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

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Title: Calculating Nodal Voltages Using the Admittance Matrix Spectrum of an Electrical Network
Authors: Dassios, Ioannis K.
Keane, Andrew
Cuffe, Paul
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Date: 20-Jan-2019
Online since: 2019-05-21T11:37:09Z
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.
Funding Details: Science Foundation Ireland
Type of material: Journal Article
Publisher: MDPI
Journal: Mathematics
Volume: 7
Issue: 1
Copyright (published version): 2019 the Authors
Keywords: Laplacian matrixPower flowAdmittance matrixVoltage profile
DOI: 10.3390/math7010106
Language: en
Status of Item: Peer reviewed
Appears in Collections:Electrical and Electronic Engineering Research Collection

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