Frequency control of power systems under uncertain disturbances based on input‐output finite‐time stability

• Published in: IET generation, transmission & distribution Vol. 18; no. 12; pp. 2184 - 2192
• Main Authors: Zhu, Lixuan, Yu, Yiping, Ju, Ping
• Format: Journal Article
• Language: English
• Published: Wiley 01.06.2024
• Subjects: dynamic response; frequency control; linear matrix inequalities; power system security; uncertain systems
• ISSN: 1751-8687; 1751-8695
• DOI: 10.1049/gtd2.13180

In modern power systems, the uncertainty and volatility of generation and loads greatly increase the balance discrepancy between the power supply and demand, creating major potential security hazards. To limit out‐of‐bound frequencies, an effective frequency control method for power systems with interval uncertain disturbances is proposed. Based on the state space model of the system frequency response with delays, linear matrix inequalities are constructed based on the input‒output finite‐time stability of the system frequency. By searching for the output feedback gain and altering the time delay with the Padé approximation, the feasibility of the linear matrix inequalities is improved, and a frequency controller is designed. The simulation results show that the proposed method can effectively control frequency deviations. When the closed‐loop system is disturbed by uncertain power fluctuations, its frequency will always remain within the allowable range to ensure the secure operation of the power system. A frequency control method based on the state space model for power systems and input‒output finite‐time stability is proposed. Considering the general model of the power system frequency response with interval uncertainties, the frequency deviation of the power system is limited in a closed loop.