Thermo-electric multiphysics topology optimization using finite volume method

Size and weight are two critical factors in the design of automotive inverters. Bus bars form essential components of the inverter assembly and significantly contribute to the overall weight of the assembly. Hence, optimization of the shape of the bus bar is crucial for an optimal unit. The optimal...

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Main Authors: Hitesh Kumar SINHA, Krishna Mohan SINGH
Format: Article
Language:English
Published: The Japan Society of Mechanical Engineers 2025-07-01
Series:Mechanical Engineering Journal
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Online Access:https://www.jstage.jst.go.jp/article/mej/12/4/12_25-00075/_pdf/-char/en
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author Hitesh Kumar SINHA
Krishna Mohan SINGH
author_facet Hitesh Kumar SINHA
Krishna Mohan SINGH
author_sort Hitesh Kumar SINHA
collection DOAJ
description Size and weight are two critical factors in the design of automotive inverters. Bus bars form essential components of the inverter assembly and significantly contribute to the overall weight of the assembly. Hence, optimization of the shape of the bus bar is crucial for an optimal unit. The optimal shape should require minimum material without compromising the functional requirements of low-temperature rise in the bus bar assembly. In the present work, we have developed a multiphysics simulation-based topology optimization (TO) algorithm that addresses the thermal trade-offs in the design process. We have used a density-based topology optimization method for optimal material distribution for the DC bus bar. The cell-centered finite volume method (FVM) has been used to discretize the strongly coupled governing equations. The sensitivity is derived for the finite volume global matrix, and the adjoint sensitivity method is used to determine the Lagrange multipliers. The method of moving asymptotes (MMA) is used for the optimization. These algorithms have been implemented in a C++ program. Numerical results are presented for a few sample test cases, which demonstrate the effectiveness of the finite volume-based topology optimization software for bus bar design.
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spelling doaj-art-31bc98ef9e05453e8bdc83ad025756ab2025-08-20T01:59:35ZengThe Japan Society of Mechanical EngineersMechanical Engineering Journal2187-97452025-07-0112425-0007525-0007510.1299/mej.25-00075mejThermo-electric multiphysics topology optimization using finite volume methodHitesh Kumar SINHA0Krishna Mohan SINGH1Department of Mechanical and Industrial Engineering Indian Institute of Technology RoorkeeDepartment of Mechanical and Industrial Engineering Indian Institute of Technology RoorkeeSize and weight are two critical factors in the design of automotive inverters. Bus bars form essential components of the inverter assembly and significantly contribute to the overall weight of the assembly. Hence, optimization of the shape of the bus bar is crucial for an optimal unit. The optimal shape should require minimum material without compromising the functional requirements of low-temperature rise in the bus bar assembly. In the present work, we have developed a multiphysics simulation-based topology optimization (TO) algorithm that addresses the thermal trade-offs in the design process. We have used a density-based topology optimization method for optimal material distribution for the DC bus bar. The cell-centered finite volume method (FVM) has been used to discretize the strongly coupled governing equations. The sensitivity is derived for the finite volume global matrix, and the adjoint sensitivity method is used to determine the Lagrange multipliers. The method of moving asymptotes (MMA) is used for the optimization. These algorithms have been implemented in a C++ program. Numerical results are presented for a few sample test cases, which demonstrate the effectiveness of the finite volume-based topology optimization software for bus bar design.https://www.jstage.jst.go.jp/article/mej/12/4/12_25-00075/_pdf/-char/entopology optimizationthermo-electricmultiphysicsfinite volume methodmethod of moving asymptotes
spellingShingle Hitesh Kumar SINHA
Krishna Mohan SINGH
Thermo-electric multiphysics topology optimization using finite volume method
Mechanical Engineering Journal
topology optimization
thermo-electric
multiphysics
finite volume method
method of moving asymptotes
title Thermo-electric multiphysics topology optimization using finite volume method
title_full Thermo-electric multiphysics topology optimization using finite volume method
title_fullStr Thermo-electric multiphysics topology optimization using finite volume method
title_full_unstemmed Thermo-electric multiphysics topology optimization using finite volume method
title_short Thermo-electric multiphysics topology optimization using finite volume method
title_sort thermo electric multiphysics topology optimization using finite volume method
topic topology optimization
thermo-electric
multiphysics
finite volume method
method of moving asymptotes
url https://www.jstage.jst.go.jp/article/mej/12/4/12_25-00075/_pdf/-char/en
work_keys_str_mv AT hiteshkumarsinha thermoelectricmultiphysicstopologyoptimizationusingfinitevolumemethod
AT krishnamohansingh thermoelectricmultiphysicstopologyoptimizationusingfinitevolumemethod