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Download Analysis of Subsynchronous Resonance in Power Systems by K.R. Padiyar PDF

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 country 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 energy method STABILIZER five. 1 advent 121 five. 2 easy proposal within the software of PSS 122 five. three layout of PSS 126 five. four Torsional interplay with PSS one hundred thirty five. five A case research 132 6. INTERACTIONS WITH HVDC CONVERTER regulate 137 6. 1 advent 137 6. 2 HVDC converters and keep an eye on 138 6. three Modelling of HVDC process for examine of torsional interactions 147 6. four research of torsional interactions -A simplified process 153 6. five A case research 156 6. 6 A simplified damping torque research 161 6. 7 keep an eye on 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 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 experiences 216 eight. four Mitigation of SSR with TCSC 223 eight. five Static Synchronous sequence Compensator (SSSC) 229 8.

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4. I1.. 5. 6. 79) Often, the d-axis equivalent circuit is simplified by assuming X rc = 0 ( as the parameter X rc is usually not known). Alternatively if it is assumed that T~~ = T~' ( in the expression for G(s)) it can be shown that Fig. 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.

This fact combined with the identity of per unit quantities implies that the equations (in per unit) in both systems are identical (except for the differences in the orientation of dand q-axes) thus eliminating the confusion about different versions of Park's transformation. 3. Anderson and Fouad (1977) use different base quantities for voltage and current along with power-invariant Park's transformation. They define VB as (rms) rated line to neutral voltage and IB as rms line current. Although this results in identical base impedance as defined before, the per unit voltages, currents and fluxes are different which leads to different equations using inconvenient factors (of )3).

41) in Eq. 4 3 2Laa2 = Lq 3 + 2Laa2 = Laao - LabO Choice of constants kd , kq and ko The transformation [Cp ] defined by Eq. 18) is most general as no assumptions are made regarding the constants kd , kq and ko . S. of Eq. e. 49) The major advantage of a power invariant transformation is that the mutual inductances in the transformed network are reciprocal. For example, Md'J VI, = MkdaJ and M Jd = 2"3 M aJ k d MdJ = MJd = ftMa J For kd = In what follows, we will use a power invariant transformation by selecting the following values kd = /J = k q, ko = If As mentioned earlier, the positive value of kq indicates that q-axis is lagging the direct axis, whereas in the original transformation by Park, q-axis is assumed to lead d-axis.

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