A Novel Arnoldi Method to Calculate the Critical Eigenvalues in Power System

Abstract:

Hopf bifurcation is regarded as one of the three kinds of bifurcations which can cause voltage instability. The Hopf bifurcation was obtained if a pair of complex conjugate eigenvalues of Jacobian matrix crossing the imaginary axis. To calculate the critical eigenvalues of bulk power system, a restarted-refined Arnoldi method is introduced. The refined Ritz vectors are used as the approximations based on the refined projection theory in order to enrich the information of the eigenvectors in the projective subspace. Two examples indicate that the method can work out a set of conjugate eigenvalues which will show whether the Hopf bifurcation appears and provide the datum for the dynamic voltage stability analysis ulteriorly.

• Periodical: Advanced Materials Research (Volumes 433-440)
• Pages: 4194-4200
• DOI: https://doi.org/10.4028/www.scientific.net/AMR.433-440.4194
• Online since: January 2012
• Authors: Hong Zhong Li, Yi Xiong Jin, Da Ning You, Zhen Hua Zhu
• Keywords: Eigenvalue, Hopf Bifurcation, Power System, Refined Arnoldi Method

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