电力系统应用的一元拉马努金和

IF 1.1 4区物理与天体物理 Q3 PHYSICS, MATHEMATICAL

Theoretical and Mathematical Physics Pub Date : 2025-06-25 DOI:10.1134/S0040577925060108

E. Kiran Babu, Y. Rajasekhara Gowd, G. Satheesh

{"title":"电力系统应用的一元拉马努金和","authors":"E. Kiran Babu, Y. Rajasekhara Gowd, G. Satheesh","doi":"10.1134/S0040577925060108","DOIUrl":null,"url":null,"abstract":" The renowned Indian mathematician Srinivasa Ramanujan introduced a significant summation in 1918, known as the Unitary Ramanujan Sum \\(C^*_N(L)\\). In recent years, this sum has garnered considerable attention in the fields of signal and image processing. In this paper, we focus on the application of the Unitary Ramanujan Sum to power systems. A line-to-ground fault is simulated in the MATLAB platform with an IEEE \\(9\\)-bus system and the results are presented for the validation of the Unitary Ramanujan Sum application. ","PeriodicalId":797,"journal":{"name":"Theoretical and Mathematical Physics","volume":"223 3","pages":"967 - 973"},"PeriodicalIF":1.1000,"publicationDate":"2025-06-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Unitary Ramanujan sum for power system applications\",\"authors\":\"E. Kiran Babu, Y. Rajasekhara Gowd, G. Satheesh\",\"doi\":\"10.1134/S0040577925060108\",\"DOIUrl\":null,\"url\":null,\"abstract\":\" The renowned Indian mathematician Srinivasa Ramanujan introduced a significant summation in 1918, known as the Unitary Ramanujan Sum \\\\(C^*_N(L)\\\\). In recent years, this sum has garnered considerable attention in the fields of signal and image processing. In this paper, we focus on the application of the Unitary Ramanujan Sum to power systems. A line-to-ground fault is simulated in the MATLAB platform with an IEEE \\\\(9\\\\)-bus system and the results are presented for the validation of the Unitary Ramanujan Sum application. \",\"PeriodicalId\":797,\"journal\":{\"name\":\"Theoretical and Mathematical Physics\",\"volume\":\"223 3\",\"pages\":\"967 - 973\"},\"PeriodicalIF\":1.1000,\"publicationDate\":\"2025-06-25\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Theoretical and Mathematical Physics\",\"FirstCategoryId\":\"101\",\"ListUrlMain\":\"https://link.springer.com/article/10.1134/S0040577925060108\",\"RegionNum\":4,\"RegionCategory\":\"物理与天体物理\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"PHYSICS, MATHEMATICAL\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Theoretical and Mathematical Physics","FirstCategoryId":"101","ListUrlMain":"https://link.springer.com/article/10.1134/S0040577925060108","RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"PHYSICS, MATHEMATICAL","Score":null,"Total":0}

引用次数: 0

摘要

著名的印度数学家Srinivasa Ramanujan在1918年引入了一个重要的求和，被称为单一的Ramanujan Sum \(C^*_N(L)\)。近年来，该总和在信号和图像处理领域引起了相当大的关注。本文主要研究了拉马努金和在电力系统中的应用。在MATLAB平台上，利用IEEE \(9\)总线系统对一个线路对地故障进行了仿真，并给出了结果，验证了统一拉马努金和的应用。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

Unitary Ramanujan sum for power system applications

The renowned Indian mathematician Srinivasa Ramanujan introduced a significant summation in 1918, known as the Unitary Ramanujan Sum \(C^*_N(L)\). In recent years, this sum has garnered considerable attention in the fields of signal and image processing. In this paper, we focus on the application of the Unitary Ramanujan Sum to power systems. A line-to-ground fault is simulated in the MATLAB platform with an IEEE \(9\)-bus system and the results are presented for the validation of the Unitary Ramanujan Sum application.

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

Theoretical and Mathematical Physics 物理-物理：数学物理

CiteScore

1.60

自引率

20.00%

发文量

103

审稿时长

4-8 weeks

期刊介绍： Theoretical and Mathematical Physics covers quantum field theory and theory of elementary particles, fundamental problems of nuclear physics, many-body problems and statistical physics, nonrelativistic quantum mechanics, and basic problems of gravitation theory. Articles report on current developments in theoretical physics as well as related mathematical problems. Theoretical and Mathematical Physics is published in collaboration with the Steklov Mathematical Institute of the Russian Academy of Sciences.