Chin. Phys. B, 2017, Vol. 26(8): 080503    DOI: 10.1088/1674-1056/26/8/080503
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# Dynamic analysis and fractional-order adaptive sliding mode control for a novel fractional-order ferroresonance system

Ningning Yang(杨宁宁)1,2, Yuchao Han(韩宇超)2, Chaojun Wu(吴朝俊)3, Rong Jia(贾嵘)1,2, Chongxin Liu(刘崇新)4
1 State Key Laboratory Base of Eco-hydraulic Engineering in Arid Area, Xi'an University of Technology, Xi'an 710048, China;
2 Institute of Water Resources and Hydro-electric Engineering, Xi'an University of Technology, Xi'an 710048, China;
3 College of Electronics and Information, Xi'an Polytechnic University, Xi'an 710048, China;
4 School of Electrical Engineering, Xi'an Jiaotong University, Xi'an 710049, China
Abstract

Ferroresonance is a complex nonlinear electrotechnical phenomenon, which can result in thermal and electrical stresses on the electric power system equipments due to the over voltages and over currents it generates. The prediction or determination of ferroresonance depends mainly on the accuracy of the model used. Fractional-order models are more accurate than the integer-order models. In this paper, a fractional-order ferroresonance model is proposed. The influence of the order on the dynamic behaviors of this fractional-order system under different parameters n and F is investigated. Compared with the integral-order ferroresonance system, small change of the order not only affects the dynamic behavior of the system, but also significantly affects the harmonic components of the system. Then the fractional-order ferroresonance system is implemented by nonlinear circuit emulator. Finally, a fractional-order adaptive sliding mode control (FASMC) method is used to eliminate the abnormal operation state of power system. Since the introduction of the fractional-order sliding mode surface and the adaptive factor, the robustness and disturbance rejection of the controlled system are enhanced. Numerical simulation results demonstrate that the proposed FASMC controller works well for suppression of ferroresonance over voltage.

Keywords:  fractional-order ferroresonance system      fractional-order sliding mode control      adaptive control      nonlinear circuit emulator
Received:  15 February 2017      Revised:  19 April 2017      Accepted manuscript online:
 PACS: 05.45.-a (Nonlinear dynamics and chaos) 05.45.Gg (Control of chaos, applications of chaos) 05.45.Pq (Numerical simulations of chaotic systems)
Fund:

Project supported by the National Natural Science Foundation of China (Grant No. 51507134) and the Science Fund from the Education Department of Shaanxi Province, China (Grant No. 15JK1537).

Corresponding Authors:  Chaojun Wu     E-mail:  chaojun.wu@stu.xjtu.edu.cn