The incremental cost characteristics of two generators delivering 200 MW are as follows:
dF1/dP1 = 2.0 + 0.01 P1dF2/dP2 = 1.6 + 0.02 P2. For economic operation, the generators P1 and P2 should be (G2000)
P1 = P2 = 100 MW
P1 = 80 MW, P2 = 120 MW
P1 = 200 MW, P2 = 0 MW
P1 = 120 MW, P2 = 80 MW
A power system has two synchronous generators. The governor – turbine characteristics corresponding to the generators are (G2001)
P1 = 50 (50 − f) P2 = 100 (51 − f)
where f denotes the system frequency in Hz, and P1 and P2 are respectively, the power outputs (in MW) of turbines 1 and 2. Assuming the generators and transmission network to be lossless, the system frequency for a total load of 400 MW is
47.5 Hz
48.0 Hz
48.5 Hz
49.0 Hz
Incremental fuel costs (in some appropriate unit) for a power plant consisting of three generating units are (G2003)
IC1 = 20 + 0.3 P1
IC2 = 30 + 0.4 P2
IC3 = 30
where P1 is the power in MW generated by unit i, for i = 1, 2 and 3. Assume that all the three units are operating all the time. Minimum and maximum loads on each unit are 50 and 300 MW respectively. If the plant is operating on economic load dispatch to supply a total power demand of 700 MW, the power generated by each unit is
P1 = 242.86MW P2 = 157.14MW; and P3 = 300MW
P1 = 157.14 MW P2 = 242.86 MW; and P3 = 300 MW
P1 = 300.0 MW P2 = 300.0 MW; and P3 = 100 MW
P1 = 233.3 MW P2 = 233.3 MW; and P3 = 233.4 MW
If, for a given alternator in economic operation mode, the incremental cost is given by (0.012P + 8)Rs./MWh dPL/dP = 0.2 and plant λ = 25, then the power generation is
1000MW
1250MW
750MW
1500MW
The cost function of a 50 MW generation is given by (P1 is the generator, loading)
F (P1) = 225 + 53Pi + 0.02Pi2
when 100% loading is
Rs.55 per MWh
Rs.55 per MW
Rs.33 per MWh
Rs.33 per MW
Two generating stations connected to a load centre having capacity of 50 MVA and 75 MVA deliver 100 MW to the load. The incremental cost of plant 1 is 15 + 0.15P1 and that of the plant 2 is 18 + 0.15P2. What are the value of P1 and P2, respectively?