Stability Analysis of Multi-Converter Power Systems with Angle Feedback

Authors

Alejandro Garcés, Sofía Avila-Becerril, Gerardo Espinosa-Pérez

Abstract

This paper presents a stability analysis for inverter-based renewable resources in multi-converter power systems. Stability conditions are obtained based on the port-Hamiltonian structure of the droop control in grid-forming converters. We show that conventional grid-forming converters have a port-Hamiltonian structure in the multi-converter power system. A simple and direct estimation of the region of attraction is obtained. In addition, we proposed droop control with an angle feedback that ties two converters in order to improve transient response. This control maintains the port-Hamiltonian structure and hence the stability properties of the conventional droop. Numerical experiments show the accuracy of the model and the superior performance of the proposed control.

Keywords

Stability analysis; inverter-based renewable resources; port-Hamiltonian systems; droop control; multi-converter power system

Citation

• Journal: IFAC-PapersOnLine
• Year: 2023
• Volume: 56
• Issue: 2
• Pages: 2293–2298
• Publisher: Elsevier BV
• DOI: 10.1016/j.ifacol.2023.10.1196
• Note: 22nd IFAC World Congress- Yokohama, Japan, July 9-14, 2023

BibTeX

@article{Garc_s_2023,
  title={{Stability Analysis of Multi-Converter Power Systems with Angle Feedback}},
  volume={56},
  ISSN={2405-8963},
  DOI={10.1016/j.ifacol.2023.10.1196},
  number={2},
  journal={IFAC-PapersOnLine},
  publisher={Elsevier BV},
  author={Garcés, Alejandro and Avila-Becerril, Sofía and Espinosa-Pérez, Gerardo},
  year={2023},
  pages={2293--2298}
}

Download the bib file

References

• Maruf, Small-signal voltage stability analysis for droop controlled inverter-based microgrids: an algebraic graph theory perspective. (2021)
• Chen, M. et al. Generalized Multivariable Grid-Forming Control Design for Power Converters. IEEE Transactions on Smart Grid vol. 13 2873–2885 (2022) – 10.1109/tsg.2022.3161608
• D’Arco, S. & Suul, J. A. Equivalence of Virtual Synchronous Machines and Frequency-Droops for Converter-Based MicroGrids. IEEE Transactions on Smart Grid vol. 5 394–395 (2014) – 10.1109/tsg.2013.2288000
• Dorfler, F. & Bullo, F. Kron Reduction of Graphs With Applications to Electrical Networks. IEEE Transactions on Circuits and Systems I: Regular Papers vol. 60 150–163 (2013) – 10.1109/tcsi.2012.2215780
• Dragicevic, T., Vazquez, S. & Wheeler, P. Advanced Control Methods for Power Converters in DG Systems and Microgrids. IEEE Transactions on Industrial Electronics vol. 68 5847–5862 (2021) – 10.1109/tie.2020.2994857
• Eberlein, S. & Rudion, K. Small-signal stability modelling, sensitivity analysis and optimization of droop controlled inverters in LV microgrids. International Journal of Electrical Power & Energy Systems vol. 125 106404 (2021) – 10.1016/j.ijepes.2020.106404
• Lasseter, R. H., Chen, Z. & Pattabiraman, D. Grid-Forming Inverters: A Critical Asset for the Power Grid. IEEE Journal of Emerging and Selected Topics in Power Electronics vol. 8 925–935 (2020) – 10.1109/jestpe.2019.2959271
• Milano, Foundations and challenges of low-inertia systems (invited paper). (2018)
• Rashad, R., Califano, F., van der Schaft, A. J. & Stramigioli, S. Twenty years of distributed port-Hamiltonian systems: a literature review. IMA Journal of Mathematical Control and Information vol. 37 1400–1422 (2020) – 10.1093/imamci/dnaa018
• Schiffer, J., Ortega, R., Astolfi, A., Raisch, J. & Sezi, T. Conditions for stability of droop-controlled inverter-based microgrids. Automatica vol. 50 2457–2469 (2014) – 10.1016/j.automatica.2014.08.009
• Shivakumar, P. N., Williams, J. J., Ye, Q. & Marinov, C. A. On Two-Sided Bounds Related to Weakly Diagonally Dominant M-Matrices with Application to Digital Circuit Dynamics. SIAM Journal on Matrix Analysis and Applications vol. 17 298–312 (1996) – 10.1137/s0895479894276370
• Simpson-Porco, J. W., Dörfler, F. & Bullo, F. Synchronization and power sharing for droop-controlled inverters in islanded microgrids. Automatica vol. 49 2603–2611 (2013) – 10.1016/j.automatica.2013.05.018
• Sun, Y. et al. New Perspectives on Droop Control in AC Microgrid. IEEE Transactions on Industrial Electronics vol. 64 5741–5745 (2017) – 10.1109/tie.2017.2677328
• Tielens, P. & Van Hertem, D. The relevance of inertia in power systems. Renewable and Sustainable Energy Reviews vol. 55 999–1009 (2016) – 10.1016/j.rser.2015.11.016
• Vittal, (2019)