An improvement in the approximation of basic curve μ=μ(h) using spline functions

Abstract

This paper deals with a very efficient method in building the magnetic permeability curve using the cubic spline function C(2). We first approximate the basic curve of magnetization B = B(H) using spline function [1] and [3]. From this function we can find the first derivatives analytically. It is also possible to determine the maximum value of magnetic permeability [2]. Having all necessary information about B = B(H) and μmax we can deduce the derivative curve namely B' = B'(H) and also obtain the first derivative at the beginning and at the end of the curve μ = μ(H).