Delay-dependent Robust Stability Analysis of Power Systems with PID Controller*

Abstract

Abstract: This study examines the robust stability of a power system, which is based on proportional-integral-derivative load frequency control and involves uncertain parameters and time delays. The model of the system is firstly established, following which the system is transformed into a closed-loop system with feedback control. On this basis, a new augmented Lyapunov-Krasovskii (LK) functional is established for using the new Bessel-Legendre inequality to estimate the derivative of the functional, which can provide a maximum lower bound. A stability criterion is then derived by employing the LK functional and Bessel-Legendre inequality. Finally, numerical examples are used to demonstrate the validity and superiority of the proposed method.

Key words: Power systems, time delay systems, load frequency control, PID control, robust stability

Li Shen, Huiqin Xiao. Delay-dependent Robust Stability Analysis of Power Systems with PID Controller^*[J]. Chinese Journal of Electrical Engineering, 2019, 5(2): 79-86.

References

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Huiqin Xiao received a B.Sc. degree, in automation from Hunan University of Technology, Zhuzhou, China, in2000, an M.Sc. degree in control theory and control engineering, and a Ph.D. degree in control science and engineering from Central South University, Changsha, China, in 2006 and 2015, respectively. Since 2000, she has been with the Department of Electrical and Information Engineering, Hunan University of Technology, Zhuzhou, China, where she is currently an associate professor of automatic control engineering. Her current research interests are time-delay systems, nonlinear control systems, and networked control systems.

Delay-dependent Robust Stability Analysis of Power Systems with PID Controller^*

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