1
GATE EE 2022
+1
-0.33

The fuel cost functions in rupees/hour for two 600 MW thermal power plants are given by

Plant 1 : C1 = 350 + 6P1 + 0.004P$$_1^2$$

Plant 2 : C2 = 450 + aP2 + 0.003P$$_2^2$$

where P1 and P2 are power generated by plant 1 and plant 2, respectively, in MW and a is constant. The incremental cost of power ($$\lambda$$) is 8 rupees per MWh. The two thermal power plants together meet a total power demand of 550 MW. The optimal generation of plant 1 and plant 2 in MW, respectively, are

A
200, 350
B
250, 300
C
325, 225
D
350, 200
2
GATE EE 2012
+1
-0.3
The figure shows a two-generator system supplying a load of $${P_D} = 40\,MW,$$ connected at bus $$2.$$

The fuel cost of generators $${G_1}$$ and $${G_2}$$ are: $${C_1}\left( {{P_{G1}}} \right) = 10,000\,\,Rs/MWhr$$ and $${C_2}\left( {{P_{G2}}} \right) = 12,500\,\,Rs/MWhr$$ and the loss in the line is $$\,{P_{loss(pu)}} = 0.5\,\,P_{G1\left( {pu} \right),}^2\,\,\,\,$$ where the loss coefficient is specified in pu on a $$100$$ $$MVA$$ base. The most economic power generation schedule in $$MW$$ is

A
$${P_{G1}} = 20,\,{P_{G2}} = 22$$
B
$${P_{G1}} = 22,\,{P_{G2}} = 20$$
C
$${P_{G1}} = 20,\,{P_{G2}} = 22$$
D
$${P_{G1}} = 0,\,{P_{G2}} = 40$$
3
GATE EE 2007
+1
-0.3
The incremental cost curves in Rs/MWhr for two generators supplying a common load of $$700$$ MW are shown in the figures. The maximum and minimum generation limits are also indicated. The optimum generation schedule is:
A
Generator A : $$400$$ MW,
Generator B : $$300$$ MW
B
Generator A : $$350$$ MW,
Generator B : $$350$$ MW
C
Generator A : $$450$$ MW,
Generator B : $$250$$ MW
D
Generator A : $$425$$ MW,
Generator B : $$275$$ MW
4
GATE EE 1995
+1
-0.3
In order to have a lower cost of electrical energy generation,
A
The load factor and diversity factor should be low
B
The load factor should be low but diversity factor should be high
C
The load factor should be high but diversity factor should be low
D
The load factor and diversity factor should be high
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