Abstract
The economic dispatch problem of a smart grid under vicious denial of service (DoS) is the main focus of this paper. Taking the actual situation of power generation as a starting point, a new distributed optimization model is established which takes the environmental pollution penalty into account. For saving the limited bandwidth, a novel distributed event-triggered scheme is proposed to keep the resilience and economy of a class of cyber-power systems when the communication network is subject to malicious DoS attack. Then an improved multi-agent consensus protocol based on the gradient descent idea is designed to solve the minimization problem, and the prerequisites to minimize the system power generation cost are analyzed from the aspects of optimality and stability. Finally, the theoretical results are verified through a single-area 10-generator unit simulation.
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References
Elsayed WT, El-Saadany EF, 2015. A fully decentralized approach for solving the economic dispatch problem. IEEE Trans Power Syst, 30(4):2179–2189. https://doi.org/10.1109/TPWRS.2014.2360369
Fan JY, Zhang L, 1998. Real-time economic dispatch with line flow and emission constraints using quadratic programming. IEEE Trans Power Syst, 13(2):320–325. https://doi.org/10.1109/59.667345
Gharesifard B, Cortés J, 2014. Distributed continuous-time convex optimization on weight-balanced digraphs. IEEE Trans Autom Contr, 59(3):781–786. https://doi.org/10.1109/TAC.2013.2278132
Guo FH, Wen CY, Mao JF, et al., 2016. Distributed economic dispatch for smart grids with random wind power. IEEE Trans Smart Grid, 7(3):1572–1583. https://doi.org/10.1109/TSG.2015.2434831
Guo FH, Li GQ, Wen CY, et al., 2019. An accelerated distributed gradient-based algorithm for constrained optimization with application to economic dispatch in a large-scale power system. IEEE Trans Syst Man Cybern Syst, in press. https://doi.org/10.1109/TSMC.2019.2936829
Guo T, Henwood MI, van Ooijen M, 1996. An algorithm for combined heat and power economic dispatch. IEEE Trans Power Syst, 11(4):1778–1784. https://doi.org/10.1109/59.544642
Huang BN, Liu LN, Zhang HG, et al., 2019. Distributed optimal economic dispatch for microgrids considering communication delays. IEEE Trans Syst Man Cybern Syst, 49(8):1634–1642. https://doi.org/10.1109/TSMC.2019.2900722
Kia SS, Cortés J, Martínez S, 2015. Distributed convex optimization via continuous-time coordination algorithms with discrete-time communication. Automatica, 55:254–264. https://doi.org/10.1016/j.automatica.2015.03.001
Li CJ, Yu XH, Yu WW, et al., 2016. Distributed event-triggered scheme for economic dispatch in smart grids. IEEE Trans Ind Inform, 12(5):1775–1785. https://doi.org/10.1109/TII.2015.2479558
Lin CE, Chen ST, Huang CL, 1992. A direct Newton-Raphson economic dispatch. IEEE Trans Power Syst, 7(3):1149–1154. https://doi.org/10.1109/59.207328
Olfati-Saber R, Murray RM, 2004. Consensus problems in networks of agents with switching topology and time-delays. IEEE Trans Autom Contr, 49(9):1520–1533. https://doi.org/10.1109/TAC.2004.834113
Qin JH, Wan YN, Yu XH, et al., 2019. Consensus-based distributed coordination between economic dispatch and demand response. IEEE Trans Smart Grid, 10(4):3709–3719. https://doi.org/10.1109/TSG.2018.2834368
Qin JH, Wan YN, Yu XH, et al., 2020. A Newton method-based distributed algorithm for multi-area economic dispatch. IEEE Trans Power Syst, 35(2):986–996. https://doi.org/10.1109/TPWRS.2019.2943344
Shuai H, Fang JK, Ai XM, et al., 2019. Stochastic optimization of economic dispatch for microgrid based on approximate dynamic programming. IEEE Trans Smart Grid, 10(3):2440–2452. https://doi.org/10.1109/TSG.2018.2798039
Tan CH, Xu J, Tan YS, et al., 2019. Lagrangian relaxation with incremental proximal method for economic dispatch with large numbers of wind power scenarios. IEEE Trans Power Syst, 34(4):2685–2695. https://doi.org/10.1109/TPWRS.2019.2891227
Wang AP, Mu BX, Shi Y, 2019. Event-triggered consensus control for multiagent systems with time-varying communication and event-detecting delays. IEEE Trans Contr Syst Technol, 27(2):507–515. https://doi.org/10.1109/TCST.2017.2773537
Wang R, Li QQ, Li GG, et al., 2020. A gossip-based distributed algorithm for economic dispatch in smart grids with random communication link failures. IEEE Trans Ind Electron, 67(6):4635–4645. https://doi.org/10.1109/TIE.2019.2924877
Wu L, 2019. A transformation-based multi-area dynamic economic dispatch approach for preserving information privacy of individual areas. IEEE Trans Smart Grid, 10(1):722–731. https://doi.org/10.1109/TSG.2017.2751479
Xing H, Mou YT, Fu MY, et al., 2015. Distributed bisection method for economic power dispatch in smart grid. IEEE Trans Power Syst, 30(6):3024–3035. https://doi.org/10.1109/TPWRS.2014.2376935
Yan HC, Hu CY, Zhang H, et al., 2019. H∞ output tracking control for networked systems with adaptively adjusted event-triggered scheme. IEEE Trans Syst Man Cybern Syst, 49(10):2050–2058. https://doi.org/10.1109/TSMC.2017.2788187
Yan HC, Wang JN, Zhang H, et al., 2020. Event-based security control for stochastic networked systems subject to attacks. IEEE Trans Syst Man Cybern Syst, 50(11):4643–4654. https://doi.org/10.1109/TSMC.2018.2856819
Zhang ZJ, Yue D, Dou CX, et al., 2019. A robust consensus-based economic dispatch strategy under DoS attack. IEEE Int Conf on Industrial Cyber Physical Systems, p.127–132. https://doi.org/10.1109/ICPHYS.2019.8780286
Zhao CC, He JP, Cheng P, et al., 2017. Analysis of consensus-based distributed economic dispatch under stealthy attacks. IEEE Trans Ind Electron, 64(6):5107–5117. https://doi.org/10.1109/TIE.2016.2638400
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Project supported by the National Natural Science Foundation of China (No. 62073269), the China Postdoctoral Science Foundation (No. 2018M643661), and the Natural Science Basic Research Plan in Shaanxi Province of China (No. 2018JQ60330)
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Feisheng YANG designed the research. Feisheng YANG, Xiaohong GUAN, and Xuhui LIANG processed the data. Feisheng YANG drafted the manuscript. Feisheng YANG and Xuhui LIANG revised and finalized the paper.
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Feisheng YANG, Xuhui LIANG, and Xiaohong GUAN declare that they have no conflict of interest.
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Yang, F., Liang, X. & Guan, X. Resilient distributed economic dispatch of a cyber-power system under DoS attack. Front Inform Technol Electron Eng 22, 40–50 (2021). https://doi.org/10.1631/FITEE.2000201
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DOI: https://doi.org/10.1631/FITEE.2000201
Key words
- Economic dispatch
- Denial of service (DoS) attack
- Resilient event-triggered scheme
- Distributed optimization