Dynamic analysis and fractional-order adaptive sliding mode control for a novel fractional-order ferroresonance system  

作　　者：杨宁宁 韩宇超 吴朝俊 贾嵘 刘崇新 

机构地区：[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

出　　处：《Chinese Physics B》2017年第8期74-86,共13页中国物理B（英文版）

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

摘　　要：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 en- hanced. Numerical simulation results demonstrate that the proposed FASMC controller works well for suppression of ferroresonance over voltage.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 en- hanced. Numerical simulation results demonstrate that the proposed FASMC controller works well for suppression of ferroresonance over voltage.

关 键 词：fractional-order ferroresonance system fractional-order sliding mode control adaptive control nonlinear circuit emulator 

分 类 号：O231[理学—运筹学与控制论]