引用本文:刘子文,苗世洪,李力行,魏德华,晁凯云,范志华.基于多状态Markov模型和逆最优理论的HVDC附加控制器[J].电力自动化设备,2018,(11):
LIU Ziwen,MIAO Shihong,LI Lixing,WEI Dehua,CHAO Kaiyun,FAN Zhihua.Complementary controller of HVDC based on multi state Markov model and inverse optimal theory[J].Electric Power Automation Equipment,2018,(11):
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基于多状态Markov模型和逆最优理论的HVDC附加控制器
刘子文1,2, 苗世洪1,2, 李力行1,2, 魏德华1,2, 晁凯云1,2, 范志华1,2
1.华中科技大学 电气与电子工程学院 强电磁工程与新技术国家重点实验室,湖北 武汉430074;2.华中科技大学 电气与电子工程学院 电力安全与高效湖北省重点实验室,湖北 武汉430074
摘要:
高压直流输电(HVDC)的附加控制器可以显著改善交直流混联系统的稳定性,但电力系统在随机大扰动下呈现出连续时间动态和离散事件相互作用的混杂特性,使得基于系统固定工况的传统建模方法无法全面描述系统的运行状态。针对此问题,提出了一种基于多状态Markov模型和逆最优理论的HVDC附加控制器。首先建立了多区域交直流混联系统的多状态Markov模型,在此基础上,提出了交直流混联Markov系统的逆最优反推控制策略,该策略将非线性系统最优控制问题转化为渐近稳定控制律的求解问题,不仅能够确保随机扰动下系统的鲁棒稳定性,还解决了具有非线性特性的系统全局优化问题,同时也避免了求解HJI偏微分方程,使控制策略易于工程实现。在选择控制参数时,以设备停运率替代Markov系统的状态转移率,因而可在满足系统多状态特性的同时,避免由于实际系统运行方式的复杂性给控制策略的实现带来的困难。仿真结果表明,与传统的控制器相比,所提的HVDC附加控制器能显著提高交直流混联系统的暂态稳定性。
关键词:  交直流混联系统  高压直流输电  附加控制  多状态Markov模型  随机扰动  逆最优理论
DOI:10.16081/j.issn.1006-6047.2018.11.017
分类号:TM711
基金项目:国家重点研发计划项目(2017YFB0903601);国家自然科学基金资助项目(51377068)
Complementary controller of HVDC based on multi state Markov model and inverse optimal theory
LIU Ziwen1,2, MIAO Shihong1,2, LI Lixing1,2, WEI Dehua1,2, CHAO Kaiyun1,2, FAN Zhihua1,2
1.State Key Laboratory of Advanced Electromagnetic Engineering and Technology, School of Electrical and Electronic Engineering, Huazhong University of Science and Technology, Wuhan 430074, China;2.Hubei Electric Power Security and High Efficiency Key Laboratory, School of Electrical and Electronic Engineering, Huazhong University of Science and Technology, Wuhan 430074, China
Abstract:
The complementary controller of HVDC(High Voltage Direct Current) can efficiently improve the stability of AC/DC hybrid power system. However, the interaction of simultaneous continuous time dynamic and discrete event under large random disturbances raises hybrid characteristics in a power system. As a result, traditional modelling methods based on a fixed operating condition cannot accurately describe the system operating states. To address this problem, a complementary controller of HVDC based on the multi-state Markov model and inverse optimal theory is proposed. Firstly, the multi-state Markov model of the multi-zone AC/DC hybrid power system is established. On this basis, the inverse optimal back-stepping control strategy of AC/DC hybrid Markov system is proposed, which transforms the optimal control problem of nonlinear systems to the problem of solving the asymptotically stable control law. The proposed strategy can not only ensure the system robust stability under random disturbances, but also solve the global optimization problem of the system with nonlinear characteristics, at the same time, avoid solving the HJI partial differential equations, which facilitates engineering applications. When choosing control parameters, the state transition rate of Markov system is replaced by the equipment outage rate, which can satisfy the system multi-state characteristics, and avoid the difficulties caused by the operating complexity of actual system. Simulative results show that the proposed complementary controller of HVDC is more effective in improving the transient performance of AC/DC hybrid power system compared with traditional controllers.
Key words:  AC/DC hybrid power system  HVDC  complementary control  multi-state Markov model  random disturbance  inverse optimal theory

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