COMPUTER SIMULATION OF ELECTROMAGNETIC FIELD WITH APPLICATION THE FREQUENCY ADAPTATION METHOD

D. S. Yarymbash, S. T. Yarymbash, M. I. Kotsur, D. O. Litvinov

Abstract


Context. A modern stage of powerful radio-electronic and electrotechnical systems development, with a power more than 1 MW, imposes increased requirements to their energy equipment, uninterrupted operation and power supply reliability in various operational modes. Field simulation of such systems class is based on modern numerical realization methods of boundary value problems for Helmholtz and Maxwell equations, both in single-connected and multi-connected domains. It imposes increased requirements to resources, computer hardware speed and software computing efficiency, defining the relevance of a new mathematical apparatus development or its elaboration, including combinations of analytical and approximate numerical methods.
Objective. The purpose of work is the elaboration a new numerical realization methods of field models taking into account AC
electrophysical processes with high frequency on the basis of Helmholtz equations in frequency formulations, adapted to software packages
use with a free license.
Method. A new method of frequency adaptation is elaborated, which provides systems of Helmholtz equations reduction in vector
magnetic potential formulations to the recurrent modified Maxwell’s equations, in analogies of DC formulation, and also provides high
precision and field simulation efficiency.
Results. The generalized spatial mathematical model of interrelated electromagnetic and electrothermal processes AC energy conversion
in current-conducting wires of powerful radio-electronic and electrotechnical systems is offered. This model considers operational modes, nonlinear dependences of electrophysical properties in electrotechnical materials, replacement effects and outer superficial effects, self- and mutual induction. A new method of frequency adaptation is elaborated, based on Helmholtz system of equations reduction in the vector magnetic potential formulations, in frequency domain, to the recurrent modified Maxwell’s equations, in analogies of DC formulation, and also provides high precision and field simulation efficiency. At numerical realization of frequency adaptation methods and finite elements, the number of freedom degrees decreases twice. It is caused by step-by-step solution the recurrent modified Maxwell’s equations, in analogies of DC formulations, for real and imaginary components of electric and vector magnetic potentials.
Conclusions. The elaborated new frequency adaptation method significantly expands possibilities of production design preparation for
powerful radio engineering systems. It allows using the software packages with a free license, reduces requirements to computing resources, reduces time costs and provides high precision in electromagnetic fields simulation.

Keywords


radio-electronic systems; electrotechnical systems; electromagnetic field; finite element method; frequency adaptation; field simulation; DC; AC; Helmholtz and Maxwell’s equations

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DOI: https://doi.org/10.15588/1607-3274-2018-1-8



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