Study on the implementation of the phase-domain model for rotating electrical machines

For the dynamic simulation of rotating electrical machines, the phase-domain model brings many advantages in terms of accuracy, efficiency and flexibility. In particular, it allows one to naturally take into account space harmonics and saturation. We discuss here the implementation of the phase-domain model with lookup tables for both the linear and nonlinear cases. First, we compare various implementations of the linear phase-domain model with the classical dq-model. In addition, we examine the execution time and the error introduced by the lookup tables. Then, we propose a simple implementation of the nonlinear phase-domain model using a N-dimensional lookup table representing the winding currents as functions of the rotor angle and the winding flux linkages. We show how to obtain this table from the flux linkage-current relationship. Finally, we compare the nonlinear phase-domain results with the finite element model.