CALCULATION OF LOSSES IN ELEMENTS OF CONSTRUCTION OF POWER TRANSFORMERS AND REACTORS BY FINITE ELEMENT METHOD WITH SURFACE IMPEDANCE BOUNDARY CONDITIONS

M. V. Ostrenko, S. М. Tykhovod

Abstract


The purpose of the work. This paper offers the well founded mathematical model based on the applying of the finite element method, which allows more effective modeling of the eddy currents and losses in the tank of power transformers, reactors and elements of their constructions, caused by the dispersion fields.

Research methods. Based on assumptions of equality to the zero of normal components of the magnetic and electric fields’ intensities in ferromagnetic half-space, this mathematical model enters the surface eddy current density in FEM equations.

The obtained results. Conclusion that the offered mathematical model allows to calculate eddy currents and losses in the power transformers tank, reactors and elements of their constructions more effectively is done. Reduction in tens of times of the resulting system of equations is also arrived, that results to considerable decreasing of calculation time and computer resources without accuracy losses.

Scientific novelty. The novelty of the offered mathematical model is the form that is comfortable for programmatic realization of the known surface impedance boundary condition describing the electromagnetic field distribution in a tank and construction elements and in addition these elements are represented as ferromagnetic conducting half-space.

Practical importance. Examples of single-phase autotransformer 167MVA 345kV 161kV calculation in a program complex ELMAG - 3d software, created on the basis of the described method and in the program complex ANSYS software with the use of classic approach of solid modeling of transformer, demonstrate applicability and required accuracy of the described method in the context of problems of losses calculation in the tank and construction elements of power transformers.


Keywords


finite element method; surface current density

References


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DOI: https://doi.org/10.15588/1607-6761-2016-2-4

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