In the paper two power-invariant real and complex state space transformations for modeling multi-phase electrical machines in a compact and general form are proposed. In particular the paper deals with the modeling of multi-phase permanent magnet synchronous machines with an arbitrary number of phases and an arbitrary shape of the rotor flux. The dynamic model of the motor is obtained using a Lagrangian approach and in the frame of the Power-Oriented Graphs technique. The obtained models are equivalent from a mathematical point of view and can be directly implemented in Simulink. The complex transformed model is quite compact and uses a reduced order state vector. Some simulation results end the paper.
Complex Dynamic Models of Multi-phase Permanent Magnet Synchronous Motors / Zanasi, Roberto; Grossi, Federica; Fei, Marco. - ELETTRONICO. - (2011), pp. 12183-12188. (Intervento presentato al convegno IFAC 2011 World Congress tenutosi a Milan, Italy nel 28 August - 2 September 2011) [10.3182/20110828-6-IT-1002.01375].