controller, series controllers can provide

independent reactive power compensation for each line, and transfer real power among the lines

via the power link.

Combined series-shunt Controllers:

This type of controller could be a combination of separate shunt and series controllers, which are

controlled in a coordinated manner, or a Unified Power Flow Controller with series and shunt

elements [2]. Combined shunt and series controllers will inject current into the system with the

shunt part of the controller, and voltage in series in the line with the series part of the controller.

When the shunt and series Controllers are unified, there can be a real power exchange between

the series and shunt Controllers via the power link.

The major functions and attributes of the four mentioned types of FACTS controllers are shown

separately in Table 1.1 [9], based on the connections and structures of the controllers. The

control of a series connected controller is achieved by adjusting the injected voltage [2]. As long

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as the voltage is in phase quadrature with the line current, the series controller only has the

control on reactive power. Otherwise, both real and reactive powers have to be affected by the

adjustment of the controller. Similar to series connected controller, the control of a shunt

connected controller is achieved by adjusting the injected current. The real power and reactive

power also can be controlled in the case that the injected current is not in phase quadrature with

the system voltage. Combined series-shunt controllers include independent and coordinated

shunt and series controllers. Hence, injection of voltage and current to the compensated system

can be established. More flexible control on the system parameters and functional goals for

damping oscillations, transient and dynamic stability, voltage stability, fault current limiting can

be accomplished [2].

As one of the most important shunt connected FACTS controllers, STATCOM is the focus of

this thesis. Its principles and applications will be discussed in Chapter 2.

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Table 1.1 Control Attributes of Various Controllers

Facts Controller Control Attributes

Shunt Connected Controller

Static Synchronous Compensator (STATCOM without storage)

Voltage control, VAR compensation, damping oscillations, voltage stability

Static Synchronous Compensator (STATCOM with storage, large capacitor)

Voltage control, VAR compensation, damping oscillations, transient and dynamic stability, voltage stability

Static VAR Compensator (SVC,TCR, TCS, TRS)

Voltage control, VAR compensation, damping oscillations, transient and dynamic stability, voltage stability

Thyristor-Controlled Braking Resistor (TCBR)

Damping oscillations, transient and dynamic stability

Static Synchronous Series Compensator (SSSC without storage)

Current control, damping oscillations, transient and dynamic stability, voltage stability, fault current limiting

Series Connected Controller

Thyristor-Controlled Series Capacitor (TCSC, TSSC)

Current control, damping oscillations, transient and dynamic stability, voltage stability, fault current limiting

Thyristor-Controlled Series Reactor (TCSR, TSSR)

Current control, damping oscillations, transient and dynamic stability, voltage stability, fault current limiting

Combined Shunt Series

Thyristor-Controlled Phase-Shifting Transformer (TCPST)

Active power control, damping oscillations, transient and dynamic stability, voltage stability

Unified Power Flow Controller (UPFC)

Active and reactive power control, voltage control, VAR compensation, damping oscillations, transient and dynamic stability, voltage stability, fault current limiting

Thyristor-Controlled Voltage Limiter (TCVL)

Transient and dynamic voltage limit

Thyristor-Controlled Voltage Regulator (TCVR)

Reactive power control, voltage control, damping oscillations, transient and dynamic stability, voltage stability

Interline Power Flow Controller (IPFC)

Reactive power control, voltage control, damping oscillations, transient and dynamic stability, voltage stability

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1.3 Type of converters

In general, FACTS Controllers are based on an assembly of AC/DC or DC/AC converters or

high power AC switches [2]. A converter is an assembly of valves in which each valve is an

assembly of solid state power devices comprising of turn-on/turn-off gate drive circuits with

snubber circuits for damping purpose. Similarly, each AC switch is an assembly of back-to-back

connected solid state power devices along with their snubber circuits and turn-on/turn-off gate

drive circuits.

Compared to the self-commutating converter, the line-commutating converter must have an AC

source connected and will consume reactive power and suffer from occasional commutation

failures in the inverter mode of operation. Hence converters applicable to FACTS Controllers

often employ the self-commutating type [2]. There are two basic categories of self-commutating

converters:

Current-sourced converter

In Current-sourced converter (CSC), direct current always has one polarity, and the power

reversal takes place through reversal of DC voltage polarity.

Voltage-sourced converter

In Voltage-sourced converter (VSC), the direct voltage always has one polarity, and the power

reversal takes place through reversal of DC current polarity.

For the reasons of economy and performance, voltage-source converter is often preferred for

FACTS applications and it will be presented in the following.

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Figure 1.3 Valve for a voltage-sourced converter

A voltage-sourced converter valve that is made up of an asymmetric turn-off device such as a

GTO, with a parallel diode connected in reverse is shown in Figure 1.3.

Figure 1.4 Voltage-Sourced Converter

The basic function of a voltage-sourced converter is shown in Figure 1.4. In this figure the

converter valve is schematically represented by a box that has a valve and a diode inside it. On

the DC side, the voltage is supported by a capacitor that is large enough to handle a sustained

charge/discharge current that accompanies the switching sequence of the converter valves. The

capacitor is also able to satisfy the current shifts in the phase angle of the switching valve

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without significant changes in the DC voltage. The DC current can flow in either direction

hence it can exchange power with the connected DC system in either direction. On the AC side,

the generated AC voltage from the converter, Ua, is connected to the AC system via an

inductor. To the AC system, the converter output is a voltage source with low internal

impedance. Therefore, an inductive interface between the converter and the AC system is

important to ensure that the DC capacitor will not discharge rapidly into a capacitive AC load,

such as a transmission line, when there is a short circuit. In application, an interface transformer

can be utilized to achieve multi-functions including inductive interface, voltage regulation and

harmonic cancellation.

1.4 Summary

A brief description of the major protection on power transmission lines, distance relay, and other

protection schemes based on it is given above. Further, four basic types of FACTS controllers

are introduced and different attributes of the controllers are briefly discussed. Self-commuting

converters, the basic power electronic unit in FACTS Controllers, are also introduced. The

operation of voltage-sourced converter that is most applicable to FACTS Controllers is discussed

in the last section. The topic of how the traditional protection schemes are affected by the new

emerging FACTS devices is raised.

1.5 Thesis Outline

The thesis is organized as follows:

In Chapter 2, description of shunt connected STATCOM with its operating principles is

introduced first. Then different topologies of STATCOM based on GTOs are discussed along

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with control methods of STATCOM. Both external and internal control approaches are presented

by providing different control logistics. Afterwards, discussion of the stable and transient

characteristic of STATCOM is given. The Equal criterion method is applied to analyze the

improvement of system stability with a STATCOM installed. Harmonics in a 6 pulse voltage

sourced converter are analyzed as well. Mathematical models for static and dynamic behaviour

of a STATCOM are presented, from which the current and voltage of a STATCOM can be

obtained with equations provided. Introduction to some worldwide STATCOM applications is

given in the last section.

In Chapter 3, mathematical model of distance protection impedance is built up so as to have a

clear analysis of the measured impedance of a distance relay when a STATCOM is installed at

mid-point of a transmission line. In the discussion for single phase to ground fault and phase to

phase fault, the method of symmetrical components is utilized to obtain the equations for the

measured impedance of the distance relay under different conditions. Conclusion of typical mis-

operations of distance relays can be made based on the new impedance equations.

Simulation studies for a transmission line with a source at each end and with STATCOM

installed are given in Chapter 4. Various control modules including transmission line module,

VSC-based STATCOM module, voltage control loop module, PWM (Pulse Width Modulation)

control module, distance relay voltage processing module, distance relay Mho module and

Distance relay output module are described. Simulations are run for midpoint connected

STATCOM, near-end bus connected STATCOM and far-end bus connected STATCOM with

different fault conditions. Comparison of the performance with different simulation studies is

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presented along with an analysis of the behaviour of the distance relay. The effect of output

voltage setting of STATCOM is also considered. Results of all simulation studies should be

consistent with the conclusions made in Chapter 3.

Possible solutions to overcome the mis-operation of the distance scheme when a STATCOM is

installed on a transmission line are given in Chapter 5. Some communication-aided schemes,

including Permissive Overreach Transfer Trip, Permissive Underreach Transfer Trip, Directional

Comparison Blocking and Line Differential scheme, are analyzed and tested in the simulation

system. As a conclusion, Permissive Overreach Transfer Trip is found to be the most suitable

scheme to improve the performance of a traditional distance relay when STATCOM is installed

on the transmission line.

Summary of this work is given in Chapter 6. Further discussion of the distance protection with

installed STATCOM is provided. Also, future work is considered and possible research

approaches, such as pilot schemes and adaptive setting, are discussed for better improvement of

distance relay in similar applications.

Results of research on the distance protection of a transmission line with the shunt compensation

device, STATCOM, are reported in this thesis. By conducting mathematical modeling for

distance protection and by building power system simulation model for STATCOM and step

distance scheme, this work provides a solid solution to overcome the mis-operation of a distance

relay protection, i.e. Underreach and Overreach, on a transmission line where STATCOM is

installed.

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Chapter Two: STATCOM Principle and Literature Review

2.1 Introduction to FACTS

From power system equation, real power and reactive power transferred between two power

sources are [10]:

(2.1)

(2.2)

where:

U1 is the RMS voltage at power source 1

U2 is the RMS voltage at power source 2

θ1 is the power angle at power source 1

θ2 is the power angle at power source 2

XL is the transmission line reactance connecting the two sources

From equations 2.1 and 2.2, the power flow can be controlled in either direction in theory by

adjusting the variables of the equations on the right side, such as transmission line reactance XL,

system voltages U1 & U2 and system power angles θ1 & θ2. In practical applications, various

FACTS controllers can be used to achieve the different functions of adjusting specific system

parameters in the system they connect. The shunt connected SVC or STATCOM can provide the

supporting voltage to the compensated system. Other FACTS controllers can change the phase

angles between the two systems, such as TCPST. TCSC can be series connected in a long

transmission line to change the line reactance [2]. All the FACTS controllers mentioned above

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can rapidly change the power flow within one cycle and even increase the power transfer limit at

normal operating conditions. When the power system is in abnormal or faulty conditions,

FACTS controllers can enhance the system stability with the inherent capability to change the

system parameters continuously. Especially in a ring connected power system, by applying SC

and TCPST, it is possible to meet the requirement of satisfying power demand, reducing

transmission line loss and increasing power transmission capacity [2].

The dynamic control of FACTS devices is based on the real time adjustment of power electronic

switching devices (turn on/off is within one millisecond). Therefore, a FACTS controller can

respond more quickly than a traditional circuit breaker when the FACTS controller is functioning

as an interrupting device (the fastest interrupting time of a circuit breaker is 2 cycles [11]).

Moreover, it is impossible for the mechanical apparatus to conduct the same functions that a

FACTS controller has. As common sense, mechanical device such as circuit breakers and

disconnect switches, cannot be operated so continuously at such high operating speeds without

any safety concerns and any power losses due to their inherent attributes. A circuit breaker can

be used to connect a fixed valued capacitor bank into the system; however, continuous

adjustment of compensation current from the capacitor bank is not possible.

2.2 STATCOM

2.2.1 Introduction to STATCOM

The IEEE defines the STATCOM as [8]:

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“Static Synchronous Compensator (STATCOM): A Static synchronous generator

operated as a shunt-connected static VAR compensator whose capacitive or inductive output

current can be controlled independent of the AC system voltage.”

From this definition, a STATCOM is a shunt-connected reactive power compensation device that

is capable of independently generating/absorbing reactive power at its output terminals. In

addition, the compensating reactive power of a STATCOM device can be varied to control the

specific parameters of the electric power system to which it is connected [12].

In summary, a STATCOM can improve power system performance in the following areas:

1) Independent dynamic voltage control of transmission and distribution systems

2) Power-oscillation damping in power transmission systems

3) System transient stability enhancement

4) Voltage flicker control

5) Control of both reactive and active power on the connected line with an energy storage

source.

Furthermore, in practical engineering a STATCOM has some other application benefits due to its

small physical size and modular constructive characteristic compared to other shunt connected

FACTS devices such as SVC. This makes STATCOM have a minimum environmental impact

and more economic efficiency [12]. However, as new FACTS based technology, the

STATCOM is less commonly employed than the SVC in the conservative market. Nevertheless,

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more projects with STATCOM applications have been commissioned worldwide recently. Some

examples of STATCOM projects are introduced later in this chapter.

2.2.2 Basic Principle of a STATCOM

A STATCOM is analogous to an ideal synchronous machine [12] that generates a balanced set of

sinusoidal voltages at the fundamental frequency with controllable amplitude and phase angle,

and also generates either capacitive or inductive VARs for the system.

Figure 2.1 VSC-based STATCOM interface diagram in a power system

A voltage-sourced converter based STATCOM interface diagram in a power system is shown in

Figure 2.1. The shunt connected compensation system, STATCOM, consists of three major

components, a capacitor, converter and a coupling transformer. The capacitor C, functions as a

DC input voltage source. As output voltages of the STATCOM, the three phase voltages

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produced by the converters are connected to the AC system through the coupling transformer.

The leakage impedance Xg of the coupling transformer normally is rated at 0.1 p.u to 0.15 p.u.

[2]. Hence it can also functions as a tie inductance between the STATCOM and the AC system.

Then the reactive power exchange can be controlled in a manner similar to that of the

synchronous machine by adjusting the amplitude of the converter output voltages.

Figure 2.2 STATCOM and associated phasor diagrams (capacitive) for Rg=0 and Rg≠0

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The basic schematic connection of a VSC-based STATCOM for reactive power generation is

shown in Figure 2.2 with phasor diagrams for the cases of Rg= 0 and Rg≠ 0, where Rg represents

the total resistance of the STATCOM. The phasor diagrams are for the cases where the

STATCOM provides capacitive VARs. The Rg = 0 case is the ideal case where power loss in the

circuit is neglected and the STATCOM output voltages are in phase with system voltages.

Referring to Figure 2.2, the equations for the voltages are given below:

Us=Ug+ j IgXg+ IgRg (2.3)

Where

Us is the AC system voltage

Ug is the Converter output voltage

Xg is the reactance summation of the transformer leakage

Rg is the total resistance summation in STATCOM

For the Rg=0 case, the STATCOM current and reactive power exchanged is given by:

Ig=

(2.4)

Q=

(2.5)

For the sake of better understanding, the operation of a STATCOM is sometimes considered

analogous with the operation of a synchronous machine. Both equations 2.4 and 2.5 also apply

for a synchronous machine as well. For a synchronous machine, reactive power flow can be

controlled by adjusting the excitation of the machine, which in turn adjusts the magnitude of the

output voltage |Ug|. When the machine is over-excited, then it is |Ug| > |Us|. This will result in a

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leading current, as shown in Figure 2.2. In this case the machine is sending VARs to the system;

consequently the machine can be seen by the system as a capacitor. Likewise, the machine can

function as a reactor in the under-excitation condition with |Ug| < |Us| (not shown in Figure 2.2).

A STATCOM functions in a similar way. This means if the amplitude of the converter output

voltage |Ug| is greater than system voltage |Us|, |Ug| > |Us|,the converter provides capacitive

reactive power to the system, i.e., the STATCOM behaves like a capacitor. On the other hand,

reactive power is absorbed from the system by controlling the converter output voltage to be

smaller than the system voltage, that is |Ug| < |Us|. In this case, the STATCOM behaves like an

inductor.

The resistance Rg in the circuit represents the total power loss of the STATCOM if the power

loss of the switching devices and coupling transformer are considered. In normal operation,

when the STATCOM is used for reactive power generation, the converter can keep the DC

capacitor charged at a desired voltage by making the output voltage of the converter Ug lag

behind the AC system voltages Us by a small angle, which is usually set between 0.1° and 0.2°

[2]. In this way, a small amount of real power from the AC system will be absorbed by the

converter to compensate for its internal real power loss and to meet the capacitor voltage

requirement. This approach can be applied to increase or decrease the capacitor voltage. Hence

VAR generation or absorption of the STATCOM can be controlled.

STATCOM control approaches are now discussed, to be followed by a discussion of

STATCOM’s applications and effects on distance protection.

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2.2.3 STATCOM Control

Introduction to STATCOM Topologies

The topology of a STATCOM is related to the VAR capacity and to the harmonics profiles of the

STATCOM. Regardless the number of pulses, the voltage-sourced converter, is composed of

several high power switching devices such as GTO or IGBT devices, with a parallel diode

connected in reverse for each device [2].

A six-pulse STATCOM topology is shown in Figure 2.3. If a higher VAR capacity is needed,

then the 12-pulse topology of Figure 2.4 may be used. Other topologies exist, for example a 48-

pulse converter may be constructed using the multi-level converter approaches [2].

Figure 2.3 Topology of a three-phase, two-level, six-pulse voltage-sourced converter

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Figure 2.4 Topology of a three-phase, three-level, twelve-pulse voltage-sourced converter

Referring to Figures 2.3 and 2.4, a switching device usually is comprised of a number of

(normally 3 to 10) series connected GTOs or IGBTs to increase the overall voltage peak

capability. Each of the three legs of the converter is controlled to produce a quasi-square wave

output voltage, or sometimes a pulse width modulated (PWM) output voltage waveform. The leg

waveforms are 120° phase shifted from each other in a three phase system.

A coupling transformer connection to the AC system is used to produce a stepped approximation

of a sine wave current waveform, in which a significant number of low order harmonics are

eliminated [2].

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Basic Control Approaches of a STATCOM

A block diagram of the basic control functions of a STATCOM is shown in Figure 2.5.

Figure 2.5 Block Diagram of the basic control structure of a STATCOM

The control [2] of a STATCOM includes two main parts, external control and internal control.

External control provides the reference signals to determine the functional operation of the

STATCOM. The internal control provides the gating signals for the semiconductor power

switches of the voltage-sourced converter. Some reference signals for external control are

normally from operator instructions or system variables, such as system voltage fluctuation ΔUs

and reactive current IQref. With the support of the STATCOM, the system voltage at the

compensation point can be kept at a preset level. In applications, ΔUs is the voltage difference

between system voltage Us and reference voltage Uref and it has to be kept within a limit for

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internal power loss. The STATCOM is able to increase the adjustment range with a fixed MVAR

capacity and to provide the flexible compensation to the system by following its V-I

characteristic slope, as discussed in section 2.2.4.

By computing the magnitude and phase angle of the STATCOM current Ig from external control

and the pre-set reference voltage, the internal control of the STATCOM can be achieved to

generate a set of coordinated timing waveforms, that can operate the converter power switches to

produce output voltage waveforms Ug, and provide the real/reactive power exchange requested

for the compensation. These timing waveforms have a gating pattern that determines the Turn-

ON and Turn-OFF periods of each individual switch of the converter. The pre-defined phase

relationship between the waveforms is determined by different factors, such as the converter

pulse number, the method used for constructing the output voltage waveforms and the required

angular phase relationship between outputs in each phase (normally 120 degree).

There are two methods to achieve the function of internal control: Indirect Control and Direct

Control.

Indirect Control

A simple block diagram of the indirect control of a STATCOM for pure reactive compensation is

shown in Figure 2.6.

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Figure 2.6 Indirect control diagram of a STATCOM

In this approach, magnitude of the output voltage from the converter is proportional to DC

capacitor voltage [2]. By varying the DC capacitor voltage through the temporary phase shift δ

between the STATCOM output voltage Ug and the AC system voltage Us, reactive current from

the converter can be controlled indirectly. The inputs from external control to the indirect control

are AC system bus voltage Us, converter output current Ig and the reactive current IQref. Voltage

Us operates a Phase Lock Loop circuit that provides the basic synchronizing signal angle θ.

Current IgQ is the reactive component of the converter output current Ig. It is compared with the

reference current IQref. The resulting error obtained provides an angle Δδ after suitable

amplification. The angle Δδ defines the necessary phase shift between converter output voltage

and the AC system voltage. Accordingly, Δδ is added to θ to provide Δδ+θ, which represents the

desired synchronizing signal for the converter and is processed by the Gate Pattern Logic circuit.

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The Gate Pattern Logic circuit generates the gate drive signals for individual power switches.

When the control procedure is complete, there should be only reactive power exchange between

the STATCOM and the system, and the final δ is zero (if Rg=0).

Direct Control

A simple block diagram of the direct control approach of a STATCOM is shown in Figure 2.7.

Figure 2.7 Direct control diagram of a STATCOM

In this approach [2] the reactive output current can be controlled directly by the internal voltage

control mechanism of the converter while the DC voltage of capacitor is kept constant. To make

this possible real power exchange is needed and Pulse Width Modulation (PWM) is applied to

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control the output real power and output voltage. Inputs from the external control circuit to the

indirect control are AC system bus voltage Us, converter output current Ig and the reactive

current IQref, plus the DC voltage reference Udcref. The DC reference voltage determines the real

power that the converter absorbs from the AC system in order to compensate its internal power

loss. As illustrated in Figure 2.7, the reactive component of the STATCOM output current is

compared with reference current IQref from external control. The real part is compared with IPref

from DC voltage regulation loop. After suitable amplification, the real and reactive current

error signals are processed to calculate the magnitude and phase angle Δδ. As in the case of

indirect internal control, Δδ is added to the basic synchronizing signal angle θ that is from the

Phase Locked Loop. As a result, the angle summation (Δδ + θ) together with the desired

converter output voltage, Ug, operates the Gate Pattern Logic circuit to provide the individual

gate drive logic signals to the switches. The internal control scheme operates the converters

with a DC power supply, the internal real current reference, IPref, can be summed to an

externally provided real current reference. This current, IgP, can indicate the desired real power

exchange with the AC system.

2.2.4 Steady State and Transient Characteristics of a STATCOM

V-I characteristic

The V-I characteristic of a STATCOM [13] is shown in Figure 2.8.

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Figure 2.8 V-I characteristic of a STATCOM

On the Y axis in Figure 2.8, Vt is the per unit system voltage. The intersection of a given

characteristic sloped line with Y-axis provides the STATCOM operating voltage, i.e. the Y

intercept is the STATCOM voltage. It can be observed from the figure that the STATCOM can

be operated as either a capacitive or an inductive compensator. It is also depicted in Figure 2.8

that the STATCOM is able to control its output current. As shown in the figure, the STATCOM

can provide full rated steady-state reactive current even in the case that the system voltage is as

low as 0.15 p.u rated. This outstanding capability, compared to other shunt connected FACTS

devices, is particularly useful for the situations in which the STATCOM is needed to support

the system voltage during or after fault conditions.

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Transient Stability

To examine the concept of transient stability, consider Figure 2.9, that shows a two-machine,

two-line power system with a STATCOM installed in the middle of one line.

Figure 2.9 Two-machine, two-line power system with a STATCOM

In Figure 2.9, Ui is the generator terminal voltage; Uj is the voltage at the receiving end. Ub1 and

Ub2 are voltages at the sending bus and the receiving bus while U1 represents the system voltage

at the STATCOM connection point. ZS1 is the impedance between the generator and the

STATCOM; Zr1 is the impedance between STATCOM and the receiving generator. P, Q and I

represent, respectively, real power, reactive power and current at various locations of the system.

The effectiveness of a STATCOM on transmission line stability improvement can be

conveniently explained with the equal area criterion [10] for the system in Figure 2.9.

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In normal practice voltage amplitudes on both ends of the transmission lines are equal. From

equation 2.1, it means:

|Ub1| =|Ub2| = U

Defining:

δ = θ1- θ2 (2.6)

equation 2.1 can be re-written as:

(2.7)

With the STATCOM installed at the mid-point of the transmission line system, the real power

transferred through the line is:

(2.8)

Based on equations 2.7 and 2.8, the curves in Figure 2.10 show the power transmitted in the

system without STATCOM and with STATCOM installed, respectively. The system is

represented by the P versus δ curve ‘a’ and it is operating at angle δ1 to transmit power when a

fatal fault occurs on line 2 [14]. During the fault, the system is characterized by the P versus δ

curve ‘b’. During the fault transient, the transmitted power drops significantly but at the same

time the mechanical input power to the sending generator remains substantially constant

corresponding to P1. As a result, the generator accelerates and the system angle increases from δ1

to δ2, at which time the protective breakers disconnect the fault line 2 and the generator still

accelerates. The additional energy absorbed by the generator during this transient corresponds to

the area ‘A1’. After the fault is cleared, the system without line 2 is represented by P versus δ

curve ‘c’. At angle δ2 on curve ‘c’ the transmitted power exceeds the mechanical input power P1

and the generator starts to decelerate. However the angle keeps increasing up to δ3 due to the

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kinetic energy stored in the machine. δ3 is the maximum angle where the decelerating energy

(area A1) is equal to accelerating energy (area A2). The limit of transient stability is reached at

δ4, beyond which the decelerating energy would not balance the accelerating energy and system

synchronism would be lost. The area ‘Amargin’ between δ3 and δ4 represents the transient stability

margin of the system. From both curves it can be observed that the Amargin in the case with a

STATCOM installed is significantly bigger than that in the case without the STATCOM. The

above illustrates that the system stability has been improved by the STATCOM installation.

Without STATCOM With STATCOM

Figure 2.10 Illustration of equal area criterion for transient Stability

2.2.5 Harmonic profile of STATCOM

As mentioned before, converters in STATCOM always have an inductive impedance interface

with the AC system (usually through a coupling transformer). The function of the inductance in

the circuit is to ensure that the DC capacitor does not discharge rapidly into a capacitive load

such as a transmission line [2]. The inductance also reduces the resultant harmonic current flow.

It is preferable if the STATCOM converter generates lower amplitude harmonics. Following is

an analysis of a simple six-pulse VSC-based STATCOM to illustrate harmonics generation.

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As shown in Figure 2.3, the elementary 6-pulse VSC-based STATCOM consists of six self-

communicating semiconductor high power switches, such as IGBT or GTO, with anti-parallel

diodes. The converter can produce a balanced set of three quasi-square voltage waveforms at a

given frequency. The output voltage of the STATCOM is a staircase type synthesized waveform.

It has substantial harmonics in addition to the fundamental. The following analysis is for a 180°

conduction sequence, a sequence where three switches in different legs conduct for equal time

intervals and conduct at a time [12].

Using Fourier-series equation, the STATCOM output voltage may be expressed as

(2.9)

where coefficients a0, an and bn can be determined by considering one fundamental period of Vab.

If Vab has no dc component, then a0=0. With odd wave symmetry, an=0. The coefficient bn can be

determined as:

(2.10)

Then

=

(2.11)

Therefore

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(2.12)

For a 180° conduction sequence, α = 30°, where α is half of a step interval. The triplen

harmonics are zero in the output line voltage as per equation 2.13, because when n=3k, if

k=1,3,5,…, then cos (nα) =0 and if k=2,4,6… then cos(nα) = . It also can be noted that when

n=5k, cos(nα)= . Hence the STATCOM output voltage only includes the harmonic

components of (6k ) f0 in its output voltage, where f0 is the fundamental output frequency and

k=1,2,3…

The magnitudes of various harmonics in the converted voltage from the 6 pulse STATCOM are

shown in Figure 2.11.

Figure 2.11Typical Harmonics in 6-pulse STATCOM voltage output

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To reduce the harmonic generation in the system, various converter configurations and converter

switching techniques are utilized in practice. This could involve transformer configurations,

different topologies of the STATCOM with multiple-level, multiple-pulse converter controls,

etc. [12].

2.2.6 Detailed Mathematical Model of STATCOM

Since a STATCOM produces a synchronous voltage with the AC system, it can be considered as

a synchronous voltage source. The real power and the reactive power can be solved with the

Park’s Transformation.

The equivalent circuit of a 6-pulse VSC-based STATCOM including a coupling transformer is

shown in Figure 2.12.

Figure 2.12 STATCOM Equivalent Circuit

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The inductance L is primarily from the reactance of the coupling transformer; Rs represents the

total loss from the converters and transformer; Udc is the DC voltage on the capacitor and idc is

the DC current. For analysis, the following assumptions are made:

1) All the switches are ideal.

2) Only three phase sinusoidal voltages with 120 degrees phase displacement are generated

from STATCOM, and the AC system voltage is symmetrical.

3) All harmonics are neglected.

Static Module of STATCOM

As discussed before, a STATCOM can be taken as a synchronous voltage source with

controllable output voltage magnitude and phase angle. Refer to phasor diagram in Figure 2.2 for

the following discussion.

The reactive current Ig of the STATCOM and the corresponding reactive power Q exchanged is

determined by equations 2.4 and 2.5, repeated here for convenience:

Ig=

(2.4)

Q=

(2.5)

It can be shown that:

Ug =

(2.13)

Therefore, the real power and active power from the STATCOM to the AC system are:

P =

(2.14)

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Q =

(2.15)

Recall the Ratio of Modulation M defined as:

M =

(2.6)

Then:

Udc =

=

(2.16)

It can be observed from the above equations that when the real power loss of the STATCOM,

which is represented by Rg in the phasor diagram and equations, is included, the phase angle δ

can be used to determine,

1) The STATCOM output voltage

2) DC voltage of capacitor bank

3) The magnitude and direction of real power and reactive power.

Also, because of the angle δ, the current of STATCOM is not completely orthogonal to the AC

system voltage.

Dynamic Module of STATCOM

For the AC voltage, if ω is the system frequency:

(2.17)

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where Usa, Usb and Usc are the system voltages.

The voltage generated by the STATCOM is a three phase symmetrical voltage that has a phase

angle, δ, with the AC system. Then:

(2.18)

From the circuit of Figure 2.13 and using the principle of conservation of energy:

(2.19)

Using the Park’s Transformation, neglecting zero sequence components:

= Pk

(2.20)

= Pk ·

(2.21)

in which Pk is the a-b-c to d-q-0 transformation operator:

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Pk

(2.22)

Then the mathematical model in the d-q-0 frame of reference is:

(2.23)

Pk

(2.24)

When the system is in asymmetrical operation there are still no zero sequence components

because of the delta connection of the STATCOM converters. The system voltage then can be

decomposed into positive and negative sequence components according to the symmetrical

component method. Taking phase A as the reference, the angle for positive voltage is zero and

that for negative voltage is , then in the time domain:

=

(2.25)

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41

Using Park’s transformation, the following can be obtained:

(2.26)

Then from equations 2.21 and 2.26 the current and voltage of a STATCOM can be resolved in

the case of asymmetrical conditions.

2.2.7 STATCOM applications

Over the past few decades Voltage Sourced Converter based technology has been successfully

applied in a number of FACTS projects. In 1980, Kansai Electric Power Co. Inc. (KEPCO) and

Mitsubishi Motors developed the first STATCOM in the world, a 20 MVAR STATCOM using

forced-commuted thyristor inverters [15]. Recent STATCOM projects in North America have

demonstrated the advantages of the application of the FACTS in power systems. In 1994

Tennessee Valley Authority (TVA), USA, developed a ±100 MVAR static condenser at the

Sullivan substation for voltage control of transmission systems [16]. This installation was the

first demonstration of a STATCOM under the EPRI flexible AC transmission systems program,

and at that time was the largest installation of its type in the world with the availability of high

power GTO thyristors for the development of controllable reactive power in transmission

systems. In 1997, American Electric Power (AEP) installed the world's first Unified Power Flow

Controller (UPFC) at the Inez substation in eastern Kentucky. In phase I of the project two ±160

MVAR voltage-sourced GTO-thyristor-based STATCOM were installed. This was the first

practical demonstration of the UPFC concept with the highest power GTO-based STATCOM

equipment ever installed [17]. On May 1st, 2001, the Vermont Electric Power Company, Inc.

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42

(VELCO) placed a +133/-41 MVAR, 115 kV STATCOM system on line at the Essex Substation

located near Burlington, VT, USA. The STATCOM was installed to provide dynamic voltage

support and reactive compensation on the VELCO transmission system [18] [19]. In October

2002, San Diego Gas & Electric (SDG&E) initiated the installation of a 138 kV STATCOM-

based dynamic reactive compensation system with capacity rating of 100MVAR in a major

transmission system enhancement project involving a key 230/138 kV substation [20]. In a

Northeast Utility project, a 150MVAR rated STATCOM at Glenbrook 115kV substation located

in Hartford Connecticut is split into two halves, each rated at 75MVAR. The STATCOM is to

provide fast acting dynamic reactive compensation for voltage support during contingency

events [21]. In November of 2002, BC Hydro installed a small STATCOM, an 8 MVA D-VAR

device, in their system at the Fort St. James substation to prevent voltage collapse in the 66 kV

long radial system and as a means to defer costly transmission reinforcement. It has shown that

utilizing small size STATCOMs distributed in multiple locations in a power grid is quite

effective in addressing issues such as: voltage support in contingencies; power transfer

limitations on interconnected systems; and integration of wind farms to grids [22].

As illustrated by the above projects, when a STATCOM is shunt connected in the system with

the FACTS using power semiconductor switching technology, several benefits may result:

dynamic voltage support; system stabilization; system transfer capacity increase and enhanced

power quality for both transmission and distribution systems. In normal practice, when a

STATCOM is used for voltage support, improving system stability or improving HVDC link

performance, the device is often installed at the end of a transmission line or on a bus in a power

Page 55: Effect of STATCOM Location on Distance Protection Relay

43

substation [18] [20] [21]. For controlling power flow or increasing the power transfer limit of a

transmission line, the mid-point of the line is the best location for a STATCOM [2].

With the presence of a STATCOM in a system, there are concerns to be considered such as

harmonics caused by switching converters and potential effects on various protective schemes. In

this thesis, the focus is on the distance relay performance when a STATCOM is installed in a

transmission system. The following are some references focusing on this topic.

A general survey of the FACTS devices and a review of the effect of a STATCOM connected at

the midpoint of a transmission line on the performance of distance protection relays are

presented in Ref. [23].

The effect of the STATCOM installation locations on the measured impedance is considered in

Ref. [24]. Three locations were investigated, i.e. at the relaying point, mid-point and the remote

end of the transmission line.

Analytical and simulation results based on steady operation for modelling the STATCOM are

presented and the effect of STATCOM on a distance relay in both normal and faulty conditions

under different load levels were studied in Ref.[25].

The effect of the balanced fault in distribution system with STATCOM was analyzed and

simulated in Ref. [26]. The operating behaviour of the instantaneous over-current protection,

time-delayed instantaneous over-current protection, and definite time over-current were also

studied.

The impact of STATCOM employed in a transmission system on the performance of distance

relay was analyzed in Ref. [27]. The simulation cases include different fault conditions, influence

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44

of location of STATCOM, settings of STATCOM control parameters, and the operation mode of

STATCOM.

The effect of mid-point STATCOM compensation on the performance of an impedance distance

relay under normal load and fault conditions was investigated in Ref. [28]. The adaptive distance

relaying scheme for transmission line protection was proposed and implemented in a DSP

system. In Ref. [29], detail study on a quadrilateral characteristic distance relay in presence of

STATCOM in a transmission line was given; adaptive distance relay protection was proposed

based on the control parameters from SCADA information.

The effect of mid-point FACTS compensation on the distance relay was studied in Ref. [30]. In

this study, the errors introduced in the relay due to the presence of FACTS devices were

analyzed first. Then various situations with different fault conditions and system conditions were

simulated in EMTDC. Finally the results were confirmed by testing a commercial relay through

RTDS. Mitigation methods to improve the performance of distance relays, when transmission

lines are midpoint compensated by shunt-FACTS devices, are proposed in Ref. [31].

Some references in this chapter analyzed the impact of a STATCOM on the performance of

distance relays. All studies have shown that when a STATCOM is installed in fault loops in a

transmission system, the apparent impedance seen by a conventional distance relay is different

from the one in a system without STATCOM due to the VAR injection of STATCOM and the

steady and transient component changes in the fault. In order to give an overall analysis this

work is supposed to consider the following issues in detail with different system variables and

contingencies.

Normal conditions and fault conditions;

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45

STATCOM installation positions, mid-point and end receiving side;

Setting voltage of STATCOM, 1.1pu, 1.0pu, and 0.90pu;

Fault types, signal phase to ground, phase to phase, phase to phase to ground, three-phase

to ground;

Fault locations, from sending terminal to receiving terminal;

Faulty resistances, from small to relatively large;

Comparison with the situations without STATCOM.

Page 58: Effect of STATCOM Location on Distance Protection Relay

46

Chapter Three: Modeling of Distance Protection Impedance

As discussed in Chapter 2, the best location for the installation of a STATCOM to improve

system stability in a two-power source transmission system is the mid-point of the transmission

line. In this chapter, the impedance measured by a distance relay is analysed when a STATCOM

is installed in this way. The scenarios discussed in this chapter are investigated further by

simulations in Chapter four.

Fault impedance calculation by a distance relay relies on the voltage and current of each phase

measured at the relay location. How the transmission line impedance seen by a distance relay on

the incidence of a fault is modified, when a STATCOM is installed at the middle of the line, is

discussed in this chapter. Combination of the single phase to ground fault and phase to phase

fault schemes can cover all types of faults in the forward direction of the transmission line.

3.1 STATCOM installed at mid-point of the transmission line

The system shown in Figure 3.1 is utilized to perform an analysis of the distance relay protecting

a transmission line with a STATCOM installed at the mid-point. In the circuit, two generators,

G1 and G2, are connected with a transmission line. The distance relay is installed next to Bus 1

to protect the transmission line on which a STATCOM is installed at the mid-point (n=0.5 in

Figure 3.1). In this case, only the distance relay close to Bus 1 is analysed. Another distance

relay installed at the Bus 2 end to protect the transmission line should behave in a similar manner

when the same types of faults occur on the transmission line.

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47

Figure 3.1 Transmission Line with a STATCOM at mid-point

In order to analyze the operation of the distance relay when a STATCOM is installed at the mid-

point of the line, a sequence network for a single phase fault is utilized. The apparent impedance

seen by the distance relay can be calculated with the symmetrical components of the voltage and

the current measured at the relay location.

The basic equation to calculate the apparent impedance seen by a distance relay for a single

phase to ground is [4]:

Z =

(3.1)

where:

VR, IR are the phase voltage and current at relay point

IR0 is zero sequence phase current

Z0, Z1 are zero and positive sequence impedance, respectively, of the

transmission line

Page 60: Effect of STATCOM Location on Distance Protection Relay

48

For a distance relay on this transmission line, there are two possible fault locations to consider

relative to the STATCOM in the circuit: before and after the STATCOM point of installation.

3.1.1 Single phase fault after the STATCOM

A transmission line with a STATCOM installed at the mid-point and a single phase to ground

fault in the second half of the transmission line, i.e. after the STATCOM, is shown in Figure 3.2.

In the circuit, the distance relay is installed next to the sending Bus 1 and protects the

transmission line. The parameter ‘n’ is defined as the per unit distance from the fault location to

the relay location. Iline is the current in the transmission line after the STATCOM installation

point, Vs and Is are the voltage and current at bus 1, respectively, If is the ground fault current, Ist

is the shunt current injected from the STATCOM, Z is the combined impedance of the whole

transmission line.

Figure 3.2 Circuit with a fault after the STATCOM

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49

Figure 3.3 Sequence Circuit with a single phase to ground fault after mid-point STATCOM

The sequence circuit for the case of a single phase to ground fault (A-G) in the transmission line

when the STATCOM is included in the fault loop is shown in Figure 3.3.

From Figure 3.3 it can be written that:

V1s= V1f + 0.5Z1I1s + (n-0.5)Z1(I1s + I1st) (3.2)

V2s= V2f + 0.5Z2I2s + (n-0.5)Z2(I2s + I2st) (3.3)

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50

V0s= V0f + 0.5Z0I0s + (n-0.5)Z0(I0s + I0st) (3.4)

As:

Z1=Z2 (for a transmission line) (3.5)

Vs= V1s + V2s + V0s, (3.6)

V1f + V2f + V0f = 0 (for a direct short-circuit to ground) (3.7)

then:

Vs = nZ1I1s + (n-0.5)Z1(I1s + I1st) + nZ2I2s + (n-0.5)Z2(I2s + I2st)+ nZ0I0s + (n-0.5)Z0(I0s + I0st)

(3.8)

Also for a single phase to ground fault (e.g. A-G):

I1s = I2s = I0s (3.9)

Ia= I1s + I2s + I0s (3.10)

The current from the STATCOM:

Ist= I1st + I2st + I0st (3.11)

I0st =0 (3.12)

Zero sequence current I0st from the STATCOM is zero. This is due to the Y/∆ configuration of

the coupling transformer of the STATCOM.

Then:

Vs = nZ1 (Ia -I0s) + (n-0.5)Z1Ist + nZ0I0s (3.13)

Vs = nZ1 [(Ia -I0s) +

Ist+

I0s] (3.14)

Vs = nZ1 [(Ia +

I0s+ (

) Ist] (3.15)

The measured impedance of the distance relay is

Zrelay = nZ1 =

(3.16)

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51

where: n>0.5

Comparing equation (3.16) with the equation (3.1) of a distance relay without STATCOM, it can

be observed that the impedance seen by the relay is changed by the additional term (

) Ist

in the denominator. With the shunt current input from the STATCOM, Ist > 0, the reactive power

can be injected to the AC system. From equation (3.16), the apparent impedance seen by the

distance relay is bigger than the actual transmission line impedance. As one of the typical mis-

operations of a distance relay, this phenomenon is called under-reaching of a distance relay.

Similarly, on the other hand, when the STATCOM consumes reactive power from the AC

system and the current flow is from the AC system to the STATCOM, the Ist is negative (Ist < 0).

In this case the apparent impedance measured by the distance relay is smaller than the real

transmission line distance. Then another typical mis-operation of the distance relay, over-

reaching of a distance protection, occurs.

3.1.2 Single phase fault before the STATCOM

There is another scenario when the same single phase fault occurs before the STATCOM

installation point, i.e., in the first half on the transmission line.

Figure 3.4 Single phase fault before mid-point STATCOM

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52

The transmission line circuit with a single phase fault before the STATCOM is shown in Figure

3.4. This is the same circuit as discussed previously; the only difference is the single phase to

ground location. In this circuit, the distance relay is installed next to the sending Bus 1 and

protects the transmission line. The per unit distance from the fault location to the relay location is

defined as n. Iline is the current in the transmission line after the STATCOM installation point, Vs

and Is are voltage and current at bus 1, respectively, If is the ground fault current, Ist is the shunt

current injected from the STATCOM, Z is the combined impedance of the whole transmission

line.

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53

Figure 3.5 Sequence Circuit with a single phase to ground fault before mid-point STATCOM

The sequence circuit for the single phase to ground fault is shown in Figure 3.5. From the circuit:

V1s= V1f + nZ1I1s (3.17)

V2s= V2f + nZ2I2s (3.18)

V0s= V0f + nZ0I0s (3.19)

Now:

Z1=Z2 (3.4)

Vs= V1s + V2s + V0s (3.5)

V1f + V2f + V0f = 0 (3.6)

Also for a single phase to ground fault (e.g. A-G):

I1s = I2s = I0s (3.8)

Ia= I1s + I2s + I0s (3.9)

Then:

Vs = nZ1 [(Ia -I0s) + nZ0I0s (3.10)

The measured impedance of the distance relay is

Zrelay = nZ1 =

(3.11)

Equation (3.11) is the same as standard equation (3.1) for a distance relay used to calculate the

measured impedance of the transmission line it protects. This clearly indicates that in the case

that the STATCOM is not in the fault loop, the distance relay functions as normal and the

STATCOM has no effect on the distance protection.

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54

3.2 Phase to phase fault

3.2.1 Phase to phase fault after the STATCOM

The basic equation to calculate the apparent impedance seen by a distance relay for a fault

between phases B and C in a three phase transmission is [4]:

Z = cb

cb

II

VV

(3.12)

Figure 3.6 Sequence circuit with a phase to phase fault after mid-point STATCOM

The sequence circuit for the case of a phase to phase fault (B-C) in the transmission line when

the mid-point STATCOM is included in the fault loop is shown in Figure 3.6. The positive and

negative sequence voltage equations can be written as:

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55

V1s= V1f + 0.5Z1I1s + (n-0.5)Z1(I1s + I1st) (3.13)

V2s= V2f + 0.5Z2I2s + (n-0.5)Z2(I2s + I2st) (3.14)

As:

Z1=Z2 (3.15)

V1f = V2f (3.16)

Then:

V1s -V2s =0.5Z1 (I1s - I2s) + (n-0.5) Z1 (I1s + I1st -I2s -I1st) (3.17)

From the sequence components:

Vb = V0 + V1 + α V2 (3.18)

Vc = V0 + α V1 + V2 (3.19)

Ib = I0 + I1 + α I2 (3.20)

Ic = I0 + α I1 + I2 (3.21)

Then:

V1s -V2s =

(Vb- Vc) (3.22)

I1s -I2s =

(Ib- Ic) (3.23)

I1st -I2st =

(Ib-st- Ic-st) (3.24)

The impedance seen by the distance relay is calculated as:

Zrelay =

cb

cb

II

VV

= nZ1 +

cb

stcstb

II

II

(n-0.5) Z1 (3.25)

where n>0.5

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56

Compared to the standard equation 3.2 that a distance relay is used for phase to phase fault

determination, equation 3.25 has an extra term cb

stcstb

II

II

(n-0.5) Z1. It shows the effect of the

STATCOM on the measured impedance of a distance relay and the distance relay may not

operate properly. As the currents of the STATCOM, Ib-st and Ic-st are smaller than the system

current Ib&Ic in a phase to phase fault, the error of the seen impedance of the distance relay is

within a small range.

3.2.2 Phase to phase fault before the STATCOM

Figure 3.7 Sequence circuit with a phase to phase fault before mid-point STATCOM

Page 69: Effect of STATCOM Location on Distance Protection Relay

57

The sequence circuit for a phase to phase fault before the STATCOM is shown in Figure 3.7. In

this case:

V1s= V1f + nZ1I1s (3.26)

V2s= V2f + nZ2I2s (3.27)

As:

Z1=Z2 (3.28)

V1f = V2f (3.29)

Then:

V1s -V2s =nZ1 (I1s - I2s) (3.30)

From the sequence components:

Vb = V0 + V1 + α V2 (3.18)

Vc = V0 + α V1 + V2 (3.19)

Ib = I0 + I1 + α I2 (3.20)

Ic = I0 + α I1 + I2 (3.21)

The impedance seen the distance relay is calculated as:

Zrelay =

cb

cb

II

VV

= nZ1 (3.31)

Equation 3.31 is the same as standard equation 3.12 that a distance relay is used to calculate the

measured impedance of the transmission line for a phase to phase fault. This clearly indicates

Page 70: Effect of STATCOM Location on Distance Protection Relay

58

that in the case that the STATCOM is not in the fault loop, the distance relay functions as normal

and the STATCOM has no effect on the distance protection.

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59

Chapter Four: Simulation

4.1 System Simulation

EMTDC/PSCAD (Power System CAD) is utilized in this Chapter to build a simulation model for

a 230 kV, 360 km long transmission system with a shunt-connected STATCOM. The

transmission line in the simulated system is protected by a two-zone step distance protection

scheme. Various system configurations and contingent conditions are considered in order to

perform an analysis of how the shunt-connected STATCOM would affect the distance protection

in the transmission system. This includes different fault types/fault resistance, different

STATCOM installation locations, and various voltage settings of the STATCOM.

Some FACTS and protection components in the PSCAD library are referenced to compose the

major sections of the STATCOM, transmission line, as well as the distance protective scheme.

4.1.1 Transmission System Module

System configuration

Configuration of the simulated AC single line diagram is shown in Figure 4.1

Figure 4.1 Single line Diagram of Simulated Power System

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60

In this system, the generator and the load are connected through a 360 km, 230 kV transmission

line. A distance relay with two protective zones is installed next to Bus 1 that is close to power

source Gen1 to react under various fault conditions. These include single phase to ground fault,

phase to phase fault, and three-phase to ground fault at different locations on the transmission

line. Another distance relay installed next to Bus 2 has the same function but protects the

transmission line from the reverse direction. A STATCOM with 70 MVA rating is shunt

connected into the system for analysis.

The EMTDC/PSCAD model includes several modules to achieve the complete functionality.

Among these modules, The Voltage Control and PWM Control modules are selected for

STATCOM control; Signal Processing module and Protection Scheme module compose a two-

zone distance relay detecting phase to ground fault and phase to phase fault. Several display

modules, such as System Display, STATCOM Display and Relay Display, are also built in for

better presentation of different analog/digital variables and relay protective zones with measured

impedance in the simulated system.

Transmission line

The 360 km long transmission line is simulated according to a Bergeron model [32], a model that

is based on a distributed LC parameter travelling wave line with lumped resistance and

reactance. Four 90 m long transmission line sections with transmission line interfaces are used in

the simulation. The line module with two overhead ground wires, as shown in Figure 4.2, is used

and the ACSR 477 is chosen for each single phase conductor.

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61

Figure 4.2 Transmission Line Module

In Figure 4.2, one of the transmission towers, named 3H5, is shown. In this figure, GND1 and

GND2 represent overhead ground wires, and C1, C2 and C3 are the three phase conductors. The

conductors, and the clearance between them and ground determine transmission line parameters.

Parameters of the transmission line for this model are as follows:

Positive sequence impedance 0.0115 +j*0.572 ohms/km,

Negative sequence impedance 0.0115 +j*0.572 ohms/km,

Zero sequence impedance 0.4428 +j*1.3907 ohms/km

Conductor DC resistance: 0.1138 ohm/km

Conductor Geometric Mean Radius: 0.008758 m

Number of sub-conductors in a bundle: 1

Generator and load

There is a generator and a load in the simulated system. Both are based on Three-Phase Voltage

Source Model 3 in the PSCAD library and both of them are set with a capacity of 100 MVA at

230 kV. The load at the end of the transmission line is presented as a generator, which is chosen

30 [m]

10 [m]

C1

C2

C3

10 [m]

Ground_Wires: 1/2"HighStrengthSteel

Conductors: 3M (ACSR 477)

Tower: 3H5

10 [m]

0 [m]

5 [m]

GND1 GND2

Page 74: Effect of STATCOM Location on Distance Protection Relay

62

to have the reference system angle for the transmission system. The generator in the system at

the sending end (Bus1) has a phase angle θ =10° input in order to create power flow on the

transmission line from Gen to Load in the simulation.

Parameters of the generator and the load are:

Generator and unit transformer

Power rating: 100 MVA;

Voltage at HV terminal of unit transformer: 230 kV;

System frequency: 60 Hz;

Phase angle: 10°;

Positive sequence impedance: 4.08815.14 ;

Zero sequence impedance: 17.8884.20 ;

Load

Power rating: 100 MVA;

System voltage: 230 kV;

System frequency: 60 Hz;

Phase angle: 0°;

Positive sequence impedance: 8045.26 ;

Zero sequence impedance: 68.8432.70 ;

Page 75: Effect of STATCOM Location on Distance Protection Relay

63

4.1.2 STATCOM modelling and its Control Circuit

The STATCOM considered in this work is based on a Voltage-Source Converter. As discussed

before, from a given DC input voltage the STATCOM produces a set of three-phase AC output

voltages to compensate the AC system. Each output voltage is in phase with the AC system and

is coupled to the corresponding AC system voltage through a small reactance, provided by the

leakage inductance of a coupling transformer. An energy-storage capacitor is utilized for the DC

voltage input.

STATCOM model

The two level six-pulse STATCOM model, comprised of six Power Electronic Switches and a

Y/D transformer from PSCAD example Lib, is chosen in this work. The core component of the

STATCOM is based on Voltage-Sourced Converter, in which GTOs are utilized as the switching

valves.

Figure 4.3 VSC-based STATCOM module

g1

g2

g3

g4

g5

g6

1

2

300.0 [uF]

3

2

5

2

4

2

6

2

2

2

#1 #2

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64

A VSC-based STATCOM module is shown in Figure 4.3. In this figure, the ratio of the Y/D-11

coupling transformer is 220 kV/25 kV. The transformer is rated at 300 MVA and its positive

sequence leakage reactance is 0.1p.u. G1 to G6 are GTO-based power electronic switches

whose gate firing pulses (g1 to g6) are generated by the STATCOM PWM control module.

Each GTO has a reversed paralleled connected diode with 10 000 V reverse withstand voltage.

A snubber circuit comprising resistance and capacitance is included in the GTO module as well.

The capacitance of the capacitor in the DC circuit is 300 μF.

The STATCOM control employed in this work is the Direct Control approach (discussed in

Chapter 2) and is based on PWM to generate the sequence firing gate signals so as to turn

on/off the GTO switches in the STATCOM to satisfy the desired VAR compensation and

voltage stability. Essentially the control of the VAR compensator is by computing the voltage

difference between STATCOM AC output and AC system from which the STATCOM takes its

reference. It can control the DC voltage of the capacitor through a defined algorithm and hence

achieve the goal of controlling the output voltage as well as the VAR output of the STATCOM

at a pre-set level. The phase shift angle caused by the installed coupling transformer is also

considered to generate gating signals for corresponding GTOs’ on/off operation.

The major components in control include two parts: Voltage Control Loop Module and PWM

Control Module.

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65

Voltage Control Loop

Figure 4.4 Voltage Control Loop of STATCOM Control Module

The voltage control module of the STATCOM is shown in Figure 4.4. Reference signals are the

per unit values of voltage that STATCOM is connecting to the system and the RMS value of the

reactive power that the STATCOM exchanges with the system. The per-unit value of the reactive

current is calculated first. Then after going through the low pass filters employed by the 2nd

order transfer function, the voltage error is obtained to generate the phase shift angle for

STATCOM through a Lead-Lag controller and PI controller. The output of the PI controller is

the angle order, which represents the required angle shift between the voltage generated by the

STATCOM and the system voltage based on the voltage error. The angle shift will determine the

direction and amount of real power and reactive flow between STATCOM and the AC system.

PWM Control Module

In PWM control module, firing pulses for each GTO are generated by using comparison of

reference signals to triangular signals. There are two parts in the module to generate triangular

Angle

Shift

PI

Controller 2

1

1

1

sT

sT

+ Vref

Voltage

RMS (p.u.)

B

A

A

B

3%

Droop +

Low Pass

90Hz Notch

120Hz Notch

Reactive

Power (p.u.)

-

Page 78: Effect of STATCOM Location on Distance Protection Relay

66

signals and reference signals, respectively. The final firing pulses are obtained from an

Interpolated Firing Pulses function.

Figure 4.5 PMW Control Module part 1

The first part of a PMW Control Module is shown in Figure 4.5. The function of part one of the

PWM control module is to generate triangular waveforms that are synchronized with the system

AC voltage. A three phase PI-Controlled Phase Locked Loop (PLL) is utilized to produce a

ramp slope signal θ that varies between 0 and 360° at the carrier frequency and is locked in

phase with system voltage Va. Its frequency is multiplied by the PWM switching frequency

(1980Hz which is 33 times the power frequency, hence the use of IGBT devices are more

appropriate than GTO devices) and converted to a triangular signal whose amplitude is fixed

between -1 and +1. Carrier signals are converted by two Non-Linear Transfer Characteristic

components. The outputs of each component are saved in the format of a one-dimensional

scalar array. They are the triangular signals that will be used to generate firing pulses in PMW

Control Module part 2. There are two arrays in the application, one is for saving the turn-on

triangular signals and the other is for saving turn-off triangular signals. PWM frequency (1980

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67

Hz) in this work is chosen to be divisible by three. Hence it can be applied to each GTO valve

in this 6-pulse Voltage Source Converter.

(a)

(b)

Figure 4.6 PMW Control Module part 2

Part two of the PMW Control Module is shown in Fig. 4.6. The function of this second part of

PWM control module, including section (a) and section (b), is to obtain a firing pulse and the

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68

time tag required for each GTO switch in order to do the interpolated switching. In section (a),

another three Phase Locked Loop component (PLL) is utilized to generate a ramp reference

signal θ in a six-dimension format. The ramp signal is the input of the trigonometric function

(Sin) after it is shifted a phase angle (30 degree) that is determined by the connected coupling

transformer with Y-Delta configuration. It generates the signals, RSgnOn and RSgnOff, which

are used as reference signals in section (b) of this module. In section (b), an Interpolated Firing

Pulses function is employed to generate turn-on and turn-off signals for each GTO. The inputs

of the function are two sets of arrays, triangular signals (TrgOn & TrgOff) created in PMW

Control Module part 1 and reference signals created in section (a). One set of signals is for

turning on and the second one (a negation of the first set of signals) is for turning off. In this

Interpolated Firing Pulses function, the comparison from PWM triangular carrier signals to

reference sinusoidal wave signals is achieved and gating pulses are generated at cross-over

points of both signals. As a result, two pulse signals are being sent to each GTO switch in the

form of a two-element array: The first output element is binary 0/1 and represents the actual

gate control pulse to control the switch; the second one determines the exact moment of

switching and is used by a interpolation procedure which allows for switching between time

steps.

4.1.3 Distance Protection Module

Modelling for protection is comprised of the following sub-modules to achieve the basic function

of a Mho characteristic, two zone distance relay.

For phase to ground distance protection:

Page 81: Effect of STATCOM Location on Distance Protection Relay

69

Z=

0

1

10 IZ

ZZI

V

(4.1)

For phase to phase distance protection:

Z= nm

nm

II

VV

Where

a.n c;m

c;n b,m

b;n a,m

(4.2)

Figure 4.7 Distance Relay Module

A distance relay module is shown in Figure 4.7. In this module, both Line to Ground Impedance

component and Line to Line impedance component are built up. They can compute the line-to-

Single

Phase

Seen

Impedance cb,a,i

0

1

10

I

Z

ZZI

V

i

i

FFT

FFT

Phase to

Phase

Seen

Impedance

Three-phase

Currents

Three-phase

Voltages

a.n c;m

c;n b,m

b;n a,m

nm

nm

II

VV

Sequence

Filter

Sequence

Filter

Page 82: Effect of STATCOM Location on Distance Protection Relay

70

ground impedance and the line-to-line impedance seen by an impedance relay. The Mho

characteristic is chosen to determine whether the measured impedance is within the protective

zone. Inputs of the distance relay module are the current and voltage at the distance relay

installation point. The output of the distance relay is the tripping signal to the circuit breaker to

isolate the fault. It is logic 1 if the measured impedance is within the setting circle boundary,

otherwise the output is 0. The assigned breaker (Bs) in the simulation system is controlled to

open the circuit by the output logic 1 after a time delay. In the distance relay module, there are

two major sections to achieve the basic functions for Voltage & Current Signal Processing and

Distance Mho Characteristic.

Voltage & Current Signal Processing

Figure 4.8 Voltage Signal Processing

The Voltage Signal Processing procedure to get accurate sequence components of measured

voltage at the distance relay for impedance calculation is shown in Figure 4.8. An online Fast

Fourier Transform (FFT), a component that can determine the harmonic magnitude and phase

angle of the input signal as a function of time, is utilized to filter out the harmonics (including

X1

X2

X3

Ph1

Ph2

Ph3

Mag1 Mag2 Mag3

(7)

(7)

(7)

(7) (7) (7)

dc1 dc2 dc3

F F T

F = 60.0 [Hz]

1

2

3

v

1 1 1

vam vbm vcm

1

1

1

vap

vbp

vcp

|A|

/_A

|B|

/_B

|C|

/_C

|P|

/_P

|N|

/_N

|Z|

/_Z

ABC

+-

0

vam

vbm

vcm

vap

vbp

vcp

vpm

vnm

vzm

vpp

vnp

vzp

Page 83: Effect of STATCOM Location on Distance Protection Relay

71

the DC component) of the input voltage and to extract fundamental magnitudes and phases. This

component is meant for processing signals consisting of power frequencies (typically 50 Hz and

60 Hz) and its harmonics. As the distance protection is not designed to respond to high frequency

harmonics, maximum 7th harmonics in the component is chosen to satisfy the accuracy

requirement of the relay. From the FFT function, the magnitude and phase angle of the input

voltage at fundamental frequency in each phase can be obtained. In Figure 4.8 for example, for

phase A voltage, the output is vam (magnitude) and vap (phase angle). Afterwards, in a

Sequence Filter function, the three phase voltages filtered from FFT are decomposed into their

sequence component formats and are saved in arrays. Exactly the same functions and logics are

used for Current Signal processing. Then some other arrays to install the sequence component

formats of three phase currents can be created for the next steps of calculation.

Distance Mho Characteristic

Figure 4.9 Line-to-Ground Impedance and Mho Component

A component that computes the line-to-ground impedance as seen by a ground impedance relay

and a Mho component in PSCAD library are shown in Figure 4.9. The inputs of the function are

voltage magnitude & phase of the positive and zero sequence of current, and phase to ground

voltage on the faulty phase. The line-to-ground impedance component produces the resistance

VM

IM

I0M

VP

IP

I0P

R

X

Va

Ia+ kI

0

R

X

21

Page 84: Effect of STATCOM Location on Distance Protection Relay

72

and reactance of the calculated impedance, which work as inputs of the Mho component. In the

Mho component, the comparison is made between calculated impedance and the pre-set Mho

circle. Depending on whether the calculated impedance is within the Mho circle or not, the

output of the Mho component is given as 1 or 0.

Figure 4.10 Line-to-Line Impedance and Mho Component

A line-to-line impedance component that computes the phase to phase impedance as measured

by a relay and a Mho component are shown in Figure 4.10. The structure of the function is

similar to the Line-to-Ground Impedance and Mho component just discussed. The inputs of the

line-to-line impedance component are voltages and currents from two different phases. The

output function is either 1 or 0 depending on the comparison between pre-set Mho circle and the

calculated impedance.

In the simulation, two distance protection zones have been applied with the following settings.

The complete impedance of the transmission line as per the modulation is:

|Z1|=215.04 Ω θ=78.59°

|Z0|=577.74 Ω θ= 72.34°

Hence

K =

= 1.50 (4.3)

VM1

VP1

VM2

VP2

IM1

IP1

IM2

IP2

R

X

V - Va b

I Ia b

-

R

X

21

Page 85: Effect of STATCOM Location on Distance Protection Relay

73

Zone 1:

The setting of zone 1 is set to cover 85% of the transmission line

Hence the setting of Zone 1 is

|Z1|= 178.55Ω θ=78.52° Instantaneous Trip

Zone 2

The setting of Zone 2 is set to cover 120% of the transmission line with the time delay of 0.35s

|Z2|=252.07 Ω θ=78.52° T=0.35s

The protective zones based on the setting are programmed to be of a typical two-zone directional

Mho characteristic through origin in PSCAD system as follows.

Distance Relay Output

Figure 4.11 Distance Relay Output

1

2

3

4

6

5

Ta0Z1

Tb0Z1

1

2

3

4

6

5TcaZ1

Tc0Z1

TabZ1

TbcZ1

Ta0Z2

Tb0Z2

TcaZ2

Tc0Z2

TabZ2

TbcZ2

TIME

Delay

TIME

Delay

Trip

Z1_Trip

Z2_Trip

Page 86: Effect of STATCOM Location on Distance Protection Relay

74

The output of a two zone distance relay is shown in Figure 4.11. When the calculated impedance

value from voltage and current is within the preset Mho boundaries of the Zone1 or Zone 2 of the

relay, the output of the zone will be asserted to logic 1. In this distance protection module, there

are six phase-to-ground Mho components and six phase-to-phase Mho components, to achieve

the complete coverage of Zone1 and Zone2 for various fault detections. Outputs from both

Zone1 and Zone2, after adequate time delay respectively, have an ‘OR” operation and the

outcome is sent to trip the main breaker (Bs) to isolate the fault from the system.

4.2 Fault Simulations

The installation position of the STATCOM in the transmission system has a significant influence

on distance tripping performance. In this work, three installation locations are considered as

follows: midpoint of transmission line, near end bus (Bus 1) and far end bus (Bus2). The desired

voltage level of STATCOM output is set to be 1.0 p.u. In this simulation, in order to have a

better illustration of the impedance trajectories that the relay detects, the main breaker (Bs) is

always kept close even though the tripping signal is received. All the faults are set to apply to the

system at 0.2s from the start of the simulation and last 0.5s only, and all the faults are set to

occur at 75% length of the line from near end bus (Bus 1).

The behaviour of the distance relay that is installed next to Bus 1 is to be studied. As per the

setting of Zone 1 of the distance relay, the reach of the zone is to cover 85% length of the

transmission line. While for Zone 2, the reach boundary is up to 120% of the transmission line.

In each of the following figures (Figure 4.12 through Figure 4.17), the Mho circles for Zone1

and Zone2 are presented. For phase to ground fault (A-G), the trajectory of the measured

impedance on faulty phase is shown. For Phase to Phase fault (BC-G and A-B), the trajectories

Page 87: Effect of STATCOM Location on Distance Protection Relay

75

of the measured impedances on two faulty phases are shown. It is the same presentation in Three

Phase fault (A-B-C) as the trajectories of the measured impedance on three fault phases are

shown. With various faults, in the case there is no STATCOM installed, the distance relay should

pick up with Zone 1. However, with the installation of STATCOM, the apparent impedance the

relay detects is off the Mho circle when it should be within. This represents mis-operation of the

distance relay.

4.2.1 Midpoint connected STATCOM simulation

For a midpoint connected STATCOM transmission system, three different types of faults are

considered with two different fault resistance values 0 Ω and 50 Ω. Comparative results are

shown in Figs. 4.12 through 4.14. For an easy illustration, all the diagrams are shown in a pattern

that the measured impedance trajectory without STATCOM in the simulation is on left and the

one with STATCOM is on right. It also needs to be noted that in the simulations the 0 Ω of

ground fault resistance is set to be 0.01 Ω due to the constraint of the PSCAD software. From the

analysis made in chapter 3 and the previous work in referenced papers, STATCOM connecting

at the midpoint of the transmission line has a significant influence on the tripping characteristic

of a Mho distance relay. From all simulations, both overreaching and under-reaching of the

distance relay has occurred in different fault conditions.

Page 88: Effect of STATCOM Location on Distance Protection Relay

76

Fault resistance is 0 Ω

Figure 4.12 Measured Impedance for Single phase ground (A-G) fault

(a) Phase to Phase impedance

-100 0 100 200 300

0

100

200

300

+y

-y

-x +x

X Coordinate Y Coordinate

Ra

Rcircle2

Rcircle1

Xa

Xcircle2

Xcircle1

-100 0 100 200 300

0

100

200

300

+y

-y

-x +x

X Coordinate Y Coordinate

Ra

Rcircle2

Rcircle1

Xa

Xcircle2

Xcircle1

-200 -100 0 100 200 300

0

100

200

300

+y

-y

-x +x

X Coordinate Y Coordinate

Rcircle1

Rbc

Rca

Xcircle1

Xbc

Xca

-200 -100 0 100 200 300

0

100

200

300

+y

-y

-x +x

X Coordinate Y Coordinate

Rcircle1

Rbc

Rca

Xcircle1

Xbc

Xca

Page 89: Effect of STATCOM Location on Distance Protection Relay

77

(b) Phase to ground impedance

Figure 4.13 Measured Impedance for Phase-Phase-ground (BC-G) fault

Figure 4.14 Measured Impedance for Three Phase (A-B-C) fault

It can be observed from Figures 4.12 through 4.14 that the resistance and reactance of the

apparent impedance of the transmission line with installed STATCOM is changed and thus the

-100 0 100 200 300

0

100

200

300

+y

-y

-x +x

X Coordinate Y Coordinate

Rcircle1

Rb

Rc

Xcircle1

Xb

Xc

-100 0 100 200 300

0

100

200

300

+y

-y

-x +x

X Coordinate Y Coordinate

Rcircle1

Rb

Rc

Xcircle1

Xb

Xc

-200 -100 0 100 200 300

0

100

200

300

+y

-y

-x +x

X Coordinate Y Coordinate

Rcircle2

Rcircle1

Rbc

Xcircle2

Xcircle1

Xbc

-200 -100 0 100 200 300

0

100

200

300

+y

-y

-x +x

X Coordinate Y Coordinate

Rcircle2

Rcircle1

Rbc

Xcircle2

Xcircle1

Xbc

Page 90: Effect of STATCOM Location on Distance Protection Relay

78

trajectories of impedance curve are out of Zone 1 Mho boundary in every single case. This

causes under-reaching of the distance relay because the actual reach of the distance protective

Zone 1 decreases due to the presence of STATCOM in the system. It is shown that in the single

phase to ground fault case, both resistance and reactance measured by the relay increase with the

connection of the STATCOM. It is worth mentioning, however, that in the case of a phase to

phase fault, the measured reactance of the relay decreases while resistance still increases when

the STATCOM is connected.

Fault resistance is 50 Ω

By keeping the rest of the settings of the simulation unchanged, some tests following the same

testing procedures were run and the results were recorded in Figures 4.15 through 4.17. The

results show that, due to the high resistance of the fault, over-reaching of distance relay is present

in the some simulations.

Figure 4.15 Measured Impedance for Single Phase Ground (A-G) fault

-100 0 100 200 300

0

100

200

300

+y

-y

-x +x

X Coordinate Y Coordinate

Ra

Rcircle2

Rcircle1

Xa

Xcircle2

Xcircle1

-100 0 100 200 300

0

100

200

300

+y

-y

-x +x

X Coordinate Y Coordinate

Ra

Rcircle2

Rcircle1

Xa

Xcircle2

Xcircle1

Page 91: Effect of STATCOM Location on Distance Protection Relay

79

In Figure 4.15, single phase to ground fault shot shows that Zone 2 of the distance relay has an

over-reach when the STATCOM is present in the fault loop. When the fault resistance is big, in

normal conditions without STATCOM in the circuit, either Zone1 or Zone 2 of the distance relay

cannot detect the fault. This is shown in the left figure. In comparison, when a STATCOM is

present in the fault circuit, Zone 2 of the distance relay mistakenly detects the fault.

(a) Phase to ground impedance

(b) Phase to Phase impedance

Figure 4.16 Measured Impedance for Phase-Phase-ground (BC-G) fault

-100 0 100 200 300

0

100

200

300

+y

-y

-x +x

X Coordinate Y Coordinate

Ra

Rcircle2

Rcircle1

Xa

Xcircle2

Xcircle1

-100 0 100 200 300

0

100

200

300

+y

-y

-x +x

X Coordinate Y Coordinate

Ra

Rcircle2

Rcircle1

Xa

Xcircle2

Xcircle1

-200 -100 0 100 200 300

0

100

200

300

+y

-y

-x +x

X Coordinate Y Coordinate

Rcircle2

Rcircle1

Rbc

Xcircle2

Xcircle1

Xbc

-200 -100 0 100 200 300

0

100

200

300

+y

-y

-x +x

X Coordinate Y Coordinate

Rcircle2

Rcircle1

Rbc

Xcircle2

Xcircle1

Xbc

Page 92: Effect of STATCOM Location on Distance Protection Relay

80

Figure 4.17 Measured Impedance for Three Phase (A-B-C) fault

Figures 4.16 and 4.17 show the same test results that a distance relay is over-reaching at phase-

phase to ground fault and three-phase to ground fault conditions.

The reason of Over-reaching of distance relay is as follows:

The over-reach phenomenon to Zone 2 of the distance relay is caused by the fact that the

reactive power the STATCOM injected to AC power system turned negative during the fault

period. The reactive powers sent from STATCOM to AC system in different simulations are

shown in Figures 4.18 through 4.20, respectively. The analysis on the reactive current/power

direction was made in Chapter 3, which is validated with the tests here.

-200 -100 0 100 200 300

0

100

200

300

+y

-y

-x +x

X Coordinate Y Coordinate

Rcircle2

Rcircle1

Rbc

Xcircle2

Xcircle1

Xbc

-200 -100 0 100 200 300

0

100

200

300

+y

-y

-x +x

X Coordinate Y Coordinate

Rcircle2

Rcircle1

Rbc

Xcircle2

Xcircle1

Xbc

Page 93: Effect of STATCOM Location on Distance Protection Relay

81

Figure 4.18 Reactive Power from STATCOM for Single Phase Ground (A-G) fault

Figure 4.19 Reactive Power from STATCOM for Phase-Phase-Ground (BC-G) fault

Figure 4.20 Reactive Power from STATCOM for Three Phase (A-B-C) fault

-2.00

-1.50

-1.00

-0.50

0.00

0.50

1.00

1.50 y (

MV

AR

)

st Reactive Pow er Sending Reactive Pow er

-2.50

-2.00

-1.50

-1.00

-0.50

0.00

0.50

1.00

1.50

2.00

y (

MV

AR

)

st Reactive Pow er Sending Reactive Pow er

-4.0

-2.0

0.0

2.0

4.0

6.0

8.0

10.0

12.0

y (

MV

AR

)

st Reactive Pow er Sending Reactive Pow er

Page 94: Effect of STATCOM Location on Distance Protection Relay

82

4.2.2 Near-end bus connected STATCOM simulation

For a near end bus (Sending Bus1) connected STATCOM transmission system, by following the

same test procedures with three different types of faults and fault resistance value 0 Ω, the

comparisons are shown in Figures 4.21 through 4.23.

Figure 4.21 Measured Impedance for Single phase ground (A-G) fault

(a) Phase to ground impedance

-200 -100 0 100 200 300

-100

0

100

200

300

+y

-y

-x +x

X Coordinate Y Coordinate

Rcircle1

Rb

Rc

Xcircle1

Xb

Xc

-200 -100 0 100 200 300

-100

0

100

200

300

+y

-y

-x +x

X Coordinate Y Coordinate

Rcircle1

Rb

Rc

Xcircle1

Xb

Xc

-200 -100 0 100 200 300

-100

0

100

200

300

+y

-y

-x +x

X Coordinate Y Coordinate

Rcircle1

Rb

Rc

Xcircle1

Xb

Xc

-200 -100 0 100 200 300

-100

0

100

200

300

+y

-y

-x +x

X Coordinate Y Coordinate

Rcircle1

Rb

Rc

Xcircle1

Xb

Xc

Page 95: Effect of STATCOM Location on Distance Protection Relay

83

(b) Phase to Phase impedance

Figure 4.22 Measured Impedance for Phase-Phase-ground (BC-G) fault

Figure 4.23 Measured Impedance for Three Phase (A-B-C) fault

In the simulations shown in Figures 4.21 through 4.23, since the STATCOM is installed on Bus

1 and the relay measuring CTs are installed at the starting point of the transmission line after the

STATCOM, when there is a fault located at 75% length of the transmission line, the STATCOM

-200 -100 0 100 200 300

0

100

200

300

+y

-y

-x +x

X Coordinate Y Coordinate

Rcircle1

Rbc

Rca

Xcircle1

Xbc

Xca

-200 -100 0 100 200 300

0

100

200

300

+y

-y

-x +x

X Coordinate Y Coordinate

Rcircle1

Rbc

Rca

Xcircle1

Xbc

Xca

-200 -100 0 100 200 300

0

100

200

300

+y

-y

-x +x

X Coordinate Y Coordinate

Rcircle1

Rbc

Rca

Xcircle1

Xbc

Xca

-200 -100 0 100 200 300

0

100

200

300

+y

-y

-x +x

X Coordinate Y Coordinate

Rcircle1

Rbc

Rca

Xcircle1

Xbc

Xca

Page 96: Effect of STATCOM Location on Distance Protection Relay

84

actually is not in the circuit that the distance relay protects due to its directional characteristic.

Hence the apparent impedance measured by the relay is equal to the actual impedance of the

transmission line section from relay point to fault point and is rarely affected by the reactive

power injection from the STATCOM. It can be observed from the distance relay measured

impedance trajectories in all cases and it is consistent with the analysis in Chapter 3.

4.2.3 Far-end bus connected STATCOM simulation

For a far end bus (Bus2) connected STATCOM transmission system, by following the same test

procedures with three different types of faults and fault resistance value 0 Ω, the comparisons

are shown in Figures 4.24 through 4.26.

Figure 4.24 Measured Impedance for Single phase ground (A-G) fault

-200 -100 0 100 200 300

-100

0

100

200

300

+y

-y

-x +x

X Coordinate Y Coordinate

Rcircle1

Rb

Rc

Xcircle1

Xb

Xc

-200 -100 0 100 200 300

-100

0

100

200

300

+y

-y

-x +x

X Coordinate Y Coordinate

Rcircle1

Rb

Rc

Xcircle1

Xb

Xc

Page 97: Effect of STATCOM Location on Distance Protection Relay

85

(a) Phase to ground impedance

(b) Phase to Phase impedance

Figure 4.25 Measured Impedance for Phase-Phase-ground (BC-G) fault

-200 -100 0 100 200 300

-100

0

100

200

300

+y

-y

-x +x

X Coordinate Y Coordinate

Rcircle1

Rb

Rc

Xcircle1

Xb

Xc

-200 -100 0 100 200 300

-100

0

100

200

300

+y

-y

-x +x

X Coordinate Y Coordinate

Rcircle1

Rb

Rc

Xcircle1

Xb

Xc

-200 -100 0 100 200 300

0

100

200

300

+y

-y

-x +x

X Coordinate Y Coordinate

Rcircle1

Rbc

Rca

Xcircle1

Xbc

Xca

-200 -100 0 100 200 300

0

100

200

300

+y

-y

-x +x

X Coordinate Y Coordinate

Rcircle1

Rbc

Rca

Xcircle1

Xbc

Xca

Page 98: Effect of STATCOM Location on Distance Protection Relay

86

Figure 4.26 Measured Impedance for Three Phase (A-B-C) fault

In the simulations shown in Figures 4.24 through 4.26, the STATCOM is installed at the far end

bus (Bus 2) of the system, where it is out of the reach of Zone 1 but still within Zone 2 of the

distance relay. When there is a fault located at 75% length of the transmission line, the

STATCOM actually is in the circuit that the distance relay protects and hence the apparent

impedance measured by the relay should deviate from the actual impedance of the transmission

line section that is from relay point to fault point. In this case, the STATCOM actually is out of

the Zone 1 coverage. As per the analysis and equation 3.21 in Chapter 3, Zone 1 protection in

this case should function normally. Zone 2 protection should have under-reaching per analysis in

section 4.21. Simulation studies in Figures 4.24 through 4.26 show that zone 1 protections does

not change at all in these tests and there is small offset on the trajectories of measured impedance

by zone 2 protection in all cases. Thus as a conclusion, when a STATCOM is installed at

transmission line receiving end, the impedance measured by Zone 2 of distance relay is with

errors, but Zone 1 protection is still reliable. The distance scheme still functions well to protect

-200 -100 0 100 200 300

0

100

200

300

+y

-y

-x +x

X Coordinate Y Coordinate

Rcircle1

Rbc

Rca

Xcircle1

Xbc

Xca

-200 -100 0 100 200 300

0

100

200

300

+y

-y

-x +x

X Coordinate Y Coordinate

Rcircle1

Rbc

Rca

Xcircle1

Xbc

Xca

Page 99: Effect of STATCOM Location on Distance Protection Relay

87

the transmission line under all fault conditions but additional backup protection is needed to

cover 100% of the line.

4.2.4 Effect of Voltage Setting of STATCOM

All the above tests are run with the STATCOM voltage setting at 1.0 p.u. The maximum reactive

power injected from STATCOM to AC system is less than 12 MVAR in order to maintain the

pre-set 1.0 p.u. voltage in various fault conditions. Behaviour of a distance relay when the

STATCOM compensation voltage is set at different levels at a midpoint connected system for

various fault conditions (A-G, BC-G and ABC) is discussed in this section. The tests results are

recorded as follows in a pattern from left to right where the reference voltage of STATCOM (Vref

) is set at 1.0 p.u., 0.9 p.u. and 1.1 p.u., respectively.

Figure 4.27 Measured Impedance for A-G fault Vref = 1.0 p.u, 0.9 p.u and 1.1 p.u

Figure 4.28 Measured Impedance for BC-G fault Vref = 1.0 p.u, 0.9 p.u and 1.1 p.u

-100 0 100 200 300

0

100

200

300

+y

-y

-x +x

X Coordinate Y Coordinate

Ra

Rcircle2

Rcircle1

Xa

Xcircle2

Xcircle1

-200 -100 0 100 200

0

100

200

+y

-y

-x +x

X Coordinate Y Coordinate

Rcircle1

Rb

Rc

Xcircle1

Xb

Xc

-200 -100 0 100 200

0

100

200

+y

-y

-x +x

X Coordinate Y Coordinate

Rcircle1

Rb

Rc

Xcircle1

Xb

Xc

-200 -100 0 100 200

0

100

200

+y

-y

-x +x

X Coordinate Y Coordinate

Rcircle1

Rbc

Rca

Xcircle1

Xbc

Xca

-200 -100 0 100 200 300

-100

0

100

200

300

+y

-y

-x +x

X Coordinate Y Coordinate

Rcircle1

Rbc

Rca

Xcircle1

Xbc

Xca

-200 -100 0 100 200

0

100

200

+y

-y

-x +x

X Coordinate Y Coordinate

Rcircle1

Rbc

Rca

Xcircle1

Xbc

Xca

Page 100: Effect of STATCOM Location on Distance Protection Relay

88

Figure 4.29 Phase to Phase Seen impedance for ABC-G fault Vref = 1.0 p.u, 0.9 p.u and 1.1 p.u

Figure 4.30 Measured Impedance for ABC fault Vref = 1.0 p.u, 0.9 p.u and 1.1 p.u

As described before in Chapter 3, when reactive power is injected into the system (the shunt

current from STATCOM to the system), the apparent impedance seen by a distance relay is

bigger. This will lead to the under-reaching of a distance relay. Likewise, when the STATCOM

consumes reactive power from the AC system, over-reaching of a distance protection occurs.

However, it is easy to conclude from the comparison of the trajectories of the measured

impedance of the distance relay in Figures 4.27 through 4.30 that the voltage settings of

STATCOM have less effect on the measured impedance of a distance relay. This happens

because in the application the different reference settings of STATCOM are in a regular range,

-200 -100 0 100 200 300

-100

0

100

200

300

+y

-y

-x +x

X Coordinate Y Coordinate

Rcircle1

Rbc

Rca

Xcircle1

Xbc

Xca

-200 -100 0 100 200 300

-100

0

100

200

300

+y

-y

-x +x

X Coordinate Y Coordinate

Rcircle1

Rbc

Rca

Xcircle1

Xbc

Xca

-200 -100 0 100 200 300

-100

0

100

200

300

+y

-y

-x +x

X Coordinate Y Coordinate

Rcircle1

Rbc

Rca

Xcircle1

Xbc

Xca

-200 -100 0 100 200 300

-100

0

100

200

300

+y

-y

-x +x

X Coordinate Y Coordinate

Rcircle1

Rbc

Rca

Xcircle1

Xbc

Xca

-200 -100 0 100 200 300

-100

0

100

200

300

+y

-y

-x +x

X Coordinate Y Coordinate

Rcircle1

Rbc

Rca

Xcircle1

Xbc

Xca

-200 -100 0 100 200 300

-100

0

100

200

300

+y

-y

-x +x

X Coordinate Y Coordinate

Rcircle1

Rbc

Rca

Xcircle1

Xbc

Xca

Page 101: Effect of STATCOM Location on Distance Protection Relay

89

which causes the exchange of the reactive power between the system and STATCOM to be

small (less than 3.8 MVAR from tests) and thus the shunt current Ist is relatively small

compared to Irelay. Hence the setting of reference voltage of a STATCOM is not sensitive to a

distance relay in application and has no significant effect on the distance relay behaviour.

Reactive Power from STATCOM

Figure 4.31 Reactive Power Vref = 1.1 p.u

Figure 4.32 Reactive Power Vref = 0.9 p.u

System : Reactive Pow er

0.00 0.10 0.20 0.30 0.40 0.50 0.60 0.70 0.80 0.90 1.00 ...

...

...

-2.0

-1.0

0.0

1.0

2.0

3.0

4.0

y (

MV

AR

)

st Reactive Pow er Sending Reactive Pow er

System : Reactive Pow er

0.00 0.10 0.20 0.30 0.40 0.50 0.60 0.70 0.80 0.90 1.00 ...

...

...

-2.0

-1.0

0.0

1.0

2.0

3.0

4.0

y (

MV

AR

)

st Reactive Pow er Sending Reactive Pow er

Page 102: Effect of STATCOM Location on Distance Protection Relay

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Reactive power exchange between STATCOM and the AC system is shown in Figures 4.31 and

4.32 for the case of a three-phase to ground fault condition. If the STATCOM is set at 1.1 p.u,

during the fault time between 02s to 0.7s, the STATCOM is sending the reactive power to the

system to support the voltage. In contrary, when the STATCOM is set at 0.9p.u, the

STATCOM is sending capacitive power to the system during the fault period.

4.3 Concluding Remarks

In this chapter, a simulation system for a two-terminal power transmission line is built up along

with a STATCOM shunt connected to the transmission line. Various system components

utilized in the work and their basic functions in different modules are introduced first.

Simulations of different types of faults and STATCOM installation locations on the system are

conducted, based on which analysis and comparison of the behaviour of a distance relay in

different fault conditions are made. The test results are consistent with the analysis made in

Chapter 3. Also, a study on how the voltage setting of a STATCOM affects a distance relay is

conducted and from the tests, no significant influence is observed.

The built-up system simulation module is also ready for future analysis in order to study

adequate solutions to conquer the mis-operation of a distance relay on a transmission line when it

is shunt-compensated by a STATCOM.

Page 103: Effect of STATCOM Location on Distance Protection Relay

91

Chapter Five: Communication-aided Distance Protection Schemes

As discussed, in the case of STATCOM installed at midpoint of a transmission line, the

protection zone of a traditional distance relay will either under-reach or over-reach when faults

occur between the midpoint and remote terminal. A pilot protection relay scheme can be utilized

to help the distance relay keep its tripping accuracy and reliability.

A pilot scheme [3], also known as Teleprotection (TPR), relies on relay communication channels

sending information of a local relay to the remote end relay so as to protect 100% length of the

transmission line. It will allow high speed tripping on faults occurring on the transmission line.

The information exchange between two terminals can be currents, permissive signals and

blocking signals. PLC (Power Line Carrier), microwave and fiber optic can be applied as the

communication media. In the application where a STATCOM is installed on a transmission line,

either current comparison schemes or directional schemes can be used to eliminate the mis-

operation of the distance relay. Directional comparison schemes send fault current directional

information between the terminals. Current comparison systems send information related to

current phase angle or magnitude of the current between the two replay locations.

5.1 Directional Comparison Scheme

Various types of directional comparison schemes that use the inherent directional characteristic

of a distance relay to make up complex and secure protection of the transmission line have been

proposed [1][3]. In the case with a STATCOM installed on the transmission line, the distance

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92

protection still can function well with proper logic setup and the transferring of permissive

signals or blocking signals.

5.1.1 Permissive Transfer Trip

A distance relay with permissive signal can be used to provide a reliable protection scheme for a

two-terminal transmission line in applications with security and selectivity. The communication-

aided distance protection scheme can initiate fast clearing for faults that occur at any point on the

transmission line and reduce either the under-reaching or over-reaching of the distance

measurement [1]. The schemes require permissive transfer signals from one terminal to the other.

Based on this principle, the distance protection schemes can make Permissive Overreach

Transfer Trip (POTT) and Permissive Underreach Transfer Trip (PUTT).

Permissive Overreach Transfer Trip (POTT)

(a) Permissive overreach scheme

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(b) Logic diagram

Figure 5.1 Permissive Overreach Protection Scheme and Logic diagram

The logic of a permissive overreach distance protection scheme is shown in Figure 5.1. In this

scheme, it is expected that both ends of the transmission line have matching distance relays

installed. Zone 2 of the distance relay is utilized to initiate the permissive signals through

communication channel to the remote substation when a fault occurs in the protection zone.

Upon receiving the permissive signal, distance relay at the remote end will open the breaker in

the substation when its zone 2 protection picks up in conjunction with the received signal. If a

fault is between the STATCOM and the remote end, Sub 3, as shown in the Figure 5.1(a), per

previous discussion, the under-reaching of a distance relay will happen with a STATCOM

installed at the mid-point of the transmission line. Zone 1 of the distance relay at Sub 3 will open

the local breaker; at the same time zone 2 of the distance relay at Sub 3 will pick up and send a

permissive signal to the distance relay at Sub 2. At Sub 2, zone 1 of the distance relay is not

reliable to pick up for the faults, but zone 2 will trip the local breaker after the “AND” operation

on receipt of the transmitted signal. Time delay for normal zone 2 protection is bypassed. The

fault then is cleared in the system from both ends and the mis-operation of the distance

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94

protection can be avoided for the fault. As zone 2 of the distance relay is utilized in this POTT

scheme to send transfer signals and it is set further than remote terminal, it may cause

coordination problems for zone 2 and zone 3, especially on a short transmission line. For a

transmission line with a STATCOM installed at mid-point, a POTT scheme helps but is not the

most suitable when the overall factors are considered.

The following is the outcome of a POTT scheme in the simulation to verify the proper

functionality of the protection scheme in the power transmission system with a STATCOM

installed.

Figure 5.2 Impedance measured at the sending end for an A-G fault without STATCOM

-200 -100 0 100 200 300

-100

0

100

200

300

+y

-y

-x +x

X Coordinate Y Coordinate

Rcircle1

Rb

Rc

Xcircle1

Xb

Xc

Page 107: Effect of STATCOM Location on Distance Protection Relay

95

Figure 5.3 Measured impedance at the sending end for an A-G fault with STATCOM

Figure 5.4 Impedance measured by the receiving end relay for an A-G fault with STATCOM

-200 -100 0 100 200 300

-100

0

100

200

300

+y

-y

-x +x

X Coordinate Y Coordinate

Rcircle1

Rbc

Rca

Xcircle1

Xbc

Xca

-300 -200 -100 0 100 200 300

0

100

200

300 +y

-y

-x +x

X Coordinate Y Coordinate

Ra2

Rb2

Rc2

Xa2

Xb2

Xc2

Page 108: Effect of STATCOM Location on Distance Protection Relay

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Tripping trajectories for the two distance relays in the STATCOM-installed transmission line

system when a single phase fault (A-G) occurs at 75% of the line from the sending end, power

source 1, are shown in Figure 5.2 through 5.4. The relay correctly detects the fault in zone 1 and

zone 2 when there is no STATCOM installed in the system as shown in Figure. 5.2. Figure 5.3

shows the under-reaching of the relay when the same fault occurs but a STATCOM is connected

at the mid-point. In this case, zone 1 does not detect the fault due to the impedance of the

STATCOM and the tripping curve falling into zone 2 only. The tripping trajectory of the

distance relay at the receiving end in the transmission line system for the same fault is shown in

Figure 5.4. Both zone 1 and zone 2 of the relay can detect the fault when the STATCOM is

installed

Figure 5.5 Timing for POTT scheme

Page 109: Effect of STATCOM Location on Distance Protection Relay

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Figure 5.5 is also from system simulation to show distance zone element pickup and tripping

intervals of two distance relays at both ends of a transmission line in the POTT scheme. It shows

how the POTT scheme works fast to clear the fault at the sending end when under-reaching

occurs. In the simulation, the fault begins at 0.2s and lasts for 0.5s. When the fault occurs, zone 1

at the sending end relay does not detect the fault; hence the Z1_PU is not picked up. The zone 2

of the same relay will trip the breaker with a pre-set time delay 0.35s. In the POTT scheme, zone

2 of the receiving end relay detects the fault instantly (R_Z2_PU is picked up) and sends the

permissive transfer trip to the sending end relay, then Z1_Trip picks up and the relay operates to

clear the fault in a very short time 0.05s. The time delay 0.05s shown between the dotted lines X

and O on the diagram is caused by the communication channel and telecom equipment response

time. The tripping of the distance relay, Z2_Trip, is obviously accelerated compared to the time

delay of 0.35s from zone 2.

Permissive Underreach Transfer Trip (PUTT)

(a) Permissive underreach scheme

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(b) Logic diagram

Figure 5.6 Permissive Under-reach Protection Scheme and Logic diagram

A PUTT scheme and its logic are shown in Figure 5.6. Similar to a POTT scheme, both ends of

the transmission line should have the matching distance relays installed. In this scheme, zone 1,

instead of zone 2, of the distance relay is utilized to initiate the permissive signals through

communication channel to the remote substation when there is a fault detected in the protection

zone. The distance relay at the remote end will open the breaker in the substation with the pickup

of its zone 2 protection and the received signal. For a fault shown in Fig. 5.6(a), zone 1 of the

distance relay at Sub 3 will pick up to trip the local breaker and at the same time to send a

permissive signal to the distance relay at Sub 2. At Sub 2, zone 2 of the distance relay trips the

local breaker after the “AND” operation on receipt of the transmitted signal. Zone 1 is normally

set to protect 85% of the transmission line (L23) and in this scheme it is chosen to send transfer

signals. For faults between one terminal (Sub 3) and the mid-point installed STATCOM, the

distance relay at this end (Sub 3) performs normally. At the remote end (Sub 2), zone 1 of the

distance relay will mis-operate as per the previous discussion. Zone 2 protection will pick up for

the fault as the setting of zone 2 is set to protect 120% of the transmission line. Then the fault

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99

will be cleared out in the system from both terminals. The PUTT scheme is suitable for long

transmission lines, but setting coordination is needed for zone 2 and zone 3 without any major

conflicts. The scheme can provide fast fault clearing for the full length of the protected line with

the STATCOM installed and make a reliable protection scheme in this application.

The outcome of a PUTT scheme in the simulation to verify the proper functionality of the

protection scheme in the power transmission system with a STATCOM installed at mid-point is

shown in Figures 5.7 through 5.9.

Figure 5.7 Measured impedance at the sending end for an ABC-G fault without STATCOM

-200 -100 0 100 200 300 400

0

100

200

300

+y

-y

-x +x

X Coordinate Y Coordinate

Rcircle2

Rcircle1

Rbc

Xcircle2

Xcircle1

Xbc

Page 112: Effect of STATCOM Location on Distance Protection Relay

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Figure 5.8 Measured impedance at the sending end for an ABC-G fault with STATCOM

Figure 5.9 Impedance measured by the receiving end relay for an ABC-G fault with STATCOM

-200 -100 0 100 200 300 400

0

100

200

300

+y

-y

-x +x

X Coordinate Y Coordinate

Rcircle2

Rcircle1

Rbc

Xcircle2

Xcircle1

Xbc

-300 -200 -100 0 100 200 300

0

100

200

300 +y

-y

-x +x

X Coordinate Y Coordinate

Ra2

Rb2

Rc2

Xa2

Xb2

Xc2

Page 113: Effect of STATCOM Location on Distance Protection Relay

The tripping trajectories for the distance relay at the sending end in the STATCOM-installed

transmission line system when a three-phase to ground fault (ABC-G) occurs at 75% of the line

from the power source 1 are shown in Figures 5.7 and 5.8. Figure 5.7 shows the relay correctly

detects the fault in zone 1 and zone 2 when there is no STATCOM installed in the system. The

under-reaching of the relay when the same fault occurs but with STATCOM connected at the

mid-point is shown in Figure 5.8. In this case, the detection of zone 1 on the fault is not reliable

due to the impedance of the STATCOM and most of the tripping curve falls into zone 2. Figure

5.9 shows the tripping trajectory of the distance relay at the receiving end with the STATCOM-

installed transmission line system when the same fault occurs. Both zone 1 and zone 2 of the

relay detect the fault correctly.

Figure 5.10 Timing for PUTT scheme

The distance zone elements pickup and tripping intervals of the two distance relays at both ends

of a transmission line in the PUTT scheme as obtained from the system simulation studies are

shown in Fig. 5.10. It shows how the PUTT scheme works fast to clear the fault at the sending

0: 0.000

0: 0.000

0: 0.000

0: 1.000

Z1_PU

Z2_PU

Z2_Trip

R_Z1_PU

101

Page 114: Effect of STATCOM Location on Distance Protection Relay

102

end when overreach occurs. In the simulation system, the fault begins at 0.2s of the timing and

lasts for 0.5s. When the fault occurs, the detections of both zone 1 and zone 2 at the sending end

relay is not reliable as the Z1_PU and Z2_PU picks up and drops off rapidly. In the PUTT

scheme, zone 1 of the receiving end relay detects the fault instantly (R_Z1_PU is picked up) and

sends the permissive transfer trip to the sending end relay, where Z2_Trip picks up and relay

operates to clear the fault in a very short time 0.05s. The time delay of 0.05s shown between the

dotted lines X and O on the diagram presents response time of the communication channel and

telecom equipment. As shown in the figure, the tripping of the distance relay at the sending end,

Z2_trip, is fast and reliable enough to clear the fault in the system.

5.1.2 Directional Comparison Blocking (DCB)

(a) DCB scheme

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(b) Logic diagram

Figure 5.11 Directional Comparison Blocking Protection Scheme and Logic diagram

DCB scheme and its logic are shown in Figure 5.11. The basic operation logic of the scheme is

that upon the receipt of a block signal from reverse zone protection at the remote end, the output

of the accelerated zone 2 protection of the local distance relay is blocked with proper setting to

prevent tripping of the local breaker [3].

For a fault shown in Figure 5.11, both zone 1 and zone 2 of the distance relay at Sub 3 will pick

up, and zone 1 will trip the local breaker instantaneously. There is an additional protection

covering reverse direction (towards Sub 4). This additional protection can be either directional

ground fault or normal distance protection. A status of the reverse zone protection is sent to the

remote terminal, Sub 2, as a blocking signal. At Sub 2, as discussed before, zone 1 is not reliable

for this fault but zone 2 can pick up and initiate a normal trip to the local breaker through a timer

T2. Meanwhile, the pickup of zone 2 also initiates a different timer T4, which is set much shorter

than T2. The output of T4 has an “AND” operation with the NOT receipt of the reserve zone

protection from terminal Sub3. If reverse zone protection at Sub 3 is not initiated, the output of

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distance zone 2 at Sub 2 is able to open the local breaker through T4. On the other hand, if the

reverse zone protection is initiated at Sub 3, it means that the fault is not on the protected line

(L23), and then the transfer signal will be sent to Sub 2 to block the distance zone 2 accelerated

outputs.

Coordination of settings for distance zone 2, zone 3 and reverse zone is needed in this scheme

[33]. The coverage of Zone 2 of a distance relay is set to reach beyond the remote terminal,

normally 120% of the protected transmission line (L23). The blocking functions in the scheme

are initiated to detect faults that are not on the protected line but the remote end (Sub 2) zone 2

can detect. Therefore, the reverse zone at local substation (Sub 3) has to be set to reach further

than the zone 2 of the remote end (Sub 2) distance relay in the same direction.

The DCB scheme can provide fast and reliable fault clearance for the full length of the protected

transmission line, including a line with a STATCOM installed at mid-point. The deficiencies of a

distance relay in the application, either underreach or overreach, can be overcome with this

scheme.

The outcome of a DCB scheme in the simulation studies carried out to verify the proper

functionality of the protection scheme in the power transmission system with a STATCOM

installed at mid-point is shown in Figure 5.12.

Page 117: Effect of STATCOM Location on Distance Protection Relay

105

Figure 5.12 Measured impedance for an ABC-G fault with STATCOM

The tripping trajectory for the distance relay at the sending end for a STATCOM-installed

transmission line system when a two-phase to ground fault (BC-G) occurs at 75% of the line

from the sending end, Sub 2, is shown in Figure 5.12. It can be observed from this figure that

zone 2 element of the distance relay is reliable while zone 1 protection is totally malfunctioned.

-200 -100 0 100 200 300 400

-100

0

100

200

300

+y

-y

-x +x

X Coordinate Y Coordinate

Rcircle1

Rbc

Rca

Xcircle1

Xbc

Xca

Page 118: Effect of STATCOM Location on Distance Protection Relay

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Figure 5.13 Trip timing for DCB scheme

Simulation results given in Figure 5.13 show how the DCB scheme on L23 works to clear the

fault at the sending end (Sub 2) and to eliminate the mis-operation of the distance relay when the

two-phase to ground fault (BC-G) occurs at 75% of the line from Sub 2. In the simulation system,

the fault begins at 0.2s and lasts for 0.5s. The diagram presents distance zone elements

pickup/tripping intervals of the distance relay at the sending end, Sub 2, of the transmission line.

When the fault occurs, the zone 2 element is very reliable and picks up instantly. In the DCB

scheme, reverse distance protection at the receiving end does not detect the fault (REV_PU is 0)

and sends the permissive transfer to the sending end relay, where Z2_T4 is asserted after a short

time delay (0.15s) to initiate the output of the relay, Trip, to clear the fault. The time delay

caused by the communication channel and telecom equipment response time is covered by the

time delay on Z2_T4. As shown in the figure, the accelerated tripping (Trip) of zone 2 of the

Page 119: Effect of STATCOM Location on Distance Protection Relay

107

distance relay at the sending end is fast and reliable enough to clear the system fault in this DCB

scheme.

Figure 5.14 Block timing for DCB scheme

A case when the same fault (BC-G) is on the transmission line between Sub 3 and Sub 4, the

distance relay at Sub 2, is shown in Figure 5.14. The reverse direction protection at Sub 3 is

picked up (REV_PU=1) and transferred to Sub 2 to block the output of timer Z2_T4 at this

sending end. The zone 2 of the relay at Sub 2 can detect the fault and will clear the fault with the

normal time delay 0.35s. This time is shown between X and O in the diagram. Normally, there is

a distance relay installed at Sub 3 to protect the transmission line L34, the zone 1 of this relay

will open the breaker instantaneously to clear the fault. DCB scheme installed on L23 in this case

provides a solid backup protection for a fault out of its zone.

Page 120: Effect of STATCOM Location on Distance Protection Relay

108

5.2 Line Current Differential

(a) Line differential current scheme

(b) Logic diagram

Figure 5.15 Line Differential Current Protection Scheme and Logic diagram

A line current differential scheme and its logic are shown in Figure 5.15. In the pilot scheme,

matching relays are needed at both ends for a true current differential measurement [3][4]. The

information compared can be either the phase angle or the magnitude of the currents from both

terminals of the transmission line. The internal faults are determined by the current differential

scheme when the current difference between the terminals is bigger than the set value. On a two-

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109

terminal transmission line with a STATCOM installed, the scheme can operate on all the internal

faults between the two terminals and protect 100% of the transmission line. The scheme only

relies on currents to operate and does not need voltage inputs. Therefore, it is not affected by any

power system contingencies that cause the system voltage problems. Normally it is only used on

a short line with a big cost on telecommunication equipment [34]. A transmission line with a

STATCOM installed should be a long line that needs compensation, so the line current

differential scheme can work in this case but it is not the best choice to replace the distance

scheme.

5.3 Concluding Remarks

Different communication-aided protection schemes to improve the performance of the traditional

step distance relays in the case where a two-terminal transmission line is midpoint-compensated

using a STATCOM are discussed in this chapter. From the analysis and the system simulations,

it can be concluded that PUTT, with transfer permissive signals, is the best scheme for

application. DCB works well with the transferred block logic on zone 2 to clear the faults on the

line with which the distance zone1 has problems. A line current differential scheme is able to

protect all the internal faults on the line where there is a STATCOM. It is possible to replace the

distance relay but with a large communication equipment cost.

Page 122: Effect of STATCOM Location on Distance Protection Relay

110

Chapter Six: Conclusions

6.1 Thesis Summary

The impact of a shunt connected FACTS device, the STATCOM, in a power transmission

system is investigated in terms of impedance protection. In particular, the impedance measured

by the distance relay protecting a transmission line compensated by a STATCOM is studied. A

model for a transmission line including a STATCOM and a distance protection scheme is built in

the PSCAD environment, in which various system fault conditions together with three

STATCOM installation locations are simulated. The Mho tripping characteristic of the distance

relay is analyzed in various contingent conditions. Both analysis and simulation results show that

the STATCOM installation location has a significant influence on the performance of the

distance relay. If the STATCOM is connected at the mid-point of the line, presence of the

STATCOM in the transmission line can cause malfunction of the distance relay. If the

STATCOM is installed at the sending end of the transmission line, the measured impedance of

the distance relay is not affected. In the cases when the STATCOM is installed at the receiving

end, the distance relay functions well with minimum errors. Voltage settings of the STATCOM

also are considered in the studies. However, no effect on the measured impedance of the distance

relay is detected when the voltage settings of the STATCOM are changed.

In order to overcome the mis-operation of the distance relay in the transmission line system, and

make the distance scheme operational and reliable when the transmission line is shunt

compensated using STATCOM, some communication-aided protection schemes are discussed.

Studies with different proposed schemes, including PUTT, POTT and DCB, are also conducted.

These pilot protection schemes are proved to be effective for fast clearance of the faults on the

Page 123: Effect of STATCOM Location on Distance Protection Relay

111

transmission line and satisfy the basic requirement for protection speed and accuracy, regardless

of STATCOM installation location.

6.2 Discussion

A summary of the performance of a distance relay on a transmission line, where a shunt

STATCOM is connected at various installation points and the transmission system is exposed to

various fault conditions is presented in Section 6.1. In most applications the STATCOM is

installed at the mid-point of the transmission line and this configuration is discussed in more

detail.

It can be concluded from the results of simulation studies and analysis in this thesis that the

conventional distance relay cannot work well for a mid-point shunt STATCOM compensated

transmission line. Further details are given below:

1) The shunt connected STATCOM affect the protection zones, not only zone 1 on

compensated line, but also zone 2 or zone 3 of a distance relay on the nearby

transmission line.

2) When a distance relay acts as the main protection device for a high voltage transmission

line, communication-aided pilot protection schemes should be applied to eliminate the

malfunction of the distance relay.

3) In the communication-aided protection schemes, PUTT, POTT and DCB, can be utilized

to make fast and accurate protection of the transmission line compensated with a

STATCOM.

4) The voltage settings of the STATCOM, the fault type and fault resistance have little

influence on the impedance measurement of distance relay.

Page 124: Effect of STATCOM Location on Distance Protection Relay

112

5) The distance relay is functional when a STATCOM is installed at the receiving end of the

transmission line, even though the relay tripping characteristics have minor errors (but

they are acceptable errors).

6) No detrimental effects are observed for the distance relay tripping characteristics when

the STATCOM is installed at transmission line sending end.

7) A transmission line current differential protection scheme can also ensure reliable

protection of the line compensated by a STATCOM but at a high cost. However, it is not

the best option to replace a distance scheme in the application considered in the thesis.

6.3 Future work

In the future, two approaches, i.e. pilot scheme and adaptive setting, should be investigated to

improve the performance of distance protection scheme for application to a transmission line

shunt compensated with a STATCOM, as briefly outlined below.

1. Communication-aided Distance Protection Schemes

a. These schemes rely on telecom technology and equipment to achieve protective

function, reliability and tripping latency.

b. With the development of telecom technology and new communication media,

other forms of pilot scheme depending on the Transfer Trip or Transfer Block

logic could be developed. Distance protection in the new scheme even could be

investigated with solid state logic and reliable equipment.

c. The transmission line differential scheme can be further improved if current

readings can be made available in the STATCOM switching yard.

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113

2. Adaptive Distance Setting

Adaptive protection setting zones in the distance scheme could be utilized to mitigate the

miss-operation of a distance relay. Some adaptive distance settings in the conventional

relay are proposed to change the protective zones so as to cover the over-reach/under-

reach effect of the measured impedance caused by the STATCOM. New distance

protection can combine the information of the currents and breaker/switch status from the

STATCOM switching yard to make a setting group change or update algorithm for

accurate fault detection.

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References

[1] Paul M. Anderson, Power System Protection. Volume 4 of IEEE Press Power

Engineering Series, 1998, pp. 379

[2] N G Hingorani and L Gyugyi. Understanding FACTS: Concepts and Technology of

Flexible AC Transmission Systems, IEEE Press, 2000, Chapter 5

[3] IEEE Guide for Protective Relay Applications to Transmission Lines," IEEE Std

C37.113-1999 , 2000

[4] Stanley H. Horowitz & Arun G. Phadke, Power System Relaying, Third Edition, John

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