{"title":"磁标量势体积积分法在非线性静磁问题中的应用","authors":"Yongfu Liu, Shiquan He, Juping Li, Lingyu Cao","doi":"10.1109/COMPEM.2018.8496645","DOIUrl":null,"url":null,"abstract":"This paper describes an improved method based on the Magnetic Scalar Potential Volume Integral Method (MSP-VIM) to solve 3-D nonlinear magnetostatic problems. The impedance matrix generated by the Method of Moment (MoM) is separated into constant part and nonlinear part. Moreover, the constant part is further compressed with Multilevel Singular Value Decomposition (MLSVD). Besides, the simplified calculation for symmetrical structure is applied to decrease the unknowns and reduce matrix dimension. Consequently, the iterative solution of nonlinear problems becomes easy and fast. The accuracy and efficiency of the proposed method are demonstrated by numerical examples.","PeriodicalId":221352,"journal":{"name":"2018 IEEE International Conference on Computational Electromagnetics (ICCEM)","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2018-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Application of Magnetic Scalar Potential Volume Integral Method in Nonlinear Magnetostatic Problems\",\"authors\":\"Yongfu Liu, Shiquan He, Juping Li, Lingyu Cao\",\"doi\":\"10.1109/COMPEM.2018.8496645\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"This paper describes an improved method based on the Magnetic Scalar Potential Volume Integral Method (MSP-VIM) to solve 3-D nonlinear magnetostatic problems. The impedance matrix generated by the Method of Moment (MoM) is separated into constant part and nonlinear part. Moreover, the constant part is further compressed with Multilevel Singular Value Decomposition (MLSVD). Besides, the simplified calculation for symmetrical structure is applied to decrease the unknowns and reduce matrix dimension. Consequently, the iterative solution of nonlinear problems becomes easy and fast. The accuracy and efficiency of the proposed method are demonstrated by numerical examples.\",\"PeriodicalId\":221352,\"journal\":{\"name\":\"2018 IEEE International Conference on Computational Electromagnetics (ICCEM)\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2018-03-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2018 IEEE International Conference on Computational Electromagnetics (ICCEM)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/COMPEM.2018.8496645\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2018 IEEE International Conference on Computational Electromagnetics (ICCEM)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/COMPEM.2018.8496645","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Application of Magnetic Scalar Potential Volume Integral Method in Nonlinear Magnetostatic Problems
This paper describes an improved method based on the Magnetic Scalar Potential Volume Integral Method (MSP-VIM) to solve 3-D nonlinear magnetostatic problems. The impedance matrix generated by the Method of Moment (MoM) is separated into constant part and nonlinear part. Moreover, the constant part is further compressed with Multilevel Singular Value Decomposition (MLSVD). Besides, the simplified calculation for symmetrical structure is applied to decrease the unknowns and reduce matrix dimension. Consequently, the iterative solution of nonlinear problems becomes easy and fast. The accuracy and efficiency of the proposed method are demonstrated by numerical examples.
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