Economic of power generation 8

 Question = The annual working Cost of a power station is represented by the formula RS ( a+b kW+c kwh ) where the various terms have their usual meaning . Determine the value of a , b and c for a 60 MW station operating at annual load factor of 50% from the following data : 

• F = fixed charges , R = running charges , 

(1) capital cost of building and equipment is RS 5 × 10⁶ ( 50 lakh ) ,

 (2) the annual cost of fuel , oil , taxation and wages of operating staff is RS 9,00,000 ( 9 lakhs ) . (R)

(3) the interest and depreciation on building and equipment are 10% per annum , (F)

(4) annual cost of organisation and interest on cost of site etc is RS 5,00,000 ( 5 lakhs ) . (F) 

Solution = is given , 

» annual operating cost = RS ( a + b kw + c kwh ) , 

» a = annual fixed cost , • b = b × kW = annual semi fixed cost , • c =  c × kWh =  annual running cost , 

(1) a = annual fixed cost = the annual fixed cost is due to the annual cost of organisation and interest on the cost of site . a = 5,00,000 RS ( 5 lakhs ) answer ✓ 

(2) b = b × kW = annual semi fixed cost , 

» So , annual semi fixed cost = this is on account of annual interest and depreciation on building and equipment . = 10% ×5 × 10⁶ = 5,00,000 RS , 

But , annual semi fixed cost is equal to b ×kw , where b is the cost per kW of maximum demand .

» So , b = b × 60 × 10³ = 5,00,000 , » b = ( 5,00,000 ) ÷ ( 60 × 10³ ) , = 8.34 RS , answer ✓ 

(3) c = c × kwh generated = 9,00,000 RS. = Annual running cost , 

» unit generated per annum = Max.. demand × L.F. × Hours in a years , = 60 ×10³ × 0.5 × 8760 , = 262.8 × 10⁶ kWh. 

» So , annual running cost= this is due to the annual cost of fuel , oil , taxation , salaries of operating staff . 

» So , c = c × ( 262.8 ×10⁶ ) = 9,00,000 RS , = c = 9,00,000 ÷ ( 262.8 ×10⁶ ) = 0.0034 RS , answer ✓ 

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