Two-Dimensional Analytical Models for Cogging Torque Prediction in Interior Permanent Magnet Machine
Analytical prediction of cogging torque needs accurate flux density and relative permeance closed-form expressions. The accurate two-dimensional (2D) air gap flux density distribution function and the 2D permeance function are currently almost always applied to surface-mounted permanent magnet (SPM)...
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| Format: | Article |
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MDPI AG
2023-02-01
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| Series: | Machines |
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| Online Access: | https://www.mdpi.com/2075-1702/11/2/233 |
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| author | Linwei Wang Shuai Lu Yangming Chen |
| author_facet | Linwei Wang Shuai Lu Yangming Chen |
| author_sort | Linwei Wang |
| collection | DOAJ |
| description | Analytical prediction of cogging torque needs accurate flux density and relative permeance closed-form expressions. The accurate two-dimensional (2D) air gap flux density distribution function and the 2D permeance function are currently almost always applied to surface-mounted permanent magnet (SPM) machines, instead of interior permanent magnet (IPM) machines, due to complications from IPMs severe magnetic saturation and leakage flux. To address these issues, this paper proposes a set of new methods to derive the accurate closed-form 2D expressions of IPMs for both flux density and relative permeance. As for the flux density 2D model, a virtual equivalence model for IPM is introduced, so that Laplace’s equation and quasi-Poisson equation can be directly applied to IPM. As for permeance, the same virtual equivalence model also enables 2D models derivation for IPM. Subsequently, the resulting cogging torque analytical expression is obtained with the accurate relative permeance and air gap flux density models. The results from the proposed 2D analytical models showed similar accuracy to the finite element analysis (FEA). In addition, as demonstrated, the proposed 2D analytical models is a highly efficient tool set in the design process of cogging torque optimization, facilitating fast evaluation of different design factors. |
| first_indexed | 2024-03-11T08:31:13Z |
| format | Article |
| id | doaj.art-2513f134befc49d4956a6f9e7d9c3413 |
| institution | Directory Open Access Journal |
| issn | 2075-1702 |
| language | English |
| last_indexed | 2024-03-11T08:31:13Z |
| publishDate | 2023-02-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Machines |
| spelling | doaj.art-2513f134befc49d4956a6f9e7d9c34132023-11-16T21:45:44ZengMDPI AGMachines2075-17022023-02-0111223310.3390/machines11020233Two-Dimensional Analytical Models for Cogging Torque Prediction in Interior Permanent Magnet MachineLinwei Wang0Shuai Lu1Yangming Chen2School of Electrical Engineering, Chongqing University, Chongqing 400044, ChinaSchool of Electrical Engineering, Chongqing University, Chongqing 400044, ChinaSchool of Electrical Engineering, Chongqing University, Chongqing 400044, ChinaAnalytical prediction of cogging torque needs accurate flux density and relative permeance closed-form expressions. The accurate two-dimensional (2D) air gap flux density distribution function and the 2D permeance function are currently almost always applied to surface-mounted permanent magnet (SPM) machines, instead of interior permanent magnet (IPM) machines, due to complications from IPMs severe magnetic saturation and leakage flux. To address these issues, this paper proposes a set of new methods to derive the accurate closed-form 2D expressions of IPMs for both flux density and relative permeance. As for the flux density 2D model, a virtual equivalence model for IPM is introduced, so that Laplace’s equation and quasi-Poisson equation can be directly applied to IPM. As for permeance, the same virtual equivalence model also enables 2D models derivation for IPM. Subsequently, the resulting cogging torque analytical expression is obtained with the accurate relative permeance and air gap flux density models. The results from the proposed 2D analytical models showed similar accuracy to the finite element analysis (FEA). In addition, as demonstrated, the proposed 2D analytical models is a highly efficient tool set in the design process of cogging torque optimization, facilitating fast evaluation of different design factors.https://www.mdpi.com/2075-1702/11/2/233cogging torquetwo-dimensional permeance functionvirtual equivalence modelinterior permanent magnet machine |
| spellingShingle | Linwei Wang Shuai Lu Yangming Chen Two-Dimensional Analytical Models for Cogging Torque Prediction in Interior Permanent Magnet Machine Machines cogging torque two-dimensional permeance function virtual equivalence model interior permanent magnet machine |
| title | Two-Dimensional Analytical Models for Cogging Torque Prediction in Interior Permanent Magnet Machine |
| title_full | Two-Dimensional Analytical Models for Cogging Torque Prediction in Interior Permanent Magnet Machine |
| title_fullStr | Two-Dimensional Analytical Models for Cogging Torque Prediction in Interior Permanent Magnet Machine |
| title_full_unstemmed | Two-Dimensional Analytical Models for Cogging Torque Prediction in Interior Permanent Magnet Machine |
| title_short | Two-Dimensional Analytical Models for Cogging Torque Prediction in Interior Permanent Magnet Machine |
| title_sort | two dimensional analytical models for cogging torque prediction in interior permanent magnet machine |
| topic | cogging torque two-dimensional permeance function virtual equivalence model interior permanent magnet machine |
| url | https://www.mdpi.com/2075-1702/11/2/233 |
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