EN642/EN302: Power Generation and Systems Planning Assignment-4:
Power System Planning
1. For the following three thermal generation units:
Heat rate (MJ/h) Min (MW) Max (MW) Fuel Cost (Rs./MJ)
2
1 1 1225 8.4 0.0025H P P 45 350 0.80 2
2 2 2729 6.3 0.0081H P P 45 350 1.02 2
3 3 3400 7.5 0.0025H P P 47.5 450 0.90
The demand is 450 MW. 2 21 20.0002 0.0001lossP P P . Solve the
economic dispatch problem. For a load
varying from 400 MW to 500 MW, plot total cost vs. total
load.
2. The characteristics of a steam system and hydro plant are as
follows:
Min (MW) Max (MW) Fuel Cost (Rs./MJ)
2500 8 0.0016s s sH P P (MJ/h) 150 1500 1.15
330 4.97 Hq P acre-ft/h 0 1100 20.00008loss HP P
Loads are: 12 midnight -12 noon: 1200MW and 12 noon-12 midnight:
1500MW Total water drawdown should be 100,000 acre-ft for entire 24
hours. Write the equations to be solved to obtain minimum total
cost of generation in 24 hours. List all the unknowns in the
equations and ensure that number of equations is equal to the
number of unknowns. Determine the power generated in the steam
plant as function of time.
3. Load duration curve is given a straight line with the maximum
and the minimum power requirements of 160 MW and 40 MW
respectively. Three different power plants are to be installed to
meet the load. (a) Determine the cost optimal sizing of these power
plants to meet the load. (b) If there exists two power plant of
20MW capacity each with variable costs of 50 and 10 Rs/MWy, how
would the solution obtained in (a) be modified so that the cost is
minimized. Cost parameters of new plants are given as:
Power Plant GT CC ST
Capital cost (Rs/MWy) 15 25 50
Variable cost (Rs/MWy) 100 50 10
4. Find the amount of zero carbon resource needed to meet a load
of 2000000TJ when the total
allowed carbon dioxide emission is 100 million t-CO2 . The
existing energy sources are listed below:
Type Emission factor Energy
tCO2/TJ (TJ)
Coal 105 600000
Diesel 75 800000
Natural Gas 55 200000
.o0o.
