Fast Calculation of Electromagnetic Forces in IPMSMs Under PWM VSI Supply Based on Small-Signal Time-Harmonic Finite Element Method

This paper introduces a novel method for fast calculating the electromagnetic forces in interior permanent magnet synchronous machines (IPMSMs) under pulse width modulation (PWM) voltage source inverter (VSI) supply based on the small-signal time-harmonic finite element analysis (THFEA), which has b...

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Main Authors: Sa Zhu, Jianbo Lu, Feng Zeng
Format: Article
Language:English
Published: China Electrotechnical Society 2022-03-01
Series:CES Transactions on Electrical Machines and Systems
Subjects:
Online Access:https://ieeexplore.ieee.org/document/9745852
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author Sa Zhu
Jianbo Lu
Feng Zeng
author_facet Sa Zhu
Jianbo Lu
Feng Zeng
author_sort Sa Zhu
collection DOAJ
description This paper introduces a novel method for fast calculating the electromagnetic forces in interior permanent magnet synchronous machines (IPMSMs) under pulse width modulation (PWM) voltage source inverter (VSI) supply based on the small-signal time-harmonic finite element analysis (THFEA), which has been successfully utilized for fast calculating the PWM-induced losses in silicon steel sheets and permanent magnets. Based on the small-signal THFEA, the functional relationships between high-frequency harmonic voltages (HFHVs) and corresponding airgap flux densities are established, which are used for calculating the flux density spectra caused by each HFHV in the PWM voltage spectra. Then, the superposition principle is applied for calculating the flux density spectra caused by fundamental currents and all HFHVs, which are converted to the electromagnetic force spectra at last. The relative errors between the force density spectra calculated with the proposed method and those obtained from traditional time-stepping finite element analysis (TSFEA) using PWM voltages as input are within 3.1%, while the proposed method is 24 times faster than the traditional TSFEA.
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spelling doaj.art-5a22f81b577a46e5911e4a8b834212df2023-08-03T03:07:01ZengChina Electrotechnical SocietyCES Transactions on Electrical Machines and Systems2096-35642837-03252022-03-0161677610.30941/CESTEMS.2022.00010Fast Calculation of Electromagnetic Forces in IPMSMs Under PWM VSI Supply Based on Small-Signal Time-Harmonic Finite Element Method Sa Zhu0Jianbo Lu1Feng Zeng2College of Energy and Electrical Engineering, Hohai University, Nanjing, ChinaCollege of Energy and Electrical Engineering, Hohai University, Nanjing, ChinaCollege of Energy and Electrical Engineering, Hohai University, Nanjing, ChinaThis paper introduces a novel method for fast calculating the electromagnetic forces in interior permanent magnet synchronous machines (IPMSMs) under pulse width modulation (PWM) voltage source inverter (VSI) supply based on the small-signal time-harmonic finite element analysis (THFEA), which has been successfully utilized for fast calculating the PWM-induced losses in silicon steel sheets and permanent magnets. Based on the small-signal THFEA, the functional relationships between high-frequency harmonic voltages (HFHVs) and corresponding airgap flux densities are established, which are used for calculating the flux density spectra caused by each HFHV in the PWM voltage spectra. Then, the superposition principle is applied for calculating the flux density spectra caused by fundamental currents and all HFHVs, which are converted to the electromagnetic force spectra at last. The relative errors between the force density spectra calculated with the proposed method and those obtained from traditional time-stepping finite element analysis (TSFEA) using PWM voltages as input are within 3.1%, while the proposed method is 24 times faster than the traditional TSFEA.https://ieeexplore.ieee.org/document/9745852time-harmonic finite element analysis (thfea)interior permanent magnet synchronous machines (ipmsms)electromagnetic forcespulse width modulationvibration and acoustic noise
spellingShingle Sa Zhu
Jianbo Lu
Feng Zeng
Fast Calculation of Electromagnetic Forces in IPMSMs Under PWM VSI Supply Based on Small-Signal Time-Harmonic Finite Element Method
CES Transactions on Electrical Machines and Systems
time-harmonic finite element analysis (thfea)
interior permanent magnet synchronous machines (ipmsms)
electromagnetic forces
pulse width modulation
vibration and acoustic noise
title Fast Calculation of Electromagnetic Forces in IPMSMs Under PWM VSI Supply Based on Small-Signal Time-Harmonic Finite Element Method
title_full Fast Calculation of Electromagnetic Forces in IPMSMs Under PWM VSI Supply Based on Small-Signal Time-Harmonic Finite Element Method
title_fullStr Fast Calculation of Electromagnetic Forces in IPMSMs Under PWM VSI Supply Based on Small-Signal Time-Harmonic Finite Element Method
title_full_unstemmed Fast Calculation of Electromagnetic Forces in IPMSMs Under PWM VSI Supply Based on Small-Signal Time-Harmonic Finite Element Method
title_short Fast Calculation of Electromagnetic Forces in IPMSMs Under PWM VSI Supply Based on Small-Signal Time-Harmonic Finite Element Method
title_sort fast calculation of electromagnetic forces in ipmsms under pwm vsi supply based on small signal time harmonic finite element method
topic time-harmonic finite element analysis (thfea)
interior permanent magnet synchronous machines (ipmsms)
electromagnetic forces
pulse width modulation
vibration and acoustic noise
url https://ieeexplore.ieee.org/document/9745852
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AT jianbolu fastcalculationofelectromagneticforcesinipmsmsunderpwmvsisupplybasedonsmallsignaltimeharmonicfiniteelementmethod
AT fengzeng fastcalculationofelectromagneticforcesinipmsmsunderpwmvsisupplybasedonsmallsignaltimeharmonicfiniteelementmethod