Author(s)

Zhanhong Liang^*, Jinfeng Gao

School of Electrical Engineering, Zhengzhou University, Zhengzhou, China.

This paper has numerically studied the dynamical behaviors of a fractional-order single-machine infinite-bus (FOSMIB) power system. Periodic motions, period- doubling bifurcations and chaotic attractors are observed in the FOSMIB power system. The existence of chaotic behavior is affirmed by the positive largest Lyapunov exponent (LLE). Based on the fractional-order backstepping method, an adaptive controller is proposed to suppress chaos in the FOSMIB power system. Numerical simulation results demonstrate the validity of the proposed controller.

Power System, Fractional Calculus, Chaos, Backstepping Method

Liang, Z. and Gao, J. (2016) Chaos in a Fractional-Order Single-Machine Infinite-Bus Power System and Its Adaptive Backstepping Control. International Journal of Modern Nonlinear Theory and Application, 5, 122-131. doi: 10.4236/ijmnta.2016.53013.