Analysis on Hopf bifurcation of the grid-connected small hydropower system based on center manifold theory

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Journal of Vibration and Shock ›› 2015, Vol. 34 ›› Issue (2) : 50-54.

ZHANG Zhong-hua，LI Peng-song，FU Jing-hao

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Abstract

Aiming at the grid-connected small hydropower system. Firstly, the Hopf bifurcation position of system is found and then bifurcation diagrams are drawn by Matcont Software. Secondly, the high-dimensional power system becomes a two-dimensional system by center manifold theory, and the bifurcation stability coefficient of the two-dimensional system is calculated to determine the Hopf bifurcation type of original system,
thus some conclusions are obtained that the voltage is unstable when the stability coefficient greater than zero and the voltage is stable when the stability coefficient less than zero. Finally, Matlab Software is applied to verify the discusses.

Key words

power system / hopf bifurcation / center manifold theory / voltage stability

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ZHANG Zhong-hua;LI Peng-song;FU Jing-hao. Analysis on Hopf bifurcation of the grid-connected small hydropower system based on center manifold theory[J]. Journal of Vibration and Shock, 2015, 34(2): 50-54