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4. 2 Analysis of induction generator effect: frequency scanning method 83 4. 3 Analysis of torsional interaction(TI) 87 4. 4 State equations and eigenvalue analysis 96 4. 5 An algorithm for computing torsional modes 108 4. 6 Countermeasures for SSR III 4. 7 Torsional oscillations in parallel connected turbine generators 120 121 5. INTERACTIONS WITH POWER SYSTEM STABILIZER 5. 1 Introduction 121 5. 2 Basic concept in the application of PSS 122 5. 3 Design of PSS 126 5. 4 Torsional interaction with PSS 130 5. 5 A case study 132 6. INTERACTIONS WITH HVDC CONVERTER CONTROL 137 6. 1 Introduction 137 6. 2 HVDC converters and control 138 6. 3 Modelling of HVDC system for study of torsional interactions 147 6. 4 Analysis of torsional interactions -A simplified approach 153 6. 5 A case study 156 6. 6 A simplified damping torque analysis 161 6. 7 Control of torsional interaction 167 7. INTERACTIONS WITH SHUNT COMPENSATORS 169 7. 1 Introduction 169 7. 2 Static Var Compensator 171 7 . 3 Torsional Interactions with SVC 186 7. 4 Static Condenser(STATCON) 189 7. 5 Torsional interactions with STATCON 196 7. 6 A simplified analysis of torsional interaction with voltage controller 200 8. INTERACTIONS WITH SERIES COMPENSATORS 205 8. 1 Introduction 205 8. 2 Thyristor Controlled Series Compensator 206 8. 3 Modelling of TCSC for SSR studies 216 8. 4 Mitigation of SSR with TCSC 223 8. 5 Static Synchronous Series Compensator (SSSC) 229 8.

Analysis of Subsynchronous Resonance in Power Systems

1. Introduction.- 1.1 General.- 1.2 Definitions of SSR.- 1.3 Interactions with power system controllers.- 1.4 FACTS Controllers.- 1.5 Methods of Analysis of SSR.- 1.6 Chapter outline.- 2. Modelling of Turbine Generator.- 2.1 Introduction.- 2.2 Synchronous machine model.- 2.3 Park's transformation.- 2.4 Per unit quantities.- 2.5 Operational impedances and equivalent circuits.- 2.6 Modelling of excitation control system.- 2.7 Modelling of turbine generator mechanical system.- 2.8 Modelling of turbine and governor.- 2.9 Modelling and analysis of the mechanical and prime mover system.- 2.10 Synchronous generator modelling for transient simulation.- 3. Modelling of the Electric Network.- 3.1 Introduction.- 3.2 Transmission lines.- 3.3 Transformation using ? - ? variables.- 3.4 State equations.- 3.5 Interface between the network and generator.- 3.6 Impedance functions.- 3.7 Simulation of electromagnetic transients.- 4. Analysis of SSR with Fixed Series Compensation.- 4.1 Introduction.- 4.2 Analysis of induction generator effect: frequency scanning method.- 4.3 Analysis of torsional interaction(TI).- 4.4 State equations and eigenvalue analysis.- 4.5 An algorithm for computing torsional modes.- 4.6 Countermeasures for SSR.- 4.7 Torsional oscillations in parallel connected turbine generators.- 5. Interactions with Power System Stabilizer.- 5.1 Introduction.- 5.2 Basic concept in the application of PSS.- 5.3 Design of PSS.- 5.4 Torsional interaction with PSS.- 5.5 A case study.- 6. Interactions with HVDC Converter Control.- 6.1 Introduction.- 6.2 HVDC converters and control.- 6.3 Modelling of HVDC system for study of torsional interactions.- 6.4 Analysis of torsional interactions - A simplified approach.- 6.5 A case study.- 6.6 A simplified damping torque analysis.- 6.7 Control of torsional interaction.- 7. Interactions with Shunt Compensators.- 7.1 Introduction.- 7.2 Static Var Compensator.- 7.3 Torsional Interactions with SVC.- 7.4 Static Condenser(STATCON).- 7.5 Torsional interactions with STATCON.- 7.6 A simplified analysis of torsional interaction with voltage controller.- 8. Interactions with Series Compensators.- 8.1 Introduction.- 8.2 Thyristor Controlled Series Compensator.- 8.3 Modelling of TCSC for SSR studies.- 8.4 Mitigation of SSR with TCSC.- 8.5 Static Synchronous Series Compensator (SSSC).- 8.6 Torsional interactions with SSSC.- Appendices.- A- Data on IEEE Benchmark Models.- A.1 IEEE First Benchmark Model ( FBM ).- A.2 IEEE Second Benchmark Model ( SBM ).- B- Calculation of Initial Conditions.- C- Abbreviations.- References and Bibliography.