采用区间动态状态估计的局部不可观系统谐波源定位  

Harmonic Source Location in the Partial Unobservable System Based on Interval Dynamic State Estimation

作　　者：邵振国 林洪洲[1,2] 陈飞雄 林俊杰 张嫣 Shao Zhenguo;Lin Hongzhou;Chen Feixiong;Lin Junjie;Zhang Yan(Fujian Smart Electrical Engineering Technology Research Center,Fuzhou,350108,China;College of Electrical Engineering and Automation Fuzhou University,Fuzhou,350108,China)

机构地区：[1]福建省电器智能化工程技术研究中心,福州350108 [2]福州大学电气工程与自动化学院,福州350108

出　　处：《电工技术学报》2023年第9期2391-2402,共12页Transactions of China Electrotechnical Society

基　　金：国家自然科学基金项目(51777035);福建自然科学基金重点项目(2020J02028)资助。

摘　　要：传统动态谐波状态估计方法无法有效应对线路参数不确定或局部不可观系统问题,因此用于谐波源定位仍存在较大的局限性。针对上述不足,该文提出基于区间动态状态估计的局部不可观系统谐波源定位方法。首先,利用多端口等效将局部不可观系统转化为等效可观系统,在考虑线路参数不确定性前提下,采用基于误差最优上界的区间卡尔曼滤波算法进行区间动态谐波状态估计;其次,筛选出高度线性相关的状态量,并采用区间中点线性回归辨识回归系数,将其与不可观区域中的节点进行匹配,将匹配度最高的节点视为不可观区域中谐波源所在位置;最后通过算例验证所提方法的可行性与准确性。Due to the cost of measurement devices,it is impossible to directly monitor all nodes.Although some nodes can be indirectly monitored by optimizing the configuration of measurement devices,there may still be areas where harmonic information is unobservable in the system.At present,based on the sparse characteristics of harmonic source,the researches estimate harmonic state to locate the harmonic source in the partial unobservable system,but the accuracy of the results is easily affected by factors such as the position of the measurement devices.In addition,the current harmonic state estimation researches are all deterministic state estimation.In fact,due to changes in the field environment,operating status,and equipment aging,the line parameters may be deviated,making it difficult to calculate the accurate harmonic state for deterministic harmonic state estimation.To address the above shortcomings,a harmonic source location method based on interval dynamic state estimation is proposed for the partial unobservable system.Firstly,the partial unobservable system is transformed into an equivalent observable system by using the multiport equivalence.Secondly,the interval Kalman filter algorithm,which is based on minimal upper bound of error covariance,is used for interval dynamic harmonic state estimation with considering the uncertainty of line parameters.Thirdly,the state variables with linear correlation between boundary nodes are screened out.Then,the linear regression at the midpoint of the interval is used to obtain the regression coefficients,which are applied to be matched with the nodes.The node with the highest matching degree is considered as the position of harmonic source in the unobservable region.Finally,the feasibility and accuracy of the proposed method are demonstrated by simulation and arithmetic case verification.The simulation results show that,under the partial unobservable system,the traditional harmonic source location method based on compressed sensing incorrectly judges node 7 and node 16 as

关 键 词：电能质量 局部不可观系统 多端口等效 区间动态谐波状态估计 谐波源定位 

分 类 号：TM711[电气工程—电力系统及自动化]