Comparative application of the Crank-Nicolson and State-Space methods to the solution of nonlinear instantaneous eddy Current and Flux Penetration Problems in Electrical Machines

Document Type

Article

Language

eng

Publication Date

9-1978

Publisher

Institute of Electrical and Electronic Engineers (IEEE)

Source Publication

IEEE Transactions on Magnetics

Source ISSN

0018-9464

Abstract

Two numerical methods are presented and compared for solution of nonlinear instantaneous electromagnetic diffusion problems. Finite differences are used for discretization of space. The Crank-Nicolson and improved State-Space methods are used for time. A magnetic vector potential (m.v.p.) formulation is used, which is effective in simplifying programming implementation to electrical machinery problems with complex contours. The methods are applied to a practical example of eddy currents, flux penetration and losses, and are found to yield results which are in excellent agreement with experimental test data. The results include a vivid display of the distortive effect of magnetic non-linearity on eddy current and flux density wave forms. The comparative suitability of both methods are evaluated in light of their characteristics and results.

Comments

IEEE Transactions on Magnetics, Vol. 14, No. 5 (September 1978): 557-559. DOI.

N.A. Demerdash was affiliated with Virginia Polytechnic Institute & State University at the time of publication.

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