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Small-signal stability and robustness analysis for microgrids under time-constrained DoS attacks and a mitigation adaptive secondary control method

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Abstract

With the close integration of cyber and power systems, the consensus-based secondary frequency control in a microgrid is increasingly vulnerable to communication failures such as transmission delays and denial-of-service (DoS) attacks, which can affect the efficiency of frequency recovery in the secondary frequency control. Leveraging the small-signal model, this paper develops a novel cyber-physical system model to analyze the cross-layer effect of DoS attacks on microgrids. In this way, the cross-layer impact on the microgrid from the cyber system to the physical system can be convincingly analyzed. Based on the root approximation method, the tolerant saving time is designed for the microgrid as the index to evaluate the tolerance margin of the time-constrained DoS attack, and then the relationship between the margin and secondary control coefficients is found. A mitigation adaptive secondary control technique is proposed so that the attacked microgrid can dynamically tune the secondary control gain according to the saving time and tolerant saving time (TST). The simulation results show that although the microgrid with high secondary control gain has good dynamic robustness, its TST is low. In addition, the proposed adaptive secondary control system is significantly better than the traditional control system in terms of the stability performance of the microgrid under a DoS attack.

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References

  1. Kashem S B A, de Souza S, Iqbal A, et al. Microgrid in military applications. In: Proceedings of IEEE 12th International Conference on Compatibility, Power Electronics and Power Engineering, Doha, 2018. 1–5

  2. Sun Q Y, Han R K, Zhang H G, et al. A multiagent-based consensus algorithm for distributed coordinated control of distributed generators in the energy internet. IEEE Trans Smart Grid, 2015, 6: 3006–3019

    Article  Google Scholar 

  3. Du D J, Li X, Li W T, et al. ADMM-based distributed state estimation of smart grid under data deception and denial of service attacks. IEEE Trans Syst Man Cybern Syst, 2019, 49: 1698–1711

    Article  Google Scholar 

  4. Danzi P, Stefanovic C, Meng L, et al. On the impact of wireless jamming on the distributed secondary microgrid control. In: Proceedings of IEEE GlobeCom Workshops (GC Wkshps), Washington, 2016. 1–6

  5. Ye H, Liu K H, Mou Q Y, et al. Modeling and formulation of delayed cyber-physical power system for small-signal stability analysis and control. IEEE Trans Power Syst, 2019, 34: 2419–2432

    Article  Google Scholar 

  6. Wang R, Sun Q Y, Ma D Z, et al. The small-signal stability analysis of the droop-controlled converter in electromagnetic timescale. IEEE Trans Sustain Energy, 2019, 10: 1459–1469

    Article  Google Scholar 

  7. Wang B Y, Sun Q Y, Han R K, et al. Consensus-based secondary frequency control under denial-of-service attacks of distributed generations for microgrids. J Franklin Institute, 2021, 358: 114–130

    Article  MathSciNet  MATH  Google Scholar 

  8. Long M, Wu C H, Hung J Y. Denial of service attacks on network-based control systems: impact and mitigation. IEEE Trans Ind Inf, 2005, 1: 85–96

    Article  Google Scholar 

  9. Wu J, Chen T W. Design of networked control systems with packet dropouts. IEEE Trans Automat Contr, 2007, 52: 1314–1319

    Article  MathSciNet  MATH  Google Scholar 

  10. Beg O A, Johnson T T, Davoudi A. Detection of false-data injection attacks in cyber-physical DC microgrids. IEEE Trans Ind Inf, 2017, 13: 2693–2703

    Article  Google Scholar 

  11. Foroush H S, Martinez S. On event-triggered control of linear systems under periodic denial-of-service jamming attacks. In: Proceedings of IEEE 51st Annual Conference on Decision & Control, Maui, 2012. 2551–2556

  12. de Persis C, Tesi P. Input-to-state stabilizing control under denial-of-service. IEEE Trans Automat Contr, 2015, 60: 2930–2944

    Article  MathSciNet  MATH  Google Scholar 

  13. Liu S C, Hu Z J, Wang X Y, et al. Stochastic stability analysis and control of secondary frequency regulation for islanded microgrids under random denial of service attacks. IEEE Trans Ind Inf, 2019, 15: 4066–4075

    Article  Google Scholar 

  14. Qin J H, Li M L, Shi L, et al. Optimal denial-of-service attack scheduling with energy constraint over packet-dropping networks. IEEE Trans Automat Contr, 2018, 63: 1648–1663

    Article  MathSciNet  MATH  Google Scholar 

  15. Lu A Y, Yang G H. Input-to-state stabilizing control for cyber-physical systems with multiple transmission channels under denial of service. IEEE Trans Automat Contr, 2018, 63: 1813–1820

    Article  MathSciNet  MATH  Google Scholar 

  16. Milano F, Anghel M. Impact of time delays on power system stability. IEEE Trans Circuits Syst I, 2012, 59: 889–900

    Article  MathSciNet  MATH  Google Scholar 

  17. Liu S C, Wang X Y, Liu P X. Impact of communication delays on secondary frequency control in an islanded microgrid. IEEE Trans Ind Electron, 2015, 62: 2021–2031

    Article  Google Scholar 

  18. Dong C Y, Jia H J, Xu Q W, et al. Time-delay stability analysis for hybrid energy storage system with hierarchical control in DC microgrids. IEEE Trans Smart Grid, 2018, 9: 6633–6645

    Article  Google Scholar 

  19. Lou G N, Gu W, Xu Y L, et al. Stability robustness for secondary voltage control in autonomous microgrids with consideration of communication delays. IEEE Trans Power Syst, 2018, 33: 4164–4178

    Article  Google Scholar 

  20. Xu L, Guo Q L, Wang Z G, et al. Modeling of time-delayed distributed cyber-physical power systems for small-signal stability analysis. IEEE Trans Smart Grid, 2021, 12: 3425–3437

    Article  Google Scholar 

  21. Zhou J G, Sun H B, Xu Y L, et al. Distributed power sharing control for islanded single-/three-phase microgrids with admissible voltage and energy storage constraints. IEEE Transactions on Smart Grid, 2021, 14: 2760–2775

    Article  Google Scholar 

  22. Guerrero J M, Vasquez J C, Matas J, et al. Hierarchical control of droop-controlled AC and DC microgrids-a general approach toward standardization. IEEE Trans Ind Electron, 2011, 58: 158–172

    Article  Google Scholar 

  23. Simpson-Porco J W, Dörfler F, Bullo F. Synchronization and power sharing for droop-controlled inverters in islanded microgrids. Automatica, 2013, 49: 2603–2611

    Article  MathSciNet  MATH  Google Scholar 

  24. Guo F H, Wen C Y, Mao J F, et al. Distributed secondary voltage and frequency restoration control of droop-controlled inverter-based microgrids. IEEE Trans Ind Electron, 2015, 62: 4355–4364

    Article  Google Scholar 

  25. Saadat H. Power System Analysis. Hoboken: Wiley, 2002

    Google Scholar 

  26. Mumtaz F, Syed M H, Hosani M A, et al. A novel approach to solve power flow for islanded microgrids using modified Newton Raphson with droop control of DG. IEEE Trans Sustain Energy, 2016, 7: 493–503

    Article  Google Scholar 

  27. Breda D. Solution operator approximations for characteristic roots of delay differential equations. Appl Numer Math, 2006, 56: 305–317

    Article  MathSciNet  MATH  Google Scholar 

  28. Wu Y, Guerrero J M, Wu Y P. Distributed coordination control for suppressing circulating current in parallel inverters of islanded microgrid. IET Gener Transm Distrib, 2019, 13: 968–975

    Article  Google Scholar 

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Acknowledgements

This work was supported by National Key Research and Development Program of China (Grant No. 2018YFA0702200) and National Natural Science Key Foundation of China (Grant No. U20A20190).

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Authors and Affiliations

  1. College of Information Science and Engineering, Northeastern University, Shenyang, 110819, China

    Qiuye Sun & Bingyu Wang

  2. School of Electronics and Computer Science, University of Southampton, Southampton, SO17 1BJ, UK

    Xiaomeng Feng & Shiyan Hu

Authors
  1. Qiuye Sun
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  2. Bingyu Wang
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  3. Xiaomeng Feng
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  4. Shiyan Hu
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Correspondence to Qiuye Sun.

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Sun, Q., Wang, B., Feng, X. et al. Small-signal stability and robustness analysis for microgrids under time-constrained DoS attacks and a mitigation adaptive secondary control method. Sci. China Inf. Sci. 65, 162202 (2022). https://doi.org/10.1007/s11432-021-3290-3

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  • DOI: https://doi.org/10.1007/s11432-021-3290-3

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