Economic of power generation 5

 Question =Estimate the generating cost per kWh delivered from a generating station from the following data : 

» F = fixed charge , R = running charge , 

Plant capacity = 50 MW , annual load factor = 40% , capital cost (F) = 1.2 crores , annual cost of wages , taxation etc (F) = RS 4 lakhs , Cost of fuel , lubrication , maintenance etc (R) = 1 paise/kWh generated . Interest 5% per annum (F) per annum , depreciation 6% per annum of initial value . 

Solution = is given , 

» maximum demand and plant capacity = 50 MW , or 50 × 10³ kWh , • capital cost = 1.2 crores , or 120 × 10⁵ ,  • annual cost of wages , taxation etc (F) = RS 4 lakhs or RS 4 × 10⁵  , • convert % to point = 5% = 0.05 , 6% = 0.06 , • L F. = 40 % = 0.4 , • 1 paise = 1÷ 100 = 0.01 RS , 

» cost per unit = total annual charges ÷ unit generated per annum , 

» Total annual charges = cost of fuel , lubrication etc (R) + total annual fixed charges , 

»  cost of fuel , lubrication etc (R) = unit generated per annum × rate of cost of fuel , lubricantion etc (R) , 

» unit generated per annum = M.D × L.F. × Hours in a years , = 50 × 10³ kW × 0.4 × 8760 h = 1752 × 10⁵ kWh , 

» again , cost of fuel , lubrication etc = 1752 × 10⁵ × 0.01 = 17.52 ×10⁵ RS , 

» Total annual fixed charges  = interest and depreciation + wages and taxation , 

» Interest and depreciation  or annual fixed charges = capital cost × ( interest % + depreciation % ) /100 , = RS 120 × 10⁵ ×( 5 + 6 ) /100 , = after calculate = 13.2 ×10⁵ RS , AND 

» wages and taxation = 4 × 10⁵ RS , 

» So , Total annual fixed charges = ( 13.2 ×10⁵ ) + ( 4 × 10⁵ ), = 17.2 × 10⁵ RS , 

» Total annual  charges = ( 17.52 × 10⁵ ) + ( 17.2 × 10⁵ ) =  RS 34.72 × 10⁵ 

» Cost per unit = 34.72 × 10⁵ ÷ 1752 × 10⁵  ,

» 0.02 RS , or ×100 = 2 paise , answer ✓