Fractional-Order Chaotic Model and Synchronization Control of the Power System with Electromagnetic Power Disturbance of Synchronous Generator

In this paper, a nonlinear fractional-order analysis model is presented to investigate the chaotic behavior of the single-machine infinite-bus power system with electromagnetic power disturbance of synchronous generator. The minimum order for chaotic oscillation occurring in the system can be found by using this model. The influence of the parameters, such as the frequency ratio and the disturbance amplitude of electromagnetic power, on the system chaotic behavior may be revealed as well. Based on this analysis model and the stability theory for power system, an active feedback controller can be designed for the synchronization control of the drive and response systems. The analysis model is used for the study of an example power system. Numerical simulation is carried out to validate the model and the effectiveness of the controller.