The 6-bus power system network of an electric utility company is shown in the Figure below. The line and transformer data containing the subtransient series resistance and reactance in per unit, and one-half of the total capacitance in per unit susceptance on a 100-MVA base, is tabulated below. The prefault voltage profile of the power system as obtained from four iterations of the newton Raphson power flow method are provided below as well.

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
Chapter3: Power Transformers
Section: Chapter Questions
Problem 3.64P: The per-unit equivalent circuit of two transformers Ta and Tb connected in parallel, with the same...
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The 6-bus power system network of an electric utility company is shown in the Figure below. The line and transformer data containing the subtransient series resistance and reactance in per unit, and one-half of the total capacitance in per unit susceptance on a 100-MVA base, is tabulated below. The prefault voltage profile of the power system as obtained from four iterations of the newton Raphson power flow method are provided below as well.
Bus 1
Bus 1
Bus 2
Bus 3
Bus 4
Bus 5
0.0034 +0.0946i
-0.0019 +0.0443i
-0.0012 +0.0596i
-0.0023 +0.0547i
-0.0014 + 0.0697i
Bus 6 -0.0003 +0.0696i
3
1)
2)
3)
4)
Line and Transformer subtransient Data
Bus # Bus # R (PU)
X (PU) ½ B (PU)
1
4
0.035
0.225
1
5
0.025
0.105
1
6
0.040
0.215
2
4
0.000 0.035
3
5
0.000 0.042
4
6
0.028 0.125
5
6
0.026 0.175
5)
6)
7)
8)
9)
10)
100
5
&
0.0065
0.0045
0.0055
0.0000
0.0000
0.0035
0.0300
Bus 2
-0.0019 +0.0443i
0.0026 +0.0964.
-0.0020 + 0.0353i
0.0032 +0.0839i
-0.0023 +0.0412i
-0.0004 +0.0607i
Bus 1
Bus 2
Bus 3
-0.0012 + 0.0596i
-0.0020 + 0.0353i
0.0048 +0.1185i
-0.0025 +0.0435i
0.0056 + 0.0964.
0.0011 +0.0642i
Bus 3
Bus 4
Bus 5
Bus 6
B&O
System Impedance matrix
6
Pre-fault bus voltage
Voltage Magnitude (PU)
1.06
1.04
1.03
1.008
1.016
0.941
Bus 4
-0.0023 +0.0547i
0.0032 +0.0839i
-0.0025 +0.0435i
0.0039 +0.1035i
-0.0029 +0.0508i
-0.0005 +0.0748i
If a bolted three phase to ground fault occurred at bus six, find the following:
The total fault current passing to ground.
The change in injection currents at all the busses in the system.
The change in voltage due to the fault at bus four.
The change in voltage due to the fault at bus six.
The voltage during the fault at bus four.
The voltage during the fault at bus six.
The difference in voltage between bus four and six prior to the fault.
The difference in voltage between bus four and six during the fault.
The current flowing through transmission line (4-6) prior the fault.
The current flowing through transmission line (4-6) during the fault.
Bus 5
-0.0014 +0.0697i
-0.0023 +0.0412i
0.0056 + 0.0964.
-0.0029 +0.0508i
0.0066 +0.1126i
0.0013 +0.0750i
Angle(o)
0
1.47
0.8
-1.401
-1.499
-5.607
Bus 6
-0.0003 +0.0696i
-0.0004 + 0.0607i
0.0011 +0.0642i
-0.0005 + 0.0748i
0.0013 +0.0750i
0.0106 +0.1283i
Transcribed Image Text:Bus 1 Bus 1 Bus 2 Bus 3 Bus 4 Bus 5 0.0034 +0.0946i -0.0019 +0.0443i -0.0012 +0.0596i -0.0023 +0.0547i -0.0014 + 0.0697i Bus 6 -0.0003 +0.0696i 3 1) 2) 3) 4) Line and Transformer subtransient Data Bus # Bus # R (PU) X (PU) ½ B (PU) 1 4 0.035 0.225 1 5 0.025 0.105 1 6 0.040 0.215 2 4 0.000 0.035 3 5 0.000 0.042 4 6 0.028 0.125 5 6 0.026 0.175 5) 6) 7) 8) 9) 10) 100 5 & 0.0065 0.0045 0.0055 0.0000 0.0000 0.0035 0.0300 Bus 2 -0.0019 +0.0443i 0.0026 +0.0964. -0.0020 + 0.0353i 0.0032 +0.0839i -0.0023 +0.0412i -0.0004 +0.0607i Bus 1 Bus 2 Bus 3 -0.0012 + 0.0596i -0.0020 + 0.0353i 0.0048 +0.1185i -0.0025 +0.0435i 0.0056 + 0.0964. 0.0011 +0.0642i Bus 3 Bus 4 Bus 5 Bus 6 B&O System Impedance matrix 6 Pre-fault bus voltage Voltage Magnitude (PU) 1.06 1.04 1.03 1.008 1.016 0.941 Bus 4 -0.0023 +0.0547i 0.0032 +0.0839i -0.0025 +0.0435i 0.0039 +0.1035i -0.0029 +0.0508i -0.0005 +0.0748i If a bolted three phase to ground fault occurred at bus six, find the following: The total fault current passing to ground. The change in injection currents at all the busses in the system. The change in voltage due to the fault at bus four. The change in voltage due to the fault at bus six. The voltage during the fault at bus four. The voltage during the fault at bus six. The difference in voltage between bus four and six prior to the fault. The difference in voltage between bus four and six during the fault. The current flowing through transmission line (4-6) prior the fault. The current flowing through transmission line (4-6) during the fault. Bus 5 -0.0014 +0.0697i -0.0023 +0.0412i 0.0056 + 0.0964. -0.0029 +0.0508i 0.0066 +0.1126i 0.0013 +0.0750i Angle(o) 0 1.47 0.8 -1.401 -1.499 -5.607 Bus 6 -0.0003 +0.0696i -0.0004 + 0.0607i 0.0011 +0.0642i -0.0005 + 0.0748i 0.0013 +0.0750i 0.0106 +0.1283i
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