Passivity-Short-based Stability Analysis of Load Frequency Control System with Demand Response

This paper deal with a stability analysis for a load frequency control (LFC) system including Demand Response (DR). To analyze system stability, LFC system is formulated to facilitate the application of passivity theory, and the passivity and passivity-short of the system are analyzed. At first, we express LFC system decomposing into a network system and area systems. Specifically, area systems include DR that occurs time-varying communication delay. Then, passivity analysis is applied to each system. As a result, we can clarify the area systems are output strictly passive if certain inequalities are satisfied, and the network system is passive. Simulation results show that the frequency deviation converges to a constant value under the derived inequality condition.