LAPSE:2023.10144
Published Article

LAPSE:2023.10144
Solid-Rotor Induction Motor Modeling Based on Circuit Model Utilizing Fractional-Order Derivatives
February 27, 2023
Abstract
This paper presents the Park model of a solid-rotor induction motor. In this model, the dynamic state of the motor is described by integer and noninteger order differential equations. The skin effect in the solid rotor was represented by resistance and inductance with lumped constants, and the fractional inductance was dependent on the frequency of the eddy current induced in the rotor. The parameters of the equivalent circuit were determined by the standstill frequency response test with the stationary machine on the basis of the finite element method analysis of the electromagnetic field. A simulation of the dynamic states of the induction motor with a solid rotor was carried out based on the calculated parameters. The simulation was carried out using a program written in the Matlab environment. The simulations show that the electromagnetic moment during the motor start-up is about 2 times greater than the initial torque in the steady state. On the other hand, the maximum value of the stator current during the start-up is about 1.5 times greater than the effective value of the inrush current in the steady state. A good agreement was obtained between the results calculated from the distribution of the magnetic field by the finite element method and the results obtained on the basis of the equivalent circuit and, in the case of the electromagnetic torque, with the results obtained from the transient state during motor reversal.
This paper presents the Park model of a solid-rotor induction motor. In this model, the dynamic state of the motor is described by integer and noninteger order differential equations. The skin effect in the solid rotor was represented by resistance and inductance with lumped constants, and the fractional inductance was dependent on the frequency of the eddy current induced in the rotor. The parameters of the equivalent circuit were determined by the standstill frequency response test with the stationary machine on the basis of the finite element method analysis of the electromagnetic field. A simulation of the dynamic states of the induction motor with a solid rotor was carried out based on the calculated parameters. The simulation was carried out using a program written in the Matlab environment. The simulations show that the electromagnetic moment during the motor start-up is about 2 times greater than the initial torque in the steady state. On the other hand, the maximum value of the stator current during the start-up is about 1.5 times greater than the effective value of the inrush current in the steady state. A good agreement was obtained between the results calculated from the distribution of the magnetic field by the finite element method and the results obtained on the basis of the equivalent circuit and, in the case of the electromagnetic torque, with the results obtained from the transient state during motor reversal.
Record ID
Keywords
finite element method, fractional-order derivatives, fractional-order impedance, induction motor, parameter identification, solid rotor
Subject
Suggested Citation
Staszak J. Solid-Rotor Induction Motor Modeling Based on Circuit Model Utilizing Fractional-Order Derivatives. (2023). LAPSE:2023.10144
Author Affiliations
Staszak J: Department of Electrical Power Engineering, Power Electronics and Electrical Machines, Kielce University of Technology, 25-314 Kielce, Poland
Journal Name
Energies
Volume
15
Issue
17
First Page
6371
Year
2022
Publication Date
2022-08-31
ISSN
1996-1073
Version Comments
Original Submission
Other Meta
PII: en15176371, Publication Type: Journal Article
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LAPSE:2023.10144
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https://doi.org/10.3390/en15176371
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Feb 27, 2023
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