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```ECE 4300/5300 ELECTRIC POWER SYSTEMS SPRING 2016 HW #6
DUE: 04/04/2016
NOTE**: There are answers to some of the problems at the end of the book. To get full credit,
1.
Use the Newton-Raphson method to solve
f1 ( x)  x12  x2  1  0
f 2 ( x)   x1  x22  1  0
x1(0) = 1 and x2(0) = 1, and a stopping criteria  = 10-4.
2.
Problem #6.11 pp. 291.
3.
The Fig. P3.1 shows the one-line diagram of a simple four-bus power
system. It is given that all the lines are characterized by a series impedance
of 0.1 + j0.7 Ω/km and a shunt admittance of j0.35 x 10-5 S/km. Lines are
rated at 220 kV. Use the base values 220 kV and 100 MVA. Take ground as
a reference. Express all impedances and admittances in per unit.
Perform a load flow study for the system of Fig. P3.1. The bus power and
voltage specifications are given Table P3.1.
1
2
100 km
150 km
110 km
100 km
120 km
4
Fig. P3.1
3
Table P3.1
Bus
1
2
3
4
Bus Power (p.u.)
Real
Reactive
Unspecified Unspecified
0.95
Unspecified
-2.0
-1.0
-1.0
-0.2
Voltage Magnitude (p.u.)
Bus Type
1.02
1.01
Unspecified
Unspecified
Slack
PV
PQ
PQ
Compute the unspecified bus voltages, all bus powers, and all line flows. Assume
unlimited Q sources.
```