TITLE:
Chaos in a Fractional-Order Single-Machine Infinite-Bus Power System and Its Adaptive Backstepping Control
AUTHORS:
Zhanhong Liang, Jinfeng Gao
KEYWORDS:
Power System, Fractional Calculus, Chaos, Backstepping Method
JOURNAL NAME:
International Journal of Modern Nonlinear Theory and Application,
Vol.5 No.3,
September
27,
2016
ABSTRACT: 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.