Modeling of Eddy current losses in the iron core of electrical machines by a finite element homogenization method

A finite element homogenization method is proposed for the magetodynamic h-conform finite element formulation to compute eddy current losses in electrical steel laminations. The lamination stack is served as a source region carrying predefined current density and magnetic flux density distributions presenting the eddy current losses and skin effects in each lamination. | 24 Dang Quoc Vuong, Nguyen Duc Quang MODELING OF EDDY CURRENT LOSSES IN THE IRON CORE OF ELECTRICAL MACHINES BY A FINITE ELEMENT HOMOGENIZATION METHOD Dang Quoc Vuong1, Nguyen Duc Quang2 1 Hanoi University of Science and Technology; 2 Electric Power University; quangndhtd@ Abstract - A finite element homogenization method is proposed for the magetodynamic h-conform finite element formulation to compute eddy current losses in electrical steel laminations. The lamination stack is served as a source region carrying predefined current density and magnetic flux density distributions presenting the eddy current losses and skin effects in each lamination. In order to solve this problem, the stacked laminations are converted into continuums with which terms are associated for considering the eddy current loops produced by both parallel and perpendicular fluxes. An accurate model of accuracy is developed via an accurate analytical expression of the eddy currents and makes the method adapted to both low and high frequency effects to capture skin depths of fields along thicknesses of the laminations. Key words - Eddy current; finite element method; homogenization method; steel laminations; iron cores. 1. Introduction Iron cores in electrical devices are usually laminated in order to reduce the eddy current losses due to time-varying flux excitations. In order to compute the eddy currents in each lamination, a finite element method (FEM) with a magnetic vector potential formulation has already been applied by many authors in [1]. However, the direct application of the FEM to realistic devices (that consist of multiple steel laminations) is still challenging, and especially requires plenty of time to calculate and simulate eddy currents in each separate lamination (Figure 1), where the currents are first completely ignored, and the Joule losses may be estimated from the results of an eddy current free model. In addition, many years ago, .

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