Inductance analytical calculations of brushless surface-mounted permanent-magnet machines based on energy method

Abstract

Purpose This paper aims to show the proposed energy method for inductance calculation is valid for any number of poles, phases and any winding layout. Design/methodology/approach A two-dimensional (2-D) analytical energy-based approach is presented to calculate self-inductances and mutual inductances of brushless surface-mounted permanent-magnet machines. Findings The proposed calculation procedure is valid for brushless permanent-magnet machines with slotted or slotless stator structure. Comparisons between energy method and flux linkage method are presented based on simulation and experimental results. It shows that the energy method has an excellent agreement with the result obtained from finite element method (FEM) and experimental study. Originality/value This paper compares energy-based method with flux linkage method and FEM for inductance calculations in slotless and slotted permanent-magnet motors. The relations for inductance calculation are presented which are obtained based on 2-D analytical representation of magnetic field.

Winding Tensor Approach for the Analytical Computation of the Inductance Matrix in Eccentric Induction Machines

“…The resistance (38) and leakage inductance (39) matrices of the healthy machine are assembled using (28), (29), (36) and (37), using the values of the resistance and the leakage inductance of a stator phase, a rotor bar and end ring segment given in Appendix A.…”

“…The resistance (38) and leakage inductance (39) matrices of the healthy machine are not affected by the eccentricity fault.…”

“…An alternative is to use analytical methods for inductance computation. In [38] a review of the existing methods for the analytical computation of self and mutual inductances in a rotating electrical machine are described, and a new approach based on energy method is presented. A drawback of the analytical methods is that they do not take into account the saturation, the iron path, or the end leakage inductances.…”