load flow for the 3 bus system shown in the figure. You should assume that bus 3 is the slack bus and that the power base is 100 MVA. That is, find the voltage angles 01,02,03 at all the buses and the input real power P3 at bus 3. Then find the real power flows P12, P23, P31 on all three lines.

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load flow for the 3 bus system shown in the figure. You should assume that bus 3 is
the slack bus and that the power base is 100 MVA. That is, find the voltage angles
01, 02, 03 at all the buses and the input real power P3 at bus 3. Then find the real
power flows P12, P23, P31 on all three lines.
(b) Now assume that the load on bus 2 increases to 120 MW. Recalculate the load
flow and the flows on the three lines. (You can use superposition if you want.)
(c) Now assume that the load on bus 2 is changed back to its original value of 100
MW. Power systems are operated so that any single contingency in a contingency
list can happen and the system will still operate within limits. Suppose that the
contingency list is the outage of generator 1, the outage of line 1-2, and the outage
of line 2-3. What are the minimum line flow limits for all three lines for which
the system stays within these limits for the base case and for each of the three
contingencies?
Transcribed Image Text:load flow for the 3 bus system shown in the figure. You should assume that bus 3 is the slack bus and that the power base is 100 MVA. That is, find the voltage angles 01, 02, 03 at all the buses and the input real power P3 at bus 3. Then find the real power flows P12, P23, P31 on all three lines. (b) Now assume that the load on bus 2 increases to 120 MW. Recalculate the load flow and the flows on the three lines. (You can use superposition if you want.) (c) Now assume that the load on bus 2 is changed back to its original value of 100 MW. Power systems are operated so that any single contingency in a contingency list can happen and the system will still operate within limits. Suppose that the contingency list is the outage of generator 1, the outage of line 1-2, and the outage of line 2-3. What are the minimum line flow limits for all three lines for which the system stays within these limits for the base case and for each of the three contingencies?
Bus 1
Bus 2
X12 = 0.2 per unit
100 MW
65 MW
X23
= 0.25 per unit
X13
= 0.4 per unit
Bus 3 (reference)
FIG. 4.10 Three-bus network.
(3)
(a) First find the bus susceptance matrix, and then set up and solve the DC
Transcribed Image Text:Bus 1 Bus 2 X12 = 0.2 per unit 100 MW 65 MW X23 = 0.25 per unit X13 = 0.4 per unit Bus 3 (reference) FIG. 4.10 Three-bus network. (3) (a) First find the bus susceptance matrix, and then set up and solve the DC
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