A fast integral equation based scheme for computing magneto-static fields in nonlinear media

Date
2001-01-01
Authors
Balasubramanian, Sridharan
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Altmetrics
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Electrical and Computer Engineering
Abstract

Large-scale magneto-static field analysis in both the linear and non-linear regime axe typically performed using differential equation (DE) based schemes; integral equation (IE) based schemes are less popular. This is in large part due to the computational complexity and memory requirements associated with IE-based schemes, both of which scale as O(N2) where N is the total number of unknowns used for the analysis. Reducing this complexity has been a focus of considerable research. In this thesis, we introduce a novel IE that is cast in terms of the magnetic flux density. This enables us to construct a solution using the method of moments (MoM) by choosing vector basis functions that satisfy the requisite boundary condition. This solver is then augmented with a recently introduced version of the fast multipole method. The magnetic field distributions computed using this scheme are validated against those obtained analytically. Finally, the efficacy of this scheme is demonstrated by applying it to the analysis of practical problems where the permeability is non-linear.

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