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Answers for “在这个例子中,哪个因素对预测功率输出的影响最大?”

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In the fitted wind-turbine model shown in the clip, wind speed has a much larger effect on predicted power output than wind direction, air density, turbulence, or wind shear. This is evidenced by the steep S-shaped curve for wind speed in the Plot Slice window, whereas the curves for the other factors are nearly horizontal, indicating very small impacts.

Conditions: The analysis is based on the specific dataset and fitted model shown in the video segment.; A nonlinear model has been fitted using wind speed plus four other factors.

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The nonlinear model combines a sigmoidal dependence on wind speed with assumed linear contributions from additional wind-related factors. Mathematically, it is expressed as P=b11+exp⁡(−b2(x1−b3))+b4x2+b5x3+b6x4+b7x5P = \frac{b_1}{1+\exp(-b_2(x_1-b_3))} + b_4 x_2 + b_5 x_3 + b_6 x_4 + b_7 x_5, where x1x_1 represents wind speed, and x2x_2 through x5x_5 represent other factors like wind direction, air density, turbulence, and wind shear.

Conditions: Multiple predictor factors are to be modeled together.; Wind speed is known to have a sigmoidal relation to power output.; Other factors are assumed linear for simplicity.