|
|
Smart Grid 2021
考虑时滞因素的电力系统迭代辨识广域阻尼控制算法收敛性研究
|
Abstract:
电力系统控制算法收敛性分析是衡量电力系统控制性能好坏的重要方法，算法收敛性决定了算法实现的可行性。迭代辨识算法是现代电力系统阻尼控制的一种重要控制方法，本文针对提出的一种考虑时滞的迭代辨识广域阻尼控制器算法，首先简述了该迭代辨识广域阻尼控制算法的基本步骤；其次把电力系统迭代辨识算法等效成分割系统，通过证明分割系统的稳定性间接证明了该算法的收敛性；然后又采用Q因子法分析了该算法的收敛速度；最后与其它方法在收敛速度上进行了对比，并分析了Vinnicombe的动态变化过程。仿真结果表明，本文提出的迭代辨识算法能在10秒内有效收敛，收敛速度较快。
The convergence of power system algorithm is one of the indexes to measure the performance of power system algorithm. The convergence determines the feasibility of algorithm. The iterative identification algorithm is an important control method of modern power system control. In this paper, a new algorithm for iterative identification of wide-area damping controller is proposed. Firstly, the basic steps of the iterative identification wide-area damping control algorithm are briefly introduced. Secondly, the algorithm convergence is proved by using the method of segmentation system. Then, the convergence rate of the algorithm is analyzed by Q factor method. Finally, the convergence speed is compared with other methods. Simulation results show that the proposed algorithm can converge effectively and converge faster.
| [1] | Albertos, P. and Sala, A. (2002) Iterative Identification and Control. Springer, London.
https://doi.org/10.1007/978-1-4471-0205-2 |
| [2] | 陈学敏, 郭桂蓉. WCE迭代算法的收敛性分析[J]. 国防科技大学学报, 1986, 55(3): 11-20. |
| [3] | 张克军, 刘芳, 刘万利. 线性广义系统P型迭代学习控制在Lp范数意义下的收敛性[J]. 科学技术与工程, 2020, 20(7): 2773-2777. |
| [4] | 詹玉枝, 梁成斌, 张庆芳. 基于迭代学习控制的二阶延迟微分系统研究[J]. 计量学报, 2020, 41(3): 374-378. |
| [5] | van de Jeroen, W., Donkers, T. and Bosgra, O. (2009) Brief Paper: Iterative Learning Control for Uncertain Systems: Robust Monotonic Convergence Analysis. Automatica, 45, 2383-2391.
https://doi.org/10.1016/j.automatica.2009.06.033 |
| [6] | 吴涛. 粒子群及量子行为粒子群优化算法的改进研究[D]: [博士学位论文]. 成都: 西南交通大学, 2013. |
| [7] | Ruan, X., Bien, Z.Z. and Wang, Q. (2012) Convergence Characteristics of Proportional-Type Iterative Learning Control in the Sense of Lebesgue-p Norm. IET Control Theory & Applications, 6, 707-714.
https://doi.org/10.1049/iet-cta.2010.0388 |
| [8] | Ruan, X., Bien, Z.Z. and Wang, Q. (2012) Convergence Properties of Iterative Learning Control Processes in the Sense of the Lebesgue-P Norm. Asian Journal of Control, 14, 1095-1107. https://doi.org/10.1002/asjc.425 |
| [9] | 邓集瀚, 杨俊杰, 魏春娟, 等. 基于改进细菌觅食算法的无功优化[J]. 仪表技术, 2016, 32(5): 37-40. |
| [10] | Owens, D.H. and Feng, K. (2003) Parameter Optimisation in Iterative Learning Control. European Control Conference, Cambridge, 1-4 September 2003, 228-233. https://doi.org/10.23919/ECC.2003.7084959 |
| [11] | 周伟, 刘保彬. 一类复杂非线性系统的迭代学习控制算法[J]. 控制工程, 2021, 28(5): 877-884. |
| [12] | 罗彦博. 广义系统的迭代学习控制算法研究[D]: [硕士学位论文]. 广州: 华南理工大学, 2016. |
| [13] | Chien, C.-J. (1998) A Discrete Iterative Learning Control for a Class of Nonlinear Time-Varying Systems. IEEE Transactions on Automatic Control, 43, 748-752. https://doi.org/10.1109/9.668852 |
| [14] | 逄勃. 优化迭代学习控制算法及其收敛性分析[D]: [博士学位论文]. 大连: 大连理工大学, 2013. |
| [15] | 于淼, 尚伟鹏, 袁志昌, 等. 基于迭代辨识方法的含风电多干扰电力系统阻尼控制[J]. 电力系统自动化, 2017(23): 61-67. |
| [16] | Zhang, X.M. and Han, Q.L. (2009) New Lyapunov-Krasovskii Functionals for Global Asymptotic Stability of Delayed Neural Networks. IEEE Transactions on Neural Networks, 20, 533-539.
https://doi.org/10.1109/TNN.2009.2014160 |
| [17] | Ramakrishnan, K. and Ray, G. (2011) Robust Stability Criteria for Uncertain Neutral Systems with Interval Time-Varying Delay. Journal of Optimization Theory and Applications, 149, 366-384.
https://doi.org/10.1007/s10957-010-9784-0 |
| [18] | Yue, D., Tian, E. and Zhang, Y. (2009) A Piecewise Analysis Method to Stability Analysis of Linear Continuous/Discrete Systems with Time-Varying Delay. International Journal of Robust & Nonlinear Control, 19, 1493-1518.
https://doi.org/10.1002/rnc.1399 |
| [19] | Bien, Z. and Huh, K.M. (1989) Higher-Order Iterative Learning Control Algorithm. IEE Proceedings D (Control Theory & Applications), 136, 105-112. https://doi.org/10.1049/ip-d.1989.0016 |
| [20] | Albertos, P. and Piqueras, A.S. (2002) Iterative Identification and Control: Advances in Theory and Applications. Springer Verlag, New York, 185-208. https://doi.org/10.1007/978-1-4471-0205-2 |
| [21] | 马燕峰, 张佳怡, 蒋云涛, 等. 计及广域信号多时滞影响的电力系统附加鲁棒阻尼控制[J]. 电工技术学报, 2017, 32(6): 58-66. |
| [22] | 王海龙. 计及信号传输延时的电力系统阻尼控制器设计[D]: [硕士学位论文]. 南京: 南京邮电大学, 2015. |
