Chaos control in six-dimensional power system via adaptive synergetic approach

Abstract

In view that researchers only control some low-dimensional chaotic power system models, this paper aims at controlling chaos in a complex six-dimensional power system model. By introducing the dynamic model of an energy storage device and static synchronous compensator, an adaptive synergetic control scheme is proposed for the model to suppress its chaotic oscillation. Since the designed controller will inevitably contain complex derivative terms of a controlled power system according to the conventional controller design process, a novel adaptive synergetic control scheme is proposed. The presented adaptive controller for the chaotic power system can completely suppress its chaotic oscillation. The prominent advantages of the proposed control scheme are that it can avoid complex derivative terms of the controlled system and can avoid chattering as in the sliding mode control method. Simulations validate the effectiveness and robustness of the proposed scheme.