| 基于能量的受迫哈密顿系统的镇定及在电力系统中的应用 |
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| 引用本文： | 程代展,席在荣,洪奕光,秦化淑.基于能量的受迫哈密顿系统的镇定及在电力系统中的应用[J].控制理论与应用,2000,17(6):789-802. |
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| 作者姓名： | 程代展 席在荣 洪奕光 秦化淑 |
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| 作者单位： | [1]中国科学院数学与系统科学研究院系统科学研究所系统控制实验室，北京100080 [2]中国科学院数学与系统科学研究院 |
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| 基金项目： | supportedbytheNationalNaturalScienceFoundutionofChina (G6 97740 0 8,G5 98372 70 ,G19980 2 0 30 8) |
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| 摘 要： | 有两个目的，第一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。
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| 关 键 词： | 电力系统 励磁镇定 受迫密顿系统 张量场 |
Energy-Based Stabilization of Forced Hamiltonian Systems and Its Application to Power Systems |
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| CHENG Daizhan,\ XI Zairong,HONG Yiguang and QIN Huashu.Energy-Based Stabilization of Forced Hamiltonian Systems and Its Application to Power Systems[J].Control Theory & Applications,2000,17(6):789-802. |
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| Authors: | CHENG Daizhan \ XI Zairong HONG Yiguang and QIN Huashu |
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| Abstract: | 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. |
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| Keywords: | forced Hamiltonian system with dissipation energy-based Lyapunov function tensor field power systems |
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