Question

3. (20%) A certain wind turbine is rated at 5 MW and has an installed cost of $6,000,000. The capacity factor is 0.38. The turbine is paid for with a down payment of 1/10 of the installed cost and a loan. The loan interest rate, b, is 8% and the period of the loan, N, is 15 years. The economic lifetime of the turbine, L, is to be 20 years, the inflation rate is 4% and the discount rate, r, is 5 %. The O&M cost is 1% of the initial cost each year, increasing at the inflation rate. 1) What would the simple payback period be if the electricity generated could be sold for $0.10/kWh? 2) Find ) the net present value of all the costs, in $, and ii) the levelized cost of producing the energy, $ per kWh.

this is the full question tho

Answer 1

Answer PF wind turbine rated @ SMW. capacity factor - Rated power 0.38 = Aug. powelle Selling power @ P= 5x0.38 sa p .= 1.9 mW. Yearly consumption powel value $0.1 koch year = (365) + (4) hrs. = (1.9x103)(365924). Kwih. = 1.6644x 10t kw.ho Selling price of generated power per year. = (1.664ux 10°) (0.1) - $1.6644X10 a) By simple payback period for single clown Payment 6x106, then 6x10b .669 4 x el period a 6 = 3.605 year loo

of payment of Installing wind turbine done by / down payment of installerent, & as loan in installent cost o pot Down pagnient to (6x106) 2 = $6x16 = 600000 at taken a 9 xbx106 & $5.4x100 ? $5,400,000 Total amolent speced of look - (5,400,000) (1+ Theme) = 5,400,000 (1+ (15)®) ) =$11880000 Total spenting an installation cost = 11880000 7 600000 = $12480000 12480000 - 7.498 years. Payback period = 0 1664400 inflation increwing a cost = 4% e rate cost of previous (2por year, factor = 1.04 0.95 Dislocant. inflation a esocunt rate = 5%. meeltiplication 1-0.05 a is count for

- Ocetrat a Chlorear) Po out Net pore value output - Inpert so you 1 to 0.95 66000 5942.000 166000 1664 000 -4333600. 600000 6XW0000 6615000 ܘܐܪ ܕܕ̈ܕ ܟܠܐܙܝܽ ' 1666.00 1328 POD -29 58600 661500 6601770 4992.000 - 1609770 66 56000 166400 2066334 20 y 1664000 20. 12641095 1.04 0.95 126410 126 16660 total autcome - cast - ii) levelized Cost @ reaching life time at and of final cost of wind turbine fear year = Cinitical costy 1.05 0.95) tinitical cart 20.01) 1261660 01 206615400 0.061 $ / kWh si - 0.998 initial cost: =