By K.R. Padiyar
4. 2 research of induction generator impact: frequency scanning strategy eighty three four. three research of torsional interaction(TI) 87 four. four kingdom equations and eigenvalue research ninety six four. five An set of rules for computing torsional modes 108 four. 6 Countermeasures for SSR III four. 7 Torsional oscillations in parallel attached turbine turbines a hundred and twenty 121 five. INTERACTIONS WITH energy approach STABILIZER five. 1 creation 121 five. 2 simple inspiration within the program of PSS 122 five. three layout of PSS 126 five. four Torsional interplay with PSS a hundred thirty five. five A case learn 132 6. INTERACTIONS WITH HVDC CONVERTER regulate 137 6. 1 creation 137 6. 2 HVDC converters and keep an eye on 138 6. three Modelling of HVDC procedure for research of torsional interactions 147 6. four research of torsional interactions -A simplified strategy 153 6. five A case learn 156 6. 6 A simplified damping torque research 161 6. 7 keep watch over of torsional interplay 167 7. INTERACTIONS WITH SHUNT COMPENSATORS 169 7. 1 advent 169 7. 2 Static Var Compensator 171 7 . three Torsional Interactions with SVC 186 7. four Static Condenser(STATCON) 189 7. five Torsional interactions with STATCON 196 7. 6 A simplified research of torsional interplay with voltage controller 2 hundred eight. INTERACTIONS WITH sequence COMPENSATORS 205 eight. 1 advent 205 eight. 2 Thyristor managed sequence Compensator 206 eight. three Modelling of TCSC for SSR reports 216 eight. four Mitigation of SSR with TCSC 223 eight. five Static Synchronous sequence Compensator (SSSC) 229 8.
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7. 81) Remarks 1. From the d- and q-axis equivalent circuits, it can be inferred that Xd(S) and Xq(s) are impedance functions of R-C networks. These have the property [Ternes and Lapatra (1977)]: MODELLING OF TURBINE GENERATOR 39 (i) poles and zeroes lie on the negative real axis and they alternate. (ii) the nearest to the origin is a pole 2. 7, the following equations can be derived. /, 'Pd ". 87). 91) 40 ANALYSIS OF SUBSYNCHRONOUS RESONANCE IN POWER SYSTEMS where x! k = [Vd Vq ] Y; = lid iq ] U: The nonzero elements of [Ae], [Bed, [Bd and [C e] are defined below.
The low frequency oscillations correspond to the mode zero. 119) that in the absence of torsional oscillations, only zeroth mode is present in which all the rotors participate equally. As there is no relative motion among rotors (in the absence of torsional oscillations), it is in order to club all the turbine inertias together with the generator rotor. 2. One of the reason for this is that the damping is normally known in terms of modal damping (determined from decrement tests). Also the 'N' second order equations (for N modes including mode zero) are all uncoupled.
This is due to the fact that the inductance matrix [L] is time varying and the computation of inverse of [L] is required. It would be advantageous if the time-varying machine equations can be transformed to a time invariant set. This would result in the simplification of the MODELLING OF TURBINE GENERATOR 23 calculations both for steady state and transient conditions. 17) where fa can be either voltage, current or flux linkage of the stator winding a (a = a, b or c). [C p ] is defined by kdCOSe kqsine kqsin(e - 27r/3) kqsin(e + 27r/3) [Cp] = [ kdCOS(e - 27r/3) kdCOS(e + 27r/3) 1 ko ko ko where k d, kq and ko are constants appropriately chosen.