# Earth Science

Assignment 51. (15 points) A wind power generation system produces an average of 1 MW power over half of each 24-hour period and zero power over the other half. If the power consumption is uniform over time and it is planned to use all of the produced power over each 24-hour period, how much battery power storage is needed?Energy storage is in lectures Ch. 6, and energy balance laws in Ch. 2.2. (20 points) To obtain a generated solar heat temperature of 200°C, compare the efficiencies of the two below-described types of solar collectors operating in an environment where the solar radiation flux Iw = 500 W/m2, and its temperature is 15°C.Collector type 1: non-concentrating vacuum-insulated,Collector type2: concentrating with a concentration ratio of 80, with a vacuum-insulated receiver.Both collectors have an overall heat loss coefficient to the ambient UL = 1.5 W/(m2 °C), their absorbers are flat, the window area of each is equal to its absorber area, FR = 0.8, the absorber absorptance α = 0.95, and the glass window overall transmittance τ = 0.9. Assume that the sun beam is always perpendicular to the absorber/receiver.Explain the results.Sources of information are in Canvas chapter 8 in the course notes (which also contains solar collectors’ calculation examples), but also in the reference books related to this chapter.

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