Accounting for saturation in conformal mapping modeling of a permanent magnet synchronous machine

Abstract

Purpose

In the electromagnetic field simulation of modern servo drives, the computation of higher time and space harmonics is essential to consider appearing torque pulsations, radial forces and ripple torques. The purpose of this paper is to propose a method to cover the effect of saturation on the armature flux density within conformal mapping (CM) by an finite element (FE) re‐parameterization.

Design/methodology/approach

Field computation by CM techniques is a time‐effective method to compute the radial and tangential field components, but it generally neglects the effect of saturation.

Findings

This paper presents a method to re‐parameterize the CM approach by single FE computations so as to consider saturation in the model over a wide operation range of the electrical drive.

Practical implications

The proposed method is applied to a surface permanent magnet synchronous machine, and compared to numerical results obtained by finite element analysis (FEA).

Originality/value

The paper shows that an accuracy similar to that of FE simulations can be obtained with still the low‐computation time that is the characteristic of analytical models.

Citation

Hafner, M., Franck, D. and Hameyer, K. (2011), "Accounting for saturation in conformal mapping modeling of a permanent magnet synchronous machine", COMPEL - The international journal for computation and mathematics in electrical and electronic engineering, Vol. 30 No. 3, pp. 916-928. https://doi.org/10.1108/03321641111110889