Analysis of Subsynchronous Resonance in Power Systems

by Padiyar, K. R.

• ISBN13: 9780792383192
• ISBN10: 0792383192
• Format: Hardcover
• Copyright: 1998-10-01
• Publisher: Kluwer Academic Pub

Summary

This book presents comprehensive mathematical models of turbine-generators, HVDC and FACTS controllers, and small signal analysis of SSR. The emphasis is on the analysis using linearized models. Both damping torque and eigenvalue analysis are covered. Also included are the basic concepts of SSR interactions with fixed series compensation, PSS, HVDC, and FACTS controllers. Timely treatment has been given to the development of electrical analogue for the rotor system, the derivation of the network equations based on circuit topology and immittance functions using D-Q variables. The material is supported by several illustrative examples and case studies based on IEEE benchmark models. Analysis of Subsynchronous Resonance in Power Systems is an invaluable reference work for power systems researchers, system planners, and designers.

Table of Contents

Preface
1. INTRODUCTION	1	(16)
1.1 General	1	(3)
1.2 Definitions of SSR	4	(3)
1.3 Interactions with power system controllers	7	(1)
1.4 FACTS Controllers	8	(4)
1.5 Methods of Analysis of SSR	12	(4)
1.6 Chapter outline	16	(1)
2. MODELLING OF TURBINE GENERATOR	17	(46)
2.1 Introduction	17	(1)
2.2 Synchronous machine model	18	(4)
2.3 Park's transformation	22	(8)
2.4 Per unit quantities	30	(5)
2.5 Operational impedances and equivalent circuits	35	(6)
2.6 Modelling of excitation control system	41	(2)
2.7 Modelling of turbine generator mechanical system	43	(12)
2.8 Modelling of turbine and governor	55	(1)
2.9 Modelling and analysis of the mechanical and prime mover system	56	(3)
2.10 Synchronous generator modelling for transient simulation	59	(4)
3. MODELLING OF THE ELECTRIC NETWORK	63	(20)
3.1 Introduction	63	(1)
3.2 Transmission lines	64	(4)
3.3 Transformation using Alpha - Beta variables	68	(2)
3.4 State equations	70	(4)
3.5 Interface between the network and generator	74	(1)
3.6 Impedance functions	75	(3)
3.7 Simulation of electromagnetic transients	78	(5)
4. ANALYSIS OF SSR WITH FIXED SERIES COMPENSATION	83	(38)
4.1 Introduction	83	(1)
4.2 Analysis of induction generator effect: frequency scanning method	83	(4)
4.3 Analysis of torsional interaction(TI)	87	(9)
4.4 State equations and eigenvalue analysis	96	(12)
4.5 An algorithm for computing torsional modes	108	(3)
4.6 Countermeasures for SSR	111	(9)
4.7 Torsional oscillations in parallel connected turbine generators	120	(1)
5. INTERACTIONS WITH POWER SYSTEM STABILIZER	121	(16)
5.1 Introduction	121	(1)
5.2 Basic concept in the application of PSS	122	(4)
5.3 Design of PSS	126	(4)
5.4 Torsional interaction with PSS	130	(2)
5.5 A case study	132	(5)
6. INTERACTIONS WITH HVDC CONVERTER CONTROL	137	(32)
6.1 Introduction	137	(1)
6.2 HVDC converters and control	138	(9)
6.3 Modelling of HVDC system for study of torsional interactions	147	(6)
6.4 Analysis of torsional interactions -- A simplified approach	153	(3)
6.5 A case study	156	(5)
6.6 A simplified damping torque analysis	161	(6)
6.7 Control of torsional interaction	167	(2)
7. INTERACTIONS WITH SHUNT COMPENSATORS	169	(36)
7.1 Introduction	169	(2)
7.2 Static Var Compensator	171	(15)
7.3 Torsional Interactions with SVC	186	(3)
7.4 Static Condenser (STATCON)	189	(7)
7.5 Torsional interactions with STATCON	196	(4)
7.6 A simplified analysis of torsional interaction with voltage controller	200	(5)
8. INTERACTIONS WITH SERIES COMPENSATORS	205	(34)
8.1 Introduction	205	(1)
8.2 Thyristor Controlled Series Compensator	206	(10)
8.3 Modelling of TCSC for SSR studies	216	(7)
8.4 Mitigation of SSR with TCSC	223	(6)
8.5 Static Synchronous Series Compensator (SSSC)	229	(5)
8.6 Torsional interactions with SSSC	234	(5)
Appendices	239	(12)
A--Data on IEEE Benchmark Models	239	(6)
A.1 IEEE First Benchmark Model (FBM)	239	(2)
A.2 IEEE Second Benchmark Model (SBM)	241	(4)
B--Calculation of Initial Conditions	245	(4)
C--Abbreviations	249	(2)
References and Bibliography	251	(10)
Index	261