{"title":"异极电机的非线性理论","authors":"S. Ahamed, E. Erdelyi, R. E. Hopkins","doi":"10.1109/TA.1965.4319778","DOIUrl":null,"url":null,"abstract":"The partial differential equation for the vector-potential of heteropolar machines is established taking into account the non-linearities of the materials and the current distributions. The non-linear equation, similar to Poisson's equation, is transformed into a partial difference equation. The magnetic induction is found at discrete points in the cross section of the machine. A new relaxation procedure, accelerated greatly by the use of a new physical method of adjusting the vector potential between two successive iterations, is used. The method is shown for an aerospace synchronous generator. Calculated and test results of the no-load characteristic agree quite well. Pole tip saturation is fully considered.","PeriodicalId":13050,"journal":{"name":"IEEE Transactions on Aerospace","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"1965-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":"{\"title\":\"Non-Linear Theory of Heteropolar Electrical Machines\",\"authors\":\"S. Ahamed, E. Erdelyi, R. E. Hopkins\",\"doi\":\"10.1109/TA.1965.4319778\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The partial differential equation for the vector-potential of heteropolar machines is established taking into account the non-linearities of the materials and the current distributions. The non-linear equation, similar to Poisson's equation, is transformed into a partial difference equation. The magnetic induction is found at discrete points in the cross section of the machine. A new relaxation procedure, accelerated greatly by the use of a new physical method of adjusting the vector potential between two successive iterations, is used. The method is shown for an aerospace synchronous generator. Calculated and test results of the no-load characteristic agree quite well. Pole tip saturation is fully considered.\",\"PeriodicalId\":13050,\"journal\":{\"name\":\"IEEE Transactions on Aerospace\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1965-06-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"2\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"IEEE Transactions on Aerospace\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/TA.1965.4319778\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"IEEE Transactions on Aerospace","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/TA.1965.4319778","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Non-Linear Theory of Heteropolar Electrical Machines
The partial differential equation for the vector-potential of heteropolar machines is established taking into account the non-linearities of the materials and the current distributions. The non-linear equation, similar to Poisson's equation, is transformed into a partial difference equation. The magnetic induction is found at discrete points in the cross section of the machine. A new relaxation procedure, accelerated greatly by the use of a new physical method of adjusting the vector potential between two successive iterations, is used. The method is shown for an aerospace synchronous generator. Calculated and test results of the no-load characteristic agree quite well. Pole tip saturation is fully considered.
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