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Topology Optimization of Chip Inductor Using Density Method

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Názov: Topology Optimization of Chip Inductor Using Density Method
Autori: Yin, Shuli, Igarashi, Hajime, Clenet, Stephane
Prispievatelia: Xi'an Jiaotong University (Xjtu), Hokkaido University Sapporo, Japan, Laboratoire d’Électrotechnique et d’Électronique de Puissance - ULR 2697 (L2EP), Centrale Lille-Université de Lille-Arts et Métiers Sciences et Technologies-JUNIA (JUNIA), Université catholique de Lille (UCL)-Université catholique de Lille (UCL), National Natural Science Foundation of China Grant 52507019
Zdroj: ISSN: 1941-0069 ; IEEE Transactions on Magnetics ; https://hal.science/hal-05401068 ; IEEE Transactions on Magnetics, 2025, 6p. ⟨10.1109/tmag.2025.3628624⟩.
Informácie o vydavateľovi: CCSD
Rok vydania: 2025
Zbierka: LillOA (HAL Lille Open Archive, Université de Lille)
Predmety: adjoint variable method, density-based FEM, eddy current, field-circuit coupling, [SPI]Engineering Sciences [physics]
Popis: International audience ; This paper proposes a novel methodology of the topology optimization method considering eddy current effects. The method is applied on chip inductors modelled by the Finite Element Method (FEM). Aiming to meet a specified inductance value while minimizing eddy current losses, we employ a density-based approach to construct a continuous material distribution. The derivative of the objective function with respect to the material distribution is obtained using the adjoint variable method, then the material layout is iteratively updated via the L-BFGS-B algorithm. The proposed framework is validated on both single-turn and multi-turn inductor structures, achieving designs that satisfy the target performance within a limited number of iterations. A key innovation of this work lies in the integration of field-circuit coupling into the topology optimization framework, enabling the analysis of inductors under complex coil configurations involving both series and parallel connections. Additionally, we present an original derivation of the sensitivity formulation associated with the inductance value ensuring that the optimized inductance meets the design specification.
Druh dokumentu: article in journal/newspaper
Jazyk: English
DOI: 10.1109/tmag.2025.3628624
Dostupnosť: https://hal.science/hal-05401068
https://hal.science/hal-05401068v1/document
https://hal.science/hal-05401068v1/file/L2EP_IEEE_2025_CLENET.pdf
https://doi.org/10.1109/tmag.2025.3628624
Prístupové číslo: edsbas.51C775CC
Databáza: BASE
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Items – Name: Title
  Label: Title
  Group: Ti
  Data: Topology Optimization of Chip Inductor Using Density Method
– Name: Author
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  Data: <searchLink fieldCode="AR" term="%22Yin%2C+Shuli%22">Yin, Shuli</searchLink><br /><searchLink fieldCode="AR" term="%22Igarashi%2C+Hajime%22">Igarashi, Hajime</searchLink><br /><searchLink fieldCode="AR" term="%22Clenet%2C+Stephane%22">Clenet, Stephane</searchLink>
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  Data: Xi'an Jiaotong University (Xjtu)<br />Hokkaido University Sapporo, Japan<br />Laboratoire d’Électrotechnique et d’Électronique de Puissance - ULR 2697 (L2EP)<br />Centrale Lille-Université de Lille-Arts et Métiers Sciences et Technologies-JUNIA (JUNIA)<br />Université catholique de Lille (UCL)-Université catholique de Lille (UCL)<br />National Natural Science Foundation of China Grant 52507019
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  Data: <i>ISSN: 1941-0069 ; IEEE Transactions on Magnetics ; https://hal.science/hal-05401068 ; IEEE Transactions on Magnetics, 2025, 6p. ⟨10.1109/tmag.2025.3628624⟩</i>.
– Name: Publisher
  Label: Publisher Information
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  Data: CCSD
– Name: DatePubCY
  Label: Publication Year
  Group: Date
  Data: 2025
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  Data: LillOA (HAL Lille Open Archive, Université de Lille)
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  Data: <searchLink fieldCode="DE" term="%22adjoint+variable+method%22">adjoint variable method</searchLink><br /><searchLink fieldCode="DE" term="%22density-based+FEM%22">density-based FEM</searchLink><br /><searchLink fieldCode="DE" term="%22eddy+current%22">eddy current</searchLink><br /><searchLink fieldCode="DE" term="%22field-circuit+coupling%22">field-circuit coupling</searchLink><br /><searchLink fieldCode="DE" term="%22[SPI]Engineering+Sciences+[physics]%22">[SPI]Engineering Sciences [physics]</searchLink>
– Name: Abstract
  Label: Description
  Group: Ab
  Data: International audience ; This paper proposes a novel methodology of the topology optimization method considering eddy current effects. The method is applied on chip inductors modelled by the Finite Element Method (FEM). Aiming to meet a specified inductance value while minimizing eddy current losses, we employ a density-based approach to construct a continuous material distribution. The derivative of the objective function with respect to the material distribution is obtained using the adjoint variable method, then the material layout is iteratively updated via the L-BFGS-B algorithm. The proposed framework is validated on both single-turn and multi-turn inductor structures, achieving designs that satisfy the target performance within a limited number of iterations. A key innovation of this work lies in the integration of field-circuit coupling into the topology optimization framework, enabling the analysis of inductors under complex coil configurations involving both series and parallel connections. Additionally, we present an original derivation of the sensitivity formulation associated with the inductance value ensuring that the optimized inductance meets the design specification.
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  Data: article in journal/newspaper
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– Name: DOI
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  Group: ID
  Data: 10.1109/tmag.2025.3628624
– Name: URL
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  Data: https://hal.science/hal-05401068<br />https://hal.science/hal-05401068v1/document<br />https://hal.science/hal-05401068v1/file/L2EP_IEEE_2025_CLENET.pdf<br />https://doi.org/10.1109/tmag.2025.3628624
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