Modified L2P proximity hysteresis model

Abstract

For electrical studies, it is essential to analyze the behavior of electrical machines in power systems. In order to have a correct analysis, it is necessary to make some simplifications, that lead to obtain linear models, gaining a simple and computationally fast analysis. However, the result is an approximation to the response of the real system. The hysteresis cycle is the most interesting phenomenon in the analysis of electrical machines, mainly responsible for the non-linearity in the ferromagnetic core of machines.

This paper focuses on the proposal of a model that describes the hysteresis cycle in a simple way with the aim of including it in models of electrical machines, taking it into account, an algebraic model known as L²P is considered. This model only requires four parameters, two of them are obtained by the experimental curve and the other two parameters are obtained by optimization methods. The original model is not enough for representation of hysteresis cycles that have been reported in the literature about electrical machines. Therefore, two important contributions are made: A simple method to acquire the parameters directly by inspection of the experimental hysteresis cycle and the introduction of a modification to the original model for the representation of real hysteresis cycles.

The L²P model with its respective modifications can be included in any engineering problem that requires the consideration of the hysteresis phenomenon.