Improved Estimation Procedure of Cage-Induction-Motor-Equivalent Circuit Parameters Based on Two-Stage PSO Algorithm

This paper analyzes errors in the estimation of induction-motor-equivalent circuit parameters using an improved combined two-stage Particle Swarm Optimization (PSO) method. The proposed method accounts for variations in rotor parameters based on both linear and square root speed approximations, as w...

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Main Authors: Jovan Vukašinović, Saša Štatkić, Nebojša Arsić, Nebojša Mitrović, Bojan Perović, Andrijana Jovanović
Format: Article
Language:English
Published: MDPI AG 2025-04-01
Series:Energies
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Online Access:https://www.mdpi.com/1996-1073/18/8/1952
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author Jovan Vukašinović
Saša Štatkić
Nebojša Arsić
Nebojša Mitrović
Bojan Perović
Andrijana Jovanović
author_facet Jovan Vukašinović
Saša Štatkić
Nebojša Arsić
Nebojša Mitrović
Bojan Perović
Andrijana Jovanović
author_sort Jovan Vukašinović
collection DOAJ
description This paper analyzes errors in the estimation of induction-motor-equivalent circuit parameters using an improved combined two-stage Particle Swarm Optimization (PSO) method. The proposed method accounts for variations in rotor parameters based on both linear and square root speed approximations, as well as two different approaches for the stator and rotor leakage reactance ratios. The first approach assumes that the starting rotor leakage reactance is equal to the stator leakage reactance, while the second considers them as distinct. Improvement of the algorithm consists of increasing the accuracy of the approximations of parameter changes on the rotor. Thanks to more accurate determination of the initial rotor parameters, both approximations provide better results in parameter estimation. The analysis involved sixteen induction motors with four different power ratings and four different pole numbers. The analysis aimed to assess the impact of these approximations and assumptions on equivalent circuit parameter estimation errors. The estimated torque-speed characteristics closely matched the manufacturer’s reference data, including starting, maximum, and full-load torques. The deviation of the estimated torque-speed characteristics from the reference characteristics, within a defined speed range, is defined as the mean absolute percentage error. Based on the obtained results, the mean absolute percentage error is complex and depends on rotor parameter speed approximations, stator and rotor leakage reactance ratios, and the full power of the induction motor.
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spelling doaj-art-9ed83eda8a2a43b2abfbb62efcde56ae2025-08-20T02:28:14ZengMDPI AGEnergies1996-10732025-04-01188195210.3390/en18081952Improved Estimation Procedure of Cage-Induction-Motor-Equivalent Circuit Parameters Based on Two-Stage PSO AlgorithmJovan Vukašinović0Saša Štatkić1Nebojša Arsić2Nebojša Mitrović3Bojan Perović4Andrijana Jovanović5Faculty of Technical Sciences, University of Priština in Kosovska Mitrovica, RS-38220 Kosovska Mitrovica, SerbiaFaculty of Technical Sciences, University of Priština in Kosovska Mitrovica, RS-38220 Kosovska Mitrovica, SerbiaFaculty of Technical Sciences, University of Priština in Kosovska Mitrovica, RS-38220 Kosovska Mitrovica, SerbiaFaculty of Electronic Engineering, University of Niš, RS-18000 Niš, SerbiaFaculty of Technical Sciences, University of Priština in Kosovska Mitrovica, RS-38220 Kosovska Mitrovica, SerbiaFaculty of Technical Sciences, University of Priština in Kosovska Mitrovica, RS-38220 Kosovska Mitrovica, SerbiaThis paper analyzes errors in the estimation of induction-motor-equivalent circuit parameters using an improved combined two-stage Particle Swarm Optimization (PSO) method. The proposed method accounts for variations in rotor parameters based on both linear and square root speed approximations, as well as two different approaches for the stator and rotor leakage reactance ratios. The first approach assumes that the starting rotor leakage reactance is equal to the stator leakage reactance, while the second considers them as distinct. Improvement of the algorithm consists of increasing the accuracy of the approximations of parameter changes on the rotor. Thanks to more accurate determination of the initial rotor parameters, both approximations provide better results in parameter estimation. The analysis involved sixteen induction motors with four different power ratings and four different pole numbers. The analysis aimed to assess the impact of these approximations and assumptions on equivalent circuit parameter estimation errors. The estimated torque-speed characteristics closely matched the manufacturer’s reference data, including starting, maximum, and full-load torques. The deviation of the estimated torque-speed characteristics from the reference characteristics, within a defined speed range, is defined as the mean absolute percentage error. Based on the obtained results, the mean absolute percentage error is complex and depends on rotor parameter speed approximations, stator and rotor leakage reactance ratios, and the full power of the induction motor.https://www.mdpi.com/1996-1073/18/8/1952induction motorsparameters estimationstarting rotor leakage reactancestator leakage reactancetorque-speed characteristic
spellingShingle Jovan Vukašinović
Saša Štatkić
Nebojša Arsić
Nebojša Mitrović
Bojan Perović
Andrijana Jovanović
Improved Estimation Procedure of Cage-Induction-Motor-Equivalent Circuit Parameters Based on Two-Stage PSO Algorithm
Energies
induction motors
parameters estimation
starting rotor leakage reactance
stator leakage reactance
torque-speed characteristic
title Improved Estimation Procedure of Cage-Induction-Motor-Equivalent Circuit Parameters Based on Two-Stage PSO Algorithm
title_full Improved Estimation Procedure of Cage-Induction-Motor-Equivalent Circuit Parameters Based on Two-Stage PSO Algorithm
title_fullStr Improved Estimation Procedure of Cage-Induction-Motor-Equivalent Circuit Parameters Based on Two-Stage PSO Algorithm
title_full_unstemmed Improved Estimation Procedure of Cage-Induction-Motor-Equivalent Circuit Parameters Based on Two-Stage PSO Algorithm
title_short Improved Estimation Procedure of Cage-Induction-Motor-Equivalent Circuit Parameters Based on Two-Stage PSO Algorithm
title_sort improved estimation procedure of cage induction motor equivalent circuit parameters based on two stage pso algorithm
topic induction motors
parameters estimation
starting rotor leakage reactance
stator leakage reactance
torque-speed characteristic
url https://www.mdpi.com/1996-1073/18/8/1952
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