Generating stations 3

 Question = A thermal station has the following data = maximum demand = 20000 kilowatt , load factor = 40% ,  boiler efficiency =  85% ,  turbine efficiency =  90% ,  coal consumption =  0.9 kg per kwh , cost of one ton of coal = RS 300 ,  determine (1)  thermal efficiency (2)  coal bill per annum .( 1ton = 1000 kg ) .

Solution = thermal efficiency = efficiency boiler × efficiency turbine ,  = 0.85 × 0.9 = 0.765 or 76.5 % , answer ✓

(2) formula ,  coal bill / annum =  coal consumption × unit generated/annum

» unit generated/annum = maximum demand × load factor ×hour in a year , 

» 20,000 × 0.4 × 8760 = 7008 × 10⁴ kWh , 

» coal consumption in 1 kwh  = 0.9 kg , 

» 7008 ×10⁴ kWh = 0.9 ×7008 ×10⁴ = 63072000 kg , 

» for ton = ÷ 1000 = 63072 tons , 

» annual coal bill = RS 300 × 63072 , = RS 1,89,21,600 , answer ✓ 

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