Calculating Nodal Voltages Using the Admittance Matrix Spectrum of an Electrical Network

Ioannis Dassios, Andrew Keane and Paul Cuffe
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Ioannis Dassios: School of Electrical and Electronic Engineering, University College Dublin, Dublin 4, Ireland
Andrew Keane: School of Electrical and Electronic Engineering, University College Dublin, Dublin 4, Ireland
Paul Cuffe: School of Electrical and Electronic Engineering, University College Dublin, Dublin 4, Ireland

Mathematics, 2019, vol. 7, issue 1, 1-6

Abstract: Calculating nodal voltages and branch current flows in a meshed network is fundamental to electrical engineering. This work demonstrates how such calculations can be performed using the eigenvalues and eigenvectors of the Laplacian matrix which describes the connectivity of the electrical network. These insights should permit the functioning of electrical networks to be understood in the context of spectral analysis.

Keywords: Laplacian matrix; power flow; admittance matrix; voltage profile (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2019
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