By K.R. Padiyar
4. 2 research of induction generator impression: frequency scanning procedure eighty three four. three research of torsional interaction(TI) 87 four. four nation 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 hooked up turbine turbines a hundred and twenty 121 five. INTERACTIONS WITH strength procedure STABILIZER five. 1 advent 121 five. 2 simple suggestion within the software of PSS 122 five. three layout of PSS 126 five. four Torsional interplay with PSS a hundred thirty five. five A case research 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 process for research of torsional interactions 147 6. four research of torsional interactions -A simplified method 153 6. five A case examine 156 6. 6 A simplified damping torque research 161 6. 7 regulate of torsional interplay 167 7. INTERACTIONS WITH SHUNT COMPENSATORS 169 7. 1 creation 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 two hundred eight. INTERACTIONS WITH sequence COMPENSATORS 205 eight. 1 creation 205 eight. 2 Thyristor managed sequence Compensator 206 eight. three Modelling of TCSC for SSR stories 216 eight. four Mitigation of SSR with TCSC 223 eight. five Static Synchronous sequence Compensator (SSSC) 229 8.
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It can be shown that [Q] is also the matrix of eigenvectors of the matrix [M]-l[I<]. However the latter is not a symmetric matrix. In general, the vectors of matrix [Q] are not orthogonal. 4. 134) 5. The column vectors of the matrix [Q] are also called as mode shapes. The elements of a vector determine the participation of different masses (in relation to that of the generator rotor) in a particular mode of torsional oscillations. 6 State equations The state equations for the mechanical system can be expressed either based on (a) coupled multimass model or (b}decoupled modal model.
In what follows, the per unit quantities will be used and denoted (for convenience) without placing any bar on the symbols. 71) where T~o and T~~ are termed as the direct axis, open circuit transient and subtransient time constants respectively. T~ and T~' are defined as the short circuit transient and subtransient time constants. Similar nomenclature applies to the quadrature axis time constants. The above equations show that the expressions for 'lj;d and 'lj;q require the knowl' Tildo' T'd' Tild an d Til) ed ge 0 f fi ve (Tdo' de an d t'lour (T'qo' Tilqo' T'q' Til) q parameters apart from Xd and x q .
Hence, whenever there is no ambiguity, the subscript 'm' can be dropped for the angle and only J is used to denote the generator rotor angle. 12. The one port passive network consists of only passive elements R,L and C. In deriving this network, the mechanical torques are treated as constants, hence the current sources corresponding to small variations in these torques vanish. 108) If the damping is neglected, the impedance function Zm (s) corresponds to that of L-C network and can be expressed as [Ternes and Lapatra (1977)] (s2jJi + l)(s2jJ~ + 1) ....
Analysis of Subsynchronous Resonance in Power Systems by K.R. Padiyar