LAPSE:2023.21946
Published Article

LAPSE:2023.21946
Direct Consideration of Eddy Current Losses in Laminated Magnetic Cores in Finite Element Method (FEM) Calculations Using the Laplace Transform
March 23, 2023
Abstract
The following article presents a computation procedure that enables us to simulate the dynamic states of electric machines with a laminated magnetic core, with direct consideration of the eddy current losses. The presented approach enables a significant reduction of the simulation process computational complexity. The verification of the obtained data correctness is based on a detailed balance of energy and power in the investigated system. The correctness of the obtained results was also confirmed by comparing them with the results included in norms that describe the losses in laminated sheets. The presented approach is based on expressing the equivalent permeability of transformer metal sheets by using RC or RL circuits. The impedances of these circuits are treated as the transmittance of Infinite Impulse Response filters (IIR) of the Laplace s variable. In this form they are implemented in direct calculations of the dynamics of electric machines based on field-circuital models, using the Finite Element Method (FEM). In this way, we present the method of including eddy current losses in laminated metal circuits of chokes or transformers, during calculations using the finite element method, with the IIR filter in the domain of the variable s of the Laplace transform. Eddy current losses are directly included in the calculation process. Therefore, they have a direct impact on the transient state waveforms. However, the use of the Laplace variable s caused an excessive increase in the number of state variables, and the overall computational efficiency of the presented method is sufficiently low so as to be used in the simulation process of electrical machine dynamic states with a relatively large number of elements in the FE Model.
The following article presents a computation procedure that enables us to simulate the dynamic states of electric machines with a laminated magnetic core, with direct consideration of the eddy current losses. The presented approach enables a significant reduction of the simulation process computational complexity. The verification of the obtained data correctness is based on a detailed balance of energy and power in the investigated system. The correctness of the obtained results was also confirmed by comparing them with the results included in norms that describe the losses in laminated sheets. The presented approach is based on expressing the equivalent permeability of transformer metal sheets by using RC or RL circuits. The impedances of these circuits are treated as the transmittance of Infinite Impulse Response filters (IIR) of the Laplace s variable. In this form they are implemented in direct calculations of the dynamics of electric machines based on field-circuital models, using the Finite Element Method (FEM). In this way, we present the method of including eddy current losses in laminated metal circuits of chokes or transformers, during calculations using the finite element method, with the IIR filter in the domain of the variable s of the Laplace transform. Eddy current losses are directly included in the calculation process. Therefore, they have a direct impact on the transient state waveforms. However, the use of the Laplace variable s caused an excessive increase in the number of state variables, and the overall computational efficiency of the presented method is sufficiently low so as to be used in the simulation process of electrical machine dynamic states with a relatively large number of elements in the FE Model.
Record ID
Keywords
choke, Eddy current losses, FEM method, laminated transformer sheet, Laplace’s transformation
Subject
Suggested Citation
Gołębiowski M, Gołębiowski L, Smoleń A, Mazur D. Direct Consideration of Eddy Current Losses in Laminated Magnetic Cores in Finite Element Method (FEM) Calculations Using the Laplace Transform. (2023). LAPSE:2023.21946
Author Affiliations
Gołębiowski M: Department of Electrical and Computer Engineering, Rzeszow University of Technology, 35-959 Rzeszów, Poland [ORCID]
Gołębiowski L: Department of Electrical and Computer Engineering, Rzeszow University of Technology, 35-959 Rzeszów, Poland [ORCID]
Smoleń A: Department of Electrical and Computer Engineering, Rzeszow University of Technology, 35-959 Rzeszów, Poland [ORCID]
Mazur D: Department of Electrical and Computer Engineering, Rzeszow University of Technology, 35-959 Rzeszów, Poland [ORCID]
Gołębiowski L: Department of Electrical and Computer Engineering, Rzeszow University of Technology, 35-959 Rzeszów, Poland [ORCID]
Smoleń A: Department of Electrical and Computer Engineering, Rzeszow University of Technology, 35-959 Rzeszów, Poland [ORCID]
Mazur D: Department of Electrical and Computer Engineering, Rzeszow University of Technology, 35-959 Rzeszów, Poland [ORCID]
Journal Name
Energies
Volume
13
Issue
5
Article Number
E1174
Year
2020
Publication Date
2020-03-04
ISSN
1996-1073
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Original Submission
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PII: en13051174, Publication Type: Journal Article
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LAPSE:2023.21946
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https://doi.org/10.3390/en13051174
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Mar 23, 2023
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