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...

Popoln opis

Bibliografske podrobnosti
Main Authors: Martin Ćalasan, Mohammed Alqarni, Marko Rosić, Nikola Koljčević, Basem Alamri, Shady H. E. Abdel Aleem
Format: Article
Jezik:English
Izdano: MDPI AG 2021-05-01
Serija:Applied Sciences
Teme:
Online dostop:https://www.mdpi.com/2076-3417/11/11/5102
_version_ 1827691022032830464
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.
first_indexed 2024-03-10T10:52:06Z
format Article
id doaj.art-d4137e28ce8f460ebbf47d7c3a58773e
institution Directory Open Access Journal
issn 2076-3417
language English
last_indexed 2024-03-10T10:52:06Z
publishDate 2021-05-01
publisher MDPI AG
record_format Article
series Applied Sciences
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
work_keys_str_mv AT martincalasan anovelexactanalyticalsolutionbasedonklossequationtowardsaccuratespeedtimecharacteristicsmodelingofinductionmachinesduringnoloaddirectstartups
AT mohammedalqarni anovelexactanalyticalsolutionbasedonklossequationtowardsaccuratespeedtimecharacteristicsmodelingofinductionmachinesduringnoloaddirectstartups
AT markorosic anovelexactanalyticalsolutionbasedonklossequationtowardsaccuratespeedtimecharacteristicsmodelingofinductionmachinesduringnoloaddirectstartups
AT nikolakoljcevic anovelexactanalyticalsolutionbasedonklossequationtowardsaccuratespeedtimecharacteristicsmodelingofinductionmachinesduringnoloaddirectstartups
AT basemalamri anovelexactanalyticalsolutionbasedonklossequationtowardsaccuratespeedtimecharacteristicsmodelingofinductionmachinesduringnoloaddirectstartups
AT shadyheabdelaleem anovelexactanalyticalsolutionbasedonklossequationtowardsaccuratespeedtimecharacteristicsmodelingofinductionmachinesduringnoloaddirectstartups
AT martincalasan novelexactanalyticalsolutionbasedonklossequationtowardsaccuratespeedtimecharacteristicsmodelingofinductionmachinesduringnoloaddirectstartups
AT mohammedalqarni novelexactanalyticalsolutionbasedonklossequationtowardsaccuratespeedtimecharacteristicsmodelingofinductionmachinesduringnoloaddirectstartups
AT markorosic novelexactanalyticalsolutionbasedonklossequationtowardsaccuratespeedtimecharacteristicsmodelingofinductionmachinesduringnoloaddirectstartups
AT nikolakoljcevic novelexactanalyticalsolutionbasedonklossequationtowardsaccuratespeedtimecharacteristicsmodelingofinductionmachinesduringnoloaddirectstartups
AT basemalamri novelexactanalyticalsolutionbasedonklossequationtowardsaccuratespeedtimecharacteristicsmodelingofinductionmachinesduringnoloaddirectstartups
AT shadyheabdelaleem novelexactanalyticalsolutionbasedonklossequationtowardsaccuratespeedtimecharacteristicsmodelingofinductionmachinesduringnoloaddirectstartups