Computation of limit cycle via higher order harmonic balance approximation and its application to a 3-bus power system

Zhujun Jing1,2, Jinliang Wang3, Luonan Chen4
1Academy of Mathematics and System Sciences, Chinese Academy and Sciences, Beijing, China
2Department of Mathematics, Human Normal University, Changsha, China
3Tsinghua University, Beijing, China
4Osaka Sangyo University, Osaka, Japan

Tóm tắt

This work reviews and elaborates a frequency domain approximate method of estimating amplitude, frequency, and stability of the limit cycle near Hopf bifurcations. A new iterative method and new criterion for ascertaining stability are presented. The method and criterion are applied to a 3-bus dynamic power system model to give the amplitude, frequency and stability at its Hopf bifurcations. New analytic formulas for bifurcation curves are derived by using analytic method, some new saddle-node bifurcation at low voltage levels are found on the formulas. The influence of rotor inertia on the Hopf bifurcation is also studied.

Từ khóa

#Power system harmonics #Limit-cycles #Power system stability #Bifurcation #Power system modeling #Power system dynamics #Frequency estimation #Stability criteria #Frequency domain analysis #Amplitude estimation

Tài liệu tham khảo

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