Many high-torque electromagnetic problems involve solving three dimensional (3D) magnetic fields of the permanent magnets (PMs) and/or electromagnet magnets (EMs) in the presence of magnetically conducting surfaces. This paper extends the distributed multi-pole (DMP) method, which offers a means to present the three-dimensional magnetic field solution in closed form, to account for the effects of the magnetic conducting boundary using an image method. We validate the DMP/image method by comparing the torques calculated using the Lorentz force equation and Maxwell stress tensor against numerical results computed using a finite element method (FEM). While two methods agree to within 5% in maximum torque, the DMP/image method takes less than 1% of the FEM computation time. With the numerically validated torque computation, we demonstrate how the DMP/image method can be used to analyze designs of a spherical wheel motor as illustrative practical applications.
{"title":"Image Method With Distributed Multipole Models for Analyzing Permanent-Magnet-Based Electromagnetic Actuators","authors":"K. Lee, Hungsun Son, Kun Bai","doi":"10.1115/DSCC2008-2249","DOIUrl":"https://doi.org/10.1115/DSCC2008-2249","url":null,"abstract":"Many high-torque electromagnetic problems involve solving three dimensional (3D) magnetic fields of the permanent magnets (PMs) and/or electromagnet magnets (EMs) in the presence of magnetically conducting surfaces. This paper extends the distributed multi-pole (DMP) method, which offers a means to present the three-dimensional magnetic field solution in closed form, to account for the effects of the magnetic conducting boundary using an image method. We validate the DMP/image method by comparing the torques calculated using the Lorentz force equation and Maxwell stress tensor against numerical results computed using a finite element method (FEM). While two methods agree to within 5% in maximum torque, the DMP/image method takes less than 1% of the FEM computation time. With the numerically validated torque computation, we demonstrate how the DMP/image method can be used to analyze designs of a spherical wheel motor as illustrative practical applications.","PeriodicalId":439466,"journal":{"name":"ASME 2008 Dynamic Systems and Control Conference, Parts A and B","volume":"5 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2008-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115079641","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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