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GAO Rui, GE Qiongxuan, ZHAO Lu, ZHU Jinquan, ZHANG Bo. Mathematical Model of Parameters for Normal Conducting Magnetic Levitation Motors Considering Magnetic Saturation[J]. Journal of Southwest Jiaotong University. doi: 10.3969/j.issn.0258-2724.20250614
Citation: GAO Rui, GE Qiongxuan, ZHAO Lu, ZHU Jinquan, ZHANG Bo. Mathematical Model of Parameters for Normal Conducting Magnetic Levitation Motors Considering Magnetic Saturation[J]. Journal of Southwest Jiaotong University. doi: 10.3969/j.issn.0258-2724.20250614

Mathematical Model of Parameters for Normal Conducting Magnetic Levitation Motors Considering Magnetic Saturation

doi: 10.3969/j.issn.0258-2724.20250614
  • Received Date: 02 Dec 2025
  • Rev Recd Date: 24 Apr 2026
  • Available Online: 06 Jun 2026
  • The increase in speed of normal conducting magnetic levitation trains leads to an increased fluctuation range of the levitation air gap, making the motor’s magnetic field more likely to enter the saturation region, which aggravates the nonlinearity of the iron core’s magnetic reluctance and weakens the accuracy of the conventional magnetic circuit method parameter model. Therefore, an analytical parameter modeling method for normal conducting high-speed magnetic levitation motors considering the influence of magnetic saturation was proposed to improve the calculation accuracy of the parameter model for long-stator linear synchronous motors. First, an equivalent air gap model considering the variation in the iron core’s magnetic reluctance was constructed based on the magnetic circuit method. Second, combined with finite element magnetic field data, a dynamic characterization method for the magnetization effect based on differential permeability was adopted to obtain the relative permeability of the iron core material, realizing the quantitative description of the magnetic saturation degree. Finally, the dynamic differential permeability was combined with the equivalent air gap model to establish a motor parameter model capable of reflecting multiple factors such as iron core saturation, slotting effect, and air gap variation, and its accuracy was verified. The research results indicate that under the magnetic saturation state, the parameter model by the conventional magnetic circuit method exhibits significant distortion, with the relative errors of various inductance parameters generally exceeding 45%. After introducing the equivalent air gap and the magnetization characterization method based on differential permeability, the response capability of the model to the iron core’s magnetic reluctance and different saturation degrees is enhanced, and the parameter prediction accuracy is improved. By taking a suspension height of 5 mm as an example, the prediction accuracies of the stator self-inductance, the mutual inductance between stator and excitation, and the excitation self-inductance are improved by 39.43%, 30.14%, and 40.11%, respectively.

     

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