A Novel Exact Analytical Solution Based on Kloss Equation towards Accurate Speed-Time Characteristics Modeling of Induction Machines during No-Load Direct Startups
The acceleration time of induction machines (IMs) is essential for proper protection-relay settings of the machine to prevent voltage sags in local power areas. In this paper, mathematical modeling of IMs’ speed-time characteristics during no-load direct startup has been presented. Unlike the approa...
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MDPI AG
2021-05-01
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author | Martin Ćalasan Mohammed Alqarni Marko Rosić Nikola Koljčević Basem Alamri Shady H. E. Abdel Aleem |
author_facet | Martin Ćalasan Mohammed Alqarni Marko Rosić Nikola Koljčević Basem Alamri Shady H. E. Abdel Aleem |
author_sort | Martin Ćalasan |
collection | DOAJ |
description | The acceleration time of induction machines (IMs) is essential for proper protection-relay settings of the machine to prevent voltage sags in local power areas. In this paper, mathematical modeling of IMs’ speed-time characteristics during no-load direct startup has been presented. Unlike the approaches presented in the literature, the proposed approach includes the bearing losses, in which two expressions of the speed-time characteristics of IMs during no-load direct startup are derived. The first expression was derived based on the Kloss equation used for representing the torque, and the second expression was derived based on the torque expression determined from the Thevenin equivalent circuit of the machine. The derived expressions’ accuracy was validated using laboratory measurement and computer simulation approaches. The results obtained show a good agreement between the measured and simulated speed-time characteristics of two IMs. Finally, the proposed formulations can provide a simple analytical base to enable accurate IM modeling. |
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issn | 2076-3417 |
language | English |
last_indexed | 2024-03-10T10:52:06Z |
publishDate | 2021-05-01 |
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spelling | doaj.art-d4137e28ce8f460ebbf47d7c3a58773e2023-11-21T22:12:25ZengMDPI AGApplied Sciences2076-34172021-05-011111510210.3390/app11115102A Novel Exact Analytical Solution Based on Kloss Equation towards Accurate Speed-Time Characteristics Modeling of Induction Machines during No-Load Direct StartupsMartin Ćalasan0Mohammed Alqarni1Marko Rosić2Nikola Koljčević3Basem Alamri4Shady H. E. Abdel Aleem5Faculty of Electrical Engineering, University of Montenegro, Dzordza Vasingtona, 81000 Podgorica, MontenegroCollege of Engineering, University of Business and Technology (UBT), Jeddah 23846, Saudi ArabiaFaculty of Technical Sciences, University of Kragujevac, 32000 Čačak, SerbiaFaculty of Electrical Engineering, University of Montenegro, Dzordza Vasingtona, 81000 Podgorica, MontenegroDepartment of Electrical Engineering, College of Engineering, Taif University, Taif 21944, Saudi ArabiaDepartment of Electrical Engineering and Electronics, Valley Higher Institute of Engineering and Technology, Science Valley Academy, Al-Qalyubia 44971, EgyptThe acceleration time of induction machines (IMs) is essential for proper protection-relay settings of the machine to prevent voltage sags in local power areas. In this paper, mathematical modeling of IMs’ speed-time characteristics during no-load direct startup has been presented. Unlike the approaches presented in the literature, the proposed approach includes the bearing losses, in which two expressions of the speed-time characteristics of IMs during no-load direct startup are derived. The first expression was derived based on the Kloss equation used for representing the torque, and the second expression was derived based on the torque expression determined from the Thevenin equivalent circuit of the machine. The derived expressions’ accuracy was validated using laboratory measurement and computer simulation approaches. The results obtained show a good agreement between the measured and simulated speed-time characteristics of two IMs. Finally, the proposed formulations can provide a simple analytical base to enable accurate IM modeling.https://www.mdpi.com/2076-3417/11/11/5102bearing lossesinduction machinesmathematical modelingno-load operationspeed-time characteristicstransient operation |
spellingShingle | Martin Ćalasan Mohammed Alqarni Marko Rosić Nikola Koljčević Basem Alamri Shady H. E. Abdel Aleem A Novel Exact Analytical Solution Based on Kloss Equation towards Accurate Speed-Time Characteristics Modeling of Induction Machines during No-Load Direct Startups Applied Sciences bearing losses induction machines mathematical modeling no-load operation speed-time characteristics transient operation |
title | A Novel Exact Analytical Solution Based on Kloss Equation towards Accurate Speed-Time Characteristics Modeling of Induction Machines during No-Load Direct Startups |
title_full | A Novel Exact Analytical Solution Based on Kloss Equation towards Accurate Speed-Time Characteristics Modeling of Induction Machines during No-Load Direct Startups |
title_fullStr | A Novel Exact Analytical Solution Based on Kloss Equation towards Accurate Speed-Time Characteristics Modeling of Induction Machines during No-Load Direct Startups |
title_full_unstemmed | A Novel Exact Analytical Solution Based on Kloss Equation towards Accurate Speed-Time Characteristics Modeling of Induction Machines during No-Load Direct Startups |
title_short | A Novel Exact Analytical Solution Based on Kloss Equation towards Accurate Speed-Time Characteristics Modeling of Induction Machines during No-Load Direct Startups |
title_sort | novel exact analytical solution based on kloss equation towards accurate speed time characteristics modeling of induction machines during no load direct startups |
topic | bearing losses induction machines mathematical modeling no-load operation speed-time characteristics transient operation |
url | https://www.mdpi.com/2076-3417/11/11/5102 |
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