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,
you must show how you got your answers or you will receive ZERO score.
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.