A hydro-electric power station has a reservoir area of 3,8-km2 and a capacity of 9,9 x 106 m3 . The effective head of water is 100 metres. The penstock, turbine and generation efficiencies are 95%, 90%, and 85%, respectively. 2.1 Determine the overall efficiency of the power station (%) and determine the total electrical energy that can be generated from the power station (kWh). 2.2 Determine the depth of the reservoir (metres) 2.3Determine the fall in reservoir volume level is the load of 100 kW is supplied for 5 hours (%).

Refrigeration and Air Conditioning Technology (MindTap Course List)
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Author:John Tomczyk, Eugene Silberstein, Bill Whitman, Bill Johnson
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A hydro-electric power station has a reservoir area of 3,8-km2 and a capacity of 9,9 x 106 m3 . The effective head of water is 100 metres. The penstock, turbine and generation efficiencies are 95%, 90%, and 85%, respectively.

2.1 Determine the overall efficiency of the power station (%) and determine the total electrical energy that can be generated from the power station (kWh).

2.2 Determine the depth of the reservoir (metres)

2.3Determine the fall in reservoir volume level is the load of 100 kW is supplied for 5 hours (%).

Expert Solution
Step 1

Given,

Weight of water available,W=9.9×106×103×9.81W=97.12×109NOverall efficiency,ηo=0.95×0.90×0.85ηo=0.726Total electrical power that can be generated from the powe station,P=ρgQHηoP=97.12×109×100×0.7261000×3600P=1958586.67KWh

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