Unitary Ramanujan sum for power system applications

E. Kiran Babu^a, Y. Rajasekhara Gowd^a, G. Satheesh<sup>b

a</sup> Department of Humanities and Basic Sciences, G. Pulla Reddy Engineering College, Kurnool, Andhra Pradesh, India
^b Department of Electrical and Electronics Engineering, G. Pulla Reddy Engineering College, Kurnool, Andhra Pradesh, India

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.

Keywords: unitary Ramanujan sum, line-to-ground fault, power system application, IEEE 9-bus system.

Received: 27.01.2025
Revised: 27.01.2025

DOI: 10.4213/tmf10905

 English version: Theoretical and Mathematical Physics, 2025, 223:3, 967–973

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