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IEEE/CAA Journal of Automatica Sinica

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Y. Zhang, Z. Liu, and Z. Chen, “A PI+R control scheme based on multi-agent systems for economic dispatch in isolated BESSs,” IEEE/CAA J. Autom. Sinica, 2024. doi: 10.1109/JAS.2024.124236
Citation: Y. Zhang, Z. Liu, and Z. Chen, “A PI+R control scheme based on multi-agent systems for economic dispatch in isolated BESSs,” IEEE/CAA J. Autom. Sinica, 2024. doi: 10.1109/JAS.2024.124236

A PI+R Control Scheme Based on Multi-Agent Systems for Economic Dispatch in Isolated BESSs

doi: 10.1109/JAS.2024.124236
Funds:  This work was supported by the National Natural Science Foundation of China (62103203) and the General Terminal IC Interdisciplinary Science Center of Nankai University
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  • Battery energy storage systems (BESSs) are widely used in smart grids. However, power consumed by inner impedances and the capacity degradation of each battery unit become particularly severe, which has resulted in an increase in operating costs. The general economic dispatch (ED) algorithm based on marginal cost (MC) consensus is usually a proportional (P) controller, which encounters the defects of slow convergence speed and low control accuracy. In order to solve the distributed ED problem of the isolated BESS network with excellent dynamic and steady-state performance, we attempt to design a proportional integral (PI) controller with a reset mechanism (PI+R) to asymptotically promote MC consensus and total power mismatch towards 0 in this paper. To be frank, the integral term in the PI controller is reset to 0 at an appropriate time when the proportional term undergoes a zero crossing, which accelerates convergence, improves control accuracy, and avoids overshoot. The eigenvalues of the system under a PI+R controller is well analyzed, ensuring the regularity of the system and enabling the reset mechanism. To ensure supply and demand balance within the isolated BESSs, a centralized reset mechanism is introduced, so that the controller is distributed in a flow set and centralized in a jump set. To cope with Zeno behavior and input delay, a dwell time that the system resides in a flow set is given. Based on this, the system with input delays can be reduced to a time-delay free system. Considering the capacity limitation of the battery, a modified MC scheme with PI+R controller is designed. The correctness of the designed scheme is verified through relevant simulations.

     

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  • [1]
    P. Yong, A. Botterud, N. Zhang, and C. Kang, “Capacity value of uninterruptible power supply storage,” IEEE Trans. Power Systems, vol. 38, no. 2, pp. 1763–1766, Mar. 2023. doi: 10.1109/TPWRS.2022.3233773
    [2]
    W. Wang, B. Yuan, Q. Sun, and R. Wennersten, “Application of energy storage in integrated energy systems — A solution to fluctuation and uncertainty of renewable energy,” Journal of Energy Storage, vol. 52, p. 104812, Aug. 2022. doi: 10.1016/j.est.2022.104812
    [3]
    D. Solyali, B. Safaei, O. Zargar, and G. Aytac, “A comprehensive state-of-the-art review of electrochemical battery storage systems for power grids,” Int. Journal of Energy Research, vol. 46, no. 13, pp. 17 786–17 812, Oct. 2022. doi: 10.1002/er.8451
    [4]
    Y. Duan, X. He, and Y. Zhao, “Distributed algorithm based on consensus control strategy for dynamic economic dispatch problem,” Int. Journal of Electrical Power &Energy Systems, vol. 129, p. 106833, Jul. 2021.
    [5]
    C. Ghanjati and S. Tnani, “Optimal sizing and energy management of a stand-alone photovoltaic/pumped storage hydropower/battery hybrid system using genetic algorithm for reducing cost and increasing reliability,” Energy &Environment, vol. 34, no. 6, pp. 2186–2203, Jul. 2022.
    [6]
    Y. Yang, S. Bremner, C. Menictas, and M. Kay, “Modelling and optimal energy management for battery energy storage systems in renewable energy systems: A review,” Renewable and Sustainable Energy Reviews, vol. 167, p. 112671, Oct. 2022. doi: 10.1016/j.rser.2022.112671
    [7]
    M. Rouholamini, C. Wang, H. Nehrir, X. Hu, Z. Hu, H. Aki, B. Zhao, Z. Miao, and K. Strunz, “A review of modeling, management, and applications of grid-connected li-ion battery storage systems,” IEEE Trans. Smart Grid, vol. 13, no. 6, pp. 4505–4524, Nov. 2022. doi: 10.1109/TSG.2022.3188598
    [8]
    M. Wang, Y. Su, L. Chen, Z. Li, and S. Mei, “Distributed optimal power flow of DC microgrids: A penalty based ADMM approach,” CSEE Journal of Power and Energy Systems, vol. 7, no. 2, pp. 339–347, Mar. 2021.
    [9]
    W. Li, Y. Liu, H. Liang, and Y. Shen, “A new distributed energy management strategy for smart grid with stochastic wind power,” IEEE Trans. Industrial Electronics, vol. 68, no. 2, pp. 1311–1321, Feb. 2021. doi: 10.1109/TIE.2020.2970627
    [10]
    M. H. Hassan, E. H. Houssein, M. A. Mahdy, and S. Kamel, “An improved manta ray foraging optimizer for cost-effective emission dispatch problems,” Engineering Applications of Artificial Intelligence, vol. 100, p. 104155, Apr. 2021. doi: 10.1016/j.engappai.2021.104155
    [11]
    L. Wang, X. An, H. Xu, and Y. Zhang, “Multi-agent-based collaborative regulation optimization for microgrid economic dispatch under a time-based price mechanism,” Electric Power Systems Research, vol. 213, p. 108760, Dec. 2022. doi: 10.1016/j.jpgr.2022.108760
    [12]
    M. H. Ullah, B. Babaiahgari, A. Alseyat, and J.-D. Park, “A computationally efficient consensus-based multiagent distributed ems for DC microgrids,” IEEE Trans. Industrial Electronics, vol. 68, no. 6, pp. 5425–5435, Jun. 2021. doi: 10.1109/TIE.2020.2992015
    [13]
    A. Wang, W. Liu, T. Dong, X. Liao, and T. Huang, “DisEHPPC: Enabling heterogeneous privacy-preserving consensus-based scheme for economic dispatch in smart grids,” IEEE Trans. Cybernetics, vol. 52, no. 6, pp. 5124–5135, Jun. 2022. doi: 10.1109/TCYB.2020.3027572
    [14]
    X. Li, C. Dong, W. Jiang, and X. Wu, “Distributed control strategy for global economic operation and bus restorations in a hybrid AC/DC microgrid with interconnected subgrids,” Int. Journal of Electrical Power &Energy Systems, vol. 131, p. 107032, Oct. 2021.
    [15]
    J. Peng, B. Fan, Z. Tu, W. Zhang, and W. Liu, “Distributed periodic event-triggered optimal control of DC microgrids based on virtual incremental cost,” IEEE/CAA Journal of Automatica Sinica, vol. 9, no. 4, pp. 624–634, Apr. 2022. doi: 10.1109/JAS.2022.105452
    [16]
    W. Chen and T. Li, “Distributed economic dispatch for energy internet based on multiagent consensus control,” IEEE Trans. Automatic Control, vol. 66, no. 1, pp. 137–152, Jan. 2021. doi: 10.1109/TAC.2020.2979749
    [17]
    S. Song, R. A. McCann, and G. Jang, “Cost-based adaptive droop control strategy for VSC-MTDC system,” IEEE Trans. Power Systems, vol. 36, no. 1, pp. 659–669, Jan. 2021. doi: 10.1109/TPWRS.2020.3003589
    [18]
    S. Sahoo and J. C.-H. Peng, “A localized event-driven resilient mechanism for cooperative microgrid against data integrity attacks,” IEEE Trans. Cybernetics, vol. 51, no. 7, pp. 3687–3698, Jul. 2021. doi: 10.1109/TCYB.2020.2989225
    [19]
    M. Zaery, P. Wang, W. Wang, and D. Xu, “A novel fully distributed fixed-time optimal dispatch of DC multi-microgrids,” Int. Journal of Electrical Power &Energy Systems, vol. 129, p. 106792, Jul. 2021.
    [20]
    Robert and R. Shoults, Power Generation, Operation, and Control. Wiley-Blackwell, Jul. 2013.
    [21]
    Z. Tan, T. Cheng, Y. Liu, and H. Zhong, “Extensions of the locational marginal price theory in evolving power systems: A review,” IET Generation,Transmission &Distribution, vol. 16, no. 7, pp. 1277–1291, Apr. 2022.
    [22]
    C. Yu, H. Zhou, X. Lu, and J. Lai, “Frequency synchronization and power optimization for microgrids with battery energy storage systems,” IEEE Trans. Control Systems Technology, vol. 29, no. 5, pp. 2247–2254, Sept. 2021. doi: 10.1109/TCST.2020.3025606
    [23]
    D. Zhao, C. Zhang, X. Cao, C. Peng, B. Sun, K. Li, and Y. Li, “Differential privacy energy management for islanded microgrids with distributed consensus-based admm algorithm,” IEEE Trans. Control Systems Technology, vol. 31, no. 3, pp. 1018–1031, May 2022.
    [24]
    S. Chen, Q. Gong, X. Lu, and J. Lai, “Distributed cooperative control for economic dispatch and SoC balance in DC microgrids with vanadium redox batteries,” Sustainable Energy,Grids and Networks, vol. 28, p. 100534, Dec. 2021. doi: 10.1016/j.segan.2021.100534
    [25]
    R. Jin, C. Lu, and J. Song, “Manage distributed energy storage charging and discharging strategy: Models and algorithms,” IEEE Trans. Engineering Management, vol. 69, no. 3, pp. 755–764, Jun. 2022. doi: 10.1109/TEM.2020.3003306
    [26]
    A. Banos and A. Barreiro, Reset Control Systems. Springer London Ltd, Oct. 2011.
    [27]
    W. Hu, Y. Cheng, and Z. Chen, “Reset control for consensus of double-integrator multi-agent systems,” Automatica, vol. 136, p. 110057, Feb. 2022. doi: 10.1016/j.automatica.2021.110057
    [28]
    X. Meng, L. Xie, and Y. C. Soh, “Reset control for synchronization of multi-agent systems,” Automatica, vol. 104, pp. 189–195, Jun. 2019. doi: 10.1016/j.automatica.2019.02.042
    [29]
    Y. Zhang, Z. Liu, and Z. Chen, “A marginal cost consensus scheme with reset mechanism for distributed economic dispatch in BESSs,” IEEE Trans. Smart Grid, pp. 1–1, 2023.
    [30]
    M. S. Hossain Lipu, S. Ansari, M. S. Miah, K. Hasan, S. T. Meraj, M. Faisal, T. Jamal, S. H. M. Ali, A. Hussain, K. M. Muttaqi, and M. A. Hannan, “A review of controllers and optimizations based scheduling operation for battery energy storage system towards decarbonization in microgrid: Challenges and future directions,” Journal of Cleaner Production, vol. 360, p. 132188, Aug. 2022. doi: 10.1016/j.jclepro.2022.132188
    [31]
    Z. Lin, B. Francis, and M. Maggiore, “Necessary and sufficient graphical conditions for formation control of unicycles,” IEEE Trans. Automatic Control, vol. 50, no. 1, pp. 121–127, Jan. 2005. doi: 10.1109/TAC.2004.841121
    [32]
    J. C. Clegg, “A nonlinear integrator for servomechanisms,” Transactions of the American Institute of Electrical Engineers,Part II: Applications and Industry, vol. 77, no. 1, pp. 41–42, Mar. 1958. doi: 10.1109/TAI.1958.6367399
    [33]
    R. Zhang and B. Hredzak, “Distributed finite-time multiagent control for DC microgrids with time delays,” IEEE Trans. Smart Grid, vol. 10, no. 3, pp. 2692–2701, May 2019. doi: 10.1109/TSG.2018.2808467
    [34]
    Z. Artstein, “Linear systems with delayed controls: A reduction,” IEEE Trans. Automatic Control, vol. 27, no. 4, pp. 869–879, Aug. 1982. doi: 10.1109/TAC.1982.1103023
    [35]
    G. Chen and Z. Zhao, “Delay effects on consensus-based distributed economic dispatch algorithm in microgrid,” IEEE Trans. Power Systems, vol. 33, no. 1, pp. 602–612, Jan. 2018. doi: 10.1109/TPWRS.2017.2702179

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