Development of Mesh-Based Generated Reluctance Network Using Trapezoidal Elements Based on Lumped Parameter Model

Authors

  • Dat Vu Van School of Electrical and Electronic Engineering Hanoi University of Science and Technology, Vietnam
  • Duc Quang Nguyen Department of Electrical Engineering Electric Power University, Viet Nam
  • Tuan Phung Anh School of Electrical and Electronic Engineering Hanoi University of Science and Technology, Vietnam
  • Chi Phi Do Faculty of Electrical-Electronics Cao Thang Technical College, Vietnam
  • Tung Doan Duc Faculty of Engineering and Technology Quy Nhon University, Vietnam
  • Hao Chen School of Electrical Engineering China University of Mining and Technology, China
  • Vuong Dang Quoc School of Electrical and Electronic Engineering Hanoi University of Science and Technology, Vietnam

DOI:

https://doi.org/10.13052/2026.ACES.J.410410

Keywords:

Finite element method, isosceles trapezoidal elements, lumped parameter model, magnetic equivalent circuit, Mesh-based Generated reluctance network

Abstract

This paper develops a novel Mesh-Based Generated Reluctance NetWork (MBGRN) model, which is based on the lumped parameter modeling method. The mesh-based approach automates network generation, replacing the manual flux path definitions required in traditional magnetic equivalent circuit (MEC). In this approach, the computational domain is represented in a polar coordinate system where the mesh elements are defined as isosceles trapezoids. The model utilizes a rotation simulation to bypass the remeshing processes common in the finite element method (FEM). A key advantage of the proposed MBGRN method is that the number of computational elements is reduced by half compared to the conventional FEM. This leads to a significant reduction in computation time, ranging from 10 to 15 times faster than traditional FEM, while maintaining a calculation error of less than 1% relative to the FEM. The development of this method is validated through a practical benchmark problem: the surface-mounted permanent magnet synchronous motor under no-load condition. The results obtained from the MBGRN model are thoroughly compared with those from the 2D FEM.

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Author Biographies

Dat Vu Van, School of Electrical and Electronic Engineering Hanoi University of Science and Technology, Vietnam

Dat Vu Van is currently a student at the School of Electrical and Electronic Engineering, Hanoi University of Science and Technology, Vietnam. His research interests include the modeling of electrical machines, analytical and finite element methods.

Duc Quang Nguyen, Department of Electrical Engineering Electric Power University, Viet Nam

Duc Quang Nguyen received his Engineer diploma degree from the Hanoi University of Science and Technology, Vietnam, in 2007; M.S. from Lille 1 University, France, in 2009, and Ph.D. from the Ecole Nationale Superieure d’Arts et Metiers Paristech, France, in 2013. All were in electrical engineering. He is currently a Lecturer in the Department of Electrical Engineering, at the Electric Power University, Vietnam. His research interests are in the fields of numerical modeling methods, electromagnetic field, electrical machines, and BESS.

Tuan Phung Anh, School of Electrical and Electronic Engineering Hanoi University of Science and Technology, Vietnam

Tuan Phung Anh obtained his Ph.D. degree in Electrical Engineering in 2006 from Grenoble Institute of Technology (Grenoble INP), France. He is currently a Senior Lecturer at the Faculty of Electrical Engineering, School of Electrical and Electronic Engineering, Hanoi University of Science and Technology (HUST), Vietnam. His research interests include electromagnetic design, optimization algorithms, magnetic field stealth, and the application of advanced materials in electrical engineering.

Chi Phi Do, Faculty of Electrical-Electronics Cao Thang Technical College, Vietnam

Chi Phi Do is a Dean in Electrical-Electronic Engineering, Cao Thang Technical College, Ho Chi Minh City, Vietnam. He received his Ph.D. from Hanoi University of Science and Technology in 2016. His research interests include electrical engineering, electrical installation skills, design and install of solar or lighting systems, ability to operate, assemble, maintain electrical equipment, electrical systems, and solve problems related to electricity and equipment in the production.

Tung Doan Duc, Faculty of Engineering and Technology Quy Nhon University, Vietnam

Tung Doan Duc received the B.Eng. degree in Electrical Engineering in 2000, the M.Eng. degree in Electrical Engineering in 2004, and the Ph.D. degree in Electrical Engineering in 2009, all from Hanoi University of Science and Technology, Vietnam. He is currently Rector of Quy Nhon University. He became an Associate Professor in 2019. His research interests include electrical machines, optimization techniques in electrical machines and power systems, and smart grids.

Hao Chen, School of Electrical Engineering China University of Mining and Technology, China

Hao Chen (Senior Member, IEEE) received the B.S. and Ph.D. degrees in electrical engineering from the Department of Automatic Control, Nanjing University of Aeronautics and Astronautics, Nanjing, China, in 1991 and 1996, respectively. In 1998, he became an Associate Professor at the School of Information and Electrical Engineering, China University of Mining and Technology, Xuzhou, where he has been a Professor since 2001. From 2002 to 2003, he was a Visiting Professor at Kyungsung University, Busan, South Korea. Since 2008, he is Adjunct Professor at The University of Western Australia, Perth, WA, Australia. He is the author of one book and has authored more than 300 papers. He holds 15 US patents, 87 Chinese invention patents, and six Chinese utility model patents.

Vuong Dang Quoc, School of Electrical and Electronic Engineering Hanoi University of Science and Technology, Vietnam

Vuong Dang Quoc received his Ph.D. degree in 2013 from the Faculty of Applied Sciences at the University of Liège in Belgium. He joined Hanoi University of Science and Technology in September 2013, where he is currently working as a deputy director, Training Center of Electrical Engineering, School of Electrical Engineering, University of Science and Technology, Hanoi, Vietnam. He became an associate professor in 2020. Dang Quoc Vuong’s research domain encompasses modeling of electromagnetic systems, electrical machines, optimization method, numerical methods, and subproblem methods.

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Published

2026-04-30

How to Cite

[1]
D. V. . Van, “Development of Mesh-Based Generated Reluctance Network Using Trapezoidal Elements Based on Lumped Parameter Model”, ACES Journal, vol. 41, no. 04, pp. 376–388, Apr. 2026.

Issue

2026: Vol 41 Iss 4

Section

General Submission

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