JOURNAL OF SHANDONG UNIVERSITY (ENGINEERING SCIENCE) ›› 2016, Vol. 46 ›› Issue (6): 62-68.doi: 10.6040/j.issn.1672-3961.0.2016.095

Previous Articles     Next Articles

Distributed state estimation algorithm for large-scale dynamic systems

SUN Yibing1, FU Minyue2,3*, WANG Bingchang1, ZHANG Huanshui1   

  1. 1. School of Control Science and Engineering, Shandong University, Jinan 250061, Shandong, China;
    2. School of Electrical Engineering and Computer Science, University of Newcastle, NSW 2308, Australia;
    3. School of Automation, Guangdong University of Technology, Guangzhou 510006, Guangdong, China
  • Received:2016-03-18 Online:2016-12-20 Published:2016-03-18

PDF (PC)

1285

Abstract: The problem of distributed state estimation over discrete-time large-scale dynamic systems was studied. The system was divided into some subsystem, and based on the local measurement and the information received from its neighbors, each subsystem utilized the proposed algorithm to estimate its local state, which reduced the dimension of the state vector, and enjoyed low computational complexity and communication load. This algorithm was run independently and in parallel to effectively reduce the overall execution time. By weakening the constraint condition, the mathematical induction was used to prove that the state estimation and prediction error covariance matrices obtained from this algorithm were positive definite. The rank criterion of system observability together with the inequality technique were utilized to prove that error covariance matrices had upper bounds and the upper bounds were also existence and bounded, which supported the feasibility of this algorithm in applications. At last, simulations of an example were provided to demonstrate the main results.

Key words: state estimation, power system, dynamic system, distributed state estimation, MAP estimation

CLC Number: 

  • TM744
[1] ABUR A, EXPOSITO A G. Power system state estimation: theory and implementation[M]. New York, USA: Marcel Dekker Press, 2004.
[2] WU F F, MOSLEHI K, BOSE A. Power system control centers: past, present, and future[J]. Proceedings of the IEEE, 2005, 93(11):1890-1908.
[3] MONTICELLI A. Electric power system state estimation[J]. Proceedings of the IEEE, 2000, 88(2):262-282.
[4] SHIH K R, HUANG S J. Application of a robust algorithm for dynamic state estimation of a power system[J]. IEEE Transactions on Power Systems, 2002, 17(1):141-147.
[5] LIN J M, HUANG S J, SHIH K R. Application of sliding surface-enhanced fuzzy control for dynamic state estimation of a power system[J]. IEEE Transactions on Power Systems, 2003, 18(2):570-577.
[6] DO COUTTO FILHO M B, DE SOUZA J C S. Forecasting-aided state estimation-part I: panorama[J]. IEEE Transactions on Power Systems, 2009, 24(4):1667-1677.
[7] LEITE D A SILVA A M, DO COUTTO FILHO M B, DE QUEIROZ J F. State forecasting in electric power systems[J]. IEE Proceedings-Generation, Transmission and Distribution, 1983, 130(5):237-244.
[8] HUANG S J, LIN J M. Enhancement of anomalous data mining in power system predicting-aided state estimation[J]. IEEE Transactions on Power Systems, 2004, 19(1):610-619.
[9] WANG Shaobu, GAO Wenzhong, MELIOPOULOS A P S. An alternative method for power system dynamic state estimation based on unscented transform[J]. IEEE Transactions on Power Systems, 2012, 27(2):942-950.
[10] VALVERDE G, TERZIJA V. Unscented Kalman filter for power system dynamic state estimation[J]. IET Generation, Transmission & Distribution, 2011, 5(1):29-37.
[11] REGULSKI P, TERZIJA V. Estimation of frequency and fundamental power components using an unscented Kalman filter[J]. IEEE Transactions on Instrumentation and Measurement, 2012, 61(4):952-962.
[12] LI Yao, HE Xing, ZHANG Weidong. Applications of adaptive CKF algorithm in short-term load forecasting of smart grid[C] //Proceedings of the 33rd Chinese Control Conference(CCC). Nanjing, China: [s.n.] , 2014: 8145-8149.
[13] 陈亮, 毕天姝, 李劲松, 等. 基于容积卡尔曼滤波的发电机动态状态估计[J]. 中国电机工程学报, 2014, 34(16):2706-2713. CHEN Liang, BI Tianshu, LI Jinsong, et al. Dynamic state estimator for synchronous machines based on cubature Kalman filter[J]. Proceedings of the CSEE, 2014, 34(16):2706-2713.
[14] 李阳林, 卫志农, 万军彪. 一种新的分布式电力系统状态估计算法[J]. 继电器, 2007, 35(20):13-22. LI Yanglin, WEI Zhinong, WAN Junbiao. A new algorithm for the distributed state estimation of power systems[J]. Relay, 2007, 35(20):13-22.
[15] SHARMA A, SRIVASTAVA S C, CHAKRABARTI S. Multi-agent-based dynamic state estimator for multi-area power system[J]. IET Generation, Transmission & Distribution, 2016, 10(1):131-141.
[16] FENG Jianxin, ZENG Ming. Optimal distributed Kalman filtering fusion for a linear dynamic system with cross-correlated noises[J]. International Journal of Systems Science, 2012, 43(2): 385-398.
[17] LANG Jinling, WANG Zidong, LIU Xiaohui. Distributed state estimation for discretetime sensor networks with randomly varying nonlinearities and missing measurements[J]. IEEE Transactions on Neural Networks, 2011, 22(3):66-86.
[18] MARELLI D, FU Minyue. Distributed weighted least-squares estimation with fast convergence for large-scale systems[J]. Automatica, 2015, 51:27-39.
[19] SUN Yibing, FU Minyue, WANG Bingchang, et al. A distributed MAP approach to dynamic state estimation with applications in power networks[C] //Proceedings of the 2015 European Control Conference(ECC). Linz, Austria: [s.n.] , 2015: 235-240.
[20] MAKRIDAKIS S, WHEELWRIGHT S C. Forecasting methods and applications[M]. New York, USA: Wiley Press, 1978.
[1] LI Changgang, LI Baoliang, CAO Yongji, WANG Jiaying. Review and prospect on artificial intelligence application in power system power flow calculation [J]. Journal of Shandong University(Engineering Science), 2025, 55(5): 1-17.
[2] ZHANG Hengxu, MA Ruicong, CAO Yongji, LIU Yimin, ZOU Shihao. Review and prospect of research on new power system synchronous stability [J]. Journal of Shandong University(Engineering Science), 2025, 55(2): 1-15.
[3] Youming TANG,Kun DONG,Yuanwei ZHANG. Design and verification of power system for ECVT hybrid electric city bus [J]. Journal of Shandong University(Engineering Science), 2019, 49(6): 98-106.
[4] Yutian LIU, Runjia SUN, Hongtao WANG, Xueping GU. Review on application of artificial intelligence in power system restoration [J]. Journal of Shandong University(Engineering Science), 2019, 49(5): 1-8.
[5] Runjia SUN,Hainan ZHU,Yutian LIU. Transmission network reconfiguration strategy based on preference multiobjective optimization and genetic algorithm [J]. Journal of Shandong University(Engineering Science), 2019, 49(5): 17-23.
[6] Zhixiang LIANG,Xiaoming LIU,Ying MU,Yutian LIU. Prediction method of wind power and PV ramp event based on deep learning [J]. Journal of Shandong University(Engineering Science), 2019, 49(5): 24-28.
[7] Meng LIU,Taoyang XU,Changgang LI,Yue WU,Zhi WANG,Fangfang SHI,Jianjun SU,Guohui ZHANG,Kuan LI. Optimization of emergency load shedding of receiving-end power grid based on Particle Swarm Optimization [J]. Journal of Shandong University(Engineering Science), 2019, 49(1): 120-128.
[8] ZHANG Xianhong, ZHANG Chunrui. Image enhancement algorithm based on six dimensional feedforward neural network model [J]. JOURNAL OF SHANDONG UNIVERSITY (ENGINEERING SCIENCE), 2018, 48(4): 10-19.
[9] HAN Xueshan, WANG Junxiong, SUN Donglei, LI Wenbo, ZHANG Xinyi, WEI Zhiqing. Nodal load forecasting method considering spatial correlation and redundancy [J]. JOURNAL OF SHANDONG UNIVERSITY (ENGINEERING SCIENCE), 2017, 47(6): 7-12.
[10] WANG Hui, CHEN Lizheng, ZHOU Gang, LIU Bochen, YU Yang, LIU Gang, FENG Zhongkui, JIN Zongshuai. Online voltage security assessment of distribution network based on WAMS Light [J]. JOURNAL OF SHANDONG UNIVERSITY (ENGINEERING SCIENCE), 2017, 47(6): 39-45.
[11] WANG Fei, XU Jian, LI Wei, WANG Xinhao, SHI Xiaohan. Rolling optimal dispatch method of wind power based on distributed energy storage system [J]. JOURNAL OF SHANDONG UNIVERSITY (ENGINEERING SCIENCE), 2017, 47(6): 89-94.
[12] ZHAO Yinghong, HE Xiao, ZHOU Donghua. Fault tolerant estimation for a class of networked systems with sensor faults [J]. JOURNAL OF SHANDONG UNIVERSITY (ENGINEERING SCIENCE), 2017, 47(5): 71-78.
[13] HOU Guangsong, GAO Jun, WU Yanda, ZHANG Xin, DENG Ying, LI Changgang, ZHANG Yaping. Correlation analysis between transmission line parameters and operation modes [J]. JOURNAL OF SHANDONG UNIVERSITY (ENGINEERING SCIENCE), 2017, 47(4): 89-95.
[14] LIU Xiangjie, HAN Yaozhen. Multi-machine power system excitation control based on continuous higher-order sliding mode [J]. JOURNAL OF SHANDONG UNIVERSITY (ENGINEERING SCIENCE), 2016, 46(2): 64-71.
[15] LAN Yi-hua, REN Hao-zheng*, ZHANG Yong, ZHAO Xue-feng. An improved Kalman filter algorithm based on the “current” model [J]. JOURNAL OF SHANDONG UNIVERSITY (ENGINEERING SCIENCE), 2012, 42(5): 12-17.
Viewed
Full text


Abstract

Cited
  Shared   
  Discussed   
[1] WANG Su-yu,<\sup>,AI Xing<\sup>,ZHAO Jun<\sup>,LI Zuo-li<\sup>,LIU Zeng-wen<\sup> . Milling force prediction model for highspeed end milling 3Cr2Mo steel[J]. JOURNAL OF SHANDONG UNIVERSITY (ENGINEERING SCIENCE), 2006, 36(1): 1 -5 .
[2] LI Kan . Empolder and implement of the embedded weld control system[J]. JOURNAL OF SHANDONG UNIVERSITY (ENGINEERING SCIENCE), 2008, 38(4): 37 -41 .
[3] KONG Xiang-zhen,LIU Yan-jun,WANG Yong,ZHAO Xiu-hua . Compensation and simulation for the deadband of the pneumatic proportional valve[J]. JOURNAL OF SHANDONG UNIVERSITY (ENGINEERING SCIENCE), 2006, 36(1): 99 -102 .
[4] CHEN Rui, LI Hongwei, TIAN Jing. The relationship between the number of magnetic poles and the bearing capacity of radial magnetic bearing[J]. JOURNAL OF SHANDONG UNIVERSITY (ENGINEERING SCIENCE), 2018, 48(2): 81 -85 .
[5] LI Ke,LIU Chang-chun,LI Tong-lei . Medical registration approach using improved maximization of mutual information[J]. JOURNAL OF SHANDONG UNIVERSITY (ENGINEERING SCIENCE), 2006, 36(2): 107 -110 .
[6] JI Tao,GAO Xu/sup>,SUN Tong-jing,XUE Yong-duan/sup>,XU Bing-yin/sup> . Characteristic analysis of fault generated traveling waves in 10 Kv automatic blocking and continuous power transmission lines[J]. JOURNAL OF SHANDONG UNIVERSITY (ENGINEERING SCIENCE), 2006, 36(2): 111 -116 .
[7] . [J]. JOURNAL OF SHANDONG UNIVERSITY (ENGINEERING SCIENCE), 2009, 39(1): 27 -32 .
[8] LIU Wen-liang, ZHU Wei-hong, CHEN Di, ZHANG Hong-quan. Detection and tracking of moving targets using the morphology match in radar images[J]. JOURNAL OF SHANDONG UNIVERSITY (ENGINEERING SCIENCE), 2010, 40(3): 31 -36 .
[9] WANG Li-ju,HUANG Qi-cheng,WANG Zhao-xu . [J]. JOURNAL OF SHANDONG UNIVERSITY (ENGINEERING SCIENCE), 2006, 36(6): 51 -56 .
[10] SUN Guohua, WU Yaohua, LI Wei. The effect of excise tax control strategy on the supply chain system performance[J]. JOURNAL OF SHANDONG UNIVERSITY (ENGINEERING SCIENCE), 2009, 39(1): 63 -68 .
Copyright 2018 © Editorial office of Journal of Shandong University (Engineering Science)
Supported by Beijing Magtech Co.Ltd