引用本文: | 蔡永智,陈皓勇,郭曼兰.采用有限时间平均一致性协议的电力系统分布式状态估计[J].控制理论与应用,2016,33(8):1007~1014.[点击复制] |
Cai Yong-zhi,CHEN Hao-yong,Guo Man-lan.Distributed power system state estimation using finite-time average consensus protocol[J].Control Theory and Technology,2016,33(8):1007~1014.[点击复制] |
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采用有限时间平均一致性协议的电力系统分布式状态估计 |
Distributed power system state estimation using finite-time average consensus protocol |
摘要点击 3160 全文点击 1290 投稿时间:2015-05-29 修订日期:2016-07-23 |
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DOI编号 10.7641/CTA.2016.50467 |
2016,33(8):1007-1014 |
中文关键词 互联电力系统 多区域 全分布式 有限时间平均一致性协议 加权最小二乘 |
英文关键词 interconnected power system multi-area fully-distributed finite-time average consensus protocol weighed least square |
基金项目 国家自然科学基金项目(51177049), 国家优秀青年科学基金项目(51322702)资助. |
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中文摘要 |
随着基于相量量测单元的广域量测系统在技术上的成熟与推广应用, 利用WAMS量测可实现电力系统线
性状态估计. 本文基于广域量测系统提出一种全分布式状态估计算法. 首先根据拉格朗日乘子法推导了多区域约
束加权最小二乘估计模型, 然后引入有限时间平均一致性协议, 得到系统量测正常情况下的分布式状态估计算法.
考虑了系统量测存在异常数据情况, 根据最小二乘估计的几何意义扩展推导出修正算法, 使其在各区域剔除异常量
测后, 无需改变信息矩阵, 只需执行若干次有限时间平均一致性协议能收敛至信息矩阵修正后的集中式估计值. 最
后, 理论分析和实验结果证明了算法的有效性. |
英文摘要 |
With the wide-area measurement system based on phasor measurement unit in the maturity of the technology
and application, usingWAMS measurements can realize the linear power system state estimation. In this paper, we propose
a fully-distributed state estimation algorithm based on WAMS. First, the multi-area constrained weighted least squares
estimation model is established by Lagrange Multiplier Method. Then, by introducing the finite-time average consensus
protocol into the multi-area constrained weighted least squares estimation model, the distributed state estimation algorithm
without abnormal measurements is presented. Moreover, by considering the presence of abnormal measurements, we
deduce a modified algorithm according to the geometric meaning of the least squares estimate. After eliminating abnormal
measurements in each sub-region, the modified algorithm can converge to the centralized estimate without changing the
information matrix, by executing the finite-time average consensus protocol several times. Finally, theoretical analysis and
experimental results prove the effectiveness of the algorithm. |
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