## Analysis of Subsynchronous Resonance in Power Systems4. 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. |

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### Contents

II | 1 |

III | 4 |

IV | 7 |

V | 8 |

VI | 12 |

VII | 16 |

VIII | 17 |

IX | 18 |

XXXII | 122 |

XXXIII | 126 |

XXXIV | 130 |

XXXV | 132 |

XXXVI | 137 |

XXXVII | 138 |

XXXVIII | 147 |

XXXIX | 153 |

X | 22 |

XI | 30 |

XII | 35 |

XIII | 41 |

XIV | 43 |

XV | 55 |

XVI | 56 |

XVII | 59 |

XVIII | 63 |

XIX | 64 |

XX | 68 |

XXI | 70 |

XXII | 74 |

XXIII | 75 |

XXIV | 78 |

XXV | 83 |

XXVI | 87 |

XXVII | 96 |

XXVIII | 108 |

XXIX | 111 |

XXX | 120 |

XXXI | 121 |

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### Common terms and phrases

ac line AC network analysis armature assumed block diagram capacitive capacitor voltage coil connected constant corresponding current control d-axis damping torque coefficient dc voltage defined derived destabilized eigenvalues eigenvectors electrical network electrical resonance electrical torque equivalent circuit excitation system expressed FACTS controllers Figure fixed series compensation flux linkages given harmonics HVDC converter HVDC link HVDC system increase inductance input inverter line current linearized load low frequency oscillations magnitude matrix modal inertia mode zero modulation negative damping operating oscillations parameters Park's transformation phase power flow pulse q-axis reactance reactive current reactive power reactor rectifier rotor electrical shaft shown in Fig shunt simplified SSR problem SSSC STATCON Static Var Compensators stator subsynchronous frequency swing mode switching synchronous machine TCSC Thyristor Controlled torsional filter torsional interactions torsional modes transfer function transmission line turbine valves variables voltage control voltage regulator voltage source XTCSC

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