Representation of permanent magnet brushless machine by means of orthogonal functions

Abstract

Purpose

To develop a fast and accurate method of calculation of permanent magnet machines.

Design/methodology/approach

Presently two ways exist of modeling of synchronous machines – the classic one, when the concept of inductances L_d and L_q is used and the numerical, time‐stepping approach. The first cannot account for precisely the saturation effects, while the second one is highly time consuming. Proposed algorithm replaces inductances by the distributions of flux densities, which were used for their definition, obtained from finite element solutions. Mathematically, the analysis is converted from the space of trigonometric functions to the more general space of periodic functions.

Findings

The compact algorithm of analysis has been found, making it possible to extend its application to other types of machines.

Research limitations/implications

Validation of the proposed method was done only by cross‐checking with integral parameters coming from finite element solution.

Practical implications

A potentially useful idea of representation of an electric machine for control purposes.

Originality/value

The paper presents original concept of the new approach for the representation of electric machines. Parts of that methodology were discussed among specialists during two international conferences and received positive views.

Citation

Witczak, P., Wawrzyniak, B. and Napieralska‐Juszczak, E. (2006), "Representation of permanent magnet brushless machine by means of orthogonal functions", COMPEL - The international journal for computation and mathematics in electrical and electronic engineering, Vol. 25 No. 2, pp. 523-535. https://doi.org/10.1108/03321640610649177