Journal
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS
Volume 68, Issue 11, Pages 3446-3450Publisher
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TCSII.2021.3069323
Keywords
Power system stability; Stability criteria; Delay effects; Circuit stability; Delays; Linear matrix inequalities; Circuits and systems; Fractional-order power system; stability; time delay
Categories
Funding
- National Natural Science Foundation of China [62073047]
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This brief investigates the problems of stability and stabilization of the fractional-order power system with time delay. The relevant stability criteria are obtained based on the theory of the fractional calculus and the Lyapunov functional technique, with new Lyapunov functionals constructed to reduce conservatism. Simulation results demonstrate the effectiveness of the obtained results, showing that the fractional-order model can more accurately describe chaos phenomenon and the designed controller is valid.
This brief investigates the problems of stability and stabilization of the fractional-order power system with time delay. The models of the fractional-order nonlinear and linearized delayed power system are established, respectively. Based on the theory of the fractional calculus and the Lyapunov functional technique, the relevant stability criteria are obtained. Meantime, new Lyapunov functionals are constructed, and the free-weighing matrix technique is introduced to reduce the conservatism of the criteria. The developed results can also be further extended to other similar nonlinear circuit systems. At last, effectiveness of the obtained results is demonstrated by simulation. Besides, simulation results indicate that the fractional-order model of the power system can more accurately describe the chaos phenomenon than the corresponding integer-order model, and the designed controller is valid.
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