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Volume 11 Issue 1
Jan.  2024

IEEE/CAA Journal of Automatica Sinica

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B. Qu, Z. Wang, B. Shen, H. Dong, and  H. Liu,  “Anomaly-resistant decentralized state estimation under minimum error entropy with fiducial points for wide-area power systems,” IEEE/CAA J. Autom. Sinica, vol. 11, no. 1, pp. 74–87, Jan. 2024. doi: 10.1109/JAS.2023.123795
Citation: B. Qu, Z. Wang, B. Shen, H. Dong, and  H. Liu,  “Anomaly-resistant decentralized state estimation under minimum error entropy with fiducial points for wide-area power systems,” IEEE/CAA J. Autom. Sinica, vol. 11, no. 1, pp. 74–87, Jan. 2024. doi: 10.1109/JAS.2023.123795

Anomaly-Resistant Decentralized State Estimation Under Minimum Error Entropy With Fiducial Points for Wide-Area Power Systems

doi: 10.1109/JAS.2023.123795
Funds:  This work was supported in part by the National Natural Science Foundation of China (61933007, U21A2019, 62273005, 62273088, 62303301), the Program of Shanghai Academic/Technology Research Leader of China (20XD1420100), the Hainan Province Science and Technology Special Fund of China (ZDYF2022SHFZ105), the Natural Science Foundation of Anhui Province of China (2108085MA07), and the Alexander von Humboldt Foundation of Germany
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  • This paper investigates the anomaly-resistant decentralized state estimation (SE) problem for a class of wide-area power systems which are divided into several non-overlapping areas connected through transmission lines. Two classes of measurements (i.e., local measurements and edge measurements) are obtained, respectively, from the individual area and the transmission lines. A decentralized state estimator, whose performance is resistant against measurement with anomalies, is designed based on the minimum error entropy with fiducial points (MEEF) criterion. Specifically, 1) An augmented model, which incorporates the local prediction and local measurement, is developed by resorting to the unscented transformation approach and the statistical linearization approach; 2) Using the augmented model, an MEEF-based cost function is designed that reflects the local prediction errors of the state and the measurement; and 3) The local estimate is first obtained by minimizing the MEEF-based cost function through a fixed-point iteration and then updated by using the edge measuring information. Finally, simulation experiments with three scenarios are carried out on the IEEE 14-bus system to illustrate the validity of the proposed anomaly-resistant decentralized SE scheme.


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    • A novel decentralized state estimation algorithm is developed for the wide-area power system which is divided into several non-overlapping areas
    • An augmented model is constructed to improve the data redundancy with the aid of unscented transformation approach and statistical linearization approach
    • The minimum error entropy with fiducial points criterion is adopted in the state estimator design to enhance the resistance against measurement with anomalies


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