Substantiation of a Rational Model of an Induction Motor in a Predictive Energy-Efficient Control System

Grygorii Diachenko, Ivan Laktionov, Dariusz Sala, Michał Pyzalski (), Oleksandr Balakhontsev and Yuliya Pazynich
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Grygorii Diachenko: Department of Electric Drive, Dnipro University of Technology, 19 Yavornytskoho Ave., 49005 Dnipro, Ukraine
Ivan Laktionov: Department of Computer Systems Software, Dnipro University of Technology, 19 Yavornytskoho Ave., 49005 Dnipro, Ukraine
Dariusz Sala: Faculty of Management, AGH University of Krakow, 30 Mickiewicza Ave., 30-059 Krakow, Poland
Michał Pyzalski: Faculty of Management, AGH University of Krakow, 30 Mickiewicza Ave., 30-059 Krakow, Poland
Oleksandr Balakhontsev: Department of Electric Drive, Dnipro University of Technology, 19 Yavornytskoho Ave., 49005 Dnipro, Ukraine
Yuliya Pazynich: Faculty of Management, AGH University of Krakow, 30 Mickiewicza Ave., 30-059 Krakow, Poland

Energies, 2025, vol. 18, issue 17, 1-17

Abstract: The development and implementation of scientifically substantiated solutions for the improvement and modernization of electromechanical devices, systems, and complexes, including electric drives, is an urgent theoretical and applied task for energetics, industry, transport, and other key areas, both in global and national contexts. The aim of this paper is to identify a rational model of an induction motor that balances computational simplicity and control system performance based on predictive approaches while ensuring maximum energy efficiency and reference tracking during the operation in dynamic modes. Five main mathematical models of an induction machine with different levels of detail have been selected. Three predictive control models have been implemented using GRAMPC (v 2.2), Matlab MPC Toolbox (v 24.1), and fmincon (R2024a) (from Matlab Optimization Toolbox). It has been established that in the dynamic mode of operation, the equivalent induction motor circuit with parameters R f e = c o n s t , L μ = f I 1 d , and T F = f ( ω R m ) is the most appropriate in terms of the following criteria: accuracy of control action generation, computation speed, and calculation of energy consumption.

Keywords: induction motor; rational modeling; model predictive control (MPC); load forecasting; industrial automation; smart control system (search for similar items in EconPapers)
JEL-codes: Q Q0 Q4 Q40 Q41 Q42 Q43 Q47 Q48 Q49 (search for similar items in EconPapers)
Date: 2025
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