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


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Volume 13, Special Issue
Intelligent and Sustainable Power Systems (ISPS): AI-Driven Innovations for Renewable Integration and Smart Grid Resilience
2025
Pages 29-43
  • Receive Date: 27 November 2025
  • Revise Date: 23 December 2025
  • Accept Date: 25 December 2025
  • First Publish Date: 25 December 2025