Question 1 Compose the nodal equations. Multiply with the least common factor to remove fractions. 5/0° A (4) -j2 2 j10 Ω all 20/90° V V2 V3 8 Ω -j2 2 @node 1: Y11V1 + Y12V2 + Y13V3 = Isc1 @node 2: Y21V1 + Y22V2 + Y23V3 = Isc2 %3D @node 3: Y31V1 + Y32V2 + Y33V3 = Isc3 RE IM RE IM RE IM RE IM Blan k5 Blan Blan Blan Blan Blan Blan Blan Y11 Y12 Y13 %3D k1 k 2 k3 k 4 k 6 k 7 k 8 Blan Blan k 10 Blan Blan k 13 Blan k 16 Blan Blan Blan Y21 Y22 Y23 k 9 k 11 k 12 k 14 k 15 Blan Blan k 17 Blan k 18 Blan Blan k 20 k 19 Blan k 21 Blan Blan Y31 Y32 Y33 %3D k 22 k 23 k 24 Question 2 Compose the node equation. Multiply with the least common factor to remove fractions. 10 Q j10 2 j10 O ... Vx 10 V sine 15 V -j10 O sine @node x: Y11V× = Isc1 RE IM RE IM Y11 Blank 1 Blank 2 Blank 3 Blank 4 Blank 1 Add your answer Blank 2 Add your answer Blank 3 Add your answer Blank 4 Add your answer Question 3 Solve for the node voltage in the previous problem. O DO NOT include "o" in the angle. VOLT(S) MAGNITUDE ANGLE Vx Blank 1 Blank 2

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 6.61P
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Question 1
Compose the nodal equations.
Multiply with the least common factor to remove fractions.
5/0° A (4)
-j2 2
j10 Ω
all
20/90° V
V2
V3
8 Ω
-j2 2
@node 1:
Y11V1 + Y12V2 + Y13V3 = Isc1
@node 2:
Y21V1 + Y22V2 + Y23V3 = Isc2
%3D
@node 3:
Y31V1 + Y32V2 + Y33V3 = Isc3
RE
IM
RE
IM
RE
IM
RE
IM
Blan
k5
Blan
Blan
Blan
Blan
Blan
Blan
Blan
Y11
Y12
Y13
%3D
k1
k 2
k3
k 4
k 6
k 7
k 8
Blan
Blan
k 10
Blan
Blan
k 13
Blan
k 16
Blan
Blan
Blan
Y21
Y22
Y23
k 9
k 11
k 12
k 14
k 15
Blan
Blan
k 17
Blan
k 18
Blan
Blan
k 20
k 19
Blan
k 21
Blan
Blan
Y31
Y32
Y33
%3D
k 22
k 23
k 24
Transcribed Image Text:Question 1 Compose the nodal equations. Multiply with the least common factor to remove fractions. 5/0° A (4) -j2 2 j10 Ω all 20/90° V V2 V3 8 Ω -j2 2 @node 1: Y11V1 + Y12V2 + Y13V3 = Isc1 @node 2: Y21V1 + Y22V2 + Y23V3 = Isc2 %3D @node 3: Y31V1 + Y32V2 + Y33V3 = Isc3 RE IM RE IM RE IM RE IM Blan k5 Blan Blan Blan Blan Blan Blan Blan Y11 Y12 Y13 %3D k1 k 2 k3 k 4 k 6 k 7 k 8 Blan Blan k 10 Blan Blan k 13 Blan k 16 Blan Blan Blan Y21 Y22 Y23 k 9 k 11 k 12 k 14 k 15 Blan Blan k 17 Blan k 18 Blan Blan k 20 k 19 Blan k 21 Blan Blan Y31 Y32 Y33 %3D k 22 k 23 k 24
Question 2
Compose the node equation.
Multiply with the least common factor to remove fractions.
10 Q
j10 2
j10 O
...
Vx
10 V
sine
15 V
-j10 O
sine
@node x:
Y11V× = Isc1
RE
IM
RE
IM
Y11
Blank 1
Blank 2
Blank 3
Blank 4
Blank 1
Add your answer
Blank 2
Add your answer
Blank 3
Add your answer
Blank 4
Add your answer
Question 3
Solve for the node voltage in the previous problem.
O DO NOT include "o" in the angle.
VOLT(S)
MAGNITUDE
ANGLE
Vx
Blank 1
Blank 2
Transcribed Image Text:Question 2 Compose the node equation. Multiply with the least common factor to remove fractions. 10 Q j10 2 j10 O ... Vx 10 V sine 15 V -j10 O sine @node x: Y11V× = Isc1 RE IM RE IM Y11 Blank 1 Blank 2 Blank 3 Blank 4 Blank 1 Add your answer Blank 2 Add your answer Blank 3 Add your answer Blank 4 Add your answer Question 3 Solve for the node voltage in the previous problem. O DO NOT include "o" in the angle. VOLT(S) MAGNITUDE ANGLE Vx Blank 1 Blank 2
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