A nonlinear equivalent circuit model for flux density calculation of a permanent magnet linear synchronous motor

Abstract

In this paper, a nonlinear magnetic equivalent circuit is presented as an analytical solution method for modeling of a permanent magnet linear synchronous motor (PMLSM). The accuracy of the proposed model is verified via comparing its simulation results with those obtained by two other methods. These two are the Maxwell’s Equations based analytical method and the wellknown finite elements method (FEM). Saturation and any saliency e.g. slotting effects can be considered properly by both nonlinear magnetic equivalent circuit and FEM, where it cannot be taken into account easily by the Maxwell’s Equations based analytical approach. Accordingly, as the simulation results presented in this paper confirm, the proposed nonlinear magnetic equivalent circuit is compatible with FEM regarding the accuracy while it requires very shorter execution time. Therefore, the magnetic equivalent circuit model of the present paper can be considered as a preferable substitute for the time consuming FEM and approximated analytical method built on Maxwell’s Equations in particular when required to be applied for a design optimization problem.

Keywords

• finite elements method
• flux density
• Maxwell’s equations
• nonlinear magnetic equivalent circuit
• permanent magnet linear synchronous motor