For a 4-bus network, the upper and lower matrices are shown below. [-j16.75 0 0 j11.75 0 0 j2.5 -j3.78305 0 j2.5 j2.98305 -j1.43082] L = L*U* Z³ = 3-4 bus Using L&U, find ZTH,3-4 ZTH,3-4 = 0 0 B. 3-4 UZ = X; Z3-4 bus - = 0 -j11.00746 j4.25373 j6.75373 -0.70149 1 - 0 ; L * X = 0 0 0 [Z13 Z14 Z23-Z24 Z33 Z34 [Z43-Z44] - -0.14925 -0.14925 -0.38644 -0.61356 1 -0.78853 1 0 P.S. Use 5 decimal digits precision. X = 0 0 j0.26434 -j0. 1478 (Z33 Z34) (Z43 - Z44) = j0.2956 -j0.023551 -j0.03357 j0.14780 -j0. 14780]

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
Chapter6: Power Flows
Section: Chapter Questions
Problem 6.12MCQ
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Please solve this problems to understand the methods
Problem 1:
For a 4-bus network, the upper and lower matrices are shown below.
-j16.75
j11.75
j2.5
j2.5
L =
U =
Using L&U, find ZTH,3-4
L* U * 23***
bus
ZTH,3-4
UZ = X; Zbus
*
bus
=
0
-j11.00746
j4.25373
j6.75373
-0.70149
1
0
0
; L * X =
-
[Z13 Z14]
Z23-Z24
Z33 Z34
Z43 - Z44]
=
; X =
0
0
0
0
-j3.78305
0
j2.98305 -j1.43082]
-0.14925 -0.14925
-0.38644 -0.61356
1
-0.78853
1
0
P.S. Use 5 decimal digits precision.
=
= (Z33 Z34) (Z43 - Z44) = j0. 2956
0
0
j0. 26434
-j0. 1478
-j0. 023551
-j0.03357
j0.14780
[-j0. 14780]
Transcribed Image Text:Problem 1: For a 4-bus network, the upper and lower matrices are shown below. -j16.75 j11.75 j2.5 j2.5 L = U = Using L&U, find ZTH,3-4 L* U * 23*** bus ZTH,3-4 UZ = X; Zbus * bus = 0 -j11.00746 j4.25373 j6.75373 -0.70149 1 0 0 ; L * X = - [Z13 Z14] Z23-Z24 Z33 Z34 Z43 - Z44] = ; X = 0 0 0 0 -j3.78305 0 j2.98305 -j1.43082] -0.14925 -0.14925 -0.38644 -0.61356 1 -0.78853 1 0 P.S. Use 5 decimal digits precision. = = (Z33 Z34) (Z43 - Z44) = j0. 2956 0 0 j0. 26434 -j0. 1478 -j0. 023551 -j0.03357 j0.14780 [-j0. 14780]
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