A Model for Solving the Maxwell Quasi Stationary Equations in a 3-Phase Electric Reduction Furnace

Autor: S. Ekrann, Terje Sira
Jazyk: angličtina
Rok vydání: 1982
Předmět:
Zdroj: Modeling, Identification and Control, Vol 3, Iss 4, Pp 231-242 (1982)
Druh dokumentu: article
ISSN: 0332-7353
1890-1328
DOI: 10.4173/mic.1982.4.4
Popis: A computer code has been developed for the approximate computation of electric and magnetic fields within an electric reduction furnace. The paper describes the numerical methods used to solve Maxwell's quasi-stationary equations, which are the governing equations for this problem. The equations are discretized by a staggered grid finite difference technique. The resulting algebraic equations are solved by iterating between computations of electric and magnetic quantities. This 'outer' iteration converges only when the skin depth is larger or of about the same magnitude as the linear dimensions of the computational domain. In solving for electric quantities with magnetic quantities being regarded as known, and vice versa, the central computational task is the solution of a Poisson equation for a scalar potential. These equations are solved by line successive overrelaxation combined with a rebalancing technique.
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