{"title":"用核函数分段逼近计算卡森公式","authors":"I. Krolo, S. Vujević, Tonći Modrić","doi":"10.31534/ENGMOD.2018.1-2.SI.02_BDNY","DOIUrl":null,"url":null,"abstract":"Novel approach for the high-accurate computation of Carson formulas is presented. Carson formulas are used for computation of per-unit length (pul) self and mutual impedances of infinitely long parallel conductors. Numerical algorithm described in this paper uses a piecewise approximation of the kernel function which appears in the Carson formula corrections. Approximated kernel function is multiplied by the rest of the integrands in the impedance correction expressions and analytically integrated. By using the proposed algorithm, highaccurate results with the desired computed n-digit accuracy can easily be obtained. Results computed by the proposed algorithm are compared with the two most commonly used approximation methods for large frequency range.","PeriodicalId":35748,"journal":{"name":"International Journal for Engineering Modelling","volume":" ","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2018-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.31534/ENGMOD.2018.1-2.SI.02_BDNY","citationCount":"0","resultStr":"{\"title\":\"Computation of Carson formulas using piecewise approximation of kernel function\",\"authors\":\"I. Krolo, S. Vujević, Tonći Modrić\",\"doi\":\"10.31534/ENGMOD.2018.1-2.SI.02_BDNY\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Novel approach for the high-accurate computation of Carson formulas is presented. Carson formulas are used for computation of per-unit length (pul) self and mutual impedances of infinitely long parallel conductors. Numerical algorithm described in this paper uses a piecewise approximation of the kernel function which appears in the Carson formula corrections. Approximated kernel function is multiplied by the rest of the integrands in the impedance correction expressions and analytically integrated. By using the proposed algorithm, highaccurate results with the desired computed n-digit accuracy can easily be obtained. Results computed by the proposed algorithm are compared with the two most commonly used approximation methods for large frequency range.\",\"PeriodicalId\":35748,\"journal\":{\"name\":\"International Journal for Engineering Modelling\",\"volume\":\" \",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2018-09-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://sci-hub-pdf.com/10.31534/ENGMOD.2018.1-2.SI.02_BDNY\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"International Journal for Engineering Modelling\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.31534/ENGMOD.2018.1-2.SI.02_BDNY\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"Engineering\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"International Journal for Engineering Modelling","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.31534/ENGMOD.2018.1-2.SI.02_BDNY","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"Engineering","Score":null,"Total":0}
Computation of Carson formulas using piecewise approximation of kernel function
Novel approach for the high-accurate computation of Carson formulas is presented. Carson formulas are used for computation of per-unit length (pul) self and mutual impedances of infinitely long parallel conductors. Numerical algorithm described in this paper uses a piecewise approximation of the kernel function which appears in the Carson formula corrections. Approximated kernel function is multiplied by the rest of the integrands in the impedance correction expressions and analytically integrated. By using the proposed algorithm, highaccurate results with the desired computed n-digit accuracy can easily be obtained. Results computed by the proposed algorithm are compared with the two most commonly used approximation methods for large frequency range.
期刊介绍:
Engineering Modelling is a refereed international journal providing an up-to-date reference for the engineers and researchers engaged in computer aided analysis, design and research in the fields of computational mechanics, numerical methods, software develop-ment and engineering modelling.