Question

(a) In Masirah Island at a sea-level, the wind statistics, taken over a period of one year and measured at an anemometer height of 10 m above sea-level, are as shown in Figure Q2(a) The velocity is assumed to be constant in each indicated range. Although the wind velocity varies with the 1/7th power of height. The windmill characteristics are: Efficiency 70%, Cost 47.8mT USD/m2, and Weight 10 g/m2. If h is the height of the tower and m is the mass of the windmill on top of the tower, then the cost, Cr, of the tower is Cr = 0.05 h m 18m/s 20m/s Om/s 5 m/s 10m/s 15m/s 90 760 600 1600 2700 2200 Figure Q2(a). Wind speed (m/s) vrs time (hours) in Masirah Island. Page |4 () Calculate the optimum tower height, so that the average delivered power is 10 kw. [8 Marks] (ii) How big must the swept area of the windmill be? 12 Marks (ii) Calculate the cost in MWhr, assuming an 18% yearly cost of the capital invested. [5 Marks]

Answer 1

Given data icdency owindmil Cost I50$ Im 10 кglmt. Weight10m2 Cast a tower Gr 0.05h m PoaernXWYAXxV 04X100X Areax gy2 IDKW Area 16 46 m2 16.96 m2 Area 1om Hapht E)19m to r Suept avta a the uindnüll 16.96 m2 Gust in Mh assuming 18/ yeakly cost of capital 1învestE Swept area x Cost => 16.46 X ISD$ Cost in MWh cs Scanned with CamScanner