Presently, there exist few numerical methods which treat the inverse problem for the determination of the geometry of wind turbine\r\nblades. In this work, authors intend to solve the inverse optimum project for horizontal axis wind turbine in which the selection\r\nof the circulation distribution is obtained by resolving two variational problems: the first consists in sorting the circulation distribution\r\non the lifting line, which, for a given power extracted by the wind turbine, minimizes the loses due to the induced velocity.\r\nIn the second, the optimal circulation distribution is selected such that the kinetic energy of the wind downstream of the rotor disc\r\nis minimum, when the energy extracted by the wind turbine for one rotating period is imposed. A code has been developed which\r\nincorporates the real pitch of the helicoidal vortex wake. Very promising results have been obtained: the circulation distribution\r\nfor a given extracted power and the chord lengths distribution law along the blade span.
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