1. JCPEE
  2. All Volumes and Issues
  3. Volume 13, Number 1, 2023
  4. A mathematical model of a frequency-controlled induction electric drive on the basis of the method of average voltages in integration step

A mathematical model of a frequency-controlled induction electric drive on the basis of the method of average voltages in integration step

JCPEE.
2023;
Volume 13, Number 1
: pp. 23-30
https://doi.org/10.23939/jcpee2023.01.023
Authors:
  1. Mykola Semeniuk
  2. Andriy Kutsyk
  3. Vasyl Tutka
1
Lviv Polytechnic National University
2
Lviv Polytechnic National University
3
PJSC Ivano-Frankivskcement

Frequency-controlled electric drives are used in various industrial sectors due to the simplicity and reliability of the electric machine design, as well as the ability to provide the required control characteristics. This paper presents a mathematical model of a frequency-controlled electric drive with voltage source inverter developed by the Average Voltage in the Integration Step (AVIS) method and confirms its adequacy. A comparative analysis for the speed responce  and accuracy of the model calculation by the AVIS method, compared to known methods in Matlab/Simulink and to the known results of physical experiments, demonstrated the efficiency of using the AVIS method for modeling frequency-controlled induction electric drives in phase coordinates with taking into account the actual curves of currents, flux, and torque of electronically commutated induction machines.

variable frequency drive
induction motor
six-step inverter
AVIS method
  1. M. A. Abbas, R. Christen and T. M. Jahns, “Six-Phase Voltage Source Inverter Driven Induction Motor”, IEEE Transactions on Industry Applications, vol. IA-20, no. 5, pp. 1251-1259, 1984.
    https://doi.org/10.1109/TIA.1984.4504591
  2. G. Sieklucki, “An Investigation into the Induction Motor of Tesla Model S Vehicle”, 2018 International Symposium on Electrical Machines (SME), 2018, pp. 1-6/
    https://doi.org/10.1109/ISEM.2018.8442648
  3. D. W. Novotny, I. A. Lipo, Vector control and dynamics of AC drives, New York, Oxford University, 1996.
    https://doi.org/10.1093/oso/9780198564393.001.0001
  4. A. Kutsyk, A. Lozynskyy, V. Vantsevitch, O. Plakhtyna, L. Demkiv, “A Real-Time Model of Locomotion Module DTC Drive for Hardware-In-The-Loop Implementation”,  Przegląd Elektro-techniczny, vol. 97, pp. 60–65,2021 .
  5. М.М. Kazachkovsky, Autonomous converters and frequency converters, Dnipro, Ukraine, 2000.  (Ukrainian) .
  6. O. Plakhtyna, A. Kutsyk, and A. Lozynskyy, “Method of average voltages in integration step: Theory and application”, Electrical Engineering, vol. 102(4),  pp. 2413-2422. 2020.
    https://doi.org/10.1007/s00202-020-01039-x
  7. O. Plakhtyna, A. Kutsyk, M. Semeniuk, “Real-Time Models of Electromechanical Power Systems, Based on the Method of Average Voltages in Integration Step and Their Computer Application”,. Energies, vol.13, p. 2263, 2020.
     https://doi.org/10.3390/en13092263
  8. O. Kuznyetsov, "Mathematical model of a three-phase induction machine in a natural abc reference frame utilizing the method of numerical integration of average voltages at the integration step and its application to the analysis of electromechanical systems", Mathematical Problems in Engineering, vol. 2019, pp. 1–13, 2019,
    https://doi.org/10.1155/2019/4581769.
  9. S. Cieślik, “Mathematical Modeling of the Dynamics of Linear Electrical Systems with Parallel Calculations”, Energies, vol. 14, p. 2930, 2021.
    https://doi.org/10.3390/en14102930.
  10. Z. Kłosowski, M. Fajfer, and Z. Ludwikowski, "Reduction of the Electromagnetic Torque Oscillation during the Direct on Line (DOL) Starting of a 6 kV Motor by Means of a Controlled Vacuum Circuit-Breaker", Energies, vol. 15, p. 4246,  2022. https://doi.org/10.3390/en15124246.