Effective computational models for anisotropic soft B-H curves

Abstract

The flux density B for a magnetic field H in a soft magnetic material is given by the derivatives of the stored coenergy density with respect to the components of H. Any single-valued nonlinear tensor permeability may therefore be stored compactly, and retrieved with little computation, by storing its coenergy density as a function of position in H-space. In a dual form, H can be found by differentiating the stored energy density with respect to the components of B. Computational experiments show that sufficient accuracy can be achieved using cubic splines or other C/sup 2/-continuous approximating functions.< <ETX xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">&gt;</ETX>