Application of a Fractional Transfer Function for Simulating the Eddy Currents Effect in Electrical Systems

Volodymyr Moroz () and Oleksandr Makarchuk
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Volodymyr Moroz: Institute of Power Engineering and Control Systems, Lviv Polytechnic National University, 79013 Lviv, Ukraine
Oleksandr Makarchuk: Institute of Power Engineering and Control Systems, Lviv Polytechnic National University, 79013 Lviv, Ukraine

Energies, 2022, vol. 15, issue 19, 1-11

Abstract: Some electrical devices contain a solid nonlaminated magnetic core as a component. In the case of variable magnetic flux, eddy currents arise in such a core, which should be taken into account for computer simulation if higher precision is needed. The fractional order transfer function (FOTF) based on the simple traditional model of excitation circuit of a DC machine is proposed for eddy current simulation. This model is illustrated by mathematical (based on differential equations and the Laplace operator) and structural approaches to the excitation circuit of a common DC generator with a solid core. The skin effect for more precise simulation of eddy currents is also considered by means of fractional order transfer functions in the computer models. Magnetic saturation and hysteresis were not taken into account in this case. The proposed model is simple and ensures adequate accuracy, confirmed experimentally using the FOTF Toolbox for MATLAB and Simulink. This model is distinct and proposed for the fast and accurate computer simulation of eddy currents in electrical devices with a solid magnetic core.

Keywords: computer simulation; eddy currents; FOTF Toolbox; fractional order transfer function; structural model (search for similar items in EconPapers)
JEL-codes: Q Q0 Q4 Q40 Q41 Q42 Q43 Q47 Q48 Q49 (search for similar items in EconPapers)
Date: 2022
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