ECE 6300 TRANSMISSION SYSTEMS CONTROL SPRING 2016 PROJECT #3
DUE 03/28/2016
The single-line diagram of a 10-bus three-phase power system is shown in Fig. 1. The
power system has 7 generation units, 2 345-kV lines, 7 230-kV lines, and 4 transformers.
The per-unit transformer leakage reactances, transmission-line series impedances, real
power generation, and real and reactive loads during heavy load periods, all on a 100
MVA system base, are given on the diagram. Fixed transformer tap settings are also
shown. During light load periods, the real and reactive loads (and generation) are 25% of
those shown. Bus 1 is swing/slack bus. Additional data are given in Table 1.
1
G6
3.0
2
1:1.048
G2
3.0
G7
4
7
10 1:1
6
0.013 + j0.139
0.025 + j0.151 0.031 + j0.188 0.026 + j0.159
B = 1.687
3
8
B = 0.366
B = 0.294
j0.021
j0.015
1:1.048
1:1
B = 0.309
1.21
1.94
4.0
2.5
2.0
2.0
G4
2.0
G5
0.013 + j0.139
G1
G3
B = 1.687
j0.021
0.054 + j0.325
j0.015
22 kV Buses: 2, 3
230 kV Buses: 1, 5, 6, 7, 8, 9
345 kV Buses: 4, 10
System Base = 100 MVA (3-phase)
Bus 1: Swing Bus V1 = 1.0/0o p.u.
Constant Voltage Magnitude Busses
Bus2: V = 1.0 p.u.; -1.45 < QG < +1.45 p.u.
Bus3: V = 1.0 p.u.; -1.45 < QG < +1.45 p.u.
Bus8: V = 1.0 p.u.; -1.95 < QG < +1.95 p.u.
B = 0.632
5
9
0.034 + j0.203 0.03 + j0.181 0.025 + j0.148
B = 0.395
B = 0.352
0.48
1.0
1.7
B = 0.287
0.97
3.5
Fig. 1 Single-line Diagram for 10-Bus Power System
2.0
0.726
1.5
Table 1 Constant Voltage Magnitude Buses
Bus
Voltage (p.u.)
2
3
8
1.0
1.0
1.0
System Base Quantities:
(a)
(b)
(c)
(d)
(e)
(f)
(g)
QG (p.u.)
Minimum
-1.45
-1.45
-1.45
Maximum
+1.45
+1.45
+1.45
Sbase = 100 MVA (three-phase)
Convert, where necessary, all the load, line, and voltage data into per unit using the
appropriate base quantities.
Determine the per-unit bus impedance matrices.
Determine the per-unit bus admittance matrices.
Using ETAP Simulator, create input data files: generator data, bus input data, line
input data, and transformer input data. Bus 1 is the slack bus (swing bus)
Using the ETAP Simulator, perform an initial power-flow solution to verify the base
case system operation.
Using the ETAP Simulator, determine
(i)
The amount of shunt power compensation required at 230- and 345-kV busses
such that the voltage magnitude 0.99 < V < 1.02 p.u. at all buses during both
light and heavy loads. Find two settings for the compensation, one for light
and heavy loads.
(ii) The amount of series compensation required during heavy loads on each 345kV line such that there is a maximum of 40o angular displacement between
bus 4 and bus 10. Assume that one 345-kV line is out of service. Also assume
that the series compensation is effectively distributed such that the net series
reactance of each 345-kV line is reduced by the percentage compensation.
Determine the percentage series compensation to within +10%.
(i)
A 3 single-phase AC-DC rectifiers are connected to bus 6; the original load
(1.0 + j0.48 p.u.) is removed. The load carried by each rectifier (in each phase) is
100 Ω.
(ii) An inductive load of 0.1 + j2.5 p.u. is connected to bus 7 (original load is
removed).
Using ETAP Simulator identify the magnitude of current harmonics at all the
generator buses and the reactive power at bus 7.
1) Design static compensator to improve the power factor at bus 7 to 0.95,
and 2) Design harmonic compensators (installed at the generator buses) to
reduce the total harmonic distortion of the current at all the generator buses to
5%. Use ETAP Simulator in your design.