采用Hamilton函数方法研究了静止无功补偿器(SVC)的鲁棒非线性控制问题。首先基于系统网络结构特点,建立了包含SVC、恒功率负荷和有界外部扰动的电力系统的结构保留不确定非线性控制数学模型,然后通过坐标变换和预置状态反馈控制完成了系统的耗散Hamilton实现。最后,基于该耗散实现设计了鲁棒控制器,并分析了闭环系统的渐近稳定性。由于充分利用了系统的内在耗散结构特性,所设计的鲁棒控制器物理意义明确,易于实现。与常规PID控制器的仿真比较表明,该鲁棒控制器作用下系统的超调量小、响应速度快,能有效抑制外部干扰对系统暂态稳定性的影响,有效提高了系统的动态性能。
Hamiltonian function method is applied to investigate the robust nonlinear control of SVC (Static Vat Compensator). The uncertain nonlinear structure preserving model is constructed according to the network structure of power system with SVC,constant power load and bounded external disturbances,and its dissipative Hamiltonian realization is implemented with variable transformation and pre-feedback control,based on which,a robust controller is designed and the asymptotic stability of its close-loop system is analyzed. Due to the extensive utilization of inherent dissipative system structure,the designed robust controller has clear physical significance and is easy to implement. Simulative results show that,compared to the traditional PID controller,the power system with the proposed controller has smaller overshoot and faster response. The impact of external disturbance on system is suppressed and the system dynamic performance is improved effectively.