Assignment 3 (EET302 OCPS)
Assignment 3 (EET302 OCPS)
Assignment 3 (EET302 OCPS)
Q.1. In a two plant system, the entire load is located at plant 2, which is connected to plant 1
by a transmission line. Plant 1 supplies 100 MW of power with a corresponding
transmission loss of 5MW. Calculate the penalty factors for the two plants.
(Ans:1.111,1)
Q.2. For the system of Q.1., λ=$15/MWh, and the incremental fuel costs for the two plants
are given by
𝑑𝑑𝐹𝐹1 𝑑𝑑𝐹𝐹2
𝑑𝑑𝑑𝑑1
= 0.01𝑃𝑃1 + 10 and 𝑑𝑑𝑑𝑑2
= 0.02𝑃𝑃2 + 12
in $/MWh. How much power should be generated at each plant for minimal total fuel
cost? (Ans: 350MW,150MW)
Q.3. The fuel cost function in $/hr for three thermal plants are given by
If P1, P2, P3 are in MW, find the optimal schedule for a demand of 600MW. (Ans:
138.125MW, 201MW, 260.875MW)
Q.4. On a system with two plants the incremental costs are given by
𝑑𝑑𝐹𝐹1
𝑑𝑑𝑑𝑑1
= 0.01𝑃𝑃1 + 20 Rs./MWh
𝑑𝑑𝐹𝐹2
𝑑𝑑𝑑𝑑2
= 0.015𝑃𝑃2 + 22.5 Rs./MWh
∂PL
The system is running under optimal schedule with P1=P2= 100MW. If ∂P2
= 0.2, find
∂PL
the plant penalty factors and ∂P1
. (Ans:1.428, 1.25,0.3)
Q.5. A two bus system is shown in the figure. If 100MW is transmitted from plant 1 to the
load, a loss of 10 MW is incurred. System incremental cost is λ=Rs.30/MWh. Find if
P1, P2, Ploss are power received by load if
Q.6. The fuel cost in $/h for two 800 MW plants is given by:
F1 = 400 + 6.0 PG1 + 0.004 PG12
F2 = 500 + b2 PG2 + c2 PG22
where PG1, PG2 are in MW
(a) The incremental cost of power, λ is $8 / MWh when total demand is 550MW.
Determine optimal generation schedule neglecting losses.
(b) The incremental cost of power is $10/MWh when total demand is 1300 MW.
Determine optimal schedule neglecting losses.
(c) From (a) and (b) find the coefficients b2 and c2. (Ans: 6.8, 0.002)
Q.10.