Novel approach for calculation and analysis of eigenvalues and eigenvectors in microgrids

Yan Li, Wenzhong Gao, Eduard Muljadi, Jiuchun Jiang

Research output: Contribution to conferencePaper

3 Scopus citations

Abstract

The calculation of eigenvalues and eigenvectors plays an important role in the stability analysis and optimal design of microgrids with multiple distributed energy resources. Microgrid systems are usually operated in various uncertain conditions. In this paper, a novel approach based on matrix perturbation theory is proposed for the calculation and analysis of eigenvalues and eigenvectors in a microgrid system. Rigorous theoretical analysis to solve eigenvalues and the corresponding eigenvectors for a system under various perturbations caused by fluctuations of irradiance, wind speed, or loads is presented. A computational flowchart is then proposed for the unified solution of eigenvalues and eigenvectors in microgrids, aimed toward obtaining eigenvalues and eigenvectors intuitively under different perturbations, which makes repeatedly solving an eigenvalue problem unnecessary. Finally, the effectiveness of the matrix perturbation-based approach in microgrids is verified by numerical examples on a typical low-voltage microgrid network.

Original languageEnglish (US)
DOIs
StatePublished - 2014
Event2014 Clemson University Power Systems Conference, PSC 2014 - Clemson, SC, United States
Duration: Mar 11 2014Mar 14 2014

Conference

Conference2014 Clemson University Power Systems Conference, PSC 2014
CountryUnited States
CityClemson, SC
Period3/11/143/14/14

All Science Journal Classification (ASJC) codes

  • Energy Engineering and Power Technology
  • Fuel Technology

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    Li, Y., Gao, W., Muljadi, E., & Jiang, J. (2014). Novel approach for calculation and analysis of eigenvalues and eigenvectors in microgrids. Paper presented at 2014 Clemson University Power Systems Conference, PSC 2014, Clemson, SC, United States. https://doi.org/10.1109/PSC.2014.6808122