系统仿真学报 ›› 2023, Vol. 35 ›› Issue (6): 1191-1202.doi: 10.16182/j.issn1004731x.joss.22-0191

• 论文 • 上一篇    下一篇

基于卡尔曼滤波分解的配电网安全状态估计

刘兴华(), 董思文, 田佳强()   

  1. 西安理工大学 电气工程学院,陕西 西安 710048
  • 收稿日期:2022-03-09 修回日期:2022-05-11 出版日期:2023-06-29 发布日期:2023-06-20
  • 通讯作者: 田佳强 E-mail:liuxh@xaut.edu.cn;tianjiaqiang@xaut.edu.cn
  • 作者简介:刘兴华(1986-),男,教授,博士,研究方向为智能电网运行优化与控制。E-mail:liuxh@xaut.edu.cn
  • 基金资助:
    国家自然科学基金(U2003110);陕西省教育厅重点实验室(20JS110)

Secure State Estimation of Distribution Network Based on Kalman Filter Decomposition

Xinghua Liu(), Siwen Dong, Jiaqiang Tian()   

  1. School of Electrical Engineering, Xi'an University of Technology, Xi'an 710048, China
  • Received:2022-03-09 Revised:2022-05-11 Online:2023-06-29 Published:2023-06-20
  • Contact: Jiaqiang Tian E-mail:liuxh@xaut.edu.cn;tianjiaqiang@xaut.edu.cn

摘要:

为使配电网在虚假数据注入(false data injection, FDI)攻击下仍旧可以获得最优的状态估计,提出了一种新的状态估计算法,提高了配电网抵御FDI攻击的状态估计精度。在相量测量单元(phasor measurement units, PMU)被攻击的情况下,即测量值被篡改,最优卡尔曼估计可以分解为局部状态估计的加权和。该方法在某种意义上不安全,基于局部估计,提出了一种基于凸优化的方法,以取代加权和方法,将局部估计结合成一个安全的状态估计。仿真结果表明:当所有PMU量测设备都是良好时,所提的估计器与卡尔曼估计器的估计结果一致。当PMU设备被攻击造成量测量异常时,提供一个充分条件,在这个条件下安全状态估计器是稳定的。

关键词: 配电网, 状态估计, 安全性, 卡尔曼滤波分解, 虚假数据注入攻击

Abstract:

A new state estimation algorithm is proposed to improve the accuracy to obtain the optimal state estimation of distribution network against FDI attack. In the case of phasor measurement units being attacked and the measurement results being altered, the optimal Kalman estimate can be decomposed into a weighted sum of local state estimates. Focusing on the insecurity of the weighted sum method, a convex optimization based on local estimation is proposed to replace the method and combine the local estimation into a secure state estimation. The simulation results show that the proposed estimator is consistent with the Kalman estimator when all the PMU measuring devices operate well. When the PMU device is attacked and the measurement is abnormal, a sufficient condition is provided, under which the security state estimator is stable.

Key words: distribution network, state estimation, security, Kalman filter decomposition, FDI attack

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