Abstract：To the power system of single hydropower unit, this paper analyses the influence of limit of governor system on ultra-low frequency oscillations (ULFO) by the phase portrait method, and reveals that one of the mathematical mechanisms of ULFO is non-smooth bifurcation. In detail, firstly, the oscillation phenomenon of non-smooth system caused by the saturation of limit is analyzed, illustrating that one of the reasons for the oscillation of general dynamic systems is the non-smooth bifurcation associated with the saturation of limit. Secondly, a simple mathematical model, state equation and balance point characteristics of the power system of single hydropower unit with limiting link are given. And then, the dynamic characteristics of the system phase portrait with/without limit cycle under different initial conditions and with/without limit are analyzed, which show that the saturation of the limit of governor system and the large enough initial value are one of the reasons for the system ULFO and reveal the non-smooth bifurcation characteristics of the system for initial values. Finally, the influence of different system parameters on the dynamic characteristics of the system with/without limit cycle is analyzed, and the non-smooth bifurcation characteristics of system parameters under certain initial values are revealed.
薛安成, 王嘉伟. 基于非光滑分岔的单机水电系统超低频频率振荡机理分析[J]. 电工技术学报, 2020, 35(7): 1489-1497.
Xue Ancheng, Wang Jiawei. Mechanism Analysis of Ultra-Low Frequency Oscillation of Single Hydropower System Based on Non-Smooth Bifurcation. Transactions of China Electrotechnical Society, 2020, 35(7): 1489-1497.
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2020, Vol. 35 
