An Improved Stability Criterion for Load Frequency Control of Power Systems with Time-Varying Delays

Bi-Ying Chen, Xing-Chen Shangguan, Li Jin and Dan-Yun Li
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Bi-Ying Chen: School of Automation, China University of Geosciences, Wuhan 430074, China
Xing-Chen Shangguan: School of Automation, China University of Geosciences, Wuhan 430074, China
Li Jin: School of Automation, China University of Geosciences, Wuhan 430074, China
Dan-Yun Li: School of Automation, China University of Geosciences, Wuhan 430074, China

Energies, 2020, vol. 13, issue 8, 1-14

Abstract: This paper aims at developing a novel stability criterion to access the influence of the time-varying delay on the stability of power systems equipped with a proportional-integral (PI)-based load frequency control (LFC). The model of the LFC scheme considering time-varying communication delays is established at first. Then, an improved stability condition related to the information of delay bounds is deduced by constructing an augmented Lyapunov–Krasovski functional and using a matrix inequality, and it is expressed as linear matrix inequalities (LMIs) for easily checking. Finally, case studies for one-area and two-area LFC systems are carried out to show the relationship between delay margins ensuring the stability and the PI gains of the LFC, and also verify the superiority of proposed stability criterion compared with the previous ones.

Keywords: power systems; load frequency control; stability analysis; time-varying delay (search for similar items in EconPapers)
JEL-codes: Q Q0 Q4 Q40 Q41 Q42 Q43 Q47 Q48 Q49 (search for similar items in EconPapers)
Date: 2020
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (7)

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