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Analytical solution of a simulation model for wind turbines

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  • Power, Henry M.

Abstract

It is shown that a recently introduced model for wind turbine dynamics, having the form J(d[Omega]/dt) = g(V,[Omega]) - T, admits of an analytical solution during periods of constant windspeed, V, when the load torque has the parabolic form T = K[Omega]2. A certain function of the angular velocity turns out to be governed by a linear equation, characterised by a time constant. The special case of a model of Type 1 is shown to have a particularly simple solution.

Suggested Citation

  • Power, Henry M., 1981. "Analytical solution of a simulation model for wind turbines," Applied Energy, Elsevier, vol. 9(4), pages 311-316, December.
    • Handle: RePEc:eee:appene:v:9:y:1981:i:4:p:311-316
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