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Analytical Modeling and GA-Based Optimization of Multi-Layered Segmented SPM Magnets
by
Choayeb Barchouchi
Choayeb Barchouchi
Choayeb Barchouchi is a multidisciplinary engineer and a Ph.D. student in Mechanical & Aerospace at [...]
Choayeb Barchouchi is a multidisciplinary engineer and a Ph.D. student in Mechanical & Aerospace Engineering at the University of Houston. He completed two years of preparatory studies in mathematics and physics before pursuing his engineering degree at Tunisia Polytechnic School. His doctoral research focuses on the design and modeling of permanent-magnet electric machines, where he explores innovative configurations and practical design improvements. Before starting his Ph.D., he gained valuable professional experience through internships at Agrocare in the Netherlands, the Tunisian Electricity and Gas Company (STEG), and the automotive company Valeo, working on projects involving system simulation, data analysis, and process optimization. He is recognized for his analytical thinking, adaptability, and collaborative approach, combining solid engineering knowledge with creativity and problem-solving skills.
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Matthew Franchek
Matthew Franchek
Dr. Matthew Franchek is a professor of Mechanical Engineering at the University of Houston with in [...]
Dr. Matthew Franchek is a professor of Mechanical Engineering at the University of Houston with joint appointments in Subsea Engineering and Biomedical Engineering. He received his Ph.D. in Mechanical Engineering from Texas A&M University in 1991. He started his career at Purdue University as an assistant professor in Mechanical Engineering. He was promoted to an associate professor with tenure in 1997 and then to full professor in 2001. While at Purdue, he initiated and led two industry-supported interdisciplinary research programs: the Automotive Controls Research Program and the Electro-Hydraulic Research Program. From 2002 to 2009, he served as Chair of Mechanical Engineering at UH while simultaneously initiating the UH Biomedical Engineering undergraduate program. After his terms as the Mechanical Engineering Department Chair and Director of Biomedical Engineering, Dr. Franchek worked with Houston-area companies to create the nation's first subsea engineering program and is the founder of the Global Subsea University Alliance. Dr. Franchek’s research program focuses on low-dimensional modeling and model-based methods that enable real-time adaptive physics-based data analytics. His methods in real-time monitoring and forecasting have been applied to aerospace, automotive, biomedical, and energy systems. He has authored over 100 archival publications and over 130 conference publications. He has served as the advisor to 28 doctoral students and 36 master's students.
and
Yingjie Tang
Yingjie Tang
Dr. Yingjie Tang received his PhD Degree in Mechanical Engineering from Texas A&M He started the [...]
Dr. Yingjie Tang received his PhD Degree in Mechanical Engineering from Texas A&M University in 2012. He started the position of Research Assistant Professor in August 2019, and is now a Research Associate Professor in the Department of Mechanical and Aerospace Engineering at the University of Houston. Dr. Tang has been a licensed Professional Engineer (PE) in Texas, USA, since 2018, and a full member of ASME, SPE, and AAAR. His research topics mainly include multi-physics modeling on fluid mechanics, heat transfer, electromagnetic modeling, thermodynamic power cycle, fluid–structure interaction, corrosion/erosion, system-level analysis-led design and optimization, and numerical modeling through computational fluid dynamics (CFD) and finite element analysis (FEA).
Department of Mechanical and Aerospace Engineering, University of Houston, Houston, TX 77204, USA
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Energies 2025, 18(23), 6303; https://doi.org/10.3390/en18236303 (registering DOI)
Submission received: 4 October 2025
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Revised: 26 November 2025
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Accepted: 26 November 2025
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Published: 30 November 2025
Abstract
Presented here is a 2-D analytical model for predicting the magnetic field distribution in a surface-mounted permanent magnet (SPM) rotor with multi-layered segmented permanent magnets (PMs). Each layer is treated independently, enabling the linear superposition of magnetic fields across all layers. The model employs subdomain modeling combined with the separation of variables, with the magnetic vector potential expressed as a Fourier series to derive the airgap magnetic field. The formulation is generalizable to five regions in each layer: outer airgap, optional outer inactive magnetic layer, active magnetic layer(s), optional inner inactive magnetic layer, and inner airgap. Validation against finite element analysis (FEA) shows a prediction difference of around 0.5% in airgap flux density. The model’s design utility is demonstrated through a genetic algorithm (GA) optimization, which maximizes static flux linkage and confirms performance improvements from the multi-layered configuration.
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MDPI and ACS Style
Barchouchi, C.; Franchek, M.; Tang, Y.
Analytical Modeling and GA-Based Optimization of Multi-Layered Segmented SPM Magnets. Energies 2025, 18, 6303.
https://doi.org/10.3390/en18236303
AMA Style
Barchouchi C, Franchek M, Tang Y.
Analytical Modeling and GA-Based Optimization of Multi-Layered Segmented SPM Magnets. Energies. 2025; 18(23):6303.
https://doi.org/10.3390/en18236303
Chicago/Turabian Style
Barchouchi, Choayeb, Matthew Franchek, and Yingjie Tang.
2025. "Analytical Modeling and GA-Based Optimization of Multi-Layered Segmented SPM Magnets" Energies 18, no. 23: 6303.
https://doi.org/10.3390/en18236303
APA Style
Barchouchi, C., Franchek, M., & Tang, Y.
(2025). Analytical Modeling and GA-Based Optimization of Multi-Layered Segmented SPM Magnets. Energies, 18(23), 6303.
https://doi.org/10.3390/en18236303
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