Novel stability analysis of delayed LFC power systems by infinite-series-based integral inequality

A new method is proposed for stability of load frequency control (LFC) scheme with fixed and time-varying delay cases included. Novel conditions with delay dependency in terms of LMI for LFC systems are derived by an augmented Lyapunov-Krasovski (L-K) functional. Our proof deployment for stability analysis of power grid applies the further improved integral inequality in truncated infinite series less conservative than Wirtinger's inequality that encompasses Jensen inequality. Simulation case studies are carried out to show the effectiveness and superiority of the PI-type LFC design technology.

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