Enegy conversion system I need a good solution please 112 A

1.12. A 600-Mw, power plant with a heat rate of [8700 8900, 9100; 9300 9500] Btu/kWh is operated at a capacity factor of [55; 60; 65; 70; 75] percent for an operating period of 335 days. 30 days/year are allotted for scheduled outages, ind (a) the annual fuel cost, dollars/year, (b) the area of coal field that must be mined, in acres/year, and (c) the total annual income from the sale of electricity produced by the plant. Assume the fuel cost is 120 cents/million Btu and that the company receives 4.5 cents/kWh of electrical output. The density of coal is 1200 kg/m, the HHV equals 10,800 Btu/1bm and the coal seam is 6ft thick, Also, find (d) the effective mass of coal that is actually converted into energy, in lbm/year.

Solution

MATLAB CODE for calculation

capacity=600*1000; % in kW
cf=[0.55 0.60 0.65 0.70 0.75];
hf=[8700 8900 9100 9300 9500];
PG=cf*capacity;
heat_input=PG.*hf;
hhv=10800;
fuel_cost=heat_input*335*24*1.20/1000000;
den=74.91355;
fuel_mass=heat_input*335*24/hhv;
t=6;
fuel_vol=fuel_mass/den;
fuel_area=fuel_vol/(t*2.29568e-5);
rev=PG*335*24*0.045;
income=rev-fuel_cost;

effective_mass=PG*335*24*3412/10800;

answers :

a) [27699408,30912192,34240752,37685088,41245200]

b)109.160422558180   121.821662792201   134.939163935556   148.512925988245   162.542948950268

c) 91694592   99335808   106861248   114270912   121564800

d) 838214666.666667   914416000   990617333.333333   1066818666.66667   1143020000.00000