LAPSE:2023.9147
Published Article
LAPSE:2023.9147
Application of a Fractional Transfer Function for Simulating the Eddy Currents Effect in Electrical Systems
February 27, 2023
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
Suggested Citation
Moroz V, Makarchuk O. Application of a Fractional Transfer Function for Simulating the Eddy Currents Effect in Electrical Systems. (2023). LAPSE:2023.9147
Author Affiliations
Moroz V: Institute of Power Engineering and Control Systems, Lviv Polytechnic National University, 79013 Lviv, Ukraine; Faculty of Electrical Engineering, Czestochowa University of Technology, 42-201 Czestochowa, Poland [ORCID]
Makarchuk O: Institute of Power Engineering and Control Systems, Lviv Polytechnic National University, 79013 Lviv, Ukraine; Faculty of Electrical Engineering, Czestochowa University of Technology, 42-201 Czestochowa, Poland [ORCID]
Journal Name
Energies
Volume
15
Issue
19
First Page
7046
Year
2022
Publication Date
2022-09-25
ISSN
1996-1073
Version Comments
Original Submission
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PII: en15197046, Publication Type: Journal Article
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LAPSE:2023.9147
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https://doi.org/10.3390/en15197046
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