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Abstract
PurposeThis work introduces an efficient and accurate technique to solve the eddy current problem in laminated iron cores considering vector hysteresis.Design/methodology/approachThe mixed multiscale finite element method based on the based on the T,Φ-Φ formulation, with the current vector potential T and the magnetic scalar potential Φ allows the laminated core to be modelled as a single homogeneous block. This means that the individual sheets do not have to be resolved, which saves a lot of computing time and reduces the demands on the computer system enormously.FindingsAs a representative numerical example, a single-phase transformer with 4, 20 and 184 sheets is simulated with great success. The eddy current losses of the simulation using the standard finite element method and the simulation using the mixed multiscale finite element method agree very well and the required simulation time is tremendously reduced.Originality/valueThe vector Preisach model is used to account for vector hysteresis and is integrated into the mixed multiscale finite element method for the first time.
Highlights
The mixed multiscale finite element method (MMSFEM) has already been successfully introduced for linear and nonlinear eddy current problems (ECPs), see for example Hollaus (2019) and Hollaus and Schöbinger (2020)
2.2 Vector preisach model The vector Preisach model (VPM) is a superposition of an infinite number of scalar Preisach model (SPM)
The reference solution with standard finite element method (SFEM) has been computed to verify the results obtained by the MMSFEM
Summary
The mixed multiscale finite element method (MMSFEM) has already been successfully introduced for linear and nonlinear eddy current problems (ECPs), see for example Hollaus (2019) and Hollaus and Schöbinger (2020). The aim of this paper is to efficiently simulate eddy currents in laminated iron cores considering vector hysteresis. Preisach model The Preisach model describes a hysteresis phenomenon (Mayergoyz, 1991)
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