COMPETITIVE EXAMINATION QUESTIONS
  1. The incremental cost characteristics of two generators delivering 200 MW are as follows:

    dF1/dP1 = 2.0 + 0.01 P1    dF2/dP2 = 1.6 + 0.02 P2. For economic operation, the generators P1 and P2 should be    (G2000)

    1. P1 = P2 = 100 MW
    2. P1 = 80 MW,   P2 = 120 MW
    3. P1 = 200 MW,   P2 = 0 MW
    4. P1 = 120 MW,   P2 = 80 MW
  2. 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

    1. 47.5 Hz
    2. 48.0 Hz
    3. 48.5 Hz
    4. 49.0 Hz
  3. 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

    1. P1 = 242.86MW   P2 = 157.14MW;   and   P3 = 300MW
    2. P1 = 157.14 MW   P2 = 242.86 MW;   and   P3 = 300 MW
    3. P1 = 300.0 MW   P2 = 300.0 MW;   and   P3 = 100 MW
    4. P1 = 233.3 MW   P2 = 233.3 MW;   and   P3 = 233.4 MW
  4. 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
    1. 1000MW
    2. 1250MW
    3. 750MW
    4. 1500MW
  5. 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

    1. Rs.55 per MWh
    2. Rs.55 per MW
    3. Rs.33 per MWh
    4. Rs.33 per MW
  6. 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?
    1. 60 MW and 40 MW
    2. 50 MW each
    3. 72 MW and 28 MW
    4. 30 MW and 70 MW
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