An interesting field of graph theory with a wide range of applications is the domination theory. One of the domination variants with a broad range of applications in electrical circuits is the power domination. The study of power domination in graphs greatly benefits from the placement of phase measurement units (PMUs) within the current circuit to examine the current flow. The primary goal of the study is to create a graphical model that determines the minimum number of PMUs needed to monitor the current flow in the designated areas. A theoretical model of graphs is developed, treating certain regions as graphical structures that correlate with  the power domination number, and the required number of PMUs.

phase measurement units, power domination, graphs, domination, monitoring set.

Received: December 10, 2023; Accepted: February 2, 2024; Published: February 26, 2024

How to cite this article: A. Uma Maheswari and J. Bala Samuvel, Power domination model and its applications to electrical power networks, Advances and Applications in Discrete Mathematics 41(2) (2024), 179-201. http://dx.doi.org/10.17654/0974165824013

This Open Access Article is Licensed under Creative Commons Attribution 4.0 International License

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