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Vedic Mathematics-based Acceleration of Y-Bus Matrix Formation for Power System Load Flow Analysis

by Sharannya Kumar
International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 187 - Number 30
Year of Publication: 2025
Authors: Sharannya Kumar
10.5120/ijca2025925514

Sharannya Kumar . Vedic Mathematics-based Acceleration of Y-Bus Matrix Formation for Power System Load Flow Analysis. International Journal of Computer Applications. 187, 30 ( Aug 2025), 1-3. DOI=10.5120/ijca2025925514

@article{ 10.5120/ijca2025925514,
author = { Sharannya Kumar },
title = { Vedic Mathematics-based Acceleration of Y-Bus Matrix Formation for Power System Load Flow Analysis },
journal = { International Journal of Computer Applications },
issue_date = { Aug 2025 },
volume = { 187 },
number = { 30 },
month = { Aug },
year = { 2025 },
issn = { 0975-8887 },
pages = { 1-3 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume187/number30/vedic-mathematics-based-acceleration-of-y-bus-matrix-formation-for-power-system-load-flow-analysis/ },
doi = { 10.5120/ijca2025925514 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2025-08-20T21:35:15.240578+05:30
%A Sharannya Kumar
%T Vedic Mathematics-based Acceleration of Y-Bus Matrix Formation for Power System Load Flow Analysis
%J International Journal of Computer Applications
%@ 0975-8887
%V 187
%N 30
%P 1-3
%D 2025
%I Foundation of Computer Science (FCS), NY, USA
Abstract

This paper explores the integration of Vedic Mathematics (VM) techniques into the computation of Y-bus matrices for load flow analysis in power systems. Load flow studies are vital for efficient power system planning, operation, and reliability. This work compares conventional and Vedic approaches for Y-bus matrix formation using MATLAB simulations. Two key Vedic Sutras, Ekadhikena Purvena and Anurupee, were employed to enhance computational efficiency. Simulation results on small-scale test systems show consistent improvements in computation time using the Vedic approach. Although marginal in smaller systems, the time reduction is expected to scale significantly for larger networks. The study reinforces the feasibility of embedding ancient computational principles into modern engineering frameworks.

References
  1. Majumdar, R.C. & Pusalker, A.D., The Vedic Age, 1951.
  2. Dasgupta, S., A History of Indian Philosophy, 1922.
  3. Tinney, W.F. & Hart, C.E., Power Flow Solution by Newton's Method, IEEE, 1967.
  4. Stott, B., Review of Load-Flow Calculation Methods, IEEE, 1974.
  5. Glover & Sarma, Power System Analysis, 6th ed., Cengage.
  6. Kersting, W.H., Distribution System Modeling, CRC Press.
  7. Srinivas, N. et al., IEEE GUCON 2021.
  8. Srinivas, N. & Modi, S., IEEE ICEARS 2022.
  9. Srinivas, N. & Modi, S., Microgrid Fault Detection, IEEE, 2021.
Index Terms

Computer Science
Information Sciences

Keywords

Vedic Mathematics Load Flow Analysis Y-bus Matrix Computational Efficiency Power Systems