Stability analysis of delayed load frequency control system based on a novel augmented functional. (English) Zbl 07909738
Summary: This article is concerned with the stability issue of PI-based load frequency control (LFC) systems with time-varying delays and load interference. Firstly, a novel augmented Lyapunov-Krasovskii functional (LKF) is developed, in which the single integral term includes the augmented \(s\)-dependent integral term of delay-partition. For the purpose of coordinating with the constructed LKF effectively, a generalised free-matrix-based integral inequality and quadratic inequality are utilised to estimate the functional derivatives accurately, so that the stability criterion of less conservative is obtained. Finally, the relationship between the PI gains and the delay margins is presented, and the effects of time delays and PI gains on the system dynamic performance are discussed simultaneously by simulation. The simulation results verify the validity of the proposed method.
MSC:
| 93D05 | Lyapunov and other classical stabilities (Lagrange, Poisson, \(L^p, l^p\), etc.) in control theory |
| 93C80 | Frequency-response methods in control theory |
| 93C43 | Delay control/observation systems |
Keywords:
PI control; power system; time-varying delay; Lyapunov-Krasovskii functional; load frequency controlReferences:
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