Numerical methods for variable permeability magnetostatic field problems Public Deposited

http://ir.library.oregonstate.edu/concern/graduate_thesis_or_dissertations/3b591c99n

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  • Solutions to the variable permeability magnetostatic field problem are achieved in both rectangular and cylindrical coordinates for a wide variety of magnet geometries. The resulting difference equations are solved iteratively and a method is provided which substantially increases the rate of convergence for these type of problems. Magnetization curves for several commonly used ferromagnetic alloys are spline-fit with low order polynomials up to seven orders of magnitude. The properties of these curves which affect the convergence of particular problems are investigated. In order to determine the accuracy of the computed results, comparisons are made with known analytic solutions in the linear case, and with measured field values in the non-linear case. The agreement is shown to be good except near the singularities at corners and interfaces. In the cylindrical case, a means is suggested for overcoming these difficulties and improving the accuracy of the solution near such interfaces. Three computer programs which developed from this study are described. These programs are currently available for general use and instructions for their use are given.
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