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Generation of new three-dimensional structure of permanent magnet motors using topology optimization

Research Project

Project/Area Number 21H01301
Research Category

Grant-in-Aid for Scientific Research (B)

Allocation TypeSingle-year Grants
Section一般
Review Section Basic Section 21010:Power engineering-related
Research InstitutionHokkaido University

Principal Investigator

Igarashi Hajime  北海道大学, 情報科学研究院, 教授 (90212737)

Project Period (FY) 2021-04-01 – 2024-03-31
Project Status Completed (Fiscal Year 2023)
Budget Amount *help
¥17,160,000 (Direct Cost: ¥13,200,000、Indirect Cost: ¥3,960,000)
Fiscal Year 2023: ¥4,550,000 (Direct Cost: ¥3,500,000、Indirect Cost: ¥1,050,000)
Fiscal Year 2022: ¥7,280,000 (Direct Cost: ¥5,600,000、Indirect Cost: ¥1,680,000)
Fiscal Year 2021: ¥5,330,000 (Direct Cost: ¥4,100,000、Indirect Cost: ¥1,230,000)
Keywordsトポロジー最適化 / 最適設計 / 深層学習 / 電磁界解析 / 永久磁石モータ / モンテカルロ木探索 / 機械学習 / 遺伝的アルゴリズム
Outline of Research at the Start

本研究では,鉄心形状および永久磁石形状および配向を,モータ断面内のみならず,モータ軸方向にも変化させて最適構造を探索する3次元トポロジー最適化を実現する.本研究により,たとえば軸方向に回転子が磁石埋め込み型から表面磁石型に変化するような,全く新しいモータ3次元構造を獲得する.本手法の確立により,モータ性能の飛躍的向上を目指す.さらに深層学習による3次元トポロジー最適化の高速化を実現する.

Outline of Final Research Achievements

In this study, topology optimization using the Gaussian basis was performed to obtain a new three-dimensional structure for permanent magnet motors. For this purpose, the motor was divided into several layers in the direction of the axis of rotation, and topology optimization was performed to find the optimal cross-sectional shape for each layer. This resulted in a new three-dimensional rotor structure with high average torque and extremely low torque ripple. For a three-dimensional permanent magnet motor with a stepped skew in the axial direction, simultaneous parameter and topology optimization of the skew angle and flux barrier structure was achieved. As a result, a motor structure with low torque ripple and robustness to manufacturing errors was obtained. A method to accelerate topology optimization by deep learning was also developed.

Academic Significance and Societal Importance of the Research Achievements

本研究では,永久磁石モータの回転子構造の3次元トポロジー最適化を行った.本最適化では,回転子を複数の層に分割し,それぞれの層で独立に永久磁石構造を変化させることで,モータ全体の平均トルクを最大化しつつ,トルクリプルを最小化した.最適化により見出した各層で異なる永久磁石構造を持つモータは,これまで報告がなく,学術的な新規性を有する.また本研究では,スキュー角と回転子の磁気トポロジーを同時に最適化する新しい手法を開発した.これら研究成果は,電気自動車用モータなど高い性能が要求されるモータの開発に有効である.

Report

(4 results)
  • 2023 Annual Research Report   Final Research Report ( PDF )
  • 2022 Annual Research Report
  • 2021 Annual Research Report
  • Research Products

    (48 results)

All 2024 2023 2022 2021

All Journal Article (24 results) (of which Int'l Joint Research: 1 results,  Peer Reviewed: 23 results,  Open Access: 9 results) Presentation (21 results) (of which Int'l Joint Research: 11 results,  Invited: 9 results) Book (2 results) Patent(Industrial Property Rights) (1 results)

  • [Journal Article] Topology Optimization of a Surface Permanent Magnet Motor With High Torque Density2024

    • Author(s)
      Hayashi Shogo、Yatsurugi Manabu、Kubota Yoshihisa、Soma Shingo、Igarashi Hajime
    • Journal Title

      IEEE Transactions on Magnetics

      Volume: 60 Issue: 3 Pages: 1-5

    • DOI

      10.1109/tmag.2023.3309538

    • Related Report
      2023 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Generalization Performance in Predicting Torque Characteristics Using Convolutional Neural Network and Stator Magnetic Flux2024

    • Author(s)
      Iwata Kazuhisa、Sasaki Hidenori、Igarashi Hajime、Nakagawa Daisuke、Ueda Tomoya
    • Journal Title

      IEEE Transactions on Magnetics

      Volume: 60 Issue: 3 Pages: 1-4

    • DOI

      10.1109/tmag.2023.3303458

    • Related Report
      2023 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Visual Interpretation of Topology Optimization Results Based on Deep Learning2024

    • Author(s)
      Sato Hayaho、Igarashi Hajime
    • Journal Title

      IEEE Transactions on Magnetics

      Volume: 60 Issue: 3 Pages: 1-4

    • DOI

      10.1109/tmag.2023.3301963

    • Related Report
      2023 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Topology-Parameter Hybrid Optimization of Skewed Permanent Magnet Motor2023

    • Author(s)
      Hayashi Shogo、Kubota Yoshihisa、Soma Shingo、Oya Satoyoshi、Igarashi Hajime
    • Journal Title

      IEEE Transactions on Magnetics

      Volume: 59 Issue: 5 Pages: 1-4

    • DOI

      10.1109/tmag.2023.3239620

    • Related Report
      2023 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Fast Topology Optimization for PM Motors Using Variational Autoencoder and Neural Networks With Dropout2023

    • Author(s)
      Sato Hayaho、Igarashi Hajime
    • Journal Title

      IEEE Transactions on Magnetics

      Volume: 59 Issue: 5 Pages: 1-4

    • DOI

      10.1109/tmag.2023.3242288

    • Related Report
      2023 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Multi-Objective Automatic Design of Permanent Magnet Motor Using Monte Carlo Tree Search2023

    • Author(s)
      Sato Hayaho、Igarashi Hajime
    • Journal Title

      IEEE Transactions on Magnetics

      Volume: 59 Issue: 5 Pages: 1-4

    • DOI

      10.1109/tmag.2023.3254510

    • Related Report
      2023 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Robust Covariance Matrix Adaptation Evolution Strategy: Optimal Design of Magnetic Devices Considering Material Variation2023

    • Author(s)
      Maruo Akito、Igarashi Hajime
    • Journal Title

      IEEE Access

      Volume: 11 Pages: 67230-67239

    • DOI

      10.1109/access.2023.3288287

    • Related Report
      2023 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] 2.5-D Multi-Phase Topology Optimization of Permanent Magnet Motor Using Gaussian Basis Function2022

    • Author(s)
      Otomo Yoshitsugu、Igarashi Hajime、Sato Tomohiro、Suetsugu Yoshihisa、Fujioka Eiji
    • Journal Title

      IEEE Transactions on Magnetics

      Volume: 58 Issue: 9 Pages: 1-4

    • DOI

      10.1109/tmag.2022.3171558

    • Related Report
      2022 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Prediction of IPM Machine Torque Characteristics Using Deep Learning Based on Magnetic Field Distribution2022

    • Author(s)
      Sasaki Hidenori、Hidaka Yuki、Igarashi Hajime
    • Journal Title

      IEEE Access

      Volume: 10 Pages: 60814-60822

    • DOI

      10.1109/access.2022.3179835

    • Related Report
      2022 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Fast Multi-Objective Optimization of Electromagnetic Devices Using Adaptive Neural Network Surrogate Model2022

    • Author(s)
      Sato Hayaho、Igarashi Hajime
    • Journal Title

      IEEE Transactions on Magnetics

      Volume: 58 Issue: 5 Pages: 1-9

    • DOI

      10.1109/tmag.2022.3150271

    • Related Report
      2022 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Direct Inverse Modeling for Electromagnetic Components Using Gaussian Kernel Regression2022

    • Author(s)
      Sato Yuki、Kawano Kenji、Igarashi Hajime
    • Journal Title

      IEEE Transactions on Magnetics

      Volume: 58 Issue: 5 Pages: 1-8

    • DOI

      10.1109/tmag.2022.3152024

    • Related Report
      2022 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Prediction of Current-Dependent Motor Torque Characteristics Using Deep Learning for Topology Optimization2022

    • Author(s)
      Aoyagi Taiga、Otomo Yoshitsugu、Igarashi Hajime、Sasaki Hidenori、Hidaka Yuki、Arita Hideaki
    • Journal Title

      IEEE Transactions on Magnetics

      Volume: 58 Issue: 9 Pages: 1-4

    • DOI

      10.1109/tmag.2022.3167254

    • Related Report
      2022 Annual Research Report
  • [Journal Article] Automatic Design of PM Motor Using Monte Carlo Tree Search in Conjunction With Topology Optimization2022

    • Author(s)
      Sato Hayaho、Igarashi Hajime
    • Journal Title

      IEEE Transactions on Magnetics

      Volume: 58 Issue: 9 Pages: 1-4

    • DOI

      10.1109/tmag.2022.3164926

    • Related Report
      2022 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Topology Optimization of Permanent Magnet Synchronous Motor Considering the Control System2022

    • Author(s)
      Hayashi Shogo、Kubota Yoshihisa、Soma Shingo、Ohtani Makoto、Igarashi Hajime
    • Journal Title

      IEEE Transactions on Magnetics

      Volume: 58 Issue: 9 Pages: 1-5

    • DOI

      10.1109/tmag.2022.3172718

    • Related Report
      2022 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Error Estimator for Cauer Ladder Network Representation2022

    • Author(s)
      Hiruma Shingo、Clenet Stephane、Igarashi Hajime、Henneron Thomas
    • Journal Title

      IEEE Transactions on Magnetics

      Volume: 58 Issue: 9 Pages: 1-4

    • DOI

      10.1109/tmag.2022.3165943

    • Related Report
      2022 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] 人工知能(AI)技術と電磁気学を用いた最適設計[I]-トポロジー最適化2022

    • Author(s)
      五十嵐,伊藤
    • Journal Title

      電子情報通信学会誌

      Volume: vol.105, no.1 Pages: 33-38

    • Related Report
      2021 Annual Research Report
    • Peer Reviewed
  • [Journal Article] 人工知能(AI)技術と電磁気学を用いた最適設計[I]-深層学習・モンテカルロ木探索の応用2022

    • Author(s)
      五十嵐,佐々木
    • Journal Title

      電子情報通信学会誌

      Volume: vol.105, no.2 Pages: 150-155

    • Related Report
      2021 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Synthesis of a Cauer Equivalent Circuit for Electric Devices From Computed and Measured Data2021

    • Author(s)
      Otomo Yoshitsugu、Igarashi Hajime
    • Journal Title

      IEEE Transactions on Power Electronics

      Volume: 36 Issue: 4 Pages: 4513-4521

    • DOI

      10.1109/tpel.2020.3022167

    • NAID

      120006937001

    • Related Report
      2021 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Three-dimensional Analysis of Soft Magnetic Composite Using Discrete Element Method in Frequency Domain2021

    • Author(s)
      Sato Hayaho、Igarashi Hajime
    • Journal Title

      IEEE Transactions on Magnetics

      Volume: Early access Issue: 6 Pages: 1-4

    • DOI

      10.1109/tmag.2021.3059034

    • Related Report
      2021 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Topology Optimization Using Gabor Filter: Application to Synchronous Reluctance Motor2021

    • Author(s)
      Otomo Yoshitsugu、Igarashi Hajime
    • Journal Title

      IEEE Transactions on Magnetics

      Volume: 57 Issue: 6 Pages: 1-4

    • DOI

      10.1109/tmag.2021.3057402

    • Related Report
      2021 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Explainable Deep Neural Network for Design of Electric Motors2021

    • Author(s)
      Sasaki Hidenori, Hidaka Yuki, Igarashi Hajime
    • Journal Title

      IEEE Transactions on Magnetics

      Volume: Early access Issue: 6 Pages: 1-4

    • DOI

      10.1109/tmag.2021.3063141

    • Related Report
      2021 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Novel Hybridization of Parameter and Topology Optimizations: Application to Permanent Magnet Motor2021

    • Author(s)
      S. Hiruma; M. Ohtani; S. Soma; Y. Kubota; Hajime Igarashi
    • Journal Title

      IEEE Transactions on Magnetics

      Volume: vol.57,no.7 Issue: 7 Pages: 3078435-3078435

    • DOI

      10.1109/tmag.2021.3078435

    • Related Report
      2021 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Analysis of Litz Wire Losses Using Homogenization-Based FEM2021

    • Author(s)
      Y. Otomo; H. Igarashi; H. Sano; T. Yamada
    • Journal Title

      IEEE Transactions on Magnetics

      Volume: vol.57,no.8 Issue: 8 Pages: 3081819-3081819

    • DOI

      10.1109/tmag.2021.3081819

    • NAID

      120007124446

    • Related Report
      2021 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Deep learning-based surrogate model for fast multi-material topology optimization of IPM motor2021

    • Author(s)
      H. Sato, H. Igarashi
    • Journal Title

      COMPEL - The international journal for computation and mathematics in electrical and electronic engineering

      Volume: vol.41, no.3 Issue: 3 Pages: 900-914

    • DOI

      10.1108/compel-03-2021-0086

    • Related Report
      2021 Annual Research Report
    • Peer Reviewed / Open Access
  • [Presentation] 磁気デバイスのモデリング・最適化・AIによる設計2024

    • Author(s)
      五十嵐一
    • Organizer
      磁気学会第246回研究会
    • Related Report
      2023 Annual Research Report
    • Invited
  • [Presentation] 均質化法およびDowellの方法による渦電流損解析について2024

    • Author(s)
      五十嵐一,Qiao Liu,Shuli Yin
    • Organizer
      電気学会研究会
    • Related Report
      2023 Annual Research Report
  • [Presentation] 回転機の設計最適化と代理モデルの活用2024

    • Author(s)
      佐藤駿輔,五十嵐一
    • Organizer
      電気学会全国大会
    • Related Report
      2023 Annual Research Report
    • Invited
  • [Presentation] Multi-objective Optimization of Inductors Based on Neural Network2023

    • Author(s)
      Xiaohan Kong, Hajime Igarashi
    • Organizer
      OIPE2023
    • Related Report
      2023 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Monte Carlo Tree Search Applied to Design of Wireless Power Transfer System2023

    • Author(s)
      Shuli Yin, Kazuki Sato, Yuki Ito, Hiroaki Ota, Yoshitsugu Otomo, Hajime Igarashi
    • Organizer
      OIPE2023
    • Related Report
      2023 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Homogenized Finite Element Analysis of Motor Windings Based on Cauer circuit2023

    • Author(s)
      Qiao Liu, Hajime Igarashi,
    • Organizer
      OIPE2023
    • Related Report
      2023 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Topology Optimization of Synchronous Reluctance Motor Using Regularized NGnet Method2023

    • Author(s)
      Sato Hayaho, Igarashi Hajime
    • Organizer
      ISEF2023
    • Related Report
      2023 Annual Research Report
    • Int'l Joint Research
  • [Presentation] On predicting the accuracy of surrogate model based on deep learning for microstrip lines2023

    • Author(s)
      Jibiki Takuto, Kawasaki Takeshi, Tanomura Masahiro, Igarashi Hajime
    • Organizer
      ISEF2023
    • Related Report
      2023 Annual Research Report
    • Int'l Joint Research
  • [Presentation] AI技術のモータ設計開発への応用2023

    • Author(s)
      五十嵐一
    • Organizer
      電気学会全国大会
    • Related Report
      2022 Annual Research Report
    • Invited
  • [Presentation] モンテカルロ木探索を用いた最適設計2023

    • Author(s)
      佐藤駿輔, 五十嵐一
    • Organizer
      電気学会全国大会
    • Related Report
      2022 Annual Research Report
    • Invited
  • [Presentation] 深層学習によるモータトポロジー最適化の高速化2023

    • Author(s)
      佐々木秀徳, 五十嵐一
    • Organizer
      電気学会全国大会
    • Related Report
      2022 Annual Research Report
    • Invited
  • [Presentation] Optimal Design of Electric Devices Based on Machine Learning2022

    • Author(s)
      Hajime Igarashi
    • Organizer
      ISEM2022
    • Related Report
      2022 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] トポロジー最適化・機械学習を用いた最適設計2022

    • Author(s)
      五十嵐一
    • Organizer
      モータ技術シンポジウム
    • Related Report
      2022 Annual Research Report
    • Invited
  • [Presentation] 電気電子機器のトポロジー最適化とAIによる最適設計2022

    • Author(s)
      五十嵐一
    • Organizer
      システム制御情報学会セミナー
    • Related Report
      2022 Annual Research Report
    • Invited
  • [Presentation] Prediction of Current-dependent Motor Torque Characteristics Using Deep Learning for Topology Optimization2022

    • Author(s)
      Taiga Aoyagi, Yoshitsugu Otomo, Hajime Igarashi, Hidenori Sasaki, Yuki Hidaka, Hideaki Arita
    • Organizer
      COMPUMAG2021
    • Related Report
      2021 Annual Research Report
    • Int'l Joint Research
  • [Presentation] 2.5-D Multi-Phase Topology Optimization of Permanent Magnet Motor Using Gaussian Basis Function2022

    • Author(s)
      Yoshitsugu Otomo, Hajime Igarashi, Tomohiro Sato, Yoshihisa Suetsugu, Eiji Fujioka
    • Organizer
      COMPUMAG2021
    • Related Report
      2021 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Topology Optimization of Electromagnetic Devices Using Digital Annealer2022

    • Author(s)
      Akito Maruo, Takeshi Soeda, Hajime Igarashi
    • Organizer
      COMPUMAG2021
    • Related Report
      2021 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Automatic Design of PM Motor Using Monte-Carlo Tree Search in Conjunction with Topology Optimization2022

    • Author(s)
      Hayaho Sato, Hajime Igarashi
    • Organizer
      COMPUMAG2021
    • Related Report
      2021 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Topology Optimization of Permanent Magnet Synchronous Motor Considering Control System2022

    • Author(s)
      Shogo Hayashi, Yoshihisa Kubota, Shingo Soma, Makoto Ohtani, Hajime Igarashi
    • Organizer
      Proc.COMPUMAG2021
    • Related Report
      2021 Annual Research Report
    • Int'l Joint Research
  • [Presentation] 電気電子機器のトポロジー最適化および人工知能を用いた自動設計2021

    • Author(s)
      五十嵐一
    • Organizer
      テクノフロンティア2021 技術シンポジウム
    • Related Report
      2021 Annual Research Report
    • Invited
  • [Presentation] 永久磁石モータの2.5次元マルチフェーズ最適化の基礎検討2021

    • Author(s)
      大友佳嗣, 五十嵐一, 佐藤智宏, 末次恵久, 藤岡英二
    • Organizer
      2021年電気学会産業応用部門大会
    • Related Report
      2021 Annual Research Report
  • [Book] Topology Optimization and AI-based Design of Power Electronic and Electrical Devices2024

    • Author(s)
      Hajime Igarashi
    • Total Pages
      382
    • Publisher
      Academic Press
    • ISBN
      0323991661
    • Related Report
      2023 Annual Research Report
  • [Book] 電磁界解析による最適設計2023

    • Author(s)
      五十嵐 一
    • Total Pages
      352
    • Publisher
      森北出版
    • ISBN
      4627787715
    • Related Report
      2022 Annual Research Report
  • [Patent(Industrial Property Rights)] 回転電機のロータ2023

    • Inventor(s)
      五十嵐一,林翔吾,久保田芳永,相馬慎吾,八釼学
    • Industrial Property Rights Holder
      五十嵐一,林翔吾,久保田芳永,相馬慎吾,八釼学
    • Industrial Property Rights Type
      特許
    • Industrial Property Number
      2023-093221
    • Filing Date
      2023
    • Related Report
      2023 Annual Research Report

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Published: 2021-04-28   Modified: 2025-01-30  

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