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      "text": "P(\\rho, w) = \\begin{cases} 0 & \\text{if } w < \\underline{w} \\text{ or } w \\ge \\overline{w} \\\\ \\min\\left(\\frac{1}{2}\\rho A w^3 C(w), c\\right) & \\text{if } \\underline{w} \\le w < \\overline{w} \\end{cases}",
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      "text": "We have opted to use a \"benchmark\" turbine to calculate capacity factors for all sites, regardless of the specific turbines chosen by each wind farm developer.",
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      "text": "There are three physical constraints that prevent turbines from extracting all of this power. First, you need a minimum amount of force to get the blades moving... Second, the air slows down as it pushes the blades... Third, due to the limitations of the materials, turbines cannot safely and reliably rotate at any speed.",
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