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Chaos in a Fractional-Order Single-Machine Infinite-Bus Power System and Its Adaptive Backstepping Control
School of Electrical Engineering, Zhengzhou University, Zhengzhou, China
School of Electrical Engineering, Zhengzhou University, Zhengzhou, China
- 1 School of Electrical Engineering, Zhengzhou University, Zhengzhou, China
- 2 School of Electrical Engineering, Zhengzhou University, Zhengzhou, China
International Journal of Modern Nonlinear Theory and Application·Volume 05 (2016)·Pages 122–131·Published 16 September 2016·DOI10.4236/ijmnta.2016.53013
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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.
KeywordsPower SystemFractional CalculusChaosBackstepping Method
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