Research Papers

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

[+] Author and Article Information
Christine Mecklenborg

Graduate Student

Dongmei Chen

Assistant Professor
e-mail: dmchen@me.utexas.edu
Department of Mechanical Engineering,
University of Texas,
Austin, TX 78712

1Corresponding author.

Contributed by the Dynamic Systems Division of ASME for publication in the Journal of Dynamic Systems, Measurement, and Control. Manuscript received January 29, 2011; final manuscript received August 2, 2012; published online February 21, 2013. Assoc. Editor: Nader Jalili.

J. Dyn. Sys., Meas., Control 135(2), 021018 (Feb 21, 2013) (9 pages) Paper No: DS-11-1021; doi: 10.1115/1.4023059 History: Received January 29, 2011; Revised August 02, 2012

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.

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Grahic Jump Location
Fig. 1

Integrated wind turbine and battery system

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Fig. 2

Control block diagram of integrated wind turbine and battery system

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Fig. 3

Wind turbine power coefficient

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Fig. 4

Positive and negative regions of Eq. (24) for different Kpvw3 values

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Fig. 5

Constant demand, constant wind speed simulation

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Fig. 6

Constant demand, varying wind speed simulation

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Fig. 7

Varying demand, varying wind speed simulation

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Fig. 8

Switching in positive region



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