非线性元件电子电路的数值计算

X. Sapaev, E. Abduraimov, Sh B Umarov
{"title":"非线性元件电子电路的数值计算","authors":"X. Sapaev, E. Abduraimov, Sh B Umarov","doi":"10.51346/TSTU-01.20.4-77-0095","DOIUrl":null,"url":null,"abstract":"Non-linear elements are widely used in various automation devices, converting and measuring equipment. They are often presented in the form of diode-resistive circuits. In single-circuit electrical circuits, their calculation by a numerical method reduces to compiling nonlinear equations and solving it using the Newton-Raphson method with specifying reasonable initial conditions for the calculation. The article is aimed at determining the dimensions of the Jacobi matrix in numerical calculations of nonlinear chains. Using the example of numerical calculation of two simplest schemes with nonlinear elements, it is shown that by eliminating the coordinate chain (system equations) from the system of equations that do not contain nonlinear elements, the Jacobi matrix is reduced in size","PeriodicalId":22199,"journal":{"name":"Technical science and innovation","volume":"24 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2020-12-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"NUMERICAL CALCULATION OF ELECTRONIC CIRCUITS WITH NONLINEAR ELEMENTS\",\"authors\":\"X. Sapaev, E. Abduraimov, Sh B Umarov\",\"doi\":\"10.51346/TSTU-01.20.4-77-0095\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Non-linear elements are widely used in various automation devices, converting and measuring equipment. They are often presented in the form of diode-resistive circuits. In single-circuit electrical circuits, their calculation by a numerical method reduces to compiling nonlinear equations and solving it using the Newton-Raphson method with specifying reasonable initial conditions for the calculation. The article is aimed at determining the dimensions of the Jacobi matrix in numerical calculations of nonlinear chains. Using the example of numerical calculation of two simplest schemes with nonlinear elements, it is shown that by eliminating the coordinate chain (system equations) from the system of equations that do not contain nonlinear elements, the Jacobi matrix is reduced in size\",\"PeriodicalId\":22199,\"journal\":{\"name\":\"Technical science and innovation\",\"volume\":\"24 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2020-12-28\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Technical science and innovation\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.51346/TSTU-01.20.4-77-0095\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Technical science and innovation","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.51346/TSTU-01.20.4-77-0095","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 1

摘要

非线性元件广泛应用于各种自动化装置、转换和测量设备中。它们通常以二极管电阻电路的形式出现。在单回路电路中,它们的数值计算简化为编制非线性方程,用牛顿-拉夫逊方法求解,并指定合理的计算初始条件。本文旨在确定非线性链数值计算中雅可比矩阵的维数。通过两种最简单的非线性单元格式的数值计算实例表明,通过从不包含非线性单元的方程组中消除坐标链(系统方程),可以减小雅可比矩阵的尺寸
本文章由计算机程序翻译,如有差异,请以英文原文为准。
NUMERICAL CALCULATION OF ELECTRONIC CIRCUITS WITH NONLINEAR ELEMENTS
Non-linear elements are widely used in various automation devices, converting and measuring equipment. They are often presented in the form of diode-resistive circuits. In single-circuit electrical circuits, their calculation by a numerical method reduces to compiling nonlinear equations and solving it using the Newton-Raphson method with specifying reasonable initial conditions for the calculation. The article is aimed at determining the dimensions of the Jacobi matrix in numerical calculations of nonlinear chains. Using the example of numerical calculation of two simplest schemes with nonlinear elements, it is shown that by eliminating the coordinate chain (system equations) from the system of equations that do not contain nonlinear elements, the Jacobi matrix is reduced in size
求助全文
通过发布文献求助,成功后即可免费获取论文全文。 去求助
来源期刊
自引率
0.00%
发文量
0
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
提示
您的信息不完整,为了账户安全,请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
确定
请完成安全验证×
copy
已复制链接
快去分享给好友吧!
我知道了
右上角分享
点击右上角分享
0
联系我们:info@booksci.cn Book学术提供免费学术资源搜索服务,方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。 Copyright © 2023 布克学术 All rights reserved.
京ICP备2023020795号-1
ghs 京公网安备 11010802042870号
Book学术文献互助
Book学术文献互助群
群 号:481959085
Book学术官方微信