Analytical calculation of the end winding leakage inductance based on the solution of Neumann integrals

Abstract

This paper presents an analytical technique that can be used for calculating the contribution to the end-winding leakage inductance of a switched reluctance machine due to the current in the end winding itself. It is based on a 3D geometric model of the end winding region. Each coil herein is modelled as a set of serially connected straight filaments. The mutual inductance of the end coils is calculated by the solution of the Neumann integral. By using the method of images the influence of the core iron on the end winding leakage inductance is considered, too. The contribution due to axial leakage of the air-gap field is not focused on in this paper.

Accuracy improvement for complex harmonic analysis modelling of a wound field synchronous generator

“…A full 3D solver is required for FEA calculations of end‐winding inductance, which is time‐consuming to set up, as the accuracy for winding geometry is limited. In this section, the image method [10, 13–16] is used to calculate the end‐winding inductance, where the end‐winding shape is assumed to be rectangular and infinitely thin, neglecting its radius. The image method allows for the effect of iron part on the magnetic flux distribution [11].…”

Winding inductance and performance prediction of a switched reluctance motor with an exterior-rotor considering the magnetic saturation

“…The inductance of the end region is heavily influenced by the rotor position and excitation [14]. The end winding inductance at the totally unaligned position slightly increases with an increased excitation.…”

“…References [11]- [13] calculated the inductance profile to predict the performance of SRM without considering the end winding effects. A model for the end inductance calculation of an inner-rotor SRM was presented in [14]- [15], whose calculation error was large, as the core saturation was ignored when a rotor pole was aligned to a stator tooth.…”

Study on the End Winding Inductance of Three-Phase Windings in Two Layers

“…In order to calculate analytically the end winding inductance, improved approaches, with consideration of the 3D shape of the coils were presented in [2] and [3]. They used the solution of Neumann integral for inductance calculation and considered the influence of the ferromagnetic material.…”