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Calculating the change of a Wind Turbine's RPM due to Airflow as f(t)
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[QUOTE="jrmichler, post: 6825621, member: 638574"] The solution will be a numerical solution as described in your quote below: You start at the hub, and analyze the blade as a series of segments. Each segment has an airspeed, an angle of attack, and a radius. The airspeed and angle of attack allow you to calculate/find the ##C_L## and ##C_D##, from which you calculate the torque. Sum over the length of the blade, multiply by the number of blades, and you have total drive torque. Total drive torque minus friction minus power generated equals net acceleration torque. Divide that by the total inertia and you have the angular acceleration at that point in time. Start at time 0, HAWT velocity 0, and select an appropriate time step. Integrate accordingly, then proceed to the next time step. Repeat until finished. If the above is gibberish, you need to go back and study the fundamentals - physics, fluid dynamics, calculus, numerical analysis, and airfoil theory. MTA: And that assumes a constant wind velocity and direction. The turbine will affect the wind in the vicinity of the turbine. But it's a good place to start. [/QUOTE]
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Calculating the change of a Wind Turbine's RPM due to Airflow as f(t)
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