1
GATE EE 2005
+2
-0.6
A load centre is at an equidistant from the two thermal generating stations $${G_1}$$ and $${G_2}$$ as shown in figure. The fuel cost characteristics of the generating stations are given by
$${F_1} = a + b{P_1} + cP_1^2\,Rs/hour$$
$${F_2} = a + b{P_2} + 2cP_2^2\,Rs/hour$$

Where $${P_1}$$ and $${P_2}$$ are the generations in $$MW$$ of $${G_1}$$and $${G_2}$$, respectively. For most economic generation to meet $$300MW$$ of load $${P_1}$$ and $${P_2},$$ respectively, are

A
$$150, 150$$
B
$$100, 200$$
C
$$200, 100$$
D
$$175, 125$$
2
GATE EE 2003
+2
-0.6
Incremental fuel costs (in some appropriate unit) for a power plant consisting of three generating units are
$${\rm I}{C_1} = 20 + 0.3\,\,{P_1},\,{\rm I}{C_2} = 30 + 0.4\,\,{P_2},\,{\rm I}{C_3} = 30$$
Assume that all the three units are operating all the time. Minimum and maximum loads on each unit are $$50$$ $$MW$$ and $$300$$ $$MW$$ respectively. If the plant is operating on economic load dispatch to supply the total power demand of $$700$$ $$MW$$, the power generated by each unit is
A
$${P_1} = 242.86MW;{P_2} = 157.14MW;$$ and $${P_3} = 300MW$$
B
$${P_1} = 157.14MW;{P_2} = 242.86MW;$$ and $${P_3} = 300MW$$
C
$${P_1} = 300.00MW;{P_2} = 300.00MW;$$ and $${P_3} = 100MW$$
D
$${P_1} = 242.86MW;{P_2} = 157.14MW;$$ and $${P_3} = 100MW$$
3
GATE EE 2000
+2
-0.6
The incremental cost characteristic of two generators delivering $$200$$ $$MW$$ are as follows $$\,\,\,{{d{F_1}} \over {d{P_1}}} = 20 + 0.1{P_1},\,\,{{d{F_2}} \over {d{P_2}}} = 16 + 0.2{P_2}$$
For economic operation, the generations $${P_1}$$ and $${P_2}$$ should be
A
$${P_1} = {P_2} = 100\,MW$$
B
$${P_1} = 80MW,\,\,{P_2} = 120\,MW$$
C
$${P_1} = 200MW,\,\,{P_2} = 0\,MW$$
D
$${P_1} = 120MW,\,\,{P_2} = 80\,MW$$
4
GATE EE 1999
+2
-0.6
An industrial consumer has a daily load pattern of $$2000$$ $$kW$$, $$0.8$$ lag for $$12$$ Hrs. and $$1000$$ $$kW$$ $$UPF$$ for $$12$$ Hrs. The load factor is
A
$$0.5$$
B
$$0.75$$
C
$$0.6$$
D
$$2.0$$
EXAM MAP
Medical
NEET