Abstract
When a wind turbine operates between the cut-in and rated wind speeds, the machine is controlled to maximize wind energy capture. The extremum seeking control (ESC) algorithm has been proposed to locate and track the optimal operating condition for power maximization. This is accomplished by applying the ESC to the power signal to determine optimal values for parameters of the control law or actuator settings. Since the power signal is proportional to the cube of the mean wind speed, changes in wind conditions may lead to significant variations in the performance of the ESC algorithm. This paper demonstrates that replacing the power signal with its logarithm yields an algorithm with robust and predictable performance despite variations in the mean wind speed. The theoretical analysis of the ESC with log-of-power feedback is done using a simple differential equation model. Numerical simulations support the theory.
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