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Simulation of Power System with Renewables

Linash Kunjumuhammed, Stefanie Kuenzel, Bikash Pal

 

Verlag Elsevier Reference Monographs, 2019

ISBN 9780128112540 , 268 Seiten

Format PDF, ePUB, OL

Kopierschutz DRM

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105,00 EUR


 

SIMULATION OF POWER SYSTEM WITH RENEWABLES

2

SIMULATION OF POWER SYSTEM WITH RENEWABLES

4

Copyright

5

Dedication

6

Contents

8

About the authors

12

Preface

14

One - Introduction

18

1.1 Power system – history of development (Kundur)

18

1.2 Power system frequency

22

1.3 Phasors in AC systems

23

1.4 Per unit systems

24

1.5 Steady state in power system

25

1.6 Stability issues in power system

26

1.7 Mathematical representation of power system

29

1.8 Simulation in Matlab

30

1.9 Assumptions

31

1.10 Summary

32

Further reading

32

Two - Transmission network modelling

34

2.1 Admittance matrix

34

2.2 Example

37

2.3 Power flow computation

37

2.4 Formulation of jacobian

40

2.5 Example of three-bus system

41

2.6 Power flow implementation

44

2.7 Study case: four-machine system

45

2.8 Exercise

46

2.9 Exercise

50

2.10 Including the network in the Simulink time domain simulation

50

2.11 Conclusions

54

References

55

Three - Synchronous machine modelling

56

3.1 Synchronous machine introduction

56

3.2 Synchronous machine operation

57

3.3 Reference frame

59

3.4 Dynamic equations of a synchronous machine in d-q reference frame

67

List of variables:

70

3.5 Initialization of the dynamic model

70

3.6 Simulink modelling

77

3.7 Study case: single machine infinite bus test system time domain results

85

3.8 Dynamic models of synchronous machines

87

3.9 Simulation model of the two-area test system

91

3.9.1 Simulink block representing multiple synchronous machines

92

References

97

Four - Analysis and controller design ideas

98

4.1 System representations and dynamic response

98

4.1.1 Stability of the linear system

100

4.1.1.1 Exercise 4.1

100

4.2 Power system model for analysis

106

4.3 Linearization and state space representation

106

4.4 Eigenvalues, eigenvectors and participation factor

109

4.4.1 Exercise 4.2

110

4.5 Transfer function and ZPK representation

112

4.6 Root locus, Bode plot, Nichols plot and Nyquist plot

112

4.7 Analysis of stable system

116

4.7.1 Root locus plots

116

4.7.2 Bode, Nichols and Nyquist plots

117

4.8 Analysis of unstable system

117

4.8.1 Linear system analyzer

119

4.9 System response

119

4.10 Controller design

120

4.10.1 PI controller

120

4.10.2 Control System Designer

122

4.10.3 Pole placement

125

4.10.4 Linear Quadratic Regulator controller

128

4.11 Conclusions

129

Five - Load modelling

130

5.1 Types of loads

130

5.2 Descriptions, key equations and integration of ZIP model

131

5.3 Study case: four-machine system using different load models

135

5.4 Initial condition block implementation

137

5.5 Comparison of results

141

5.6 Conclusion of ZIP load modelling

149

Acknowledgement

149

References

149

Six - Wind turbine generator modelling

150

6.1 Introduction

150

6.2 Building blocks of DFIG-SMIB simulation model

151

6.2.1 Network

153

6.2.2 Wind turbine model

154

6.2.2.1 Wind turbine aerodynamic modelling

154

6.2.2.1.1 Simulink representation of turbine model

157

6.2.2.2 Turbine generator mechanical drive train model

159

6.1.3 Doubly fed induction generator

161

6.1.4 LCL filter

166

6.1.5 Back-to-back capacitor

168

6.1.6 Machine-side converter controller

169

6.1.7 Grid-side converter controller

172

6.3 Single machine infinite bus model integration and testing

174

6.3.1 Dynamic simulation

174

6.4 Initialization of SMIB-DFIG system

177

6.5 Further modifications in DFIG-WTG model

183

6.6 Permanent magnet synchronous generator modelling

184

6.6.1 Turbine model

185

6.6.2 Permanent magnet synchronous generator model

185

6.6.3 Machine-side converter controller

186

6.6.4 Back-to-back capacitor, GSC controller, LCL filter and network

187

6.7 Initialization of PMSG-SMIB system

187

6.8 Modal analysis and dynamic simulation results

189

6.9 Simulation of wind farm having DFIG- and PMSG-type WTGs

189

6.9.1 Network representation

194

6.9.2 Wind farm simulink model

194

References

196

Seven - Modelling of solar generation

198

7.1 Description of solar generation

198

7.2 Modelling solar power generators

199

7.3 Western Electricity Coordinating Council generic model

201

7.4 Case study: photovoltaic system model

201

References

219

Eight - Modelling of flexible AC transmission system devices

222

8.1 Introduction

222

8.2 Flexible AC transmission system devices

223

8.2.1 Applications

226

8.2.1.1 Example system using SVC and TCSC

226

8.3 Static VAR Compensator

227

8.3.1 Modelling of static VAR compensator

230

8.4 Thyristor controlled series compensation

230

8.4.1 Modelling of thyristor controlled series compensator

231

8.5 Implementation of SVC and TCSC models

232

8.5.1 Power flow solution considering SVC and TCSC

232

8.5.1.1 Representation of static VAR compensator

234

8.5.1.2 Representation of thyristor controlled series compensator

238

References

241

Nine - Case study of interarea oscillations in power system

242

9.1 Introduction

242

9.2 Analysis of two-area system

242

9.2.1 Participation factor analysis

244

9.3 Two-area system with a thyristor controlled series compensator

245

9.3.1 Simulink model

245

9.3.1.1 Feedback signal selection for power oscillation damping

247

9.3.1.2 Linearization and calculation of residue

247

9.3.1.3 Implementation of power oscillation damping

247

9.3.1.4 Controller performance

251

9.4 Two-area system with a static VAR compensator

253

9.5 Two-area system with wind turbines

253

9.5.1 Building Simulink model

255

9.5.2 Initialization program

259

9.5.3 Simulation results

261

9.6 Conclusions

262

References

262

Index

264

A

264

B

264

C

264

D

264

E

264

F

264

G

264

H

264

I

264

J

264

L

264

M

264

N

265

P

265

R

265

S

265

T

266

U

266

V

266

W

266

Z

267