Piecewise Fitting Function for Magnetisation Charateristics

Multi-valued characteristics such as hysteresis loops need to be curve-fitted by parts. Mathematical functions may be found to describe successfully symmetrical loops and magnetisation curves in the regions of high level of saturation. Asymmetrical loops of variable degrees of saturation and with additional features of nonlinearity may be obtained in practice. In piecewise curve-fitting no assumption of idealization concerning the form of magnetisation curves is made. An unnecessary constraint on the fitting functions used in the past is revealed when employing a preliminary function with extra degrees of freedom. The evidence of this can be verified experimentally as described below.