Analysis of the Flux Density and Back EMF in Eccentric Permanent Magnet Machines Based on 2-D Air-Gap Modulation Theory

Hengliang Zhang; Yuchen Wang; Wei Hua; David Gerada; Ming Cheng

doi:10.1109/TTE.2022.3190728

Analysis of the Flux Density and Back EMF in Eccentric Permanent Magnet Machines Based on 2-D Air-Gap Modulation Theory

Hengliang Zhang, Yuchen Wang, Wei Hua, David Gerada, Ming Cheng

Department of Electrical and Electronic Engineering

Research output: Journal Publication › Article › peer-review

11 Citations (Scopus)

Abstract

In this article, the unified 2-D air-gap field modulation (AFM) model is established to analyze the flux density and back electromagnetic force (EMF) in both rotor-permanent magnet (PM) and stator-PM machines under eccentricity. For the temporal distribution of flux density, the static eccentricity (SE) causes amplitude unbalance, while the dynamic eccentricity (DE) leads to sideband harmonic components. The sideband harmonic is commonly regarded as a double-sideband (DSB) modulation effect, but it may be a single sideband (SSB) modulation effect in some specific cases, which is analytically and experimentally proved in this article. More importantly, a quantitative description of how eccentricity influences the phase back EMF is provided, which is only qualitatively expressed in the existing literature. A standardized analysis process is also given, which can be used for different machine topologies. The aforementioned conclusions are validated by the simulations and experiments on two prototyped machines, namely, an 18-slot 20-pole (18s/20p) surface-mounted PM (SPM) machine and a 12s/10p flux-switching PM (FSPM) machine.

Original language	English
Pages (from-to)	4325-4336
Number of pages	12
Journal	IEEE Transactions on Transportation Electrification
Volume	8
Issue number	4
DOIs	https://doi.org/10.1109/TTE.2022.3190728
Publication status	Published - 1 Dec 2022

Keywords

Air-gap field modulation (AFM)
back electromagnetic force (EMF)
eccentricity
flux density
permanent magnet (PM) machines

ASJC Scopus subject areas

Automotive Engineering
Transportation
Energy Engineering and Power Technology
Electrical and Electronic Engineering

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10.1109/TTE.2022.3190728

Cite this

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title = "Analysis of the Flux Density and Back EMF in Eccentric Permanent Magnet Machines Based on 2-D Air-Gap Modulation Theory",

abstract = "In this article, the unified 2-D air-gap field modulation (AFM) model is established to analyze the flux density and back electromagnetic force (EMF) in both rotor-permanent magnet (PM) and stator-PM machines under eccentricity. For the temporal distribution of flux density, the static eccentricity (SE) causes amplitude unbalance, while the dynamic eccentricity (DE) leads to sideband harmonic components. The sideband harmonic is commonly regarded as a double-sideband (DSB) modulation effect, but it may be a single sideband (SSB) modulation effect in some specific cases, which is analytically and experimentally proved in this article. More importantly, a quantitative description of how eccentricity influences the phase back EMF is provided, which is only qualitatively expressed in the existing literature. A standardized analysis process is also given, which can be used for different machine topologies. The aforementioned conclusions are validated by the simulations and experiments on two prototyped machines, namely, an 18-slot 20-pole (18s/20p) surface-mounted PM (SPM) machine and a 12s/10p flux-switching PM (FSPM) machine.",

keywords = "Air-gap field modulation (AFM), back electromagnetic force (EMF), eccentricity, flux density, permanent magnet (PM) machines",

author = "Hengliang Zhang and Yuchen Wang and Wei Hua and David Gerada and Ming Cheng",

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year = "2022",

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doi = "10.1109/TTE.2022.3190728",

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AU - Zhang, Hengliang

AU - Wang, Yuchen

AU - Hua, Wei

AU - Gerada, David

AU - Cheng, Ming

PY - 2022/12/1

Y1 - 2022/12/1

N2 - In this article, the unified 2-D air-gap field modulation (AFM) model is established to analyze the flux density and back electromagnetic force (EMF) in both rotor-permanent magnet (PM) and stator-PM machines under eccentricity. For the temporal distribution of flux density, the static eccentricity (SE) causes amplitude unbalance, while the dynamic eccentricity (DE) leads to sideband harmonic components. The sideband harmonic is commonly regarded as a double-sideband (DSB) modulation effect, but it may be a single sideband (SSB) modulation effect in some specific cases, which is analytically and experimentally proved in this article. More importantly, a quantitative description of how eccentricity influences the phase back EMF is provided, which is only qualitatively expressed in the existing literature. A standardized analysis process is also given, which can be used for different machine topologies. The aforementioned conclusions are validated by the simulations and experiments on two prototyped machines, namely, an 18-slot 20-pole (18s/20p) surface-mounted PM (SPM) machine and a 12s/10p flux-switching PM (FSPM) machine.

AB - In this article, the unified 2-D air-gap field modulation (AFM) model is established to analyze the flux density and back electromagnetic force (EMF) in both rotor-permanent magnet (PM) and stator-PM machines under eccentricity. For the temporal distribution of flux density, the static eccentricity (SE) causes amplitude unbalance, while the dynamic eccentricity (DE) leads to sideband harmonic components. The sideband harmonic is commonly regarded as a double-sideband (DSB) modulation effect, but it may be a single sideband (SSB) modulation effect in some specific cases, which is analytically and experimentally proved in this article. More importantly, a quantitative description of how eccentricity influences the phase back EMF is provided, which is only qualitatively expressed in the existing literature. A standardized analysis process is also given, which can be used for different machine topologies. The aforementioned conclusions are validated by the simulations and experiments on two prototyped machines, namely, an 18-slot 20-pole (18s/20p) surface-mounted PM (SPM) machine and a 12s/10p flux-switching PM (FSPM) machine.

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Analysis of the Flux Density and Back EMF in Eccentric Permanent Magnet Machines Based on 2-D Air-Gap Modulation Theory

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Keywords

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