Basis of an Algoritm for Accurate Calculation of Transient Ferromagnetic Hysteresis

Abstract

It is sometimes very important, for an accurate simulation of complex transient processes which arise in electrical power systems, to model in a faithful way the ferromagnetic behaviour of equipment such as transformers or saturable compensating reactors. Although computer programs for digital simulation of transients, such as EMTP, often include options for good modelling of saturation (the classic Type 98 and Type 93 of EMTP) the hysteresis effects have a rather "rough" representation based on the limit hysteresis loop (Type 96 of EMTP). A theorical model which is rich in insight about the transient behaviour of ferromagnetism is the one described in [2]. But the algorithm based on this model appears to be cumbersome to couple to a great transients programme such as EMTP. In this paper, we develop another approach which, although along a thinking line similar to that of Biorci and Pescetti, gives a mathematical model simpler to translate into a useful algorithm and yet shows an overall behaviour which represents very well that of ferromagnetism during complex transients.

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