中文摘要：

Hamilton系统实现理论在电力系统的稳定分析与控制设计中起到了重要的作用，分析力学的Lagrange化能够为系统Hamilton实现及稳定控制设计提供有效的解决方法。将含有TCSC的单机无穷大系统动态模型延拓为偶数阶系统，并在满足自伴随条件的基础上推导出系统相应的Hamilton函数及其Hamilton实现形式。基于非保守分析力学思想设计出能够使得该系统在Lvapunov意义下平衡点邻域内趋于渐近稳定的控制器，并利用Matlab编程对含TCSC的单机无穷大系统进行暂态仿真，进而在三相短路接地故障下验证所设计控制器的暂态响应效果，大大缩短了系统动态响应的时间并降低了响应曲线的波动幅值。该Hamilton系统的实现方法与控制策略的设计思路具有广泛的应用和发展前景。

英文摘要：

The realization theory of Hamilton system plays an important role in the stability analysis and controller design of the power system. The Lagrangian of analytical mechanics can provide an effective approach for the Hamilton realization of the system and the design of stability control. In this paper, the dynamic model of the singlemachine infinitebus system with TCSC is extended to an evenorder system. According to the selfadjoin conditions the corresponding Hamilton function and the Hamilton realization form are derived. Based on the non conservative analytical mechanics theory, the system controller is designed, which can make the system tend to be asymptotically stable near the equilibrium point under Lyapunov sense, and the transient simulation is realized on the singlemachine infinitebus system with TCSC using Matlab programming. The transient response effects of the designed controller under three phase shortcircuit grounded fault are verified, which greatly shortens the dynamic response time of the system and reduces the fluctuation amplitude of the response curve. The realization approach of Hamilton system and design of the controller have a broad prospect of applications and developments.