2-D Volume Integral Formulations for Nonlinear Magneto-Static Field Computation for Rotating Machines Pre-Design Considering Periodicities

Abstract

This paper provides an alternative approach to the finite elements method of solving magneto-static field for an efficient pre-design of electrical rotating machines [2][3]. First, the 2D volume integral formulation will be presented. Second, this formulation will be extended to periodic systems. Comparisons to the finite elements methods will be carried out to conclude on the performances of the new method presented.

A semi-analytical method to compute the magnetic flux linkage of a 2D meshed coil in presence of magnetic materials − application to electrical motor pre-design

“…This makes this formula highly compatible with the VIM. Nevertheless, the vector potential and the magnetic field created by the coils are required in the formula (9). The second part of this paper introduces an analytical method to obtain those values.…”

“…Thanks to those formulas, it is possible to compute the magnetic field and vector potential created by any unspecified triangle and thus by any 2D triangularly meshed coil. Consequently, those formulas allow us to compute the flux with the semi-analytical equation (9).…”

“…For a few years, the VIM has been widely studied [6][7][8] and is know today as a good alternative to the FEM for solving magnetostatic problems in the presence of non-linear materials thanks to the robust acceleration method for its resolution. The magnetic field in the magnetic materials will thus be computed thanks to a 2D VIM presented in [9]. Consequently, the information regarding the magnetic field outside of the active materials is unavailable without an expensive post computation.…”