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ÇUKUROVA UNIVERSITY INSTITUTE OF NATURAL AND APPLIED SCIENCES MSc THESIS Mustafa İNCİ MODELING AND ANALYSIS OF MULTILEVEL INVERTER BASED DYNAMIC VOLTAGE RESTORER WITH DC-DC CONVERTER DEPARTMENT OF ELECTRICAL AND ELECTRONICS ENGINEERING ADANA, 2013

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ÇUKUROVA UNIVERSITY INSTITUTE OF NATURAL AND APPLIED SCIENCES

MSc THESIS

Mustafa İNCİ

MODELING AND ANALYSIS OF MULTILEVEL INVERTER BASED DYNAMIC VOLTAGE RESTORER WITH DC-DC CONVERTER

DEPARTMENT OF ELECTRICAL AND ELECTRONICS ENGINEERING

ADANA, 2013

ÇUKUROVA UNIVERSITY INSTITUTE OF NATURAL AND APPLIED SCIENCES

MODELING AND ANALYSIS OF MULTILEVEL INVERTER BASED

DYNAMIC VOLTAGE RESTORER WITH DC-DC CONVERTER

Mustafa İNCİ

MSc THESIS DEPARTMENT OF ELECTRICAL AND ELECTRONICS ENGINEERING We certify that the thesis titled above was reviewed and approved for the award of degree of the Master of Science by the board of jury on 27/06/2013. ……………….................................. ………………................ …………………...................... Assoc. Prof. Dr. K. Çağatay BAYINDIR SUPERVISOR

Prof. Dr. Mehmet TÜMAY MEMBER

Assoc.Prof. Dr. Ramazan ÇOBAN MEMBER

This MSc Thesis is written at the Department of Institute of Natural And Applied Sciences of Çukurova University. Registration Number:

Prof. Dr. Mustafa GÖK Director Institute of Natural and Applied Sciences

This thesis was supported by the Scientific Research Project Unit of Çukurova University for my thesis (Project Number: MMF2012YL23). Note: The usage of the presented specific declerations, tables, figures, and photographs either in this

thesis or in any other reference without citiation is subject to "The law of Arts and Intellectual Products" number of 5846 of Turkish Republic.

I

ABSTRACT

MSc THESIS

MODELING AND ANALYSIS OF MULTILEVEL INVERTER BASED DYNAMIC VOLTAGE RESTORER WITH DC-DC CONVERTER

Mustafa İNCİ

ÇUKUROVA UNIVERSITY

INSTITUTE OF NATURAL AND APPLIED SCIENCES DEPARTMENT OF ELECTRICAL AND ELECTRONICS ENGINEERING

Supervisor : Assoc. Prof. Dr. K. Çağatay BAYINDIR Year : 2013, Pages 126

Jury : Assoc. Prof. Dr. K. Çağatay BAYINDIR : Prof. Dr. Mehmet TÜMAY : Assoc. Dr. Ramazan ÇOBAN

Voltage, current, frequency deviations and waveform distortions that causes

equipment failure, economical loss and several negative effects are known as power quality problems. Among the power quality problems, voltage sags and swells are the most significant disturbances. The dynamic voltage restorer (DVR) is the most effective and economical custom power device applied to protect sensitive loads from voltage sags and swells.

In this thesis, dynamic voltage restorer with dc-dc converter is modeled in PSCAD/EMTDC. DC-DC converter is used to maintain and control the dc voltage of the inverter during voltage sag. The developed topology permits to use in medium power systems. Multilevel inverter is used to allow high power-handling than the two-level inverter. EPLL, SRF and SOGI-PLL is used to detect and extract the voltage sag and swell. SOGI-PLL is a new method to extract voltage magnitude and phase angle simultaneously. The comparison results of EPLL, SRF and SOGI-PLL are presented in thesis. The performance of DVR is evaluated through simulations for compensation of balanced and unbalanced voltage sags.

The main purpose of this thesis is analyzing and modeling of DVR, which protects a 1-MVA nonlinear load. The performance results of the proposed topology are presented with different cases by PSCAD/EMTDC program.

Keywords: Dynamic Voltage Restorer, Voltage Sag and swell, Power Quality, DC-

DC Converter, Multilevel Inverter

II

ÖZ

YÜKSEK LİSANS TEZİ

DA-DA DÖNÜŞTÜRÜCÜLÜ ÇOK SEVİYELİ EVİRİCİ TABANLI DİNAMİK GERİLİM İYİLEŞTİRİCİNİN MODELLENMESİ VE ANALİZİ

Mustafa İNCİ

ÇUKUROVA ÜNİVERSİTESİ FEN BİLİMLERİ ENSTİTÜSÜ

ELEKTRİK ELEKTRONİK MÜHENDİSLİĞİ ANABİLİM DALI

Danışman : Doç. Dr. K. Çağatay BAYINDIR

Yıl: 2013, Sayfa 126 Jüri : Doç. Dr. K. Çağatay BAYINDIR

: Prof. Dr. Mehmet TÜMAY : Doç. Dr. Ramazan ÇOBAN

Ekipman bozulmaları, ekonomik kayıp ve çeşitli negatif etkilere sebep olan

gerilim, akım ve frekans sapmaları ve dalga şeklindeki bozulmalar güç kalitesi problemleri olarak bilinir. Gerilim düşmeleri ve yükselmeleri, güç kalitesi problemleri içinde en önemli bozukluklardır. Dinamik gerilim iyileştirici hassas ve lineer olmayan yükleri gerilim düşme ve yükselmelerinden korumak için en etkili ve ekonomik özel güç cihazıdır.

Bu tez çalışmasında, da-da dönüştürücülü dinamik gerilim iyileştiricinin PSCAD/EMTDC’de modellemesi yapılmıştır. Da-da dönüştürücü gerilim düşmesi esnasında eviricinin da geriliminin kontrolü ve korunması için kullanılır. Amaçlanan topoloji orta güç sistemlerde kullanıma izin vermektedir. İki seviyeli topolojilere gore daha yüksek güçlerde çalışma imkanı verdiği için çok seviyeli evirici kullanılmıştır. Gerilim düşme ve yükselmelerini sezmek ve tespit etmek amacı ile EPLL, SRF ve SOGI-PLL kullanılmıştır. Tezde; EPLL, SRF ve SOGI-PLL metodlarının karşılaştırma sonuçları yer almaktadır. Dengeli ve dengesiz gerilim düşmelerini gidermek için DGİ’nin performansı simülasyon çalışmaları ile değerlendirilmiştir.

Bu tezin temel amacı, 1 MVA’lık doğrusal olmayan yükü koruyan DGİ’nin analiz, modellenmesidir. Amaçlanan topolojinin performans sonuçları farklı durumlar için PSCAD/EMTDC programı ile sunulmuştur. Anahtar Kelimeler: Dinamik Gerilim İyileştirici, Gerilim Düşme ve Yükselmeleri,

Güç Kalitesi, DA-DA Dönüştürücü, Çok Seviyeli Evirici

III

ACKNOWLEDGEMENTS

First and foremost I want to thank my supervisor, Assoc. Prof. Dr. K. Çağatay

BAYINDIR. I appreciate all his contributions of time, ideas, and funding to make my

MSc. Thesis.

I am also grateful to Prof. Dr. Mehmet TUMAY, head of the Department, for

his help and support during my study.

I owe special thanks to Adnan TAN, Tahsin KÖROĞLU and Tuğçe

DEMİRDELEN for his companionship and cooperation during my study.

I would like also to thank and acknowledge the financial supported by

Scientific Research Project Unit of Çukurova University for my thesis (Project

Number: MMF2012YL23)

I would like to thank to Fatih Elihoş, Ahmet Baykara, M. Selim AYGEN and

all of my friends for everything. Lastly, I would like to thank my family for all their

love and encouragement.

Mustafa İNCİ

IV

CONTENTS PAGES

ABSTRACT .................................................................................................................. I

ÖZ ................................................................................................................................ II

ACKNOWLEDGEMENTS ....................................................................................... III

CONTENTS ............................................................................................................... IV

LIST OF TABLES .................................................................................................. VIII

LIST OF FIGURES .................................................................................................... X

LIST OF SYMBOLS .............................................................................................. XIV

LIST OF ABBREVATIONS .................................................................................. XVI

1. INTRODUCTION .................................................................................................... 1

1.1. Background ....................................................................................................... 1

1.2. DVR .................................................................................................................. 1

1.3. Outline of Thesis............................................................................................... 3

2. POWER QUALITY ................................................................................................. 5

2.1. Sources and Effects of Power Quality Problems .............................................. 6

2.2. Power Quality Problems ................................................................................... 6

2.2.1. Voltage Sag ............................................................................................ 8

2.2.2. Voltage Swell ......................................................................................... 8

2.2.3. Voltage Fluctuations .............................................................................. 8

2.2.4. Harmonics .............................................................................................. 9

2.2.5. Interharmonics........................................................................................ 9

2.2.6. Transients ............................................................................................. 10

2.2.7. Interruption ........................................................................................... 10

2.3. Power Quality Standards ................................................................................. 11

2.4. Solutions to Power Quality Problems .............................................................. 11

3. FUNDAMENTALS OF DVR ................................................................................ 13

3.1. Introduction..................................................................................................... 13

3.2. Power Circuit and Topologies ........................................................................ 13

3.2.1. Operation of DVR ................................................................................ 15

3.2.2. Use of Converters in DVR ................................................................... 17

V

3.2.2.1. Inverters .................................................................................. 17

3.2.2.2. Rectifier .................................................................................. 19

3.2.2.3. DC-DC Converters ................................................................. 21

3.2.2.4. AC-AC Converters ................................................................. 22

3.2.3. Energy Storage ..................................................................................... 23

3.2.4. Injection Transformer........................................................................... 24

3.2.5. Filter ..................................................................................................... 27

3.3. Control of DVR ............................................................................................... 31

3.3.1. Sag/swell detection............................................................................... 31

3.3.2. Operation Mode ................................................................................... 31

3.3.2.1. Protection Mode ..................................................................... 32

3.3.2.2. Standby Mode ......................................................................... 32

3.3.2.3. Injection Mode ........................................................................ 33

3.3.3. Voltage Injection Strategies ................................................................. 33

3.3.3.1. Pre-sag compensation ............................................................. 34

3.3.3.2. In-phase compensation ........................................................... 34

3.3.3.3. Phase advance compensation .................................................. 35

3.3.4. Reference Voltage Generation ............................................................. 36

3.3.5. Voltage Control Methods ..................................................................... 37

3.3.5.1. Open Loop .............................................................................. 37

3.3.5.2. Closed Loop ............................................................................ 40

3.3.6. Gate Signal Generation ........................................................................ 42

4. MODELING OF PROPOSED DVR ...................................................................... 45

4.1. Design of Grid and Load ................................................................................. 45

4.2. Power Circuit Design of DVR Components ................................................... 46

4.2.1. Design of Inverter Circuit .................................................................... 47

4.2.2. Design of Inverter Filter ....................................................................... 50

4.2.3. Design of DC-DC Converter ................................................................ 55

4.3. Control System ................................................................................................ 59

4.3.1. Sag Detection ....................................................................................... 60

4.3.1.1. Enhanced Phase Locked Loop (EPLL) .................................. 60

VI

4.3.1.2. Synchronous Reference Frame (SRF) .................................... 64

4.3.1.3. SOGI-PLL .............................................................................. 67

4.3.1.4. Reference Generation Using Sag Detection Methods ............ 69

4.3.2. Voltage Injection Strategy.................................................................... 71

4.3.3. Voltage Control Strategy: Closed Loop ............................................... 76

4.3.4. Gate Signal Generation ........................................................................ 78

4.3.4.1. Inverter .................................................................................... 79

4.3.4.2. DC-DC Converter ................................................................... 80

5. SIMULATION RESULTS AND CASE STUDIES .............................................. 83

5.1. Comparison of Sag Detection Methods (EPLL, SRF and SogiPLL) .............. 85

5.2. Simulation Results for Open Loop and Closed Loop ...................................... 88

5.2.1. Open Loop Voltage Control Method ................................................... 88

5.2.1.1. Case 1: Single Phase Voltage Sag .......................................... 89

5.2.1.2. Case 2: Two Phase Voltage Sag ............................................. 91

5.2.1.3. Case 3: Three Phase Voltage Sag ........................................... 94

5.2.2. Closed Loop Voltage Control Method ................................................. 97

5.2.2.1. Case 4: Single Phase Voltage Sag .......................................... 98

5.2.2.2. Case 5: Two Phase Voltage Sag ........................................... 100

5.2.2.3. Case 6: Three Phase Voltage Sag ......................................... 103

5.2.3. Comparison of Voltage Control Methods .......................................... 106

6. CONCLUSION .................................................................................................... 109

REFERENCES ......................................................................................................... 112

BIOGRAPHY .......................................................................................................... 121

APPENDIX .............................................................................................................. 122

VII

VIII

LIST OF TABLES PAGES

Table 2.1. Typical characteristics of voltage disturbances ........................................ 11

Table 4.1. Grid and load parameters of proposed system .......................................... 46

Table 4.2. Switch states of five level diode clamped inverter ................................... 49

Table 5.1. PSCAD/EMTDC Simulation Parameters ................................................. 84

Table 5.2. System Parameters .................................................................................... 84

Table 5.3. Simulated Load Parameters ...................................................................... 84

Table 5.4. Simulation parameters of Voltage Source Inverter ................................... 84

Table 5.5. Simulation parameters of Full Bridge DC-DC Converter ........................ 85

Table 5.6. Injection Transformer Parameters ............................................................. 85

Table 5.7. Sag inception and finish time for three methods....................................... 87

Table 5.8. Comparison and RMS values of phase voltages in open loop and

closed loop control method ................................................................... 107

IX

X

LIST OF FIGURES PAGES

Figure 1.1. DVR structure (Vilathgamuwa et al, 2002) ............................................... 2

Figure 2.1. Basic disturbances: (a) Causes at customer side, (b) Causes

at utility side and (c) Affected equipment (Köroğlu,2012) ..................... 7

Figure 2.2. Percentage occurrences of PQ disturbances in equipment

interruptions (Köroğlu,2012) .................................................................. 7

Figure 3.1. The Basic Structure of Dynamic Voltage Restorer (Vilathgamuwa et

al, 2002) ................................................................................................... 14

Figure 3.2. DVR connected in a medium voltage level power system ...................... 16

Figure 3.3. H-Bridge Inverter..................................................................................... 18

Figure 3.4. DVR with no energy storage and supply-side-connected rectifier .......... 20

Figure 3.5. DVR with no energy storage and load-side-connected rectifier .............. 20

Figure 3.6. Location of a DC-DC Converter in a DVR ............................................. 21

Figure 3.7. System-level requirements for DVR with ac/ac converter. ..................... 22

Figure 3.8. (a), (b) and (c) Equivalent circuit of system shown in Figure 3.1 ........... 26

Figure 3.9. Location of inverter-side and line-side filters in DVR ............................ 28

Figure 3.10. Inverter-side filter in DVR..................................................................... 29

Figure 3.11. Scheme of the protection mode ............................................................. 32

Figure 3.12. Scheme of the standby mode ................................................................. 32

Figure 3.13. Vector diagram of pre-sag compensation .............................................. 34

Figure 3.14. Vector diagram of in-phase compensation ............................................ 35

Figure 3.15. Phasor diagram of the phase advance compensation method ................ 36

Figure 3.16. Open Loop Control Method .................................................................. 37

Figure 3.17. Block diagram representation of DVR system with open-

loop controller(Vilathgamuwa et al., 2002) .......................................... 38

Figure 3.18. Block diagram representation of DVR system with closed

loop controller(Vilathgamuwa et al., 2002). ......................................... 40

Figure 4.1. The proposed multilevel inverter based DVR structure with full

bridge DC-DC Converter ........................................................................ 45

Figure 4.2. Three-phase uncontrolled six pulse rectifier............................................ 46

Figure 4.3. Single phase symmetrical five level diode clamped inverter .................. 47

XI

Figure 4.4. Equivalent Circuit for Inverter Side Filter ............................................... 50

Figure 4.5. Block Diagram of Single Phase PWM-VSI............................................. 51

Figure 4.6. The Frequency Response of the Inverter Side Connected Filter ............. 53

Figure 4.7. Phase Plot of the Inverter Side Connected Filter ..................................... 54

Figure 4.8. Circuit diagram of full bridge DC–DC Converter ................................... 55

Figure 4.9. Timing diagram and basic waveforms for isolated full-bridge

dc-dc converter ........................................................................................ 56

Figure 4.10. Structure of Enhanced Phase Locked Loop ........................................... 61

Figure 4.11. Conventional SRF based detection ........................................................ 65

Figure 4.12. Proposed SRF based phase detection (a) Phase A,

(b) Phase B, (c) Phase C .................................................................... 66

Figure 4.13. Block diagram of the orthogonal signals generator based on

SOGI-PLL ............................................................................................. 68

Figure 4.14. Block diagram of proposed method based on EPLL, SRF and

SOGIPLL(Köroğlu,2012) ..................................................................... 69

Figure 4.15. (a) Busbar, (b) magnitude(sag depth) and (c) sag detection signals ..... 70

Figure 4.16 Phasor diagram of Pre-Sag Compensation methods ............................... 71

Figure 4.17. Conventional phase freezer unit(Köroğlu,2012) ................................... 72

Figure 4.18. Phasor subtraction .................................................................................. 73

Figure 4.19. Flow chart of proposed phase freezing (Köroğlu, 2012) ....................... 74

Figure 4.20. Block diagram of the phase freezing in DVR control ........................... 75

Figure 4.21. Reference voltages generated with In-Phase and Pre-Sag methods ...... 75

Figure 4.22. Proposed multiloop control method....................................................... 77

Figure 4.23. Comparison of Closed Loop and Open Loop in proposed DVR ........... 78

Figure 4.24. Generation of gate signals for each multilevel five level diode clamped

inverter .................................................................................................. 79

Figure 4.25. The flow chart of DC-DC Controller..................................................... 80

Figure 4.26. Carrier and reference signals generated by PI controller....................... 81

Figure 4.27. Generation of gate signals for full bridge dc-dc converter .................... 82

Figure 5.1. PSCAD/EMTDC model of proposed DVR System ................................ 83

Figure 5.2. (a) Source side busbar voltages, (b) Voltage sag inception time and (c)

Magnitude information for three sag detection methods ........................ 86

XII

Figure 5.3. Injected voltages by using three sag detection methods .......................... 87

Figure 5.4. Source side voltages by using EPLL, SRF and SogiPLL methods ......... 88

Figure 5.5. Simulation results for Case 1 ................................................................... 89

Figure 5.6. DC link voltage for Case 1 ..................................................................... 90

Figure 5.7. RMS Characterisics for Case 1 ................................................................ 91

Figure 5.8. Simulation results for Case 2 ................................................................... 92

Figure 5.9. DC link voltage for Case 2 ...................................................................... 93

Figure 5.10. RMS characteristics for Case 2.............................................................. 94

Figure 5.11. Simulation results for Case 3 ................................................................. 95

Figure 5.12. DC link voltage for Case 3 .................................................................... 96

Figure 5.13. RMS characteristics for Case 3............................................................. 97

Figure 5.14. Simulation results for Case 4 ................................................................. 98

Figure 5.15. DC link voltage for Case 4 .................................................................... 99

Figure 5.16. RMS characterisics for Case 4 ............................................................. 100

Figure 5.17. Simulation results for Case 5 ............................................................... 101

Figure 5.18. DC link voltage for Case 5 .................................................................. 102

Figure 5.19. RMS characteristics for Case 5............................................................ 103

Figure 5.20. Simulation results for Case 6 ............................................................... 104

Figure 5.21. DC link voltage for Case 6 .................................................................. 105

Figure 5.22. RMS characteristics for Case 6............................................................ 106

XIII

XIV

LIST OF SYMBOLS

DCC : DC Link Capacitor Value

fC : Filter Capacitor Value

: Injection Transformer Rating

)( te : Difference of input and synchronized fundamental components of

Enhanced Phase Locked Loop

0f : Cut-off frequency

sf : Switching frequency

Idc : DC link Capacitor Current

sI : Source-Side Current

LI : Load-Side Current

ctifierIRe : Rectifier Current

iK : Turns ratio of the injection transformer

fL : Filtre Inductor Value

am : Modulation index

ms : Miliseconds

n : Order of harmonics

PN : Primary Winding of Transformer

SN : Secondary Winding of Transformer

depthS : Voltage Sag/Swell depth

cS : Volt Amperes Rating of DC Link Capacitor

)( tu : Input signal of Enhanced Phase Locked Loop

Vcappi : Error between Actual and Reference Values of DC link Capacitor

Voltage

Vcap,ref : DC link Capacitor Voltage Reference Value

Vdclink : DC link Capacitor Voltage

Vd : D Component of SRF Transform

XV

Vdc,ref : DC Link Reference Value

Vq : Q Component of SRF Transform

Vl : Calculated Line Value

Vpresag : Calculated Presag Value

Vdclink,min : Minimum Value of DC link Capacitor Voltage

inphaseerrorV , : The magnitude of the injected voltage with In-Phase Compensation

presagerrorV , : The magnitude of the injected voltage with Pre-Sag Compensation

outputV : Output Voltage of hybrid cascade diode clamped inverter

filterV : Output voltage of LC Filter

injV : Injected Voltage by DVR

invV : Output voltage of the PWM inverter

)( ninvV : nth order harmonic voltages on the input of inverter

LV : Load Voltage

( )noV : nth order harmonic voltages on the output of inverter

pV : Voltage on the high voltage side of the injection transformer

sagV : Magnitude of Sagged Voltage

sourceV : Source Voltage

)( ty : Synchronized fundamental component of EPLL

)( tω∆ : Frequency deviation of EPLL

)( tθ : The phase angle of Synchronized fundamental component of EPLL

inphaseerror ,θ : The angle of the injected voltage with In-Phase Compensation

sagθ : Phase angle of Sagged Voltage

presagerror ,θ : The angle of the injected voltage with Pre-Sag Compensation

θpresag : Pre-Sag Angle

δVload : Phase information of System Voltage

μ : Micro

: Degree

XVI

LIST OF ABBREVATIONS

A : Amper

AC : Alternating Current

APF : Active Power Filter

ASD : Adjustable Speed Drives

CP : Custom Power

D : Duty

DVR : Dynamic Voltage Restorer

dB : deciBel

DC : Direct Current

EMI : Electro Magnetic Interference

EPLL : Enhanced Phase Locked Loop

FC : Flying Capacitor

FFT : Fast Fourier Transform

FT : Fourier Transform

HV : High Voltage

Hz : Hertz

IEC : International Electrotechnical Commission

IEEE : International Electrical Electronics Engineering

IGBT : Insulated Gate Bipolar Transistor

IRPT : Instantaneous Reactive Power Theory

LPF : Low Pass Filter

LL : Line-to-Line

MV : Medium Voltage

MVA : Mega Volt Amperes

NPC : Neutral Point Clamped

PAC : Phase AdvanceCompensation

PCC : Point of Common Coupling

PD : Phase Detector

PI : Proportional-Integrator

XVII

PLL : Phase Locked Loop

PQ : Power Quality

PU : Per Unit

PSCAD/EMTDC : Power System Computer Aided Design /

Electromagnetic Transient DC Program

PU : Per Unit

PWM : Pulse Width Modulation

RDFT : Recursive Discrete Fourier Transform

RMS : Root Mean Square

SLGF : Single Line to Ground Fault

SOGI-PLL : Second Order Generalized Integrator Phase Locked

Loop

SPWM : Sinusoidal Pulse Width Modulation

SMES : Superconducting Magnetic Energy Source

SMPS : Switched Mode Power Supplies

SRF : Synchronous Reference Frame

STS : Static Transfer Switch

THD : Total Harmonic Distortion

UPS : Uninterruptible Power Supply

V : Volts

VA : Volt Amperes

VCO : Voltage Conrol Oscillator

VSC : Voltage Source Converter

VSI : Voltage Source Inverter

1. INTRODUCTION Mustafa İNCİ

1

1. INTRODUCTION

The study in this thesis consists of the design and control of Dynamic Voltage

Restorer in medium power systems. The content and aim of study is provided

comprehensively below.

1.1. Background

Electrical power quality become an important issue because of the change in

the characteristics of loads connected to power system due to development of

technology and increase in electricity demand. Voltage, current, frequency deviations

and waveform distortions that cause equipment failure, economical loss and several

negative effects are known as power quality problems.

The most severe power quality problems in electrical systems are called as

voltage sag and swell. Voltage sag is known as short duration reductions in the rms

voltage. Another problem, voltage swell is defined as an increase in the rms voltage.

Several custom power devices such as UPS, DVR, static series compensator etc.

have been improved to solve these problems. Among these several custom power

devices, Dynamic Voltage Restorer (DVR) is an effective solution to solve these

power quality problems.

1.2. DVR

The dynamic voltage restorer (DVR) is the most effective and economical

custom power device applied to protect sensitive loads from voltage sags and swells.

Dynamic voltage restorer is a series connected device located between sensitive load

and grid in system, it both detects voltage sags/swell problems and injects controlled

voltage to system. To perform this process, a conventional DVR consists of inverter,

dc-link capacitor, filter and transformer which will be extensively explained in thesis.

1. INTRODUCTION Mustafa İNCİ

2

Figure 1.1. DVR structure (Vilathgamuwa et al, 2002)

A schematic diagram of the DVR incorporated into a distribution network is

shown in Figure 1.1. SV is the source voltage, 1V is the incoming supply voltage

before compensation, 2V is the load voltage after compensation, dvrV is the series

injected voltage of the DVR, and I is the line current. The restorer typically consists

of an injection transformer, the secondary winding of which is connected in series

with the distribution line, a voltage-source PWM bridge inverter is connected to the

primary of the injection transformer and an energy storage device is connected at the

dc-link of the inverter bridge. The inverter bridge is filtered in order to mitigate the

switching frequency harmonics generated in the inverter. The injection of an

appropriate dvrV in the face of an up-stream voltage disturbance requires a certain

amount of real and reactive power supply from the DVR. It is quite usual for the real

power requirement of the DVR be provided by the energy storage device in the form

of a battery, a capacitor bank, or a flywheel. The reactive power requirement is

generated by the inverter. (Vilathgamuwa et al, 2003).

1. INTRODUCTION Mustafa İNCİ

3

1.3. Outline of Thesis

The thesis consists of the following chapters:

After this first chapter, in Chapter 2 Power Quality Problems; Sources and

effects of power quality problems, power quality problems and their explanation,

Power Quality Standards and solution of power quality problems are explained.

Chapter 3 The Fundamentals of DVR gives an overview of available DVR

system, the function of converters in power circuit configuration, filter and

transformer design. It also includes control methods in available literature.

The power circuit design of multilevel inverter based DVR components, sag

detection methods, voltage injection strategies used in proposed DVR are explained

in Chapter 4 Modeling of Proposed DVR.

Simulation results which consist of comparison of sag/swell detection

methods, voltage injection strategies (presag, in-phase) and voltage control strategies

are given in Chapter 5 Simulation Results and Case Studies. Also, this chapter

includes analysis of full bridge dc-dc converter for voltage sag compensation.

1. INTRODUCTION Mustafa İNCİ

4

2. POWER QUALITY Mustafa İNCİ

5

2. POWER QUALITY

The term “Power Quality” is defined as “Set of parameters defining the

properties of power quality as delivered to the user in normal operating conditions

in terms of continuity of supply and characteristics of voltage (symmetry,

frequency, magnitude, waveform) in IEC. In IEEE Std. 1100-1 999, “Power Quality”

is defined as “The concept of powering and grounding electronic equipment in a

manner that is suitable to the operation of that equipment in a manner that is suitable

to the operation of that equipment and compatible with the premise wiring system

and other connected equipment (Ise et al., 2000).

Power Quality just meant the ability of utilities to provide electric power

without interruption. However, in recent years, power quality becomes an important

concern to customers as well as utilities and facilities. Customers require higher

quality of power than ever before due to the increase in critical load and electronic

device. Power quality is different from reliability in view of the duration of events it

deals with. It treats very short events with a few cycles or seconds duration. New

power quality problems such as sag, swell, harmonic distortion, unbalance, transient,

and flicker may impact on customer devices, causes malfunctions and cost on lost

production and downtime. These problems should be measured and assessed more

accurately than before (Won et al., 2003).

Recently, an increased number of sensitive loads have been integrated into

the electrical power systems. Consequently, the demand for high power quality and

voltage stability has increased significantly (Meyer et al., 2008). Some basic

criterions for power quality are constant rms value, constant frequency, symmetrical

three-phases, pure sinusoidal wave shape and limited THD. These values should be

kept between limits determined by standards if the power quality level is considered

to be high. Power quality covers several types of problems of electrical supply

and power system disturbances. The cost of power interruptions and disturbances

can be quite high as a result of the important processes controlled and maintained

by the sensitive devices (Dong et al., 2004). Sources and effects of power quality

problems can be summarized as follows in 2.1.

2. POWER QUALITY Mustafa İNCİ

6

2.1. Sources and Effects of Power Quality Problems

Power distribution systems, ideally, should provide their customers with an

uninterrupted flow of energy at smooth sinusoidal voltage at the contracted

magnitude level and frequency. However, in practice, power systems, especially the

distribution systems, have numerous nonlinear loads, which significantly affect the

quality of power supplies. As a result of the nonlinear loads, the purity of the

waveform of supplies is lost. This ends up producing power quality problems (Jena).

The distortion in the quality of supply power can be occurred because of various

devices; some of the primary sources of distortion can be identified as below:

§ Power Electronic Devices

§ IT and Office Equipments

§ Arcing Devices

§ Load Switching

§ Large Motor Starting

§ Embedded Generation

§ Electromagnetic Radiations and Cables

§ Storm and Environment Related Causes etc.

The growth of the nonlinear loads like the devices with switching power

supplies have increased the current harmonics, EMI problems, unnecessary reactive

power and power losses which causes distortion, harmonics, flicker phenomena, sag

and swell conditions on the line voltages and other problems (Hosseini et al., 2006).

2.2. Power Quality Problems

The importance of power quality (PQ) has risen very considerably over the

last two decades due to a marked increase in the number of equipment which is

sensitive to adverse PQ environments, the disturbances introduced by nonlinear

loads, and the proliferation of renewable energy sources, among others. At least 50%

2. POWER QUALITY Mustafa İNCİ

7

of all PQ disturbances are of the voltage quality type, where the interest is the study

of any deviation of the voltage waveform from its ideal form. The best well-known

disturbances are voltage sags and swells, harmonic and interharmonic voltages, and,

for three-phase systems, voltage imbalances (Roncero-Sanchez et al., 2009).

A number of national and local surveys helped to quantify the statistical

aspects of this problem. The most common disturbances and the most commonly

affected equipments are illustrated in Figure 2.1 (Emanuel et al., 1997).

Figure 2.1. Basic disturbances: (a) Causes at customer side, (b) Causes at

utility side and (c) Affected equipment (Köroğlu,2012)

Another survey result is given in Figure 2.2 which shows the percentage

occurrences of PQ disturbances in equipment interruptions (Köroğlu , 2012).

Figure 2.2. Percentage occurrences of PQ disturbances in equipment interruptions

(Köroğlu,2012)

2. POWER QUALITY Mustafa İNCİ

8

2.2.1. Voltage Sag

Voltage sags are now one of the most important power quality problems in

the distribution system. A voltage sag is a momentary decrease in the RMS ac

voltage (10%–90% of the nominal voltage), at the power frequency, of duration from

0.5 cycles to a few seconds. Voltage sags are normally caused by short-circuit faults

such as a single-line-to-ground fault in the power system or by the starting up of

induction motors of large rating. Voltage sags may cause the malfunction of voltage-

sensitive loads in factories, buildings, and hospitals (Kangarlu et al., 2010).

Voltage sags can cause tripping of contactors, motor starters, relays, restarting

expense of computers and shutdown of an entire production line. The sources of

voltage sags are basically faults on adjacent feeders, lighting, short circuit event, start

up of heavy loads, transformer energizing and motor starting (Bollen, 2001).

2.2.2. Voltage Swell

Voltage swell is defined as a short duration increasing in RMS supply with

increase in voltage ranging from 1.1 pu to 1.8 pu of nominal supply. The main causes

for voltage swell are switching of large capacitors or removal of heavy loads

(Kangarlu et al., 2010).

Voltage swells might not be as common as voltage sags, however are much

more harmful and disruptive to static power converters. In fact, they may severely

damage or trip them, causing shutdowns of entire processes. This overall situation

has become even more critical given the recent industrial trend to increase operating

voltages of power converters (a practice that has pushed semiconductor devices up to

their limit. A closer look to this phenomenon is, hence, required (Burgos et al.,

2005).

2.2.3. Voltage Fluctuations

2. POWER QUALITY Mustafa İNCİ

9

Voltage fluctuations are systematic variations of the voltage envelope or a

series of random voltage changes. Arc furnaces are the most common cause of

voltage fluctuations on the transmission and distribution system (Martinez, 1998).

The voltage fluctuation is one of the major power quality problems in a weak power

system, which feeds fluctuating loads, such as electric arc furnaces and arc welders.

In general, the flicker components exhibit frequencies in the range 0.1 Hz to 30 Hz

and are especially important due to visual irritation. Many reports indicate that a

small voltage fluctuation from 0.3% to 0.5% in the frequency range of 6-10 Hz will

cause visible incandescent lamp flickering and let people feel uncomfortable (Wu et

al., 2006).

2.2.4. Harmonics

Harmonics can be defined as the spectral components at frequencies

that are integer multiples of the ac system fundamental frequency (Testa et al.,

2007). The harmonic voltage and current distortion are strongly linked with

each other because harmonic voltage distortion is mainly due to non-sinusoidal

load currents. Current harmonic distortion requires overrating of series components

like transformers and cables. As the series resistance increases with frequency, a

distorted current will cause more losses than a sinusoidal current of the same rms

value (Bollen, 2001).

2.2.5. Interharmonics

Interharmonics are spectral components at frequencies that are not integer

multiples of the system fundamental frequency. Interharmonics can be observed

in an increasing number of loads in addition to harmonics. The main sources of

interharmonics are static frequency converters, cycloconverters, high voltage direct

current(HVDC) transmission systems, induction motors, welding machines, arc

furnaces, and all loads not pulsating synchronously with the fundamental power

system frequency (Tayjasanant et al., 2005;Yacamini, 1996)

2. POWER QUALITY Mustafa İNCİ

10

2.2.6. Transients

A transient is “that part of the change in a variable that disappears

during transition from one steady state operating condition to another”. Another

word in common usage that is often considered synonymous with transient is

“surge” (Dugan et al, 2003). Transients can be be classified into two categories:

“impulsive” and “oscillatory”:

§ Impulsive transients: Sudden, non-power frequency change in the steady

state condition of the voltage, current or both

§ Oscillatory transients: Voltage or current whose instantaneous value

changes polarity rapidly.

2.2.7. Interruption

In the European standard EN 50160 two terms are used (Nielsen et al., 2002):

§ Long interruptions: longer than three minutes.

§ Short interruptions: up to three minutes.

Interruptions are typically caused by different types of faults e.g. malfunction

of protection equipment or lightning. In a system without redundancy a fault often

leads to a long interruption, which requires manual intervention. Short interruptions

are often caused by automatic reclosing after a fault. Short interruptions below three

minutes are normally considered a voltage quality problem. Interruptions are a severe

power quality problem, but in a wide range of industrial countries interruptions occur

very rare, because of redundancy and high maintenance of the grid (Nielsen et al.,

2002).

2. POWER QUALITY Mustafa İNCİ

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2.3. Power Quality Standards

The specific characteristics of supply voltage have been defined in

standards, which are used to determine the level of quality with reference to:

frequency, voltage level, wave shape and symmetry of the three-phase voltage

(Mofty et al., 2001). The IEEE 519-1992 and IEEE 1159-1995 describe the

compatibility level required by equipment connected to the network, as well as

the limits of emissions from the devices (IEEE Std. 519, 1992; IEEE Std.1159,

1995). The characteristic properties of disturbances are shown in Table 2.1.

Table 2.1. Typical characteristics of voltage disturbances Disturbance

Type

Typical Voltage

Magnitude

Typical Duration

Sag 0.1-0.9 pu 0.5-30 cycle

Swell 1.1-1.8 pu 0.5-30 cycle

Flicker 0-1 % Steady state

Interruption <0.1 pu 0.5 cycle-3 s

Imbalance 0.5-3 % Steady state

Harmonics 5 % Steady state

2.4. Solutions to Power Quality Problems

There are two approaches to mitigate power quality problems. The solution to

the power quality can be done from customer side or from utility side; first

approach is called load conditioning, which ensures that the equipment is less

sensitive to power disturbances, allowing the operation even under significant

voltage distortion. The other solution is to install line conditioning systems that

suppress or counteract the power system disturbances. Currently they are based on

PWM converters and connect to low and medium voltage distribution system in

shunt or in series. Some of the effective and economic measures can be identified as

following (Madhusudan et al., 2012)

2. POWER QUALITY Mustafa İNCİ

12

§ Lightning and surge arresters

§ Thyristor Based Static Switches

§ Energy Storage Systems

§ Electronic tap changing transformer

§ Harmonic Filter

3. FUNDAMENTALS OF DVR Mustafa İNCİ

13

3. FUNDAMENTALS OF DVR

3.1. Introduction

Among the power quality problems, voltage sags and swells are the most

significant disturbances. In order to overcome these problems, power electronic

converter based custom power devices are introduced recently. Inside of these

devices, the dynamic voltage restorer is the most efficient and economical device to

protect sensitive loads from voltage sags and swells.

3.2. Power Circuit and Topologies

DVR is a series connected device located between sensitive load and grid in

system, it both detects voltage sag/swell problems and injects controlled voltage to

system. Additionally, it can be used for harmonics compensation and transient

reduction in voltage and fault current limitations in available literature. To perform

these processes, DVR injects a controlled voltage in series with the supply voltage in

phase via injection transformer to restore the power quality.

The basic structure of a conventional DVR is shown in Figure 3.1. It can be

divided into four categories: inverter, dc-link capacitor, filter and injection

transformer. An inverter system is used to convert dc storage into ac form. Passive

filter is responsible for eliminating the unwanted harmonic components generated in

inverter. In this way, it converts inverter pwm output to sinusoidal waveform.

Another component, energy storage unit such as batteries, supercapacitors, SMES

etc. is used to provide energy requirement in DC form. Lastly, transformer injects

controlled voltage and provides isolation between load and the system.

3. FUNDAMENTALS OF DVR Mustafa İNCİ

14

Inverter

Energy Storage

LoadVs

Cf

If

LfFilter

I

1:nVdvr

I

V

I

Injection Transformer

Figure 3.1. The Basic Structure of Dynamic Voltage Restorer (Vilathgamuwa et al,

2002)

Basic principal of DVR is to transfer the voltage sag compensation value

from DC side of the inverter to the injected transformer after filter. The

compensation capacity of a particular DVR depends on the maximum voltage

injection capability and the active power that can be supplied by the DVR. When

DVR’s voltage disturbance occurs, active power or energy should be injected from

DVR to the distribution system. A DC system, which is connected to the inverter

input, contains a large capacitor for storage energy. It provides reactive power to the

load during faulty conditions. When the energy is drawn from the energy storage

capacitors, the capacitor terminal voltage decrease. Therefore, there is a minimum

voltage required below which the inverter of the DVR cannot generate the require

voltage thus, size and rating of capacitor is very important for DVR power circuit.

The DC capacitor value for a three phase system can be derived. The most important

advantage of these capacitors is the capability to supply high current pulses

repeatedly for hundreds of thousands of cycles. Selection of capacitor rating is

discussed on the basis of RMS value of a capacitor current, rated voltage of a

capacitor and VA rating of the capacitor (Tiwari et al., 2010).

3. FUNDAMENTALS OF DVR Mustafa İNCİ

15

3.2.1. Operation of DVR

Dynamic voltage restorers (DVRs) are considered effective custom power

devices for mitigating the impacts of upstream voltage disturbances on sensitive

loads. The disturbances include voltage distortions and/or sudden changes in load-

terminal voltage, in the form of sags or swells. By injecting a compensating voltage

in series with the sensitive load terminal voltage during the disturbances, a DVR can

maintain the load voltage at the desired amplitude and waveform. In the course of the

compensation, however, a DVR will inevitably inject (absorb) a certain amount of

active power to (from) the external system. The amount of the power exchange will

dictate the severity of the sag/swell that can be ridden through by the load and the

rating of the energy storage device required to undertake the task. In fact, by

choosing an appropriate amplitude and phase angle of the DVR output injection

voltage, one can control the injected/absorbed power such that compensation with

zero or minimum power injection can be realised. This means either the minimum

power-rating energy storage device can be incorporated into the design or the

maximum load ride-through can be achieved with the given energy-storage capacity

(Li et al., 2007).

The intention is only to protect one consumer or a group of consumers with

value added power. Applying a DVR in the medium or low voltage distribution

system would often be possible and a radial grid structure is the only type of system

considered here. In Europe three wire systems are common in the medium voltage

systems and four wires in low voltage systems. In both systems the main purpose is

to inject synchronous voltages during symmetrical faults and in some cases inject an

inverse voltage component during non-symmetrical faults (Oğuz et al., 2004). A

typical DVR connected system circuit at medium voltage (MV) distribution network

is shown in Figure 3.2. The DVR essentially consists of a series connected injection

transformer, a voltage source inverter (VSI), inverter output filter and an energy

storage device connected to the dc link. The high voltage (HV) power system

upstream to the DVR is represented by an equivalent voltage source which is

transformed to MV level by a step-down transformer. The basic operation principle

3. FUNDAMENTALS OF DVR Mustafa İNCİ

16

of the DVR is to inject an appropriate voltage in series with the supply through

injection transformer when a PCC voltage sag is detected. MV loads or low voltage

(LV) loads connected downstream after another step-down transformer are thus

protected from the PCC voltage sag (Li et al., 2007).

Figure 3.2. DVR connected in a medium voltage level power system

Implemented at medium voltage level, the DVR can be used for high power

applications or to protect a group of MV or LV consumers who would expect

reduced costs per MVA by operating at MV level. But this implementation at

medium voltage level also subjects the DVR to more frequent faults in the

downstream load side. Large fault currents will flow through the DVR during a

downstream fault before the opening of a circuit breaker. This large fault current will

cause PCC voltage drop, which would affect the MV or LV loads on the other

feeders connected to PCC (Figure 3.2). Furthermore, if not controlled properly, DVR

might also contribute to the PCC voltage sag in the process of compensating the

missing voltage, thus further worsening the fault situation. During downstream

faults, passive control methods are often used to protect the DVR by enabling a

bypass circuit (usually a slow mechanical bypass together with a fast solid-state

switch), while allowing a large fault current to flow which could cause PCC voltage

to drop. Compared to the passive protection of DVR, active control of DVR during a

downstream fault makes the additional protection circuits unnecessary and the

implementation easy. But the disadvantage is the requirement of higher

compensation capacity from the DVR (Li et al., 2007).

3. FUNDAMENTALS OF DVR Mustafa İNCİ

17

3.2.2. Use of Converters in DVR

Numerous circuit topologies which are used for different functions are

available for the DVR. These are: inverters, rectifiers, AC-AC converters and DC-

DC converters.

3.2.2.1. Inverters

The most common inverter topologies are the two- or three-level three-phase

converter where the dc-side capacitor(s) is connected alternately to all ac phases. The

purpose of this capacitor is to mainly absorb harmonic ripple and, hence, it has a

relatively small energy storage requirement, particularly when operating in balanced

conditions. The size of this capacitor has to be increased, if needed, to provide

voltage support in unbalanced conditions. Also, since the capacitor is shared between

the three phases, sag on only one phase may cause a distortion in the injected current

waveforms on the other phases (Al-Hadidi et al., 2008).

Another popular converter topology is the H-bridge cascade inverter. A single

phase of this converter is shown in Figure 3.3. Converters with this topology are

suitable in power systems applications due to their ability to synthesize waveforms

with reduced lower order harmonics and to attain higher voltages with a limited

maximum device rating. The principal of operation for this topology is that each

capacitor can be connected by means of the insulated-gate bipolar transistor (IGBT)

switches so that its voltage contributes positively or negatively or not at all to the

output waveform. This makes the control more complex in comparison with

conventional two- or three-level converters. However, in contrast to such

conventional topologies, the multilevel offers the following significant advantages

(Al-Hadidi et al., 2008).

1) Modularized circuit layout and packaging are possible because each level

has the same structure. Increasing or reducing the number of modules permits the

converter to be designed for any arbitrary voltage level in a straightforward manner.

3. FUNDAMENTALS OF DVR Mustafa İNCİ

18

This also allows for the removal of the series transformer, thereby reducing size and

cost.

2) Each bridge can be controlled independently permitting efficient single-

phase voltage compensation.

3) The aspect of particular interest in this paper is the inherent energy storage

capability of the capacitors which makes this topology ideal for the transient

injection of real power. It is true that the H-bridge cascade topology requires larger

capacitors due to second harmonics ripple on the capacitors, which could be seen as a

disadvantage in comparison with traditional two- or three-level three-phase

converters. However, the larger capacitors also provide additional energy storage

capability which, if exploited, could turn this disadvantage into an advantage. The

principle contribution of this paper is to devise a new control method that exploits

the inherent stored energy of the capacitors in the most efficient manner to prolong

the duration over which large unbalanced sags can be compensated (Al-Hadidi et al.,

2008).

Figure 3.3. H-Bridge Inverter

A multilevel converter was proposed to increase the converter operation

voltage, avoiding the series connection of switching elements. However, the

multilevel converter is complex to form the output voltage and requires too many

back-connection diodes or flying capacitors (Han et al., 2006).

For higher power applications, power-electronic devices are usually

connected to the medium-voltage (MV) grid and the use of two-level voltage

3. FUNDAMENTALS OF DVR Mustafa İNCİ

19

converters becomes difficult to justify owing to the high voltages that the switches

must block (Roncero-Sánchez et al., 2009).

One solution is to use multilevel voltage-source converters which allow high

power-handling capability with lower harmonic distortion and lower switching

power losses than the two-level converter (Roncero-Sánchez et al., 2009).

Among the different topologies of multilevel converters, the most popular

are: neutral-point-clamped converters (NPC), flying-capacitor converters (FC), and

cascaded-multimodular H-bridge converters. NPC converters require clamping

diodes and are prone to voltage imbalances in their dc capacitors. The H-bridge

converter limitations are the large number of individual inverters and the number of

isolated dc voltage sources required. The main drawback of FC converters is that the

number of capacitors increases with the number of levels in the output voltage.

However, they offer more flexibility in the choice of switching combinations,

allowing more control of the voltage balance in the dc capacitors. Furthermore, the

extension of a converter to a higher level one, beyond three levels, is easier in FC

converters than in NPC converters, which makes the FC topology more attractive

(Roncero-Sánchez et al., 2009).

3.2.2.2. Rectifier

AC to DC converter is used to convert AC into DC form. The topology used

in dynamic voltage restorer is diode rectifier. Installation of a diode-bridge rectifier

circuitry to the DVR provides an economical means for the dc-link to negotiate

active power. Unfortunately, this DVR configuration only allows unidirectional

power flow from the diode-bridge rectifier circuitry to the inverter. When swell or

overvoltage occurs in the power distribution lines, the conventional in-phase and

phase-invariant voltage injection schemes cause inverters to absorb active power

from the lines, which charges up the dc storage capacitors and increases their voltage

levels. Excess dc-link voltage rise will damage the dc storage capacitors and

switching devices. Moreover, the rise in dc-link voltage will nonlinearly increase

switching loss and lowers the DVR’s system efficiency (Lam et al., 2008).

3. FUNDAMENTALS OF DVR Mustafa İNCİ

20

Figure 3.4. DVR with no energy storage and supply-side-connected rectifier

Figure 3.5. DVR with no energy storage and load-side-connected rectifier

The following significant difference exists in operation between rectifiers in

Figs. 3.4 and 3.5 during the occurrence of voltage sags. In Figure 3.4, a voltage drop

appears at the source side or at the ac terminals of the rectifier. As a result, the

rectifier losses its rectification capability when the maximal source voltage gets

lower than the dc-link voltage. Therefore, the series converter requires a large dc

capacitor as an energy-storage element intended for feeding electric dc power to the

series converter (Jimichi et al., 2008).

On the other hand, no voltage drop appears at the load side or at the ac

terminals of the rectifier in Figure 3.5, because the series converter compensates for

voltage sags. This makes it possible to keep the rectifier active in regulating the dc-

link voltage, even for the duration of voltage sags. In this case, the electric power

required for voltage-sag compensation comes from the rectifier to the series

converter. In other words, the dc capacitor does not play any role in feeding the

electric power required for compensation to the series converter. Thus, the DVR in

3. FUNDAMENTALS OF DVR Mustafa İNCİ

21

Figure 3.5. can continue operating properly, independent of the long or short duration

of voltage sags (Jimichi et al., 2008).

3.2.2.3. DC-DC Converters

A DC-DC converter is an electronic circuit to convert a source of DC voltage

from one level to another level. Additionally, the battery voltage declines as its

stored power is drained. Switched DC to DC converters offer a method to increase

voltage from a partially lowered battery voltage thereby saving space instead of

using multiple batteries to accomplish the same thing and it regulates the DC voltage

(Ramasamy et al., 2011).

Figure 3.6. Location of a DC-DC Converter in a DVR

Figure 3.6 shows the location of a DC-DC Converter in a DVR. The main

function of the dc-to-dc converter is to maintain and control the dc voltage of the

inverter during voltage sag. This configuration allows the DVR to compensate deep

and long duration voltage sags and swells (Jowder et al., 2009).

3. FUNDAMENTALS OF DVR Mustafa İNCİ

22

3.2.2.4. AC-AC Converters

It is appropriate to use an AC-AC converter instead of an inverter in the

topology of a Dynamic Voltage Restorer eliminating energy storage devices. Most of

available DVR studies deal with three-phase converter topologies and require energy

storage units to compensate voltage sags and swells. The main purpose of AC-AC

Converter is to directly convert ac voltage to controlled ac voltage without any extra

energy storage units.

Figure 3.7. System-level requirements for DVR with ac/ac converter.

New series power conditioners are proposed based on direct ac–ac z-source,

boost, buck–boost, and matrix converter topology. These topologies directly convert

ac voltage to regulated ac voltage without any intermediate converters (Subramanian

et al., 2010). An ac–ac converter is proposed in (Venkataramanan et al., 1996, Perez

et al., 2006) that compensate the voltage sag using an ac chopper without storage

devices. But in this scheme, all the load power is handled by the compensator

resulting in an increased size, cost, and loss. In all these ac–ac topologies, the voltage

correction in a particular phase is provided using the converters connected to the

same phase. But the logic of correcting the sag by drawing power from the affected

3. FUNDAMENTALS OF DVR Mustafa İNCİ

23

phase itself further worsens the severity of the sag. Additionally, these schemes

cannot provide phase correction, as sags are generally accompanied by phase jumps

(Subramanian et al., 2010).

3.2.3. Energy Storage

Energy storage is required to provide real power to the load when large

voltage sags take place. Examples of energy storage are lead-acid batteries, flywheel,

superconducting magnetic energy storage (SMES), etc. For SMES, batteries and

capacitors, which are dc devices, solid-state inverters are used in the power

conversion system to accept and deliver power. For flywheels, which have rotating

components, ac-to-ac conversion is performed. The energy storage devices used for

this study are lead-acid batteries. Batteries provide rapid response for either charge or

discharge, but the discharge rate is limited by chemical reaction rates so that the

available energy depends on the discharge rate. Generally, the DVR has several

operating states (Zhan et al., 2001).

1) When a voltage sag/swell occurs on the line, the DVR responds by

injecting three single-phase voltages in synchronism with the network voltages. Each

phase of the injected voltages can be controlled independently or together in

magnitude and phase. The DVR draws active power from batteries and supplies this

together with reactive power to the load (Zhan et al., 2001).

2) When the voltage supply is operating under normal conditions, the DVR

operates in a standby mode if the battery is fully charged; or the DVR operates in the

self-charging control mode if the batteries need to be recharged (Zhan et al., 2001).

3) In the event of a fault or short circuit downstream, the DVR (specifically,

the VSI) must be protected against overcurrent flowing through the power

semiconductor switches. The rating of the DVR inverters is the limiting factor for

normal load current seen in the primary windings and reflected in the secondary

windings of the series insertion transformer. For line currents exceeding the inverter

rating, a bypass scheme is incorporated to protect the power electronics (Zhan et al.,

2001).

3. FUNDAMENTALS OF DVR Mustafa İNCİ

24

3.2.4. Injection Transformer

The main purpose of the injection transformer is to boost the voltage supplied

by the filtered VSC output to the desired level while isolating the Series

Compensator circuit from the distribution network (Perera et al., 2006). The

injection transformers not only reduce the voltage requirement of the inverters,

but also provide isolation (Ghosh et al., 2002). In addition, the injection

transformer is a special purpose transformer that has the ability to limit the

coupling of noise and transient energy from the primary side to the secondary

side (Zhan et al., 2001).

The MVA rating is determined by using power calculation equation by

(3.1) and (3.2). DVRV is the primary voltage of the injection transformer and max,DVRV

is the voltage rating of injection transformer.

loaddvrratingVA IVDVR =, (3.1)

load

ratingVAdvr I

DVRV ,

max, = (3.2)

By using (3.1) and (3.2), the depth of voltage sag which can be compensated

is calculated in (3.3)

source

dvrpusag V

VV max,

, = 10 , ≤≤ pusagV (3.3)

During a voltage sag compensation, the load voltage is maintained at 1 p.u.

The maximum DVR injected voltage (defined by the DVR VA rating) is

puI

DVRV

load

ratingVADVR 4.0

1.04.0,

max, === (3.4)

3. FUNDAMENTALS OF DVR Mustafa İNCİ

25

This is more than the DVR voltage rating (0.5p.u.), therefore the device is

voltage limited i.e. puVDVR 5.0max, = . The lower limit of the retained supply=0.9p.u.–

0.4p.u.=0.5 p.u. (Ramachandaramurthy et al., 2004).

The equivalent circuit of the conventional DVR shown in Figure 3.1 is

illustrated using Figure 3.8. From Figure 3.1, it is quite clear that the voltage on the

load side of the DVR is given by

DVRSL VVV += (3.5)

i f

f

s s p p

invMfilter DVR S

L

Load

(a)

Ri Lf

Cf

Rs Ls R Lp pn2 n2 n2

n2

n2

Vinvn ZMVfiltern

filter transformer

VDVR VS

VL

Load

(b)

3. FUNDAMENTALS OF DVR Mustafa İNCİ

26

Load

(c)

Figure 3.8. (a), (b) and (c) Equivalent circuit of system shown in Figure 3.1

By using equivalent circuit, the injected voltage can be written as

filtereqeq

MDVR nV

LjRZV

ω+= (3.6)

The relationship between and can be expressed as

( ) fiff

invinv

fif

f

LiC

Cfilter CjRCL

VVLjR

Cj

CjZRZ

ZVωωω

ω

ω+−

=++

=++

= 211

1

(3.7)

By using (3.6) and (3.7), can be rearranged in (3.8) and (3.9)

( ) fiff

inv

eqeq

MDVR CRjCL

VLjR

ZnVωωω +−+

= 21

( ) ( )[ ] invfiffeqeq

M VCRjCLLjR

Znωωω +−+

= 21 (3.8)

invDVR NVV =

(3.9)

3. FUNDAMENTALS OF DVR Mustafa İNCİ

27

In (3.10), actual voltage ratio between and can be explained

( ) ( )[ ]fiffeqeq

M

CRjCLLjRZnN

ωωω +−+= 21

(3.10)

When the source voltage varies, is maintained by the injection voltage

from the DVR. As effective DVR voltage sag periods, the load current LI will

be maintained constant. Considering that the magnetization impedance MZ of the

series transformer is much larger than the transformer is much larger than the

transformer series resistance and leakage reactance, it can be concluded that the

voltage drop pV∆ caused by the transformer is ( ) Leqeqp ILjRV ω+=∆ , where

speq RnRR 2+= , speq LnLL 2+= . The magnitude of the voltage drop is

( ) Leqeqp ILjRV ω+=∆ . Clearly, pV∆ will contribute toward a reduction in the load

voltage. Also the associated active power loss due to the transformer 2Leq IR exists at

all time. Hence to reduce the voltage drop and power loss due to the transformer it is

desirable that its short-circuit impedance eqeq LjR ω+ is kept as low as possible. This

means a more costly transformer (Li et al., 2002).

3.2.5. Filter

The semiconductor switching devices are used in wide variety of industrial

loads. The non-linear characteristics of semiconductor devices cause distorted

waveforms associated with harmonics. To overcome this problem and providing

clean electrical supply filter unit is used (Choi et al., 2002; Li et al., 2001). The

purpose of any of the filtering schemes is for the attenuation of the high-order

harmonics due to the inverter switching (Choi et al, 2000). Two filtering methods are

presented in literature: line side and inverter side.

3. FUNDAMENTALS OF DVR Mustafa İNCİ

28

V

CL

Inverter Side Filter

VLine LineT

T

C

Inverter

Cdc

Line Side Filter

Figure 3.9. Location of inverter-side and line-side filters in DVR

The advantage of the inverter side filter is that it is on the low-voltage side of

the series transformer and is close to the harmonic source. Using this scheme, high-

order harmonic currents will be prevented from penetrating into the series

transformer. However, when the DVR acts as a source, the introduction of the filter

inductor may cause voltage drop and phase-angle shift in fundamental component

of the inverter output. Moreover, as the DVR is a series device, the inductor may also

cause a drop in the distribution system supply voltage. Moreover, as the DVR is a

series device, the inductor may also cause a drop in the distribution system supply

voltage. While the line-side filtering scheme can avoid these difficulties, there are

also problems associated with the scheme. As the filter is located on the high

voltage-side of the series transformer, the high-order harmonic currents will

penetrate into the series transformer, thus necessitates a higher rating on the

transformer. The common problem facing these two filtering schemes is that the

filter capacitor will cause an increase in the inverter rating. Thus the minimization of

the effect of the filter on the inverter rating must be considered in the design process

(Choi et al., 2000).

The transfer function of inverter side LC filter shown in Figure 3.10 can be

expressed as:

3. FUNDAMENTALS OF DVR Mustafa İNCİ

29

22

2

2 2/1//1

fffffff

ff

inv

load

ssf

CLLsRsCL

VV

ωωξω

++=

++= (3.11)

Figure 3.10. Inverter-side filter in DVR

From (3.11), and can be written in (3.12):

,2 f

fff L

CR=ξ

fff LC

1=ω (3.12)

The resistance fR is a sum of the series resistance of the filter inductor fL

and the equivalent resistance of the inverter switches. For a given filter cutoff

frequency fω , infinite combinations of the filter inductance and the filter capacitance

are possible. When the proportion of ff LC / is designed large, the filter damping

coefficient fξ can be increased, and the disturbance rejection against the load

current may be also increased. However, the inverter current may contain high

ripples which results in larger inverter size. Therefore, the proportion of ff LC / has

certain limitation (Kim et al., 2004).

Figure 3.10 shows the single line equivalent circuit of inverter side LC filter

in DVR. invV and loadV represents the voltage on the output of inverter and load. LZ

is equivalent impedance in section of load and its equivalent value is LL LjR ω+ .

3. FUNDAMENTALS OF DVR Mustafa İNCİ

30

The basic principle behind the design of the filter is to provide a shunt path

for the harmonic current and a series impedance to carry the harmonic voltages. To

achieve this goal, the capacitor should be chosen to satisfy (Choi, et al., 2002):

,)()( mCffmLoad ZKZ = 1>>fK (3.13)

Where ( )CmjZ mcf 0)( / ω−>> and 000 ,2 ffπω = , represents the fundamental

frequency, and is the order of the lowest harmonics to be attenuated. From Figure

3.10, let )(ninvV and )(nLV represent the respective nth order harmonic voltages on the

inverter and load-side of the L-C filter and n=m,m+1,m+2,m+,,,,,M. M is the order of

the highest harmonics to be attenuated. By using (3.13), we can obtain the following

relationship:

)()()( ninvnnload VKV = (3.14)

Where ( )( )1/1 20)( −= LCnK n ω . Thus,

( ) CnK

L n2

0

)(

11

ω

+= (3.15)

From (3.13), it is obvious that for a given loadZ , C is directly proportional to

fK . Thus, a suitable value for C can be obtained by the selection of an appropriate

value for fK . Furthermore, (3.14) means that, in order to reduce the nth order

harmonic voltage with rms value from )(ninvV to )(nloadV , the inductor of the filter can

be chosen according to (3.15) once the capacitor value C is given and )(nK is chosen

according to (3.14). Indeed, it will be shown in the next section that the voltage

3. FUNDAMENTALS OF DVR Mustafa İNCİ

31

harmonic distortions on the load-side of the DVR can be reduced to a permissible

level with a properly selected value of )(nK , where n=m(Choi, et al., 2002).

3.3. Control of DVR

The main purpose of the control system is to maintain a constant voltage

magnitude at the side where a sensitive load is connected, under sag/swell

conditions. The control strategy is a fairly critical issue in DVR. All control

strategies consist of five stages which are called as sag/swell detection, operation

mode, voltage injection strategy, reference voltage generation and gate signal

generation.

3.3.1. Sag/swell detection

In control strategy, for the calculation of reference signals to achieve voltage

sag/swell compensation, instantaneous voltage signals need to be measured.

Instrumentation transformers and Hall-effect sensors are used to measure the voltage

signals in system. Then, these measured signals are used to generate the reference

signals for sag/swell compensation.

3.3.2. Operation Mode

The phase angle and amplitude of the injected voltage are variable

during sag. This will allow the control of active and reactive power exchange

between the DVR and the distribution system. Generally , the operation of the

DVR can be categorized into three operation mode: protection mode, standby

mode (during steady state) and injection mode (during sag) (Teke, 2005).

3. FUNDAMENTALS OF DVR Mustafa İNCİ

32

3.3.2.1. Protection Mode

If the current on the load side exceeds a permissible limit due to a short

circuit on the load or large inrush current, the DVR will be isolated from the systems

by using the bypass switches as shown in Figure 3.11, S2 and S3 will open and S1

will be closed to provide an alternative path for the load current (Shazly et al., 2013).

Figure 3.11. Scheme of the protection mode

3.3.2.2. Standby Mode

In the standby mode, the injection transformer’s secondary winding is shorted

through the converter. The structure of standby mode is shown in Figure 3.12. This

mode is preferred in steady-state conditions due to the voltage drops born of

transformer reactance.

Figure 3.12. Scheme of the standby mode

3. FUNDAMENTALS OF DVR Mustafa İNCİ

33

If the distribution circuit is weak there is need to inject small compensation

voltage to operate correctly. During short circuit operation, the injected voltages and

magnetic fluxes are virtually zero thereby full load current pass through the primary.

The DVR will be most of the time in normal mode operation. During standby mode

normal operation), the short circuit impedance of the injection transformer

determines the voltage drop across the DVR (Teke, 2005).

3.3.2.3. Injection Mode

The primary function of Dynamic Voltage Restorer is compensating voltage

disturbances on distribution system. To achieve compensation, three single-phase ac

voltages are injected in series with required magnitude, phase and wave shape. The

types of voltage sags, load conditions and power rating of DVR will determine the

possibility of compensating voltage sag (Teke, 2005).

3.3.3. Voltage Injection Strategies

The way in which the dynamic voltage restorer (DVR) is used during the

voltage injection mode depends upon several limiting factors such as: DVR power

rating, load conditions, and voltage-sag type. For example, some loads are sensitive

to phase-angel jumps, some others are sensitive to a change in voltage magnitude and

some others are tolerant to all these disturbances. Therefore the control strategies to

be applied depend upon the load characteristics (Shazly et al., 2013). There are four

different methods of DVR voltage injection strategies:

§ Pre-sag compensation

§ In-phase compensation

§ In-phase advanced compensation

3. FUNDAMENTALS OF DVR Mustafa İNCİ

34

3.3.3.1. Pre-sag compensation

The pre-sag compensation method tracks supply voltage continuously load

voltage during a fault to restore the pre-fault condition. Figure 3.13 shows the single-

phase vector diagram of the pre-sag compensation. In this method, the load voltage

can be restored ideally, but injected active power cannot be controlled and is

determined by external conditions such as the type of faults and load condition (Quirl

et al., 2006).

Figure 3.13. Vector diagram of pre-sag compensation

3.3.3.2. In-phase compensation

As already mentioned, the pre-sag compensation does not lead to a minimized

voltage amplitude. This can be realized with the in-phase strategy, which is designed

to control the DVR with a minimum output voltage. In Figure 3.14, the voltages for

this strategy are depicted. In contrast to the pre-sag version, the voltage is now

compensated in phase to the grid voltage after the sag. Hence, the required voltage

amplitude is minimized, but the phase jump is not compensated (Meyer et al., 2008).

3. FUNDAMENTALS OF DVR Mustafa İNCİ

35

Figure 3.14. Vector diagram of in-phase compensation

In most cases, a voltage sag leads to a phase jump, therefore the distortions

due to phase changes are not minimized. As a consequence, a phase jump will be

applied to at the load, leading to transients and circulating currents. Thus, if a

sensitive load must be secured, the in-phase compensation cannot be used, be-cause

it could lead to the tripping of sensitive loads. Note that, to realize this strategy, the

PLL has to be synchronized to the grid voltage itself, and therefore, must not be

locked to the pre-sag grid voltage during the compensation (Meyer et al., 2008).

3.3.3.3. Phase advance compensation

In this method the real power spent by DVR is minimized by decreasing the

power angle between the sag voltage and the load current. In the two previous cases,

namely pre -sag and in-phase compensation, active power is injected into the system

by the DVR during disturbances. Moreover, the active power supplied is limited to

the stored energy in the DC link and this part is one of the most expensive parts of

the DVR. The minimization of injected energy is achieved by making the injection

voltage phasor perpendicular to the load current phasor (Shazly et al., 2013).

3. FUNDAMENTALS OF DVR Mustafa İNCİ

36

Figure 3.15. Phasor diagram of the phase advance compensation method

In this method the values of load current and voltage are fixed in the system

so one can change only the phase of the sag voltage. In short, PAC method uses only

reactive power and unfortunately, not all the sags can be mitigated without real

power, as a consequence, this method is only suitable for a limited sag range (Shazly

et al., 2013).

3.3.4. Reference Voltage Generation

Reference signals are generated using time domain and frequency domain

methods in literature. Frequency domain methods use Fourier Transform (FT) to

generate reference signals. Even though it enables selective harmonic elimination

and provides to generate reference signals rapidly, it has main drawbacks such as

requirement at least one cycle to estimate the reference current and control

complexity compared to control methods in time domain. Synchronous Reference

Frame (SRF) and P-q-r (IRPT) are the most common and popular control techniques

to determine the reference signals based on time-domain. RMS (Average) Magnitude

Detector, Recursive Weighted Least Square Method, Modified Delta Rule Method,

Kalman Filter, EPLL are another methods to generate reference voltages in dynamic

voltage restorer. Besides, SOGIPLL is performed and analyzed to extract reference

3. FUNDAMENTALS OF DVR Mustafa İNCİ

37

signal firstly. In this thesis, EPLL, SRF and SOGI-PLL methods which are

comprehensively expressed in Chapter 4 are used to generate reference values.

3.3.5. Voltage Control Methods

The accuracy and dynamic behavior of the pulse width modulation and

voltage drop due to switching devices and passive components in DVR directly

affects the injected voltage generated by DVR. In available literature, there are two

voltage control systems used in the DVR applications: open loop and closed loop.

3.3.5.1. Open Loop

Usually, the control voltage of the DVR is derived by comparing the

incoming supply voltage against a desired reference voltage. Although system

stability is guaranteed in this type of control, damping is poor, and the stability

margin may not be sufficient in the presence of inverter-side filter (Vilathgamuwa et

al., 2006). In this method, the control signal , is simply compared supply voltage

against a reference voltage.

Figure 3.16. Open Loop Control Method

( )srefii VVkV −= (3.16)

In this control system, the voltage at source side of the DVR is compared with

the voltage at load-side reference voltage. Error between source-side and load-side

voltages is used to compare with a triangle signal in PWM module.

3. FUNDAMENTALS OF DVR Mustafa İNCİ

38

Figure 3.17. Block diagram representation of DVR system with open-loop controller(Vilathgamuwa et al., 2002)

Figure 3.17 shows the structure of open loop voltage control method. The

load-side voltage for this control method can be written as(Vilathgamuwa et al.,

2002).

Sopenrefopenload VGVGV 2*

1 += (3.17)

where is the transfer function from the reference signal to while

is the transfer function from to . It can be readily shown that the

transfer functions are given by (3.18) and (3.19), shown at the bottom of the page,

where , , and are given in the Appendix(Vilathgamuwa et al., 2002).

( )oooo

lliopen asasasa

rsLnksG43

22

31

1 )(+++

+= (3.18)

( ) ( ) ( )oooo

liliflfffllffflopen asasasa

rnksLnkCrrsCrLrLsCLLsG

432

23

1

23

2

1)1()(

+++−+−++++

= (3.19)

3. FUNDAMENTALS OF DVR Mustafa İNCİ

39

For a practical DVR system, it can be shown that the nondominant real root

(pole) of the system characteristics equation oooo asasasa 432

23

1 +++ is

approximately located at ( ) ( )tLtl LnLrnr 22 / ++− . Therefore the characteristics

equation can be factorized as (Vilathgamuwa et al., 2006).

( ) ( ) ( )3020222

10432

23

1 bsbsrnrsLnLbasasasa tltloooo +++++≈+++ (3.20)

and by equating the coefficients on both sides, the coefficients 302010 ,, bbb , ,

and 40b can be determined. They are given in the Appendix (Vilathgamuwa et al.,

2006).

The expressions for 302010 ,, bbb reveal that the locations of the remaining two

complex and dominant poles depend on the filter, load, and the series transformer

parameters. Indeed further analysis will show that the real part of the poles is equal

to ff Lr 2/− . As a safeguard against voltage sag, the DVR is expected to be on-line

at all time so that there is minimal delay in providing the voltage support as and

when it is needed. Hence it is desirable that the restorer has low loss and thus the

filter resistance r(f) is kept to as low a value as practicable. This could mean that the

dominant complex poles are located very close to the imaginary axis. Therefore the

transient response of the distribution system following a sag behaves very much like

a second-order system with natural damping frequency of 0nω given by

(Vilathgamuwa et al., 2006).

( ) fffftl

ftln CLCLrnr

rnrnr 12

22

0 ≈+

++=ω (3.21)

As tl rnr 2>> and fl rnr 2>> .

3. FUNDAMENTALS OF DVR Mustafa İNCİ

40

The natural damping frequency of the system is (approximately) equal to the

filter resonance frequency and the damping constant is very much dependent of the

filter inductor resistance. Let the filter resonance frequency 0nω be fK times system

base frequency (Vilathgamuwa et al., 2006). This analysis shows the damping of the

system with the open-loop controlled DVR can be unsatisfactory.

3.3.5.2. Closed Loop

One of the essential features of the DVR controller is its ability to correct

load voltage towards its desired reference. Required injected voltage is achieved by

appropriately controlling the inverter output voltage. Due to the lack of damping and

poor dynamic performance in the open loop control the closed loop control is gaining

acceptance in DVR voltage sag compensation. Such a closed loop control scheme

employs two feedback loops, an outer voltage loop and inner current loop. The inner

current loop can be derived either from filter inductor current or filter capacitor

current. Due to the inherent delay in the feedback loops, additional feedforward loop

is added to the control system in order to respond instantaneously for upstream

supply voltage disturbances (Vilathgamuwa et al., 2006). Figure 3.18 shows the

block diagram representation of DVR system with closed loop controller.

Figure 3.18. Block diagram representation of DVR system with closed

loop controller(Vilathgamuwa et al., 2002).

3. FUNDAMENTALS OF DVR Mustafa İNCİ

41

( ) ( )[ ]clrefvcsreffii iVVkkVVkkV −−+−= (3.22)

The load side voltage for this control configuration is given by (3.23)

scloserefcloseload VGVGV 21 += (3.23)

Where 1closeG is the closed-loop transfer function from the reference signal

refV to loadV while 2closeG is the closed-loop transfer function from the supply voltage

sV to loadV . These transfer functions (3.24) and (3.25) (Vilathgamuwa et al., 2002) :

( )( )ncvncvncvncv

llivciclose asasasa

rsLnkkknksG43

22

31

1 )(+++

++= (3.24)

( ) ( ) ( )ncvncvncvncv

liflciliflfflcifllffflclose asasasa

rnksCrkkLnkCrrsCLkkrLrLsCLLsG

432

23

1

23

2

1)1()(

+++

−++−+++++= (3.25)

Following a similar analysis as in open loop control method, it can be seen

the real root of the characteristics equation can be approximately located at

( ) ( )tLtl LnLrnr 22 / ++− . Factorization of the characteristics equation yields

(Vilathgamuwa et al., 2006).

( ) ( ) ( )bncvsbsrnrsLnLbasasasa ncvtltlncvncvncvncvncv +++++≈+++ 2222

1432

23

1 (3.26)

Where ncvncv bb 21 , and ncvb3 are given in the Appendix.

The expressions for the coefficients ncvncv bb 21 , and ncvb3 show that the two

dominant complex poles depend largely on the values of the filter inductance, filter

resistance as well as the capacitor current loop gain ck . Furthermore it can be shown

that the real part of these poles is ( ) fcif Lkkr 2/+− . This is a very useful feature

3. FUNDAMENTALS OF DVR Mustafa İNCİ

42

because there is now an additional flexibility in the design introduced by the factor

ck . For a given ik , the value of ck can be chosen such that fci rkk >> and a

corresponding increase in the real part of the complex poles is obtained. Thus the

damping level can be increased with an increase of the capacitor current gain

(Vilathgamuwa et al., 2006).

The resulting system can be seen to have the natural damping frequency nncvω

( ) ffvci

ff

vci

fftl

lvciftlnncv CL

kknkCL

kknkCLrnr

rkknkrnrnr 1.112

22

+==+

≈+

+++=ω (3.27)

The natural damping frequency of the closed loop system is therefore

approximately vci kknk+1 times filter resonance frequency(Vilathgamuwa et al.,

2002).

System damping and stability margin can be improved by properly selecting

the gains ck and vk . These gains are determined for a given design specification by

deriving transfer function between load and the reference voltage. Further analysis

reveals that the increase of current gain tends to increase the damping level while

the increase of voltage gain vk , tends to decrease it. As the feed forward gain fk ,

presents only in the numerator of the transfer function it does not contribute to

improve system damping and stability margin. However it can be independently

adjusted to decrease steady state error of compensated load voltage. However it can

be independently adjusted to decrease steady state error of compensated load voltage

(Vilathgamuwa et al., 2006).

3.3.6. Gate Signal Generation

Gate signals are used to control of the electrical switches in inverter. The rms

value of output voltage in inverter is controlled by turning the solid-state devices.

3. FUNDAMENTALS OF DVR Mustafa İNCİ

43

There are several techniques to generate firing signals for solid-state devices in

inverter. These techniques play important role in effective performance of dynamic

voltage restorer. Pulse Width Modulation and Space Vector Modulation are the most

common techniques which are used to generate gate signals.

3. FUNDAMENTALS OF DVR Mustafa İNCİ

44

4. MODELING OF PROPOSED DVR Mustafa İNCİ

45

4. MODELING OF PROPOSED DVR

In the scope of this study, the operation and the elements in proposed DVR

are described. The main subject in the thesis is the design which consists of power

circuit and systems components such as load, grid etc. Another important subject

called as control of DVR is also presented below.

4.1. Design of Grid and Load

In proposed system, Dynamic Voltage Restorer is connected between three

phase sources and nonlinear load. Nonlinear load consists of six-pulse rectifier which

has a capacity of 1 MVA. The circuit structure of six pulse rectifier used in proposed

DVR. It is fed from 11 kV three phase system through 2 MVA 11kV to 6.3 kV

transformer.

Figure 4.1. The proposed multilevel inverter based DVR structure with full bridge

DC-DC Converter

4. MODELING OF PROPOSED DVR Mustafa İNCİ

46

Table 4.1. Grid and load parameters of proposed system

Grid Parameters Value

Source 11 kV three phase

Frequency 50 Hz

Load Parameters Value

Type Nonlinear six pulse rectifier

Power rating 1 MVA

Voltage rating 8 kV (dc)

The circuit structure of six pulse rectifier used in proposed DVR is shown in

Figure 4.2.

Figure 4.2. Three-phase uncontrolled six pulse rectifier

4.2. Power Circuit Design of DVR Components

The power circuit of the proposed Dynamic Voltage Restorer (DVR)

topology in a three phase system is shown in Figure 4.4. It connected between

three phase sources and nonlinear load. As seen from the Figure 4.2, there are three

main elements, which are considered in the design of a DVR.

4. MODELING OF PROPOSED DVR Mustafa İNCİ

47

§ Inverter Circuit

§ Output Filter

§ DC-DC Converter

4.2.1. Design of Inverter Circuit

The inverter circuit is used to inject controlled voltage and maintain the

desired output voltage. The injected voltage is generated by accurately controlling

the switches in the inverter. The most common inverter topologies are the two- or

three-level three-phase converter used in DVR. Another popular converter topology

is the H-bridge cascade inverter. For higher power applications, the use of two-level

voltage converters becomes difficult to perform because of switch ratings and

efficiencies. One solution is to use multilevel voltage-source converters which allow

high power-handling capability than the two level and H-bridge inverters.

Figure 4.3. Single phase symmetrical five level diode clamped inverter

4. MODELING OF PROPOSED DVR Mustafa İNCİ

48

Among the different topologies of multilevel converters, the most popular

are: diode clamped inverters, flying-capacitor inverters, and cascade H-bridge

inverters(Patil et al., 2012). An m-level diode-clamped multilevel inverter typically

consists of m-1 capacitors on the dc bus and produces m levels of the phase

voltage(Ozdemir et al., 2007). Figure 4.3 presents a single-phase diode-clamped

inverter with two three-level legs. In this case, the dc-link is composed of two

capacitors. For proper modulation and to avoid excessive voltage on switches, the

voltage on the dc-link capacitors should be the same(Stala,2011).

Np VV = (4.1)

Proposed topology consists of two capacitors on dc bus and generates five-

voltage levels of phase voltage in inverter. Inverter structure consists of three single

phase five level diode clamped inverter for each phases. In this wise, it can

compensate balanced and unbalanced voltage sag/swell. Also, each diode clamped

inverter generates five voltage level (-Vdc, -0.5Vdc, 0, 0.5Vdc,Vdc). The voltage

levels and their corresponding switch states of inverter for each five level diode

clamped inverter are shown in Table 4.2. State condition 1 means the switch is ON,

and state 0 means the switch is off.

4. MODELING OF PROPOSED DVR Mustafa İNCİ

49

Table 4.2. Switch states of five level diode clamped inverter

Node “0” indicates grounding, “P” indicates positive terminal and “N” is the

negative terminal in inverter. Switches ( )4321 ,,, GGGG are the main devices operating

as modulating switche for the PWM. Switches ( ),4

,3

,2

,1 ,,, GGGG are the

complementary switches of ( )4321 ,,, GGGG as shown in Figure 4.3.

DC link capacitor voltage is calculated as in (4.2):

depthrmslldc sVn

V ,min, 32

−= (4.2)

State G1 G2 G3 G4 Vout

1 0 0 0 0 0

2 0 0 0 1 -0.5

3 0 0 1 0 0

4 0 0 1 1 -1

5 0 1 0 0 0.5

6 0 1 0 1 0

7 0 1 1 0 0

8 0 1 1 1 -0.5

9 1 0 0 0 0

10 1 0 0 1 0

11 1 0 1 0 0

12 1 0 1 1 0

13 1 1 0 0 1

14 1 1 0 1 0.5

15 1 1 1 0 0

16 1 1 1 1 0

4. MODELING OF PROPOSED DVR Mustafa İNCİ

50

In proposed system, and is determined to compensate voltage sag

of 35% in (4.3):

kVkVVdc 572.14.01132

2min, ≅×= (4.3)

DC capacitor voltage DCV is determined as 1700 V; equivalent DC capacitor

value is calculated as 25 mF.

4.2.2. Design of Inverter Filter

There are several types of filters. The simplest variant is filter inductor

connected to the inverter's output. But also combinations with capacitors like LC or

LCL can be used. The LC type inverter-side filter is used in this study and the

equivalent circuit is depicted in Figure 4.4. It is second order filter and it has better

damping behaviuor than L-filter. This simple configuration is easy to design and it

works mostly without problems. The second order filter provides 12 dB per octave of

attenuation after the cut-off frequency 0f , it has no gain before 0f , but it presents a

peaking at the resonant frequency 0f (Lettl et al., 2011, Köroğlu, 2012).

Figure 4.4. Equivalent Circuit for Inverter Side Filter

4. MODELING OF PROPOSED DVR Mustafa İNCİ

51

In this equivalent circuit, fL and fC constitute the single section LC filter;

fR is used to damp the filter at the resonant frequency 0f . invV represents the output

voltage of the PWM inverter, ai is the input current, ci is the capacitor current, oi

and oV are the output current and the output voltage of inverter side filter. Transfer

function of the LC filter is expressed as (Köroğlu, 2012);

)( 1

)( 1

1)( 22 sIsCRsCL

RsLsV

sCRsCLsV o

ffff

ffinv

ffffo ++

+−

++= (4.4)

Figure 4.5 shows the block diagram of single phase PWM inverter side filter

according to the transfer function (Kim et al., 2000, Köroğlu, 2012).

ff RsL +1

sC f

1

Figure 4.5. Block Diagram of Single Phase PWM-VSI.

In the conventional output filter design method, the output current 0i is

treated as the disturbance and so it is neglected and the new transfer characteristic

can be rewritten as (Kim et al., 2000, Köroğlu, 2012);

11

)()()( 2 ++

==sCRsCLsV

sVsHffffinv

o (4.5)

While choosing the filtering system, the cut-off frequency 0f of the filter

should be minimally 10 times greater then grid frequency and simultaneously

maximally one half of the converter switching frequency. The decrease of the power

4. MODELING OF PROPOSED DVR Mustafa İNCİ

52

factor caused by the filter capacitance should be lower than 5% (Lettl et al., 2011,

Köroğlu et, 2012).

Cut off frequency 0f should be between 500 Hz and 1500 Hz where grid

frequency is 50 Hz and PWM inverter switching frequency is 3000 Hz (Köroğlu,

2012).

ffo CL

fπ2

1= (4.6)

In order to achieve the proper fL and fC values, this time below equations

should be satisfied (Acar, 2002; Choi et al., 2002).

i

PTHDT K

VKV = (4.7)

T

M

mn ff

ninvM

mnno V

CLnwoVV <

−= ∑∑

==

2

2)(

22

)( 1)( (4.8)

πnV

V DCninv 2

4)( = (4.9)

In Equation 4.7, TV is the rms value of total harmonics voltage (per phase) on

the high voltage-side of the injection transformer, THDK is the voltage THD for a 11

kV system which can not be greater than 5.0%, iK is the turns ratio of the injection

transformer, pV is the voltage on the high voltage side of the injection transformer.

In Equation 4.6, ( )noV and )( ninvV are the nth order harmonic voltages on the

output and input of inverter where n is the order of harmonics (n = m, m+1, m+2,....,

M). )( ninvV can be obtained form Equation 4.6, in which DCV is the DC link voltage.

4. MODELING OF PROPOSED DVR Mustafa İNCİ

53

fL , fC and fR values are determined according to above equations and

using these values in the transfer characteristic obtained in Equation 4.6, bode plot is

drawn. A Bode plot is a plot of the magnitude and phase of a transfer function or

other complex valued quantity, vs. frequency. The magnitude plot is effectively a

log-log plot, since the magnitude is expressed in decibels and the frequency axis is

logarithmic (Erickson et al., 2000, Köroğlu, 2012). Bode plot for

( , 25.1 mHL f = F 80 µ=fC and Ω= 04.0fR ) is shown in Figure 4.6.

Figure 4.6. The Frequency Response of the Inverter Side Connected Filter

Decibel values of some simple magnitudes are listed in Table 4.3. The

magnitude of a dimensionless quantity G can be expressed in decibels as follows

(Erickson et al., 2000):

)( log 20 10 GGdB

= (4.10)

4. MODELING OF PROPOSED DVR Mustafa İNCİ

54

Table 4.3. Expressing Magnitudes in Decibels

Actual Magnitude Magnitude in dB

0.01 -40

0.1 -20

1 0

2 6

10 20

100 40

Figure 4.7 shows the phase plot of the inverter side filter, the phase tends to

0o at low frequency and tends to -180o at high frequency, at cut off frequency off = ,

the phase is -90o.

Figure 4.7. Phase Plot of the Inverter Side Connected Filter

4. MODELING OF PROPOSED DVR Mustafa İNCİ

55

4.2.3. Design of DC-DC Converter

This topics presents the controller design procedures of the full bridge

isolated dc/dc converter used in proposed DVR. Figure 4.8 shows the structure of

proposed dc-dc converter.

Figure 4.8. Circuit diagram of full bridge DC–DC Converter

The main function of the dc-to-dc converter is to maintain and control the dc

voltage of the inverter during voltage sag. Proposed DC-DC converter allows the

DVR to compensate deep and long duration voltage sags(Jowder et al., 2009).

Timing diagram with basic operating waveforms are presented in Figure 4.9.

Gate signals (S1, S2, S3 and S4) are generated with comparison of reference signal

with carrier.

Primary switches, S1-S4, are hard switched and operated in pairs, S1-S2 and

S3-S4 respectively. Drive signals are 180 degree phase shifted. Switch transistor duty

cycle, D, is below 50 percent to avoid switch overlap and thus short circuit of input

(Nymand et al., 2010).

4. MODELING OF PROPOSED DVR Mustafa İNCİ

56

Figure 4.9. Timing diagram and basic waveforms for isolated full-bridge dc-dc

converter

Basic converter operation can be divided into four main states(Nymand et al.,

2010).

State 1, First on-period, T1:A first converter on-period, T1, starts when switches,

S1-S2, are turned on. Switches, S3-S4, and diodes, D3-D4, are off. Reflected

inductor current flows from input capacitor, C1, through switch, S1, transformer, T1,

diode, D1, and inductor, L1 to the output, and returns to input through diode, D2, and

switch, S2. The period ends when switches, S1 and S2, are turned off again. Duration

of the on-period is (Nymand et al., 2010):

DTT =1 (4.11)

The plot for the secondary voltage Vs is shown on Figure 4.9,

4. MODELING OF PROPOSED DVR Mustafa İNCİ

57

ininP

PS nVV

NNV == (4.12)

Where transformer turns ratio is defined as the ratio of secondary winding

turn number to primary winding turn number.

P

S

NNn = (4.13)

The voltage across the output inductor L1 is given by

OP

SOSL V

NNVVV −=−= (4.14)

Assuming a constant output voltage Vo, the voltage across L1 is a constant,

resulting in a linearly increasing current in L1. In the interval when S1, S2 or S3,S4

is closed, the change in current in L1 is

−==

∆=

∆∆

OinP

SLLL VVNN

LLV

DTI

tI

11

111 1 (4.15)

State 2, First off-period, T2: A first converter off-period, T2, starts when switches,

S1 and S2, are turned off. All primary switches are off. Inductor current, iL1, is free-

wheeling through the two parallel branches, D1-D4 and D3-D2, to output. Inductor

current is discharging. Transformer magnetizing current circulates in the transformer

secondary winding and the diodes, D1-D3 and/or D2-D4. The period ends when

switches, S3 and S4 are turned on (Nymand et al., 2010).

TDT

−=

21

2 (4.15)

4. MODELING OF PROPOSED DVR Mustafa İNCİ

58

The voltage across L1 is Vo, resulting in a linearly decreasing current in L1.

The change in current while both switches are open is

1

11

2/ LV

DTTI

tI OLL −=

−∆

=∆

∆ (4.17)

State 3, Second on-period, T3: A second on-period similar to the first is initiated

when switches, S3 and S4, are turned on. Reflected inductor current flows from input

capacitor, C1, through switch, S3, transformer, T1, (in opposite direction compared

to first on-period) diode, D3, and inductor, L1, to the output. Current returns to input

through diode, D4, and switch, S4. The period ends when switches, S3 and S4, are

turned off again. Period time is equal to the first on-period, (Nymand et al.,

2010).

State 4, Second off-period, T4: Finally, a second off-period starts when switches,

S3 and S4, are turned off. All primary switches are off. Inductor current, iL1, is free-

wheeling through the two parallel branches, D1-D4 and D3-D2, to output. Inductor

current is discharging. Transformer magnetizing current circulates in the transformer

secondary winding (in opposite direction to first off-period) and the diodes, D1-D3

and/or D2-D4. The period ends when switches, S1 and S2, are turned on. Period time

is equal to the first off-period time, .24 TT = Duration of the off-period is (Nymand et

al., 2010):

Since the net change in inductor current over one period must be zero for

steady-state operation,

( ) ( ) 0,, =∆+∆ openLclosedL II (4.18)

( ) 02/111

=−+

− DTT

LVDTVV

NN

LO

OinP

S (4.19)

4. MODELING OF PROPOSED DVR Mustafa İNCİ

59

Solving for Vo,

DNNVV

P

SSO

= 2 (4.20)

It is also useful to express the ripple as a fraction of the output voltage(Hard,

2011),

281LCf

DVVO

O −=

∆ (4.21)

In design, it is useful to rearrange the preceding equation to express required

capacitance in terms of specified voltage ripple(Hard, 2011):

( ) 2/81

fVVLDC

OO∆−

= (4.22)

If the ripple is not large, the assumption of a constant output voltage is

reason-able and the preceding analysis is essentially valid(Hard, 2011).

Finally, the VA rating of the capacitor, denoted as , is (Li et al., 2001):

CCCC IVkS = (4.23)

Where Ck is an optional safety coefficient, typically ranging from 1.0 to

1.2(Li et al., 2001).

4.3. Control System

The control system of a DVR plays an important role, with the requirements

of fast response and more accuracy. Many extraction and mitigation strategies is

4. MODELING OF PROPOSED DVR Mustafa İNCİ

60

presented with different control algorithms and different topologies in dynamic

voltage restorer. Voltage sag and swell must be detected fast and compensated

accurately. SRF and EPLL are widely used for sag/swell detection and reference

extraction. In addition to these controllers, SOGI-PLL is used to generate reference

signals when sag/swell is detected. The DVR must inject the series voltage according

to several criteria. In proposed system, it uses presage compensation method which

prevent phase-jump problem and requires less power transfer compared to in-phase

compensation method. Due to the lack of damping and poor dynamic performance in

the open loop control, the closed-loop control is preferred in proposed method.

4.3.1. Sag Detection

Many sag detection methods are presented with different control algorithms

in literature. Voltage sag and swell must be detected fast and compensated

accurately. SRF and EPLL are widely used for sag/swell detection and reference

extraction. In addition to these controllers, SOGI-PLL is a new method to generate

reference signals when sag/swell is detected. This section is also to explain the

structures of the EPLL, SRF, SogiPLL for three phase Dynamic Voltage Restorer for

sag/swell compensation and consists of their comparison results.

4.3.1.1. Enhanced Phase Locked Loop (EPLL)

This section analysis Enhanced Phase-Locked Loop (EPLL) which is used to

obtain signal magnitude and phase angle information in DVR systems. Conventional

PLLs are used to extract phase angle of a signal. However, EPLL has a capability

determination of amplitude and phase angle detection compared to conventional

PLLs.

The main building block of the system is an enhanced phase-locked loop

(EPLL) which extracts the synchronised fundamental component of the input signal

and its amplitude, phase angle and frequency(Karimi et al, 2005). When compared

4. MODELING OF PROPOSED DVR Mustafa İNCİ

61

with the existing methodologies for estimation of the symmetrical components,

EPLL has the following advantages(Karimi-Ghartemani, 2003):

§ Robustness with respect to noise and distortions.

§ Structural robustness with respect to the internal estimator parameters.

§ Capability to control the speed of response and the steady-state error.

§ Adaptivity with respect to the signal variations including center frequency

and amplitude.

§ Structural simplicity for hardware/software implementations.

§ Flexibility of structure.

The EPLL consists of three main parts as conventional PLLs. These parts are

called as Phase Detection(PD), Low-Pass Filter(LPF) and Voltage Control

Oscillator(VCO). Block diagram of EPLL is shown in Figure 4.10.

( ) ( )

( ) ( )

( )

+

Figure 4.10. Structure of Enhanced Phase Locked Loop

The EPLL receives the input signal and provides an on-line estimate of the

following signals(Karimi et al, 2004):

4. MODELING OF PROPOSED DVR Mustafa İNCİ

62

§ The synchronized fundamental component,

§ The amplitude, )( tA , of )( ty

§ The phase angle )( tθ , of )( ty .

§ The frequency deviation, )( tω∆ ;

§ Time-derivatives of the amplitude, phase and frequency.

The error signal e(t)=u(t)-y(t) is the total distortion signal of the input and it

can be expressed as a continuous time (Teke et al., 2011).

∫−= dtKttettute A .).(sin).()(sin)( )( θθ (4.24)

Here, and , located at the right hand side of (1), are assumed as a

constant due to the value at the instant t that is equal to that of the instance (t-1).

Hence, the final statement of (4.24) is given as

∫ −−−−= dtKttettute A . ).1(sin).1()1(sin)( )( θθ (4.25)

Considering that e(t-1) and sin(t-1) are constant, then

∫−−−= dtKtstetute A).1(in )1( )( )( 2θ (4.26) If the constants are assumed as

1)1(sin µθ =−t (4.27)

( ) 22

12 . )1( ).1(in )1( µµθ =−=−− AA KteKtste (4.28)

4. MODELING OF PROPOSED DVR Mustafa İNCİ

63

Then, the last statement of e(t) can be written as

t)( )( 2µ−= tute (4.29)

)( tA can be expressed as

dtKtstetA A . ).(in. )()( θ∫= (4.30)

In (5.30), is assumed as a constant due to the value at the instant t

that is equal to that of the instance (t-1). Hence, the final statement of (4.32) is given

in the following equations:

dtKttetA A . ).1(sin. )()( −= ∫ θ (4.31)

Considering that 1)1(sin µθ =−t and substituting )( te into )( tA , )( tA can be

rewritten as

[ ]dtttuKtA A .)( .)( 21 ∫ −= µµ (4.32)

the input signal )( sin.)( α+= wtutu and )( tA is organized as follows:

[ ]dttsuKtA A .)in(wt .)( 21 ∫ −+= µαµ (4.33)

2211

2)cos(..)( tK

wwtuKtA AA µµαµ

−+

−= (4.34)

The speed of the response is determined by parameters K and . Rate of

convergence is increased by increasing K and . Thus, these two parameters

4. MODELING OF PROPOSED DVR Mustafa İNCİ

64

control transient as well as steady-state behavior of the filter. This feature of the

filter, as it is shown in this paper, makes it suitable for a variety of

applications(Karimi et al, 2002).

4.3.1.2. Synchronous Reference Frame (SRF)

This algorithm is based on obtaining the equivalent space vector of three

phase quanitities(Meena et al, 2012).The three supply phases are converted into one

phasor “ SV ” which itself is comprised of two orthogonal components αV" and "βV .

A synchronous reference frame is locked to “ SV ” via a PLL. The vectors are

generated by the following formulas (4.35) and (4.36):

−−=

c

b

a

VVV

VVV

0866.0

5.0

0866.0

5.0

001

32

0

β

α

(4.35)

=

β

α

ϑϑ

ϑϑ

VV

VV

q

d

cossin

sincos

(4.36)

If the utility system operates under normal conditions, or if any balanced fault

occurs, positive sequence d–q components (Vd and Vq) are DC components. If any

unbalanced fault occurs, the resulting voltage sag/swell is unbalanced and contains

both positive sequence and 100 Hz (for 50 Hz network frequency) negative sequence

components(Tumay et al., 2009). For a positive sequence SRF, the positive sequence

component can be named as DC, and 100 Hz negative sequence component can be

named as ripple. Conventionally, to separate the DC component and ripples, a low

pass filter (LPF) is used after 22qddqp VVVV +== operation. Nevertheless, the

‘original positive sequence component’ cannot be obtained. The filter also causes a

certain amount of delay in the error signal. Vp is used for error calculation after

separation of DC components and ripples by disturbance filters(Tumay et al,2009).

4. MODELING OF PROPOSED DVR Mustafa İNCİ

65

Figure 4.11. Conventional SRF based detection

From Figure 4.11, 22qddqp VVVV +== , this voltage varies with the grid

voltages then the voltage sags can be detected from value of dqV . This dqV is filtered

by low-pass filter (LPF) for ω2 or 100-Hz component elimination (for 50-Hz

distribution systems). The filtered dqV or fdqV , is finally compared to a dc reference

in comparator (i.e. 0.9 pu). The comparator output is a sag signal, which initiates a

voltage sag compensation process when the voltage sag occurs(Sillapawicharn et

al,2011).

To compensate unbalance voltage sags, three-phase symmetric voltages can

be constructed by a-phase voltage, which is carried into dq transform according to

the equation(Jianwei et al,2011):

( ) ( )∑∑ ==+++==

n

i iin

i iiarefa iyuiyuVV1 221 11, sin2sin2 ϑωϑω (4.38)

It can be constructed for

∑∑ ==

+++

−+=

n

i iin

i iibref ituituV1 221 11, 3

2sin23

2sin2 πϑω

πϑω (4.39)

∑∑ ==

−++

++=

n

i iin

i iicref ituituV1 221 11, 3

2sin23

2sin2 πϑω

πϑω (4.40)

4. MODELING OF PROPOSED DVR Mustafa İNCİ

66

Also, it can be written as,

)3

()3

4()3

2(,πππ

∠−=∠=−∠= aaabref VVVV (4.41)

( ) )3

(,,π

∠+−=+−= aabrefacref VVVVV (4.42)

According to above expression, each equation is repeated for b and c phases.

brefV , can be got by A-phase voltage forward 3/π , the opposite of the sum of A-

phase and B-phase voltages is Vc, Assume the system period is 20 ms, then the

three-phase voltages constructed by this method theoretically delay 3*2*20

ππms , as 3.4

ms (Jianwei et al,2011).

Figure 4.12. Proposed SRF based phase detection (a) Phase A, (b) Phase B,

(c) Phase C

4. MODELING OF PROPOSED DVR Mustafa İNCİ

67

Figure 4.12 shows that the unbalance voltage sag/swell in three phase systems

are detected to compansate unbalance voltage sag/swell seperately. fdqbfdqa VV ,, , and

fdqcV , are severally filtered by low-pass filter for component elimination. Finally,

the filtered fdqcfdqbfdqa VVV ,,, ,, are finally compared to a dc reference in comparator.

The comparator output is a sag/swell signal, which initiates a voltage sag/swell

compensation process when the voltage sag/swell occurs.

4.3.1.3. SOGI-PLL

Signals of the electrical utility grid are usually corrupted by noise and

harmonics. One way to remove these interferences is to apply filters. Either fixed or

adaptive filters can be used to fulfill the above purpose. Yet, the design of fixed

filters requires prior knowledge of both the signal and the noise, which may be

difficult to obtain, especially when the three-phase grid is subjected to unbalanced

faults. On the other hand, adaptive filters are able to adjust their impulse responses

automatically according to the output signal of the filters, and their designs require

less knowledge of the source signals or noise characteristics. This property of

adaptive filters has made them highly useful for a variety of applications. For PLL

applications, the adaptive filtering technique is employed mainly for noise reduction

and quadrature signal generation, as is illustrated in the following example(Gao et

al.,2012).

4. MODELING OF PROPOSED DVR Mustafa İNCİ

68

q ′

+

Figure 4.13. Block diagram of the orthogonal signals generator based on SOGI-PLL

In this section, an introduction to an orthogonal signals generator, based on a

SOGI, is presented. The closed-loop diagram representing the orthogonal signals

generator is depicted in Figure 4.13. In order to generate two orthogonal signals, the

reference signal V and a frequency value are needed in input. In the operating

mode, if the input frequency is equal to the reference signal frequency, SOGI

generates two sine waves ,V and ,qV that have the same magnitude of V and with a

phase shift of 2/π each other. Moreover, ,qV is in phase with the fundamental of

the input signal. Then, intuitively, the presented scheme can be used to track the

input signal V . The characteristic closed-loop transfer functions of the structure in

Figure 4.13 are given by(Giuseppe Fedele et al.,2012):

( ) 22

,

)(ωω

ω++

==sKssKsDs

VV

sogi (4.43)

( ) 22

2,

)(ωω

ω++

==sKs

KsQsV

qVsogi (4.44)

2/π−∠=∠ sogisogi DQ (4.45)

4. MODELING OF PROPOSED DVR Mustafa İNCİ

69

where k affects the bandwidth of the closed-loop system(Ciobotaru et al.,2006).

4.3.1.4. Reference Generation Using Sag Detection Methods

Sag detection methods are used to detect balanced/unbalanced sag and swells.

Firstly, all voltage signals are converted to per unit values. Magnitude signal (A(t)) is

extracted form EPLL, SRF and SOGIPLL. A(t) signal is subtracted from reference

signal (1 pu), the voltage sag/swell depth is calculated as shown in Figure 4.14. It

shows the structure of sag/swell depth detection method based on EPLL, SRF and

SOGIPLL.

Figure 4.14. Block diagram of proposed method based on EPLL, SRF and

SOGIPLL(Köroğlu,2012)

Sag/swell depth is calculated using (4.35):

)(1 tASdepth −= (4.46)

Figure 4.15 shows a single phase sag condition for three sag detection

methods. As shown in figure, voltage sag initiates at 0.3s with a 0.1s duration and

%30 sag depth.

4. MODELING OF PROPOSED DVR Mustafa İNCİ

70

Voltage Sag

0.280 0.300 0.320 0.340 0.360 0.380 0.400 0.420

-10.0 -8.0 -6.0 -4.0 -2.0 0.0 2.0 4.0 6.0 8.0

10.0 Vbusbar A Vbusbar B Vbusbar C

Voltage Sag Detection Signal(EPLL)

Voltage Sag Detection(SRF)

Voltage Sag Detection (SOGIPLL)

(a)

(b) (c)

Figure 4.15. (a) Busbar, (b) magnitude(sag depth) and (c) sag detection signals

It is shown Figure 4.15, SRF is the best way to detect voltage sag and swell

compared to EPLL and SOGIPLL. SRF is more superior than EPLL and SOGIPLL

due to its speed and The advantages of SRF are fast and more accurately than EPLL

and SOGIPLL. EPLL and SOGIPLL extract phase information which is an

advantage compared to SRF. However, It is clear that EPLL and SOGIPLL have

more oscillatory than SRF.

4. MODELING OF PROPOSED DVR Mustafa İNCİ

71

4.3.2. Voltage Injection Strategy

Voltage sag and swell problems have several characteristic properties which

must be compensate. Sag/swell magnitude and phase jump problem are the most

important problems in sensitive loads. Therefore, the voltage injection strategies

must be applied depend upon these major issues.

The standard solution for compensating voltage sags is to reestablish the

exact voltage before the sag. Therefore, the amplitude and the phase of the voltage

before the sag have to be exactly restored. The resulting vector is shown in Figure

4.16.(Meyer et al., 2008)

Figure 4.16 Phasor diagram of Pre-Sag Compensation methods

In PSC method, determining pre-sag angle (θpresag) is determined by using a

phase freezer unit. In literature, conventional phase freezer unit is created by

measuring the supply voltage (Vs) and freezing the phase angle of the supply voltage

when sag occurs. The phase angle of the supply voltage is used as the reference

phase angle of the load voltage (Vl) during sag operation as seen in Figure 4.17

(Delfino et al.,2005; Nielsen et al.,2004; Vilatgamuwa et al.,2002; Ajaei et al.,2011;

Köroğlu,2012).

4. MODELING OF PROPOSED DVR Mustafa İNCİ

72

Figure 4.17. Conventional phase freezer unit(Köroğlu,2012)

The most important disadvantage of the conventional phase freezer unit is

that it tracks both supply and load voltages and needs two independent voltage

measurements. The conventional method works with no error in simulation

environment but in practical it is very difficult to measure both supply and load side

voltages. Supply measurement should be somewhere upstream of the fault which is

difficult to locate and measure. To overcome the disadvantages of the conventional

phase freezer unit, proposed algorithm is used in this thesis seen from Figure

4.20(Köroğlu,2012).

The block diagram of the proposed DVR control system for single-phase is

shown in Figure 4.19. Supply-side and load-side voltages are defined by (4.47) and

(4.48), respectively

( )presagpresagpresag tVv ϑω +×= cos (4.47)

( )lsll tVv ϑω +×= cos (4.48)

Based on the presag compensation method, the voltage phasor, which must be

injected by the DVR, is the complex difference between the supply voltage phasor

and the presag supply voltage phasor, as shown in the vector diagram of Figure 4.17.

This phasor ( )injV is calculated by the phasor subtraction unit, shown in Figure 4.18,

4. MODELING OF PROPOSED DVR Mustafa İNCİ

73

according to (4.47) and (4.48). The coefficient γ in (4.47) is 1 when

;coscos SSpresagpresag VV ϑϑ > otherwise, it is “-1”(Ajaei et al.,2011)

( ) ( )( )22 sinsincoscos SSpresagpresagSSpresagpresaginj VVVVV ϑϑϑϑγ −−−×= (4.49)

−−

= −

SSpresagpresag

SSpresagpresaginj VV

VVϑϑϑϑ

ϑcoscossinsin

tan 1 (4.50)

Figure 4.18. Phasor subtraction

4. MODELING OF PROPOSED DVR Mustafa İNCİ

74

Figure 4.19. Flow chart of proposed phase freezing (Köroğlu, 2012)

False RT = 20µs

True

i2<=0

True

False True

True False

Creating Array xA [2000]

Start

Read Input data i1, i2

xA [i] = i1 i<1000

xA [i] = xA [i-1000] xA [i] = xA

i ++

Determine output

False i=2000

i=0

RT: Resolution Time

i1: EPLL Phase Angle

i2: Sag “on” Signal

o1: Freezed Phase

4. MODELING OF PROPOSED DVR Mustafa İNCİ

75

In the proposed phase freezing method, load side voltage is used to generate

phase information shown in Figure 4.19. The phase angle of load side voltage is

written to an array by two periods which each perios is 1000 sample. When sag

occurs at a time, EPLL detects sag and sends enable signal (i1); then the phase

information of one period before sag initiated is used as output phase. So, the phase

is freezed and used during the sag. When sag finishes, instant phase information is

used as output again. This process repeats itself for every sample time (Köroğlu,

2012). The proposed system is simulated using presag compensation method. Phase

freezing process is shown in Figure 4.20. The system in Figure 4.21 has a fault 30%

sag with 12o angle jump initiates at 0.3s with a duration of 0.1s. It explains to

achieve phase freezing process between presagsandϑϑ .

Figure 4.20. Block diagram of the phase freezing in DVR control

Figure 4.21. Reference voltages generated with In-Phase and Pre-Sag methods

4. MODELING OF PROPOSED DVR Mustafa İNCİ

76

Depending on the phase angle of the grid voltage during the sag, the DVR has

to deliver a higher voltage amplitude to restore the correct voltage magnitude,

because the phase jump of the grid has also to be compensated by the DVR.

Therefore, the system has to be designed for a higher maximum voltage. In addition,

less energy from the DC-link can be extracted (Meyer at al., 2008). Figure 4.22

shows simulation results for 30% sag with 12o angle jump starts at 0.3s with a

duration of 0.1s. The amplitude of presagerrorV , is higher than inphaseerrorV , .

4.3.3. Voltage Control Strategy: Closed Loop

In the case of voltage compensated APFs, output filters nand inverters are the

main components. The inverter output voltage passes through the output filters to get

switching-ripple-free compensation voltages. However, the output filters bring in

time delay and resonance problems on the compensation voltage also. Thus, proper

control methods are required to get the output compensation voltage according to a

reference value (Kim et al., 2005). The accuracy and dynamic operation of dynamic

voltage restores is an important issue. Basically, there are two voltage control

strategies used in the dynamic voltage restorer: open loop and closed-loop.

Open Loop method is uncontrolled and poor dynamic performance due to

lack of its simple structure. Another disadvantage of using such open-loop control

scheme is that the steady-state load voltage may not be compensated to the desired

value owing to voltage drop across the transformer series impedance and the filter.

This becomes particularly important if the load is nonlinear as nonsinusoidal currents

drawn by such a load can distort the load voltage(Vilathgamuwa et al., 2002). In

proposed method, Closed loop method is preferred due to its strong dynamic

behavior. For the DVR injection voltage control, a multiloop control scheme is

implemented as illustrated in Figure 4.22.

4. MODELING OF PROPOSED DVR Mustafa İNCİ

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-V (s)ref

V (s)

v

-I (s)

c

-

V (s)

Error Signal

for PWMi

Figure 4.22. Proposed multiloop control method

To track the load voltage properly, it is necessary to include a load voltage

feedback. If the filter capacitor current is fed back to achieve a sinusoidal capacitor

current while an outer voltage loop is used to regulate the output voltage. A

feedforward loop will also be incorporated to improve dynamic response of the load

voltage(Vilathgamuwa et al., 2002). After a voltage sag/swell is detected, the

difference between the reference voltage and measured load voltage is calculated in

per unit. The DVR injected voltage feedback ( lV ) is compared with its reference

( refV ) and the capacitor current(Ic) is used to improve dynamic performance of DVR.

Then, the error is used to generate PWM signals.

The natural damping frequency of closed-loop dampingω ,

ffvcidamping CL

kknk 1)1( +=ω (4.51)

The natural damping frequency in closed loop system is therefore

approximately )1( vci kknk+ times filter resonance frequency. The value of LC

cutoff frequency is about 300 Hz in open loop control method. By choosing

15.0,50,1,2 ==== cvi kkkn in proposed controller, Figure 4.23 explain the effect

of closed loop method compared to open loop.

4. MODELING OF PROPOSED DVR Mustafa İNCİ

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CLOSE-LOOP VOLTAGE CONTROL METHOD

0.200 0.240 0.280 0.320 0.360 0.400 0.440 0.480

4.00 4.20 4.40 4.60 4.80 5.00 5.20 5.40 5.60 5.80 6.00 6.20 6.40 6.60 6.80 7.00

Vbusbar(rms) Vload(rms)

OPEN-LOOP VOLTAGE CONTROL METHOD

0.200 0.240 0.280 0.320 0.360 0.400 0.440 0.480

4.00 4.20 4.40 4.60 4.80 5.00 5.20 5.40 5.60 5.80 6.00 6.20 6.40 6.60 6.80 7.00

Vbusbar(rms) Vload(rms)

Figure 4.23. Comparison of Close Loop and Open Loop in proposed DVR

As it is seen from Figure 4.23, Closed loop shows better performance than

open loop method. Closed loop regulate the output voltage and keeps it constant at

the side where a nonlinear load is connected.

4.3.4. Gate Signal Generation

In proposed DVR, gate signals are generated for two converters:

§ Symmetrical five level diode clamped multilevel inverter

§ Full bridge DC-DC converter

4. MODELING OF PROPOSED DVR Mustafa İNCİ

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4.3.4.1. Inverter

The gating signals in inverter are generated by using modulating techniques.

The most popular modulation techniques are sinusoidal pulse width modulation,

space vector modulation, fuzzy logic controller etc. Sinusoidal Pulse Width (SPWM)

technique is used to generate gate signals in proposed DVR. The gating signals are

generated by comparing a sinusoidal reference with a triangular carrier signal. The

amplitude of carrier signal controls the modulation index and it regulates output

voltage of inverter. The modulation index is expressed as below:

C

R

AAM = (4.52)

The switching frequency of solid-state devices in diode clamped multilevel

inverter is selected as 3000 Hz. Two triangular waves for each five-level diode

clamped inverter are compared with two reference signal. Each triangular wave is

compared with error (reference) signal as shown in Figure 4.24.

Figure 4.24. Generation of gate signals for each multilevel five level diode clamped

inverter

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The amplitude of first triangular wave changes between “0” and “0.4” while

amplitude of second triangular wave changes between “0” and “-0.4”. These carrier

signals are compared with error signal and applied to three phases. In this wise,

gating signals for diode-clamped inverter are generated.

4.3.4.2. DC-DC Converter

Gate signals (S1, S2, S3 and S4) in dc-dc converter are generated with

comparison of reference signal with carrier. Reference signal (=0.6) is obtained

using ),7.1(, kVV refdc Vo. As soon as DC link capacitor voltage drops below

),7.1(, kVV refdc PI controller is employed to keep DC link voltage constant. The flow

chart of PI control method used in DC-DC converter is presented in Figure 4.9.

Figure 4.25. The flow chart of DC-DC Controller

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Firstly, PI control measures dcV and compare it with )7.1(, kVV refdc When

dcV below down )7.1(, kVV refdc , PI signal is generated and compared with reference

signal. This process repeated itself continuously. If PI output is greater than reference

signal, reference is equal to reference signal(0.6). If PI output generates lower

magnitude signal than reference(0.6), reference signal is equal to PI output and gate

signals are generated.

Carrier and reference signals generated by PI controller are shown in Figure

4.26.

Figure 4.26. Carrier and reference signals generated by PI controller

Timing diagram with modulation waveforms are presented in Figure 4.27.

Gate signals (S1, S2, S3 and S4) are generated with comparison of reference signal

with carrier.

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Figure 4.27. Generation of gate signals for full bridge dc-dc converter

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5. SIMULATION RESULTS AND CASE STUDIES

This section presents the simulation results of multilevel inverter based DVR

with DC-DC Converter. Simulation results consist of comparison of sag/swell

detection methods (EPLL, SRF, SogiPLL), voltage control strategies (Open Loop,

Closed Loop) and different voltage sag case studies.

A 1 MVA, 1.2/2.4 kV transformer is used for connecting the DVR to the

network. The proposed DVR model is simulated by PSCAD/EMTDC to compensate

voltage sag and voltage swell at the source side. The power circuit and

PSCAD/EMTDC diagram of proposed DVR system used in this thesis are

shown in Figure 5.1.

Figure 5.1. PSCAD/EMTDC model of proposed DVR System

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Simulation parameters used in PSCAD/EMTDC are given in Table 5.1.

Parameters of system, load, diode clamped multilevel inverter and dc-dc converter

injection transformer are presented in Table 5.2-6, respectively.

Table 5.1. PSCAD/EMTDC Simulation Parameters PSCAD/EMTDC Parameters

Solution Time Step 20 µs

Channel Plot Step 20 µs

Duration of Simulation Run 2 s

Table 5.2. System Parameters System Parameters

Fundamental Frequency 50 Hz

Voltage Source (VS1) 11 kV (L-L, rms), phase angle 0o

Impedance of Feeder-I (RS1 + j2πLS1) 0.000001 + j0.037699 Ω

Short Circuit Powers of Feeder-I 1500 MVA

Table 5.3. Simulated Load Parameters Load Parameters

Nonlinear/Sensitive Load (L1) A three-phase diode rectifier that supplies a load

of 100 + j125.66 Ω, 710 kVA, pf = 0.983,

THD=5.1 %

Table 5.4. Simulation parameters of Voltage Source Inverter DVR (VSI)

Compensation Rating 30%

Filter inductor (Lf) 1.5 mH

Filter Capacitor (Cf) 150 µF

Filter Resistance (Rf) 0.05 Ω

Power Rating 1230 kVA

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Table 5.5. Simulation parameters of Full Bridge DC-DC Converter DVR (DC-DC Converter)

Transformer Rating 0.5 MVA

Turn ratio (Ns/Np) 2/1

Input Capacitor (C1) 5 mF

Output Capacitor (Ceq) 25 mF

Input Voltage 0.85 kV(dc)

Output Voltage 1.7 kV(dc)

Table 5.6. Injection Transformer Parameters Injection Transformer (TR)

Transformer MVA 1 MVA

Base Operation Frequency 50 Hz

Turns Ratio 1.2 / 2.4 kV

Leakage Reactance 0.001 pu

5.1. Comparison of Sag Detection Methods (EPLL, SRF and SogiPLL)

Voltage sag/swell must be detected fast and compensated accurately. The

sag inception is defined as the instant, when the RMS voltage (Vrms) of the supply

drops below 0.9 p.u. The swell inception is defined as the instant, when the RMS

voltage (Vrms) of the supply rises upper than 1.1 p.u.

Firstly, unbalance sag condition is considered because of single line-to-

ground fault is the most common type in transmission and distribution systems.

Firstly, 30% single-phase voltage sag occurs between 0.3 s < t < 0.4 s. EPLL, SRF

and SogiPLL is used to detect single-phase unbalance voltage sag. Figure 5.2 (a), (b)

and (c) shows the source-side voltage, voltage sag inception time and magnitude

information by using sag detection methods.

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Figure 5.2. (a) Source side busbar voltages, (b) Voltage sag inception time and (c) Magnitude information for three sag detection methods

Sag inception times for three methods are given in Table 5.7.

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Table 5.7. Sag inception and finish time for three methods Voltage Sag (Phase A) Inception Finish Result

EPLL 0.3028 s 0.4046 s Medium

SRF 0.3012 s 0.4019 s Fast

SogiPLL 0.3039 s 0.4055 s Slow

It is shown Table 5.7, SRF is the best way to detect voltage sag and swell

compared to EPLL and SOGIPLL. Although EPLL and SogiPLL extract the phase

information compared to SRF, SRF is more superior than EPLL and SOGIPLL due

to its speed and accuracy. However, It is clear that EPLL and SOGIPLL have more

oscillatory than SRF as shown in Figure 5.2 (c).

Figure 5.3 and Figure 5.4 show injected voltages and load-side voltages by

using three sag detection methods.

Figure 5.3. Injected voltages by using three sag detection methods

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DVR : Graphs

0.260 0.280 0.300 0.320 0.340 0.360 0.380 0.400 0.420 0.440 ... ... ...

-12.0 -9.0 -6.0 -3.0 0.0 3.0 6.0 9.0

12.0

yVload_A_DQ Vload_B_DQ Vload_C_DQ

-12.0 -9.0 -6.0 -3.0 0.0 3.0 6.0 9.0

12.0

y

Vload_A_DQ Vload_B_DQ Vload_C_DQ

-12.0 -9.0 -6.0 -3.0 0.0 3.0 6.0 9.0

12.0

y

Vload_A_DQ Vload_B_DQ Vload_C_DQ

Figure 5.4. Source side voltages by using EPLL, SRF and SogiPLL methods

5.2. Simulation Results for Open Loop and Closed Loop

Weather (lightning, wind, ice), animal contact, contamination of insulators,

construction accidents, motor vehicle accidents, falling or contact with tree limbs can

result in voltage sags. Such faults may be 3-phase, line-to-line, or single line-to-

ground. The 3-phase faults are the most severe, but are relatively unusual(Bingham,

1998). In proposed DVR, the voltage sags with 12 phase jump have been generated

by controlled short circuit impedance in the grid.

5.2.1. Open Loop Voltage Control Method

Three case studies (Case 1, Case2 and Case 3) are presented for the following

sag types using open loop control method:

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§ Single Phase Unbalance Voltage Sag

§ Two Phase Unbalance Voltage Sag

§ Three-phase balanced Voltage Sag

5.2.1.1. Case 1: Single Phase Voltage Sag

The great number of faults is single-phase line to ground fault (SLGF). In this

case, single phase to ground fault is analyzed. This fault occurs on Phase-C. The

phase voltage decreases to 70% from its nominal value during the period of 0.3-0.4 s.

In this fault, phase jump occurs between source-side and load-side voltages.

Phase jump is compensated by using presag compensation method.

Figure 5.5. Simulation results for Case 1

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Figure 5.6. DC link voltage for Case 1

DC link capacitor voltage is kept at reference value (1.7 kV) by DC-DC

Converter. DC link capacitor voltage (Vcap) varies between 1.655-1.68 kV band when

the voltage sag occurs as it is seen from Figure 5.6. As soon as the sag is finished, dc

link voltage (Vc) returns to its steady state value.

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RMS characteristics of Phase A, Phase B and Phase C voltages are seen in

Figure 5.7 when single phase voltage sag occurs on Phase C.

Figure 5.7. RMS Characterisics for Case 1

5.2.1.2. Case 2: Two Phase Voltage Sag

A and B phase source voltage decreases to 70% from its nominal value

during the period of 0.3-0.4 s. In A and B phases, phase jump occurs between

source-side and load-side voltages. DVR operation for double line to ground fault is

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seen in Figure 5.18. Figure 5.8 (a) and 5.8 (b) show the simulation results of source-

side voltages and injected voltages under double-phase to ground fault. The load

voltage is maintained at the desired 1 p.u. as shown in Figure 5.8 (c).

Figure 5.8. Simulation results for Case 2

DC link capacitor voltage is kept at reference value (1.7 kV) by DC-DC

Converter. DC link capacitor voltage (Vcap) varies between 1.627-1.651 kV band

5. SIMULATION RESULTS AND CASE STUDIES Mustafa İNCİ

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when the voltage sag occurs as it is seen from Figure 5.9. As soon as the sag is

finished, dc link voltage (Vc) returns to its steady state value(1.7 kV).

Figure 5.9. DC link voltage for Case 2

RMS characteristics of Phase A, Phase B and Phase C voltages are seen in

Figure 5.10 when two phase voltage sag occurs on Phase A and Phase B.

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Figure 5.10. RMS characteristics for Case 2

5.2.1.3. Case 3: Three Phase Voltage Sag

In this case, three phase balanced fault occurs. A, B and C phase source

voltages decrease to 70% from its nominal value during the period of 0.3-0.4 s. In all

phases, phase jump occurs between source-side and load-side voltages. Figure

5.11 shows the simulation results of source-side, injected and load-side voltages

under three-phase to ground fault. The load voltage is maintained at the desired 1 p.u.

as shown in Figure 5.11.

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Figure 5.11. Simulation results for Case 3

DC link capacitor voltage is kept at reference value (1.7 kV) by DC-DC

Converter. DC link capacitor voltage (Vcap) drops to 1.61 kV when the voltage sag

occurs as it is seen from Figure 5.12. As soon as the sag is finished, dc link voltage

(Vc) returns to its steady state value(1.7 kV).

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Figure 5.12. DC link voltage for Case 3

RMS characteristics of Phase A, Phase B and Phase C voltages are seen in

Figure 5.13 when three phase balance voltage sag occurs.

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Figure 5.13. RMS characteristics for Case 3

5.2.2. Closed Loop Voltage Control Method

Voltage sag compensation is provided by closed loop method in Case 4, Case

5 and Case 6. Three case studies are presented for the following sag types using

closed loop control method:

§ Single Phase Unbalance Voltage Sag

§ Two Phase Unbalance Voltage Sag

§ Three-phase balanced Voltage Sag

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5.2.2.1. Case 4: Single Phase Voltage Sag

The phase voltage decreases to 70% from its nominal value during the period

of 0.3-0.4 s on Phase-C. In this fault, phase jump occurs between source-side

and load-side voltages. Figure 5.14 shows source-side, injected and load-side

voltages, respectively.

Figure 5.14. Simulation results for Case 4

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Figure 5.15. DC link voltage for Case 4

DC link capacitor voltage is kept at reference value (1.7 kV) by DC-DC

Converter. DC link capacitor voltage (Vcap) varies between 1.66-1.683 kV band when

the voltage sag occurs as it is seen from Figure 5.15. As soon as the sag is finished,

dc link voltage (Vc) returns to its steady state value.

RMS characteristics of Phase A, Phase B and Phase C voltages are seen in

Figure 5.16 when single phase voltage sag occurs on Phase C.

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Figure 5.16. RMS characterisics for Case 4

5.2.2.2. Case 5: Two Phase Voltage Sag

A and B phase source voltage decreases to 70% from its nominal value

during the period of 0.3-0.4 s. In A and B phases, phase jump occurs between

source-side and load-side voltages. DVR operation for double line to ground fault is

seen in Figure 5.17. It shows the simulation results of source-side, injected and load-

side voltages under double-phase to ground fault. The load voltage is maintained at

the desired 1 p.u. as shown in Figure 5.17.

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Figure 5.17. Simulation results for Case 5

DC link capacitor voltage is kept at reference value (1.7 kV) by DC-DC

Converter. DC link capacitor voltage (Vcap) varies between 1.63-1.655 kV band when

the voltage sag occurs as it is seen from Figure 5.18. As soon as the sag is finished,

dc link voltage (Vc) returns to its steady state value(1.7 kV).

5. SIMULATION RESULTS AND CASE STUDIES Mustafa İNCİ

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Figure 5.18. DC link voltage for Case 5

RMS characteristics of Phase A, Phase B and Phase C voltages are seen in

Figure 5.19 when two phase voltage sag occurs on Phase C.

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Figure 5.19. RMS characteristics for Case 5

5.2.2.3. Case 6: Three Phase Voltage Sag

In this case, three phase balanced fault occurs. A, B and C phase source

voltages decrease to 70% from its nominal value during the period of 0.3-0.4 s. In all

phases, phase jump occurs between source-side and load-side voltages. Figure

5.20 shows the simulation results source-side voltages and injected voltages under

three-phase to ground fault. The load voltage is maintained at the desired 1 p.u. as

shown in Figure 5.20.

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Figure 5.20. Simulation results for Case 6

DC link capacitor voltage is kept at reference value (1.7 kV) by DC-DC

Converter. DC link capacitor voltage (Vcap) drops to 1.615 kV when the voltage sag

occurs as it is seen from Figure 5.21. As soon as the sag is finished, dc link voltage

(Vc) returns to its steady state value(1.7 kV).

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Figure 5.21. DC link voltage for Case 6

RMS characteristics of Phase A, Phase B and Phase C voltages are seen in

Figure 5.22 when three phase balance voltage sag occurs.

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Figure 5.22. RMS characteristics for Case 6

5.2.3. Comparison of Voltage Control Methods

Control methods are required to get the output compensation voltage

according to a reference value (Kim et al., 2005). The accuracy and dynamic

operation of dynamic voltage restorer is an important issue. Table 5.8 shows the

comparison results of open loop and closed loop control methods.

5. SIMULATION RESULTS AND CASE STUDIES Mustafa İNCİ

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Table 5.8. Comparison and RMS values of phase voltages in open loop and close loop control method

RMS Values Of Phase Voltages

Fault Type Open Loop Closed Loop

Va Vb Vc Va Vb Vc

Single Phase Fault 6.35 6.35 6.17 6.35 6.35 6.35

Two Phase Fault 6.15 6.15 6.35 6.32 6.32 6.35

Three Phase Fault 6.1 6.075 6.08 6.27 6.26 6.25

As it is seen from simulation results, closed loop shows better performance

than open loop control method. Also, simulation results show the effectiveness of

closed loop control method against open loop method. It is clear that injected voltage

in close loop has more sinusoidal shape than injected voltage than open loop. Closed

loop regulate the output voltage and keeps it constant at the side where a nonlinear

load is connected.

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6. CONCLUSION Mustafa İNCİ

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6. CONCLUSION

The most severe power quality problems in electrical systems are called as

voltage sag and swell. Dynamic Voltage Restorer (DVR) is an effective solution to

solve these power quality problems. Dynamic voltage restorer is a series connected

device located between sensitive/nonlinear load and grid in system, it both detects

voltage sag/swell problems and injects controlled voltage to system. In this study, multilevel inverter based DVR with DC-DC converter is

modeled using PSCAD/EMTDC. The proposed DVR is designed for medium

voltage level (11 kV) system. DVR in a three phase system is designed to protect 1

MVA nonlinear load. The voltage sags with phase 12 jump are generated by

controlled short circuit impedance in the grid.

The basic elements and trends in literature are described in Chapter 3. The

design parameters for a DVR are given in Chapter 4. Control strategies are also

explained in this chapter. Two voltage injection strategies (Presag, Inphase) are

implemented and tested. When phase jump occurs in system, In-Phase and Pre-sag

methods show similar performance. If phase between source-side and load-side

consist of phase jump, Pre-Sag compensation method represents better performance

than in-phase compensation method.

SRF based control technique is used to detect and extract the PQ disturbances

in system. Also, EPLL and SOGI-PLL are used to detect and extract the voltage sag

and swell. SOGI-PLL is a new method to extract voltage magnitude and phase angle

simultaneously. The comparison results of EPLL, SRF and SOGI-PLL are presented

in simulation results.

The accuracy and dynamic operation of dynamic voltage restorers is an

important issue. In available literature, there are two voltage control systems used in

DVR applications: open loop and closed loop. Error signals are obtained by using

closed loop and open loop voltage control strategies in proposed study. It is

observed that rms characteristics in closed loop system have more smooth shape than

injected voltage in open loop system.

6. CONCLUSION Mustafa İNCİ

110

The inverter circuit in DVR is used to inject controlled voltage and maintain

the desired output voltage. The most common inverter topologies in literature are the

two- or three-level three-phase converter used in DVR. For high power applications,

the use of two-level voltage converters becomes difficult to perform because of

switch ratings and efficiencies. To prevent this condition, the symmetrical five level

diode-clamp inverter is selected in proposed DVR. Symmetrical five level diode-

clamped inverter consists of two single phase three level diode clamped inverter for

each phases. In this wise, it can compensate balanced and unbalanced voltage

sag/swell. It has advantages compared with cascade and diode clamped mutilevel

inverters such as reduction the quantity, size and dimension of dc-link capacitors

with lower cost. Sinusoidal Pulse Width Modulation (SPWM) based control scheme

is chosen for the proposed multilevel inverter, two carrier based modulation

technique for each diode clamped inverter has been presented and explained in this

thesis.

DC link voltage is an important issue when voltage sag occurs. To keep dc

link voltage constant and to compensate deep and long duration voltage sag, DC-DC

converter is employed. Full-Bridge isolated DC-DC converter is used in proposed

DVR. The controller design procedures of the full bridge isolated dc/dc converter are

presented. The simulation results show its effectiveness in DC link capacitor and

keep it constant.

In Chapter 6, the simulation results of proposed DVR are presented. System

is constructed in PSCAD/EMTDC. Firstly, simulation is performed for different sag

detection methods, voltage control strategies and voltage injection techniques.

Secondly, simulation results are initiated for different voltage sag cases using open

loop and closed loop voltage control methods. Source-side, load-side, injected

voltages and DC-link voltages are given in simulation results. The proposed system

shows that sag compensation is restored successfully.

Voltage sags are the most important power quality problems in industrial areas.

DVR is the most effective solution to compensate the disturbances. To reduce cost

and improve performance of DVR, studies continue in the following topics.

6. CONCLUSION Mustafa İNCİ

111

§ Energy optimization

§ Elimination of injection transformers

§ Energy Storage Unit (SMES, PV, Supercapacitor)

§ DC-DC Converter to keep DC link voltage constant

§ Transformer problems

§ Reducing the number of components

§ Multiple functions of DVR

§ High voltage applications

§ Multilevel inverter based DVR structures

§ AC-AC converter based DVR structures

§ Elimination of DC link capacitors

By performing trend topics, higher efficiency and lower cost can be achieved

compared with available systems.

112

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BIOGRAPHY

Mustafa İNCİ was born in Şanlı Urfa, Turkey in 1987. He received his B.S.

degree in Electrical and Electronics Engineering Department from Çukurova

University in 2011. After completion his B.S. education, he started MSc education in

Electrical and Electronics Engineering Department in Çukurova University in 2011.

He has been working as a Research Assistant in Electrical and Electronics

Engineering Department of the Çukurova University since 2011. His research areas

are Power Quality, Power Electronics, Renewable Energy and Energy Efficiency.

122

123

APPENDIX

124

125

LIST OF PUBLICATIONS

International Conferences

§ DEMIRDELEN, T., INCI, M., BAYINDIR, K.C., TUMAY, M., 2013. Review of Hybrid Active Power Filter Topologies and Controllers, 4th International Conference on Power Engineering, Energy and Electrical Drives, POWERENG-2013, 13-17 May, Istanbul in Turkey

§ KOROGLU, T., INCI, M., BAYINDIR, K.C., TUMAY, M., 2013. Modeling and Analysis of a Nonlinear Adaptive Filter Control for Interline Unified Power Quality Conditioner, 4th International Conference on Power Engineering, Energy and Electrical Drives, POWERENG-2013, Istanbul in Turkey

National Conferences

• INCI, M., KOROGLU, T., BAYINDIR, K.C., TUMAY, M., 2013. Şebeke Gerilim Değişimlerini Sezme Amaçlı Kontrol Metodlarının İncelenmesi ve Performanslarının Değerlendirilmesi(Turkish), V. Enerji Verimliliği Ve Kalitesi Sempozyumu 2013, Kocaeli, Page(s): 180-184

• DEMİRDELEN, T., TAN, A., İNCİ, M., KÖROĞLU, T., BÜYÜK, M., TERCİYANLI, A., BAYINDIR, K.K., TÜMAY, M., 2013. Şebekeye Bağlı Sistemler için Üç Faz ve Tek Faz PLL’lerin Performans Değerlendirmesi(Turkish), V. Enerji Verimliliği Ve Kalitesi Sempozyumu 2013, Kocaeli , Page(s): 5-9

126

EQUATIONS