Stabilizing control of wide-area power system with signal transmission delay based on Hamiltonian functional method

Stabilizing control of wide-area power system with signal transmission delay based on Hamiltonian functional method
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基于哈密顿泛函方法的信号传输时滞广域电力系统稳定控制

DOI:
10.1080/1448837x.2015.1092920
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发表时间:
2015-07
影响因子:
--
通讯作者:
Jie Wang
Jie Wang
中科院分区:
--
文献类型:
--
作者:
Zhiyuan Liu;Gulizhati Hailati;Jie Wang

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摘要研究了具有信号传输延迟的广域电力系统的稳定性问题。建立了电力系统的非线性时滞哈密顿模型。基于所提出的模型,通过构造适当的Lyapunov-Krasovskii泛函,利用哈密顿泛函方法,得到了基于矩阵不等式的时滞相关稳定判据。然后基于时滞相关的充分条件设计了电力系统的广域阻尼控制器。研究了远程信号传输引入的恒定时延。研究了WADC的参数与延迟裕度之间的关系。它用于指导WADC的设计,实现了阻尼性能和延迟裕度之间的折衷。以四机十一节点电力系统为例,说明了时延对区域间模式阻尼的影响。时域仿真结果验证了所提出的控制器的性能,证明了本文提出的方法的有效性。
Abstract The stability of wide-area power system with signal transmission delay is investigated in this paper. A non-linear time-delay Hamiltonian model of power system is constructed. Based on the proposed model, the Hamiltonian functional method is used to derive a delay-dependent steady stability criterion in term of matrix inequalities by constructing suitable Lyapunov–Krasovskii functional. Then the wide-area damping controller (WADC) for the power system is designed based on the delay-dependent sufficient conditions. The constant time-delay introduced by the transmission of the remote signals is investigated. The relationship between the parameters of WADC and the delay margin has been investigated. It is used to guide the design of WADC and achieve a trade-off between the damping performance and delay margin. Four-generator eleven-bus power system is used to illustrate delay effect on inter-area mode damping. The performance of the proposed controller is verified by the results of simulation in time-domain, and it is proved that the method proposed in this paper is effective.
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