LAPSE:2023.24632
Published Article
LAPSE:2023.24632
Vectorized Mathematical Model of a Slip-Ring Induction Motor
Miroslaw Wcislik, Karol Suchenia, Andrzej Cyganik
March 28, 2023
The paper deals with the modeling of a slip-ring induction motor. Induction motors are very often used in industry and their suitable model is needed to reduce control and operating costs. The identification process of self and mutual inductances of the stator and rotor, and mutual inductances between them in the function of the rotor rotation angle is presented. The dependence of each inductance on the rotor rotation angle is determined experimentally. The inductance matrix is then formulated. Taking the magnetic energy of the inductances and kinetic energy of the rotor into account, the Lagrange function is defined. Next, the motor motion equations are obtained. After making some algebraic transformations and using the dimensionless variables, the motion equations of electric circuits and of the mechanical equation are written separately in the forms facilitating their solution. The solution was obtained using the Simulink model for the stator and rotor currents in the form of vectors. The simulation was controlled by MATLAB script. The results of the simulation are presented in the form of basic variables time courses and compared with some values calculated with the use Steinmetz model of induction motor. The work is followed by two appendices, which contain procedures for determining the inverted inductance matrix.
Keywords
inductance matrix, Modelling, motion equation, Simulation, slip-ring induction motors
Suggested Citation
Wcislik M, Suchenia K, Cyganik A. Vectorized Mathematical Model of a Slip-Ring Induction Motor. (2023). LAPSE:2023.24632
Author Affiliations
Wcislik M: Faculty of Electrical Engineering, Automatic Control and Computer Science, Kielce University of Technology, 25-314 Kielce, Poland [ORCID]
Suchenia K: Faculty of Electrical and Computer Engineering, Cracow University of Technology, 31-155 Cracow, Poland
Cyganik A: Siemens Sp z o. o, RC-PL DF FA, 30-443 Kraków, Poland
Journal Name
Energies
Volume
13
Issue
15
Article Number
E4015
Year
2020
Publication Date
2020-08-04
Published Version
ISSN
1996-1073
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Original Submission
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PII: en13154015, Publication Type: Journal Article
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LAPSE:2023.24632
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doi:10.3390/en13154015
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Mar 28, 2023
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