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Optimal control of energy in wind turbines based on a LQR approach

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Based upon the linearization of the wind turbine control system, the optimization criterion is expressed by the trade-off between the energy conversion maximization and minimization of the damage caused by mechanical fatigue. This trade-off in the combined performance criterion is realized by choosing the coefficient α. Mathematically, the objective is defined as stochastic criterion, belonging to Linear Quadratic Regulator (LQR) optimization. Here, the linear control law is obtained by LQR approach and the optimal value for α is calculated by real-value Genetic algorithm. The numerical simulations show a better efficiency of this method compared with the other studies.

Abstract

Based upon the linearization of the wind turbine control system, the optimization criterion is expressed by the trade-off between the energy conversion maximization and minimization of the damage caused by mechanical fatigue. This trade-off in the combined performance criterion is realized by choosing the coefficient α. Mathematically, the objective is defined as stochastic criterion, belonging to Linear Quadratic Regulator (LQR) optimization. Here, the linear control law is obtained by LQR approach and the optimal value for α is calculated by real-value Genetic algorithm. The numerical simulations show a better efficiency of this method compared with the other studies.

참고문헌 (13)

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  10. Sinha, A, "Linear systems optimal and robust control" (2007), CRC
  11. Wilkie, J, "Modeling of wind turbines by simple models", Wind Engineering, 4, pp.247~274 (1990)
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