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Delay-Dependent Stability for Load Frequency Control System via Linear Operator Inequality
- Source :
- IEEE Transactions on Cybernetics. 52:6984-6992
- Publication Year :
- 2022
- Publisher :
- Institute of Electrical and Electronics Engineers (IEEE), 2022.
-
Abstract
- The stability analysis problem is considered for multiarea load frequency control (LFC) systems with electric vehicles (EVs) and time delays. The novel linear operator inequality approach is proposed and a less conservative delay-dependent stability condition is achieved. First, the model of the multiarea LFC system with EVs and delays is expressed by the partial integral equation (PIE) at the first time. Then, a complete quadratic Lyapunov-Krasovskii functional is built in the form of an inner product of the linear partial integral (PI) operator. The novel stability criteria with less conservatism are proposed in the form of linear operator inequality. Moreover, the relationships between the delay margins and the controller parameters are shown. Finally, the simulations are conducted on both one-area and two-area LFC systems to show the effectiveness of the proposed approach.
- Subjects :
- Automatic frequency control
Integral equation
Stability (probability)
Computer Science Applications
Human-Computer Interaction
Linear map
Quadratic equation
Operator (computer programming)
Control and Systems Engineering
Control theory
Product (mathematics)
Electrical and Electronic Engineering
Software
Information Systems
Mathematics
Subjects
Details
- ISSN :
- 21682275 and 21682267
- Volume :
- 52
- Database :
- OpenAIRE
- Journal :
- IEEE Transactions on Cybernetics
- Accession number :
- edsair.doi.dedup.....c2b58b46841e3e8b6c17d2cbc3808dd3