Stability of Wind Turbine Switching Control in an Integrated Wind Turbine and Rechargeable Battery System: A Common Quadratic Lyapunov Function Approach

作者: Dushyant Palejiya , John Hall , Christine Mecklenborg , Dongmei Chen

DOI: 10.1115/1.4023059

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摘要: The power generated by wind turbines varies due to variations in the wind speed. A pack of rechargeable batteries could be used as a reserve power source to alleviate the intermittency in the wind turbine power. An integrated wind turbine and battery storage system is constructed where the wind turbine is electrically connected to a rechargeable battery system. Such a system can operate in two modes depending on the wind speed, power demand, and battery limit. The switching conditions for the wind turbine to operate in multi-input, single-output and single-input, single-output control mode are discussed. Linearized approximations of the closed loop wind turbine system are derived in order to analyze the switching stability between control modes. Common quadratic Lyapunov function (CQLF) is established for both control modes to prove the system stability. Simulation results demonstrating system stability are also presented.

参考文章(29)
W. A. Coppel, Dichotomies in Stability Theory ,(1978)
H IBRAHIM, A ILINCA, J PERRON, Energy storage systems—Characteristics and comparisons Renewable & Sustainable Energy Reviews. ,vol. 12, pp. 1221- 1250 ,(2008) , 10.1016/J.RSER.2007.01.023
A.P. Molchanov, Ye.S. Pyatnitskiy, Criteria of asymptotic stability of differential and difference inclusions encountered in control theory Systems & Control Letters. ,vol. 13, pp. 59- 64 ,(1989) , 10.1016/0167-6911(89)90021-2
J. F. Manwell, J. G. McGowan, A. L. Rogers, Wind Energy Explained John Wiley & Sons, Ltd. ,(2009) , 10.1002/9781119994367
Antonella Battaglini, Johan Lilliestam, Armin Haas, Anthony Patt, Development of SuperSmart Grids for a more efficient utilisation of electricity from renewable sources Journal of Cleaner Production. ,vol. 17, pp. 911- 918 ,(2009) , 10.1016/J.JCLEPRO.2009.02.006
Daniel Liberzon, A Stephen Morse, Basic problems in stability and design of switched systems IEEE Control Systems Magazine. ,vol. 19, pp. 59- 70 ,(1999) , 10.1109/37.793443
Guisheng Zhai, Bo Hu, Kazunori Yasuda, Anthony N. Michel, Stability analysis of switched systems with stable and unstable subsystems: An average dwell time approach International Journal of Systems Science. ,vol. 32, pp. 1055- 1061 ,(2001) , 10.1080/00207720116692