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Article

Low-Loss Design of Magnetic Material and Operating Conditions via a Physics–Data Dual-Driven Core Loss Model

1
School of Mathematics and Statistics, Wuhan University of Technology, Wuhan, 430070, China
2
School of Automation, Wuhan University of Technology, Wuhan, 430070, China
*
Author to whom correspondence should be addressed.
Mathematics 2026, 14(3), 502; https://doi.org/10.3390/math14030502
Submission received: 8 January 2026 / Revised: 22 January 2026 / Accepted: 26 January 2026 / Published: 30 January 2026

Abstract

Accurate core loss evaluation is essential in the design of magnetic components. Core loss is critically influenced by excitation waveform, temperature, and magnetic material; therefore, we develop a waveform equivalence coefficient, a temperature polynomial, and an electrical conductivity term to revise the Steinmetz Equation and propose a physics–data dual-driven core loss model across materials and operating conditions. The waveform equivalence coefficient achieved 100% waveform classification, and temperature polynomial modification reduced the mean square error by an order of magnitude. Using three-way analysis of variance (ANOVA), we measured the individual and synergistic impacts of the three key factors on core loss. The waveform exerts the greatest individual influence while waveform and material, as a combination, exerts the greatest synergistic influence. Given the discovery that Material 1 demonstrates a property transition point under triangular waveform, the dual-objective optimization result indicates that using Material 1 under operating conditions of 90 °C, 501,180 Hz frequency, 0.0047 T peak flux density, and a triangular excitation waveform enables the magnetic component to achieve minimum core loss with maximum transmitted magnetic energy.
Keywords: core loss optimization; high-frequency non-sinusoidal excitation; waveform analysis; temperature modification of the Steinmetz Equation; magnetic materials core loss optimization; high-frequency non-sinusoidal excitation; waveform analysis; temperature modification of the Steinmetz Equation; magnetic materials

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MDPI and ACS Style

Lin, L.; Zhang, G.; Li, H.; Liu, Y. Low-Loss Design of Magnetic Material and Operating Conditions via a Physics–Data Dual-Driven Core Loss Model. Mathematics 2026, 14, 502. https://doi.org/10.3390/math14030502

AMA Style

Lin L, Zhang G, Li H, Liu Y. Low-Loss Design of Magnetic Material and Operating Conditions via a Physics–Data Dual-Driven Core Loss Model. Mathematics. 2026; 14(3):502. https://doi.org/10.3390/math14030502

Chicago/Turabian Style

Lin, Lejing, Guiping Zhang, Hongyu Li, and Yuchen Liu. 2026. "Low-Loss Design of Magnetic Material and Operating Conditions via a Physics–Data Dual-Driven Core Loss Model" Mathematics 14, no. 3: 502. https://doi.org/10.3390/math14030502

APA Style

Lin, L., Zhang, G., Li, H., & Liu, Y. (2026). Low-Loss Design of Magnetic Material and Operating Conditions via a Physics–Data Dual-Driven Core Loss Model. Mathematics, 14(3), 502. https://doi.org/10.3390/math14030502

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