.PowerGrids.Electrical.Machines.SynchronousMachine4WindingsInternalParameters

Synchronous machine with 4 windings - internal parameters

Information

Model of a sychronous machine with four windings. The transformer voltage terms are neglected if neglectTransformerTerms=true. The model parameters refer directly to internal physical parameters such as inductances and resistances.

The model is taken from the theory manual of the Eurostag software. For consistency with the base class OnePortACdq, however, the currents ifPu, idPu and iqPu are all assumed to be positive entering, while the Eurostag manual assumes them to be all positive leaving. Therefore, all the current and fluxes have an opposite sign in the Park equations.

This model is in fact equivalent to the model described in Kundur, Power Systems Stability and Control, Chapter 3, except for the current sign conventions, which in that case are assumed to be positive entering for the rotor winding and positive leaving for the direct and quadrature stator axes. The correspondance of the parameter symbols is given in the table, all parameters are in p.u. referred to the machine rated values.

PowerGrids Kundur Meaning
raPu Ra Armature resistance
rDPu R1d Resistance of the direct axis damper
rfPu Rfd Resistance of the excitation windings
rQ1 R1q Resistance of the quadrature axis 1st damper
rQ2 R2q Resistance of the quadrature axis 2nd damper
MdPu Lad Direct axis mutual inductance
MqPu Laq Quadrature axis mutual inductance
LdPu Ll Direct axis stator leakage
LqPu Ll Quadrature axis stator leakage
LDPu L1d Direct axis damper leakage
LQ1Pu L1q Quadrature axis 1st damper leakage
LQ2Pu L2q Quadrature axis 2nd damper leakage
LfPu Lfd Excitation winding leakage
mrcPu Lfld-Lad Canay's mutual inductance

Two different choices of base excitation voltage are available


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