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

Author

Listed:
  • 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)

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.

Suggested Citation

  • Ioannis Dassios & Andrew Keane & Paul Cuffe, 2019. "Calculating Nodal Voltages Using the Admittance Matrix Spectrum of an Electrical Network," Mathematics, MDPI, vol. 7(1), pages 1-6, January.
    • Handle: RePEc:gam:jmathe:v:7:y:2019:i:1:p:106-:d:199307
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    References listed on IDEAS

    as
    1. Pagani, Giuliano Andrea & Aiello, Marco, 2013. "The Power Grid as a complex network: A survey," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(11), pages 2688-2700.
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