Robust Tuning of Grid-Forming Converters Using Kharitonov Theorem

Sharara Rehimi, Hassan Bevrani, Chiyori Urabe, Takeyoshi Kato and Toshiji Kato

References:

1. F. Blaabjerg, Y. Yang, K. A. Kim, and J. Rodriguez, "Power electronics technology for large-scale renewable energy generation," Proceedings of the IEEE, vol. 111, no. 4, pp. 335-355, Mar. 2023.
2. H. Bevrani et al., "Grid Connected Converters, Modeling, Stability and Control," Elsevier, Radarweg 29, PO Box 211, 1000 AE Amsterdam, Netherlands, 2022.
3. H. Bevrani, "Robust Power System Frequency Control," 2nd ed., J. H. Chow, A. M. Stankovic, and D. Hill, Eds. Springer, Cham Heidelberg New York Dordrecht London, 2014.
4. B. R. Barmish, "New Tools for Robustness of Linear Systems," Macmillan Coll Div, 1993.
5. A. Olshevsky and V. Olshevsky, "Kharitonov’s Theorem and Bezoutians," Linear Algebra and its Applications, vol. 399, pp. 285-297, 2005.
6. D. G. Padhan and S. Majhi, "Enhanced cascade control for a class of integrating processes with time delay," ISA Trans, vol. 52, no. 1, pp. 45-55, 2013.
7. R. Toscano and P. Lyonnet, "Robust static output feedback controller synthesis using Kharitonov’s theorem and evolutionary algorithms," Information Sciences, vol. 180, no. 10, pp. 2023-2028, 2010.
8. M. R. Toulabi, M. Shiroei, and A. M. Ranjbar, "Robust analysis and design of power system load frequency control using the Kharitonov's theorem," International Journal of Electrical Power & Energy Systems, vol. 55, pp. 51-58, 2014.
9. S. Sondhi and Y. V. Hote, "Fractional order PID controller for perturbed load frequency control using Kharitonov’s theorem," International Journal of Electrical Power & Energy Systems, vol. 78, pp. 884-896, 2016.
10. M. Ayman and M. Soliman, "Robust multi-objective PSSs design via complex Kharitonov's theorem," European Journal of Control, vol. 58, pp. 131-142, 2021.
11. K. Sharma, A. K. Yadav, and B. B. Sharma, "Kharitonov theorem-based robust control approach for sustainable microgrid against DoS cyber-attack," Digital Chemical Engineering, 2023, 7.
12. N. M. Dehkordi, N. Sadati, and M. Hamzeh, "Robust tuning of transient droop gains based on Kharitonov's stability theorem in droop‐controlled microgrids," IET Generation, Transmission & Distribution, vol. 12, no. 14, pp. 3495-3501, 2018.
13. N. Ravikumar and G. Saraswathi, "Robust Controller Design for Speed Regulation of a Wind Turbine using 16-Plant Theorem Approach," EAI Endorsed Transactions on Energy Web, vol. 6, no. 24, 2019.
14. S. R. Potturu and R. Prasad, "Model Order Reduction of LTI Interval Systems Using Differentiation Method Based on Kharitonov’s Theorem," IETE Journal of Research, vol. 68, no. 3, pp. 2079-2095, 2019.