Problem b. Suppose an anemometer mounted at a height of 10 m with a 20-m/s average wind speed (i) Estimate the average wind power at a height of 10 m, assuming Rayleigh statistics and under the following weather conditions • 15°C (ii) Suppose a 1300-kW wind turbine with 60-m rotor diameter is located in those winds with speed computed in the first condition of part (i). Determine the annual energy production with a 30% wind turbine efficiency (iii) Evaluate the wind turbine capacity factor

How many poles should a 60-Hz generator have, if it is connected to a turbine operating undera design head of 3000 ft with a flow of 82 cubic feet per second? Assume turbine specific speedand efficiency of 3 rpm and 84% respectively.

Problem 1 A 2.1-MW Sulon S97 wind turbine has a cut-in wind speed uc = 3.5 m/s, rated wind speed u, = 11 m/s and a furling wind speed of uf = 20 m/s. If this machine is located in Rayleigh winds with an average wind speed of 7 m/s, find the following: a) How many hours per year is the wind below the cut-in wind speed? b) How many hours per year will the turbine be shut down due to excessive winds? How many kWh/yr will be generated when the machine is running at rated power? c)

Suppose two generators supplying a load. Generator-1 has a no-load frequency of 61.5 Hz and a slopesp1 of 1 MW/Hz. Generator-2 has a no-load frequency of 62 Hz and a slope sp2 of 1MW/Hz. The twogenerators are supplying a real load totaling 2.5 MW at 0.8 PF lagging. Draw the resulting systempower-frequency or house-diagrams. Determine (a) at what frequency is the system operating, andhow much power is supplied by each of the generators? (b) if an additional 0.75-MW load wereattached to this power system. What would the new system frequency be, and how much powerwould the each generator supply now? (c) with the system in the configuration described in part (b),what will the system frequency and generators power be if the governor set points on generator-1 areincreased by 0.5 Hz?