Consider the two-bus power system shown in Figure P6.2. The marginal cost of production of the generators connected to buses A and B are given respectively by the following expressions:

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4G
Ili. * a
O P ® 17:12
pdf . 2-27-4 0-1 9-4-1 201_7926 - לק ריאה בלבד
ビy
Fan
D, = 2000 MW
D = 1000 MW
Figure P6.2 Two-bus power system for Problems 6.2, 6.3, 6.4, 6.10 and 6.11
6.2 Consider the two-bus power system shown in Figure P6.2. The marginal cost of
production of the generators connected to buses A and B are given respectively
by the following expressions:
MСл 3 20 + 0.03 Р, S/MWh
MCB = 15 + 0.02 Pg S/MWh
Assume that the demand is constant and insensitive to price, that energy is sold
at its marginal cost of production and that there are no limits on the output of
the generators. Calculate the price of electricity at each bus, the production of
each generator and the flow on the line for the following cases:
a. The line between buses A and B is disconnected
b. The line between buses A and B is in service and has an unlimited capacity
c. The line between buses A and B is in service and has an unlimited capacity,
but the maximum output of Generator B is 1500 MW
d. The line between buses A and B is in service and has an unlimited capac-
ity, but the maximum output of Generator A is 900 MW. The output of
Generator B is unlimited.
The line between buses A and B is in service but its capacity is limited to
600 MW. The output of the generators is unlimited.
e.
6.3
Calculate the generator revenues and the consumer payments for all the cases
considered in Problem 6.2. Who benefits from the line connecting these two
buses?
6.4 Calculate the congestion surplus for case (e) of Problem 6.2. Check your answer
using the results of Problem 6.3. For what values of the flow on the line between
buses A and B is the congestion surplus equal to zero?
6.5 Consider the three-bus power system shown in Figure P6.5 The table below
shows the data about the generators connected to this system. Calculate the
unconstrained economic dispatch and the nodal prices for the loading conditions
shown in Figure P6.5.
6.5 PROBLEMS
203
B
400 MW
80 MW
2
3
40 MW
II
<>
Transcribed Image Text:4G Ili. * a O P ® 17:12 pdf . 2-27-4 0-1 9-4-1 201_7926 - לק ריאה בלבד ビy Fan D, = 2000 MW D = 1000 MW Figure P6.2 Two-bus power system for Problems 6.2, 6.3, 6.4, 6.10 and 6.11 6.2 Consider the two-bus power system shown in Figure P6.2. The marginal cost of production of the generators connected to buses A and B are given respectively by the following expressions: MСл 3 20 + 0.03 Р, S/MWh MCB = 15 + 0.02 Pg S/MWh Assume that the demand is constant and insensitive to price, that energy is sold at its marginal cost of production and that there are no limits on the output of the generators. Calculate the price of electricity at each bus, the production of each generator and the flow on the line for the following cases: a. The line between buses A and B is disconnected b. The line between buses A and B is in service and has an unlimited capacity c. The line between buses A and B is in service and has an unlimited capacity, but the maximum output of Generator B is 1500 MW d. The line between buses A and B is in service and has an unlimited capac- ity, but the maximum output of Generator A is 900 MW. The output of Generator B is unlimited. The line between buses A and B is in service but its capacity is limited to 600 MW. The output of the generators is unlimited. e. 6.3 Calculate the generator revenues and the consumer payments for all the cases considered in Problem 6.2. Who benefits from the line connecting these two buses? 6.4 Calculate the congestion surplus for case (e) of Problem 6.2. Check your answer using the results of Problem 6.3. For what values of the flow on the line between buses A and B is the congestion surplus equal to zero? 6.5 Consider the three-bus power system shown in Figure P6.5 The table below shows the data about the generators connected to this system. Calculate the unconstrained economic dispatch and the nodal prices for the loading conditions shown in Figure P6.5. 6.5 PROBLEMS 203 B 400 MW 80 MW 2 3 40 MW II <>
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