This approximation of a three-phase synchronous machine using phasor domain for the electrical subsystem is based on the behaviour of the steady-state equivalent circuit of such a machine. This behaviour is defined by appropriate equations. The machine is an extension of the partial Interface package model PartialBasicElectricMachine3ph_wBalance of an electric three-phase machine including the current balances.
The model has two electrical connectors of type ComplexPlug (which correspond to six connectors of type ComplexPin) and one mechanical rotational flange. The stator is assumed to be fixed in the housing.

The electrical submodel has three phases if the default value of the 'number of phases'-parameter m is used. In order to model a system with different number of phases, the 'number of phases'-parameter has to be changed in all appearing multi-phase components and connectors.
Each phase consists of a constant inductance (stator's self-inductance) and an electromagnetic force (emf) realising the effect of the rotor current on the stator via the mutual inductance. All inductances are assumed to be ideal (electrically linear, no saturation).
The mechanical submodel contains a shaft which is fixed to the rotor.

Using this model, one can carry out steady-state or quasi-stationary investigations of the electrical subsystem. The mechanical subsystem may show transient behaviour which must be sufficiently slow.

To ensure that the phasor domain-based model works in a quasi-stationary mode, the torque angle δ (also called rotor displacement angle) may alter only very slowly in comparison with both the nominal frequency f=ω/(2π) and the dominant time constant of the electrical subsystem.

Main Author:
Olaf Enge-Rosenblatt
Fraunhofer IIS/EAS, Dresden
email: olaf.enge@eas.iis.fraunhofer.de

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