Abstract

Recent years have witnessed considerable research activity in the application of digital-computer methods for the determination of the electromagnetic fields in electrical machinery through the solution of Maxwell's equations, while taking full account of the magnetic saturation. Two distinct numerical approaches are evident in the literature: Finite-Difference Method and Finite-Element method. The author has presented in the recent years a finite-difference formulation for 3-dimensional numerical solutions of the nonlinear electromagnetic field problems in terms of potential functions, and has applied for the analysis of the end-zone fields of aerospace homopolar alternators and solid-rotor induction motors. The present work is directed towards the finite-element formulation for the numerical solution of three-dimensional nonlinear magnetostatic field problems. A variational principle is developed here utilizing the vector potential concept. The approach is based on variational methods in which a corresponding energy functional for the nonlinear case is minimized over the entire region. The minimization is performed by means of the finite-element method and the resultant set of nonlinear algebraic equations is solved through iterative schemes.

Notes

Author's manuscript; originally published in Proc. of the 2nd International Electrical Machines Conference, Vienna, Sept 1976.

Keywords

magnetostatic field computation, digital computer methods, electrical machinery, Maxwell's equations, FEA, FEM, aerospace homopolar alternators, solid rotor induction motors, magnetic saturation

Subject Categories

Electromagnetic fields, Finite element method, Finite differences

Disciplines

Electromagnetics and photonics

Publisher

IEEE

Publication Date

9-1976

Rights Information

(c) 1976 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other users, including reprinting/ republishing this material for advertising or promotional purposes, creating new collective works for resale or redistribution to servers or lists, or reuse of any copyrighted components of this work in other works.

Rights Holder

IEEE

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