Chaotic oscillation will occur in power system when there exist periodic load disturbances. In order to analyze the chaotic oscillation characteristics and suppression method, this paper establishes the simplified mathematical model of the interconnected two-machine power system and analyzes the nonlinear dynamic behaviors, such as phase diagram, dissipation, bifurcation map, power spectrum, and Lyapunov exponents. Based on fractional calculus and sliding mode control theory, the fractional-order hyperbolic tangent sliding mode control is proposed to realize the chaotic oscillation control of the power system. Numerical simulation results show that the proposed method can not only suppresses the chaotic oscillation but also reduce the convergence time and suppress the chattering phenomenon and has strong robustness.

中文翻译：

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电力系统混沌振荡的分数阶双曲正切滑模控制

当存在周期性的负载扰动时，电力系统将发生混沌振荡。为了分析混沌振动特性和抑制方法，建立了互联两机电源系统的简化数学模型，并分析了非线性动态行为，如相图，耗散，分叉图，功率谱和李雅普诺夫指数。 。基于分数阶微积分和滑模控制理论，提出分数阶双曲正切滑模控制，以实现电力系统的混沌振动控制。数值仿真结果表明，该方法不仅可以抑制混沌振荡，而且可以减少收敛时间，抑制颤振现象，具有很强的鲁棒性。