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摘要: 基于能量的Lyapunovr函数方法在电力系统的稳定性分析中日益受到人们的重视,应 用该方法的关键问题是如何把所考虑的系统表示为Hamilton系统,即如何完成Hamilton实 现,文中首先研究一般系统的广义Hamilton实现问题,给出了几个充分条件;然后把所得到的 结果应用到电力系统中,得到了双机系统的局部Hamilton耗散实现,并给出了其基于能量的 Lyapunov函数.Abstract: The energy-based Lyapunov function approach plays an important role in the stability analysis of power systems. The key problem of this approach is how to express a system as a Hamiltonian system, i.e. , how to complete Hamiltonian realizations. This paper deals with Hamiltonian realizations of general nonlinear systems and gives several sufficient conditions for the realizations first. Then, as an example, a two-machine power system is investigated and a locally dissipative Hamiltonian realization is proposed.
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