Further Improvement on Delay-Dependent Load Frequency Control of Power Systems via Truncated B-L Inequality

Feisheng Yang; Jing He; Quan Pan

doi:10.1109/TPWRS.2018.2816814

Further Improvement on Delay-Dependent Load Frequency Control of Power Systems via Truncated B-L Inequality

Feisheng Yang, Jing He, Quan Pan

School of Automation

Northwestern Polytechnical University Xian

Research output: Contribution to journal › Article › peer-review

85 Scopus citations

Abstract

In this paper, a new method is put forward for the closed-loop stability analysis of PI-type load frequency control (LFC) scheme with interval time-varying delay. Improved delay-dependent conditions in terms of linear matrix inequalities for single-area and multi-area LFC systems are deduced by the proposed augmented Lyapunov-Krasovski (L-K) functional. Less conservativeness of our main results is due to an integral inequality called truncated second-order Bessel-Legendre (B-L) inequality, which can produce tighter bounds than Wirtinger-based inequality that encompasses Jensen inequality. Finally, the two-area interconnected power system based on Matlab/Simulink is provided to show the effectiveness and superiority of the obtained results.

Original language	English
Article number	8318668
Pages (from-to)	5062-5071
Number of pages	10
Journal	IEEE Transactions on Power Systems
Volume	33
Issue number	5
DOIs	https://doi.org/10.1109/TPWRS.2018.2816814
State	Published - Sep 2018

Keywords

B-L inequality
load frequency control
Power system stability
time-varying delay

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10.1109/TPWRS.2018.2816814

Cite this

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title = "Further Improvement on Delay-Dependent Load Frequency Control of Power Systems via Truncated B-L Inequality",

abstract = "In this paper, a new method is put forward for the closed-loop stability analysis of PI-type load frequency control (LFC) scheme with interval time-varying delay. Improved delay-dependent conditions in terms of linear matrix inequalities for single-area and multi-area LFC systems are deduced by the proposed augmented Lyapunov-Krasovski (L-K) functional. Less conservativeness of our main results is due to an integral inequality called truncated second-order Bessel-Legendre (B-L) inequality, which can produce tighter bounds than Wirtinger-based inequality that encompasses Jensen inequality. Finally, the two-area interconnected power system based on Matlab/Simulink is provided to show the effectiveness and superiority of the obtained results.",

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AU - Yang, Feisheng

AU - He, Jing

AU - Pan, Quan

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Y1 - 2018/9

N2 - In this paper, a new method is put forward for the closed-loop stability analysis of PI-type load frequency control (LFC) scheme with interval time-varying delay. Improved delay-dependent conditions in terms of linear matrix inequalities for single-area and multi-area LFC systems are deduced by the proposed augmented Lyapunov-Krasovski (L-K) functional. Less conservativeness of our main results is due to an integral inequality called truncated second-order Bessel-Legendre (B-L) inequality, which can produce tighter bounds than Wirtinger-based inequality that encompasses Jensen inequality. Finally, the two-area interconnected power system based on Matlab/Simulink is provided to show the effectiveness and superiority of the obtained results.

AB - In this paper, a new method is put forward for the closed-loop stability analysis of PI-type load frequency control (LFC) scheme with interval time-varying delay. Improved delay-dependent conditions in terms of linear matrix inequalities for single-area and multi-area LFC systems are deduced by the proposed augmented Lyapunov-Krasovski (L-K) functional. Less conservativeness of our main results is due to an integral inequality called truncated second-order Bessel-Legendre (B-L) inequality, which can produce tighter bounds than Wirtinger-based inequality that encompasses Jensen inequality. Finally, the two-area interconnected power system based on Matlab/Simulink is provided to show the effectiveness and superiority of the obtained results.

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Further Improvement on Delay-Dependent Load Frequency Control of Power Systems via Truncated B-L Inequality

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