摘要
有两个目的 .第一个目的是考虑电力系统的励磁镇定 .将该系统表示为具有耗散的受迫哈密顿系统的形式 ,随后基于能量构造了李雅普诺夫函数来考察受迫系统的稳定性 .第二个目的是提出广义哈密顿系统的模型 .广义哈密顿系统具有外部能量供给、内部能量供给及能量消耗 .状态空间被描述成具有二次张量场的流形 ,得到了广义哈密顿系统与坐标无关的全局模型 .
The purpose of this paper is twofold. First of all, the stabilization of excitation control of power systems is considered. The system has been formulated as a forced Hamiltonian system with dissipation. The energy-based Lyapunov function is constructed to investigate the stability of the forced system. Secondly, the model of the generalized Hamiltonian systems is proposed, which consists of externally supplied energy, dissipation and internal energy source. The state space is described as a manifold equipped with a quadratic tensor field. Global coordinate free model of the generalized Hamiltonian systems is obtained.
出处
《控制理论与应用》
EI
CAS
CSCD
北大核心
2000年第6期789-802,共14页
Control Theory & Applications
基金
supportedbytheNationalNaturalScienceFoundutionofChina (G6 97740 0 8,G5 98372 70 ,G19980 2 0 30 8)
关键词
电力系统
励磁镇定
受迫密顿系统
张量场
forced Hamiltonian system with dissipation
energy-based Lyapunov function
tensor field
power systems
