PA FAB DA = 2000 MW DB = 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: MCA = 20 + 0.03 PA $/MWh MCB = 15 +0.02 Pg $/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: а. 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 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 с. d. The line between buses A and B is in service and has an unlimited capac- ity, but the maximum put 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. е.

Power System Analysis and Design (MindTap Course List)
6th Edition
ISBN:9781305632134
Author:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Publisher:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Chapter11: Transient Stability
Section: Chapter Questions
Problem 11.10P
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A
В
PA
FAB
Рв
DA = 2000 MW
DB = 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:
MCA
= 20 + 0.03 PA $/MWh
MCB = 15 + 0.02 Pg $/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:
а.
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
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
с.
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.
е.
Transcribed Image Text:A В PA FAB Рв DA = 2000 MW DB = 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: MCA = 20 + 0.03 PA $/MWh MCB = 15 + 0.02 Pg $/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: а. 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 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 с. 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. е.
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