{"title":"用样条函数选择B=B(H)近似中的段","authors":"C. Akyel, S. Babic","doi":"10.1109/ANTEM.2000.7851641","DOIUrl":null,"url":null,"abstract":"In this paper we show how the choice of selected points for building the basic curve of the first magnetization can influence the accuracy. The presented approach enables one to simply build curves B = B (H) and μ = μ(H) using the cubic spline functions C(2). All procedures are practically given analytically, so that by having good information on the magnetic field at the beginning and at the end of a treated curve given by the couple (H,B), we obtain the curve twice differentiable. It is important to mention that we do not need to have many date points to construct all presented curves. Having the approximation of the curve B = B (H) and using the software package ‘CURVES’, it is possible to get much more information about the maximal value of the relative magnetic permeability, the differential permeability and the approximation of the curve μ = μ(H). This powerful software can be used separately for each calculation or, as the complete program.","PeriodicalId":416991,"journal":{"name":"Symposium on Antenna Technology and Applied Electromagnetics [ANTEM 2000]","volume":"54 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2000-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Choice of segments in the B=B(H) approximation using spline functions\",\"authors\":\"C. Akyel, S. Babic\",\"doi\":\"10.1109/ANTEM.2000.7851641\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper we show how the choice of selected points for building the basic curve of the first magnetization can influence the accuracy. The presented approach enables one to simply build curves B = B (H) and μ = μ(H) using the cubic spline functions C(2). All procedures are practically given analytically, so that by having good information on the magnetic field at the beginning and at the end of a treated curve given by the couple (H,B), we obtain the curve twice differentiable. It is important to mention that we do not need to have many date points to construct all presented curves. Having the approximation of the curve B = B (H) and using the software package ‘CURVES’, it is possible to get much more information about the maximal value of the relative magnetic permeability, the differential permeability and the approximation of the curve μ = μ(H). This powerful software can be used separately for each calculation or, as the complete program.\",\"PeriodicalId\":416991,\"journal\":{\"name\":\"Symposium on Antenna Technology and Applied Electromagnetics [ANTEM 2000]\",\"volume\":\"54 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2000-07-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Symposium on Antenna Technology and Applied Electromagnetics [ANTEM 2000]\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ANTEM.2000.7851641\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Symposium on Antenna Technology and Applied Electromagnetics [ANTEM 2000]","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ANTEM.2000.7851641","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
摘要
在本文中,我们展示了建立第一次磁化基本曲线的选择点如何影响精度。所提出的方法可以使用三次样条函数C(2)简单地构建曲线B = B (H)和μ = μ(H)。所有过程实际上都是解析给出的,因此,通过对(H,B)所给出的处理曲线的开始和结束处的磁场有良好的信息,我们得到了二次可微的曲线。重要的是,我们不需要有许多日期点来构建所有呈现的曲线。有了曲线B = B (H)的近似值,利用“CURVES”软件包,可以得到关于相对磁导率最大值、微分磁导率和曲线μ = μ(H)近似值的更多信息。这个功能强大的软件可以单独用于每个计算或作为完整的程序。
Choice of segments in the B=B(H) approximation using spline functions
In this paper we show how the choice of selected points for building the basic curve of the first magnetization can influence the accuracy. The presented approach enables one to simply build curves B = B (H) and μ = μ(H) using the cubic spline functions C(2). All procedures are practically given analytically, so that by having good information on the magnetic field at the beginning and at the end of a treated curve given by the couple (H,B), we obtain the curve twice differentiable. It is important to mention that we do not need to have many date points to construct all presented curves. Having the approximation of the curve B = B (H) and using the software package ‘CURVES’, it is possible to get much more information about the maximal value of the relative magnetic permeability, the differential permeability and the approximation of the curve μ = μ(H). This powerful software can be used separately for each calculation or, as the complete program.