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Abstract <p> The renowned Indian mathematician Srinivasa Ramanujan introduced a significant summation in 1918, known as the Unitary Ramanujan Sum <InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="11232_2025_2645_Article_IEq1.gif" Format="GIF" Height="19" Rendition="HTML" Resolution="72" Type="Linedraw" Width="49" /> </InlineMediaObject> <EquationSource Format="TEX">\(C^*_N(L)\)</EquationSource> </InlineEquation>. 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 <InlineEquation ID="IEq2"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="11232_2025_2645_Article_IEq2.gif" Format="GIF" Height="14" Rendition="HTML" Resolution="72" Type="Linedraw" Width="10" /> </InlineMediaObject> <EquationSource Format="TEX">\(9\)</EquationSource> </InlineEquation>-bus system and the results are presented for the validation of the Unitary Ramanujan Sum application. </p>

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Unitary Ramanujan sum for power system applications

  • 期刊论文

  • 发表日期：

    2025年6月25日

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

摘要

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.