Authors

Mahmood Jamali, Mahdieh S. Sadabadi

Abstract

This paper focuses on the problem of resilient phase angle stabilization and frequency synchronization in converter-based microgrids, utilizing phasor measurement units (PMUs), in the presence of false data injection (FDI) cyberattacks. The uniformly bounded cyber-attack signals are inserted to desynchronize converters and violate frequency constraints by manipulating control input channels. To tackle this issue, a resilient and robust cooperative angular control scheme is proposed by modifying the conventional angular control method and incorporating some auxiliary states interconnecting with physical states. By presenting the converter dynamics along with the proposed controller as a port-Hamiltonian (pH) system, the design considerations of the interconnection matrices are outlined. Theoretical analysis using input-output passivity and \( H_{\infty} \) norm performance index are carried out to guarantee asymptotic stability and resilient frequency synchronization against FDI attacks. The performance and effectiveness of the proposed control scheme are evaluated through numerical simulations

Citation

BibTeX

@inproceedings{Jamali_2023,
  title={{Resilient Angle Stabilization in Converter-Interfaced Microgrids}},
  DOI={10.23919/ecc57647.2023.10178328},
  booktitle={{2023 European Control Conference (ECC)}},
  publisher={IEEE},
  author={Jamali, Mahmood and Sadabadi, Mahdieh S.},
  year={2023},
  pages={1--6}
}

Download the bib file

References

  • Kolluri, R. R. et al. Power Sharing in Angle Droop Controlled Microgrids. IEEE Transactions on Power Systems vol. 32 4743–4751 (2017) – 10.1109/tpwrs.2017.2672569
  • Moussa, H., Shahin, A., Martin, J.-P., Pierfederici, S. & Moubayed, N. Optimal Angle Droop for Power Sharing Enhancement With Stability Improvement in Islanded Microgrids. IEEE Transactions on Smart Grid vol. 9 5014–5026 (2018) – 10.1109/tsg.2017.2678686
  • Sahoo, S., Yang, Y. & Blaabjerg, F. Resilient Synchronization Strategy for AC Microgrids Under Cyber Attacks. IEEE Transactions on Power Electronics vol. 36 73–77 (2021) – 10.1109/tpel.2020.3005208
  • van der Schaft, A. & Jeltsema, D. Port-Hamiltonian Systems Theory: An Introductory Overview. Foundations and Trends® in Systems and Control vol. 1 173–378 (2014) – 10.1561/2600000002
  • Majumder, R., Ledwich, G., Ghosh, A., Chakrabarti, S. & Zare, F. Droop Control of Converter-Interfaced Microsources in Rural Distributed Generation. IEEE Transactions on Power Delivery vol. 25 2768–2778 (2010) – 10.1109/tpwrd.2010.2042974
  • Ramos-Ruiz, J. A., Enjeti, P. & Xie, L. Peer-to-peer Energy Transaction in Microgrids with Power Electronics Enabled Angle Droop Control. 2018 IEEE Electronic Power Grid (eGrid) 1–6 (2018) doi:10.1109/egrid.2018.8598671 – 10.1109/egrid.2018.8598671
  • Tayyebi, A., Anta, A. & Dorfler, F. Grid-Forming Hybrid Angle Control and Almost Global Stability of the DC-AC Power Converter. IEEE Transactions on Automatic Control 1–16 (2022) doi:10.1109/tac.2022.3193953 – 10.1109/tac.2022.3193953
  • Sadabadi, M. S., Shafiee, Q. & Karimi, A. Plug-and-Play Voltage Stabilization in Inverter-Interfaced Microgrids via a Robust Control Strategy. IEEE Transactions on Control Systems Technology vol. 25 781–791 (2017) – 10.1109/tcst.2016.2583378
  • Dorfler, F., Simpson-Porco, J. W. & Bullo, F. Breaking the Hierarchy: Distributed Control and Economic Optimality in Microgrids. IEEE Transactions on Control of Network Systems vol. 3 241–253 (2016) – 10.1109/tcns.2015.2459391
  • bullo, Lectures on Network Systems (2020)
  • Horn, R. A. & Johnson, C. R. Matrix Analysis. (2012) doi:10.1017/cbo9781139020411 – 10.1017/cbo9781139020411
  • Pirani, M., Simpson-Porco, J. W. & Fidan, B. System-theoretic performance metrics for low-inertia stability of power networks. 2017 IEEE 56th Annual Conference on Decision and Control (CDC) 5106–5111 (2017) doi:10.1109/cdc.2017.8264415 – 10.1109/cdc.2017.8264415
  • Majumder, R., Ghosh, A., Ledwich, G. & Zare, F. Angle droop versus frequency droop in a voltage source converter based autonomous microgrid. 2009 IEEE Power & Energy Society General Meeting 1–8 (2009) doi:10.1109/pes.2009.5275987 – 10.1109/pes.2009.5275987
  • Jamali, M., Baghaee, H. R., Sadabadi, M. S., Gharehpetian, G. B. & Anvari-Moghaddam, A. Distributed Cooperative Event-Triggered Control of Cyber-Physical AC Microgrids Subject to Denial-of-Service Attacks. IEEE Transactions on Smart Grid vol. 14 4467–4478 (2023) – 10.1109/tsg.2023.3259545
  • Majumder, R. et al. Improvement of Stability and Load Sharing in an Autonomous Microgrid Using Supplementary Droop Control Loop. IEEE Transactions on Power Systems vol. 25 796–808 (2010) – 10.1109/tpwrs.2009.2032049
  • jouini, Inverse optimal control for angle stabilization in converters-based generation. arXiv preprint arXiv 2101 11517 (2021)
  • Poolla, B. K., Gros, D. & Dorfler, F. Placement and Implementation of Grid-Forming and Grid-Following Virtual Inertia and Fast Frequency Response. IEEE Transactions on Power Systems vol. 34 3035–3046 (2019) – 10.1109/tpwrs.2019.2892290
  • Jamali, M. et al. Distributed Finite-Time Fault-Tolerant Control of Isolated AC Microgrids Considering Input Constraints. IEEE Transactions on Smart Grid vol. 13 4525–4537 (2022) – 10.1109/tsg.2022.3188199
  • Zhang, Y. & Xie, L. A Transient Stability Assessment Framework in Power Electronic-Interfaced Distribution Systems. IEEE Transactions on Power Systems vol. 31 5106–5114 (2016) – 10.1109/tpwrs.2016.2531745