Title: Real and complex models of multi-phase permanent magnet synchronous motors

Authors: Roberto Zanasi; Federica Grossi; Marco Fei

Addresses: Department of Computer Science and Engineering, Università di Modena e Reggio Emilia, 41125 Modena, Italy ' Department of Computer Science and Engineering, Università di Modena e Reggio Emilia, 41125 Modena, Italy ' Department of Computer Science and Engineering, Università di Modena e Reggio Emilia, 41125 Modena, Italy

Abstract: This paper deals with the modelling of multi-phase permanent magnet synchronous machines (PMSM) with an arbitrary number of phases and arbitrary shape of the rotor flux. The aim of the paper is to propose new dynamic models for the multi-phase electrical machines based on the use of real and complex state space transformations which are invariant with respect to power. The dynamic models of the motor are obtained using a Lagrangian approach in the frame of the power-oriented graphs technique. The obtained dynamic models can directly be implemented in Simulink whatever the number of phase is. The state space transformations presented in the paper (both real and complex) are compared to the main other transformations know in the literature. Some simulation results are finally presented.

Keywords: multi-phase PMSM; permanent magnet synchronous motors; dynamic modelling; power-oriented graphs; POG; state space transformation; simulation.

DOI: 10.1504/IJPEC.2013.053319

International Journal of Power and Energy Conversion, 2013 Vol.4 No.2, pp.127 - 151

Received: 07 Sep 2011
Accepted: 11 May 2012

Published online: 11 Apr 2013 *

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