Exact Modeling and Multiobjective Optimization of Vernier Machines

Hang Zhao; Chunhua Liu; Zaixin Song; Wusen Wang

doi:10.1109/TIE.2020.3044785

Exact Modeling and Multiobjective Optimization of Vernier Machines

Hang Zhao
, Chunhua Liu
, Zaixin Song
, Wusen Wang

Research output: Journal article publication › Journal article › Academic research › peer-review

33 Citations (Scopus)

Abstract

This article presents a high-fidelity analytical solution and a fast integrated optimization method for vernier machines. First, a harmonic modeling method (HMM) is adopted to obtain the magnetic field distribution of vernier machines. Particularly, the stator teeth of vernier machines are divided into several blocks to take account of the local magnetic saturation of soft-magnetic material. Then, the electromagnetic parameters, such as the average torque, torque ripple, and efficiency, can be calculated via the analytical model. Next, the proposed harmonic model is combined with the nondominated sorting genetic algorithm II (NSGA-II) to determine a multiobjective optimal design for the studied vernier machine. This integrated optimization method can save computation time, because the data interaction process between the finite-element analysis (FEA) software and the optimization software is eliminated. Finally, the performances of the optimal case are verified by both FEA and experiments with the prototype.

Original language	English
Article number	9301206
Pages (from-to)	11740-11751
Number of pages	12
Journal	IEEE Transactions on Industrial Electronics
Volume	68
Issue number	12
DOIs	https://doi.org/10.1109/TIE.2020.3044785
Publication status	Published - Dec 2021
Externally published	Yes

Keywords

Harmonic modeling method
integrated optimization
magnetic saturation
permanent magnet machine
vernier machine

ASJC Scopus subject areas

Control and Systems Engineering
Electrical and Electronic Engineering

More information

10.1109/TIE.2020.3044785

Cite this

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title = "Exact Modeling and Multiobjective Optimization of Vernier Machines",

abstract = "This article presents a high-fidelity analytical solution and a fast integrated optimization method for vernier machines. First, a harmonic modeling method (HMM) is adopted to obtain the magnetic field distribution of vernier machines. Particularly, the stator teeth of vernier machines are divided into several blocks to take account of the local magnetic saturation of soft-magnetic material. Then, the electromagnetic parameters, such as the average torque, torque ripple, and efficiency, can be calculated via the analytical model. Next, the proposed harmonic model is combined with the nondominated sorting genetic algorithm II (NSGA-II) to determine a multiobjective optimal design for the studied vernier machine. This integrated optimization method can save computation time, because the data interaction process between the finite-element analysis (FEA) software and the optimization software is eliminated. Finally, the performances of the optimal case are verified by both FEA and experiments with the prototype.",

keywords = "Harmonic modeling method, integrated optimization, magnetic saturation, permanent magnet machine, vernier machine",

author = "Hang Zhao and Chunhua Liu and Zaixin Song and Wusen Wang",

note = "Funding Information: This work was supported in part by the Natural Science Foundation of China under Grant 52077186 and Grant 51677159, in part by the Science Technology and Innovation Committee of Shenzhen Municipality, Shen-zhen, China, under Grant JCYJ20180307123918658, and in part by the Innovation and Technology Commission, Hong Kong SAR, under Grant ITP/027/19AP. Publisher Copyright: {\textcopyright} 1982-2012 IEEE.",

year = "2021",

month = dec,

doi = "10.1109/TIE.2020.3044785",

language = "English",

volume = "68",

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AU - Zhao, Hang

AU - Liu, Chunhua

AU - Song, Zaixin

AU - Wang, Wusen

N1 - Funding Information: This work was supported in part by the Natural Science Foundation of China under Grant 52077186 and Grant 51677159, in part by the Science Technology and Innovation Committee of Shenzhen Municipality, Shen-zhen, China, under Grant JCYJ20180307123918658, and in part by the Innovation and Technology Commission, Hong Kong SAR, under Grant ITP/027/19AP. Publisher Copyright: © 1982-2012 IEEE.

PY - 2021/12

Y1 - 2021/12

N2 - This article presents a high-fidelity analytical solution and a fast integrated optimization method for vernier machines. First, a harmonic modeling method (HMM) is adopted to obtain the magnetic field distribution of vernier machines. Particularly, the stator teeth of vernier machines are divided into several blocks to take account of the local magnetic saturation of soft-magnetic material. Then, the electromagnetic parameters, such as the average torque, torque ripple, and efficiency, can be calculated via the analytical model. Next, the proposed harmonic model is combined with the nondominated sorting genetic algorithm II (NSGA-II) to determine a multiobjective optimal design for the studied vernier machine. This integrated optimization method can save computation time, because the data interaction process between the finite-element analysis (FEA) software and the optimization software is eliminated. Finally, the performances of the optimal case are verified by both FEA and experiments with the prototype.

AB - This article presents a high-fidelity analytical solution and a fast integrated optimization method for vernier machines. First, a harmonic modeling method (HMM) is adopted to obtain the magnetic field distribution of vernier machines. Particularly, the stator teeth of vernier machines are divided into several blocks to take account of the local magnetic saturation of soft-magnetic material. Then, the electromagnetic parameters, such as the average torque, torque ripple, and efficiency, can be calculated via the analytical model. Next, the proposed harmonic model is combined with the nondominated sorting genetic algorithm II (NSGA-II) to determine a multiobjective optimal design for the studied vernier machine. This integrated optimization method can save computation time, because the data interaction process between the finite-element analysis (FEA) software and the optimization software is eliminated. Finally, the performances of the optimal case are verified by both FEA and experiments with the prototype.

KW - Harmonic modeling method

KW - integrated optimization

KW - magnetic saturation

KW - permanent magnet machine

KW - vernier machine

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DO - 10.1109/TIE.2020.3044785

M3 - Journal article

AN - SCOPUS:85098762766

SN - 0278-0046

VL - 68

SP - 11740

EP - 11751

JO - IEEE Transactions on Industrial Electronics

JF - IEEE Transactions on Industrial Electronics

IS - 12

M1 - 9301206

ER -

Exact Modeling and Multiobjective Optimization of Vernier Machines

Abstract

Keywords

ASJC Scopus subject areas

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