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Title: An efficient and high-precision electromagnetic–thermal bidirectional coupling reduced-order solution model for permanent magnet synchronous motors
Authors: Yu, Y
Zhao, P
Goh, H
Carbone, G
Niu, S 
Ding, J
Shu, S
Zhao, Z
Issue Date: Aug-2023
Source: Actuators, Aug. 2023, v. 12, no. 8, 336
Abstract: The traditional electromagnetic–thermal bidirectional coupling model (EMTBCM) of permanent magnet synchronous motors (PMSMs) requires a long time to solve, and the temperature-induced torque change is not accounted for in the finite element (FE) numerical calculation of the EM field. This paper presents a precise and efficient EMTBC reduced-order solution model. The specific methods are as follows: First, a torque control technology based on the current injection method is proposed for determining the effect of temperature on the properties of EM materials and EM torque in an EM field, and the accuracy of the FE numerical calculation model is improved. Second, we use the improved EM field finite element numerical calculation model (FEMNCM) to analyze the correlation between the EM loss, the temperature, and the load, and we replace the FEMNCM with the EM field reduction model using the least-squares method. Then, we analyze the law of the PMSM’s internal temperature distribution. We choose the GA-BP algorithm with as few samples as possible and a high accuracy and stability to build the regression prediction model of the temperature field. We use this regression prediction model to replace the complex temperature field calculation. After analyzing the EMTBCM solution strategy, the original complex EMTBC numerical calculation model is substituted with iterations of the magnetic field reduction model and the temperature field regression prediction model. The FE numerical calculation is then used to validate the reduced-order model. The proposed model is validated through numerical simulations. The numerical results indicate that the proposed reduced-order EMTBC model in this paper is accurate and computationally efficient.
Keywords: Electromagnetic–thermal bidirectional coupling
GA-BP algorithm
Least-squares method
PMSM
Reduced-order EMTBC model
Solution strategy
Publisher: MDPI AG
Journal: Actuators 
EISSN: 2076-0825
DOI: 10.3390/act12080336
Rights: © 2023 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https://creativecommons.org/licenses/by/4.0/).
The following publication Yu Y, Zhao P, Goh H, Carbone G, Niu S, Ding J, Shu S, Zhao Z. An Efficient and High-Precision Electromagnetic–Thermal Bidirectional Coupling Reduced-Order Solution Model for Permanent Magnet Synchronous Motors. Actuators. 2023; 12(8):336 is available at https://doi.org/10.3390/act12080336.
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