A New Method for Iron Loss Separation

Abstract

In this work we propose a new method to separate iron losses by removing low frequency tests and reducing the number of experiments. The article deals with methodologies that use numerical methods to find the mathematical model coefficients of magnetic loss separation in hysteresis loss (W_h), eddy current loss (W_ed) and excess loss (W_ex). Three methodologies are presented and depend on experimental tests such as (i) varying magnetic induction B_m and constant supply frequency (f) of 50 Hz, (ii) constant magnetic induction around 1 T and varying frequency. The first methodology is based on Newton’s method to solve the numerical system generated with experimental data from two laboratory experiments. These data were reported in past references. Another two methodologies are based on genetic algorithms (GA). One of them depends on experimental data from both experiments and the another depends on experimental data only from experiment (i). Results indicate that genetic algorithms method presents excellent solutions in comparison with other ones. The GA method with two tests allows a better representation of the experimental behavior of the sample with maximum errors varying from 1.10% to 0.20%. In GA method with one test, minimization varied from 6.924 × 10⁻⁰⁵ to 3.186 × 10⁻⁰⁵.

Index Terms
Genetic algorithms; iron losses; Newton’s method