Dynamic Modeling and State Feedback Control for Enhancing Small Signal Stability in Islanded Microgrids with Diesel Generator Frequency Damping

Document Type : Research paper

Authors

1 Termez University of Economics and Service, Termez, Uzbekistan.

2 Scientific Research Center Scientific Foundations and Problems of the Development of the Economy of Uzbekistan under Tashkent State University of Economics, Tashkent, Uzbekistan.

3 Turin Polytechnic University in Tashkent, Tashkent, Uzbekistan.

4 Kattakurgan State Pedagogical Institute, Samarkand, Uzbekistan.

5 Tashkent State Technical University named after Islam Karimov, Tashkent, Uzbekistan.

6 Tashkent State University of Economics, Tashkent, Uzbekistan.

7 The Banking and Finance Academy of the Republic of Uzbekistan.

Abstract

Microgrids face significant challenges due to the stochastic behavior of distributed energy resources, which may excite low-damped oscillatory modes and compromise stability. This paper develops a unified small-signal model of an islanded microgrid and proposes a state-feedback controller (SFC) as a power system stabilizer (PSS) to enhance low-frequency damping in the diesel generator subsystem. The controller and inverter control parameters are tuned using a genetic algorithm (GA). Numerical results show that the proposed approach increases the damping ratio of the dominant electromechanical mode from 0.03 to 0.18 (a six-fold improvement) and reduces rotor-speed overshoot by nearly 60% under a 10% disturbance. Time-domain simulations further confirm a 70% reduction in settling time for rotor-angle deviations. These results demonstrate that the optimized SFC significantly improves electromechanical damping and strengthens the small-signal stability margin of the islanded microgrid.

Keywords

Main Subjects

References

  1. M. Rezaee, R. Fathi, and V. A. Maleki, “Dynamic analysis and uncertainty modeling of viscoelastic beam response to fluid stimulation: Insights into nonlinear effects and velocity uncertainties,” Appl. Ocean Res., vol. 157, p. 104487, 2025.
  2. E. Uchkun, M. Axmedovich, K. Boburmirzo, L. Tadjibaeva, S. Nasirova, D. Djonikulovna, and A. Azamat, “The impact of clean fuel technology in the transportation system to reduce pollution,” Procedia Environ. Sci. Eng. Manag., vol. 12, no. 1, pp. 81–88, 2025.
  3. M. Nasrabadi, A. V. Sevbitov, V. A. Maleki, N. Akbar, and I. Javanshir, “Passive fluid-induced vibration control of viscoelastic cylinder using nonlinear energy sink,” Mar. Struct., vol. 81, p. 103116, 2024.
  4. A. Nazori, G. Triyono, G. Brotosaputro, D. Mahdiana, and S. Solichin, “The use of artificial intelligence in the development of clean energy for the transportation industry,” Procedia Environ. Sci. Eng. Manag., vol. 11, pp. 27–36, 2024.
  5. N. Rehman, M. Mufti, and N. Gupta, “Power flow analysis in a distribution system penetrated with renewable energy sources: A review,” Int. J. Ambient Energy, vol. 45, no. 1, p. 2305701, 2024.
  6. L. Strezoski, “Advances in power and energy management for distribution systems with high penetration of distributed energy resources,” Energies, vol. 18, no. 3, pp. 723–732, 2025.
  7. P. Wang, H. Zhao, J. Luo, and V. Terzija, “Low-frequency impedance modeling of wind energy conversion system considering mechanical dynamics and operating regions,” J. Mod. Power Syst. Clean Energy, vol. 8, pp. 67–76, 2024.
  8. A. Nazori, G. Brotosaputro, S. Solichin, U. Budiyanto, and D. Mahdiana, “Design and implementation of fuzzy intelligent controller to manage energy resources in a greenhouse system,” Procedia Environ. Sci. Eng. Manag., vol. 11, no. 1, pp. 19–25, 2024.
  9. F. Al Sharari, O. Yemelyanov, Y. Dziurakh, O. Sokil, and O. Danylovych, “The energy-saving projects’ impact on the level of an enterprise’s financial stability,” Econ. Ann.-XXI, vol. 195, no. 1–2, pp. 36–49, 2022.
  10. M. Yadipour, F. Hashemzadeh, and M. Baradarannia, “A novel strategy to enlarge the domain of attraction of affine nonlinear systems,” Itogi Nauki Tekh. Sovrem. Mat. Prilozh. Temat. Obz., vol. 178, pp. 91–101, 2020.
  11. M. Yadipour, F. Hashemzadeh, and M. Baradarannia, “A novel strategy of extending the domain of attraction of affine nonlinear systems,” J. Math. Sci., vol. 276, no. 2, pp. 289–299, 2022.
  12. S. Nandanoori, S. Kundu, W. Du, F. K. Tuffner, and K. P.
    Schneider, “Distributed small-signal stability conditions for inverter-based unbalanced microgrids,” IEEE Trans. Power Syst., vol. 35, no. 5, pp. 3981–3990, 2020.
  13. H. Hosseinpour, M. MansourLakouraj, M. Benidris, and H. Livani, “Large-signal stability analysis of inverter-based AC microgrids: A critical and analytical review,” IEEE Access, vol. 11, pp. 111466–111491, 2023.
  14. I. Davoudkhani, P. Zare, A. Y. Abdelaziz, M. Bajaj, and M. B. Tuka, “Robust load-frequency control of islanded urban microgrid using 1pd-3dof-pid controller including mobile ev energy storage,” Sci. Rep., vol. 14, no. 1, p. 13962, 2024.
  15. A. Oshnoei, M. A. Azzouz, A. S. Awad, F. Blaabjerg, and A. Anvari-Moghaddam, “Adaptive damping control to enhance small-signal stability of DC microgrids,” IEEE J. Emerg. Sel. Top. Power Electron., vol. 11, no. 3, pp. 2963–2978, 2024.
  16. A. Krismanto, N. Mithulananthan, R. Shah, H. Setiadi, and M. R. Islam, “Small-signal stability and resonance perspectives in microgrid: A review,” Energies, vol. 16, no. 3, pp. 1017–1022, 2023.
  17. R. Sebastián, “Review on dynamic simulation of wind diesel isolated microgrids,” Energies, vol. 14, no. 7, pp. 1812–1823, 2023.
  18. A. Tang, X. Wu, T. Xu, Y. Hu, S. Long, and Q. Yu, “State of health estimation based on inconsistent evolution for lithium-ion battery module,” Energy, vol. 286, p. 129575, 2024.
  19. T. Kerdphol, F. S. Rahman, M. Watanabe, Y. Mitani, D. Turschner, and H.-P. Beck, “Enhanced virtual inertia control based on derivative technique to emulate simultaneous inertia and damping properties for microgrid frequency regulation,” IEEE Access, vol. 7, pp. 14422–14433, 2019.
  20. H. Ranjbar, M. Kazemi, N. Amjady, H. Zareipour, and S. H. Hosseini, “Maximizing the utilization of existing grids for renewable energy integration,” Renew. Energy, vol. 189, pp. 618–629, 2022.
  21. B. Khokhar, K. S. Parmar, T. Thakur, and D. P. Kothari, Load Frequency Control of Microgrids. CRC Press, 2024.
  22. A. Daraz, “Optimized cascaded controller for frequency stabilization of marine microgrid system,” Appl. Energy, vol. 350, p. 121774, 2023.
  23. T. H. Meles and L. Ryan, “Adoption of renewable home heating systems: An agent-based model of heat pumps in ireland,” Renew. Sustain. Energy Rev., vol. 169, p. 112853, 2024.
  24. H. Shayeghi, A. Rahnama, and H. Mojarad, “Designing a multi-objective optimized parallel process controller for frequency stabilization in an islanded microgrid,” J. Oper. Autom. Power Eng., vol. 5, pp. 89–94, 2025.
  25. H. Shayeghi, A. Rahnama, N. Bizon, and A. Szumny, “Interconnected microgrids load-frequency control using stage-by-stage optimized TIDA+1 error signal regulator,” Eng. Rep., vol. 7, no. 1, p. e13095, 2025.
  26. G. Liu, W. Ma, and Y. Zhang, “An anti-windup and backlash compensation-based finite-time control method for performance enhancement of a class of nonlinear systems,” Asian J. Control, vol. 26, no. 4, pp. 1864–1880, 2024.
  27. A. Pourasghar, E. Mehdizadeh, T. C. Wong, A. K. Hoskoppal, and J. C. Brigham, “A computationally efficient approach for estimation of tissue material parameters from clinical imaging data using a level set method,” J. Eng. Mech., vol. 150, no. 10, p. 04024075, 2024.
  28. K. Bingham, S. Sourani Yancheshmeh, G. Vaidya, A. Ebrahimpour, and T. Deemyad, “Advanced material selection and design strategies for optimized robotic systems,” in Proc. ASME Int. Mech. Eng. Congr. Expo. (IMECE), American Society of Mechanical Engineers, 2024.
  29. S. Sourani Yancheshmeh, A. Ebrahimpour, and T. Deemyad, “Optimizing chassis design for autonomous vehicles in challenging environments based on finite element analysis and genetic algorithm,” in Proc. ASME Int. Mech. Eng. Congr. Expo. (IMECE), American Society of Mechanical Engineers, 2024.
  30. J. Tao, L. Meng, J. Han, Q. Yang, W. Li, and Y. Guo, “Dynamic modeling and electromechanical coupling characteristics analysis in diesel generator set,” J. Vib. Eng. Technol., vol. 13, no. 8, p. 612, 2025.
  31. Q. Liu, P. Chen, S. Liu, C. Wang, and J. Liu, “A topology and control method for operational testing of ±800 kv/8 GW flexible DC transmission modular multilevel converter valve,” IEEE Access, vol. 12, pp. 55669–55681, 2024.
  32. A. Pilloni, A. Pisano, and E. Usai, “Robust finite-time frequency and voltage restoration of inverter-based microgrids via sliding-mode cooperative control,” IEEE Trans. Ind. Electron., vol. 65, no. 1, pp. 907–917, 2018.
Journal of Operation and Automation in Power Engineering
Volume 13, Special Issue
Intelligent and Sustainable Power Systems (ISPS): AI-Driven Innovations for Renewable Integration and Smart Grid Resilience
2025
Pages 29-43

Files

History

  • Receive Date: 27 November 2025
  • Revise Date: 23 December 2025
  • Accept Date: 25 December 2025
  • First Publish Date: 25 December 2025

Share

How to cite

Statistics