Power Systems online quiz on “Symmetrical Component Transformation – 2”.
1. The transmission line equations are given by the below set of equations based on the line diagram as given. Identify A and B parameters.
Vs = A*Vr+B*Ir
Is = C*Vr+D*Ir
A. 1+YZ, Z
B. Z,Y
C. Y, 1+YZ
D. 1+YZ, Y-1+Z
Answer: A
Clarification: Using KVL to the line diagram,
Vs = (1+YZ)*Vr+Z*Ir
Is = Y*Vr+Ir.
2. The transmission line equations are given by the below set of equations based on the line diagram as given. Identify A and C parameters.
Vs = A*Vr+B*Ir
Is = C*Vr+D*Ir
A. 1+YZ, Z
B. Z,Y
C. 1+YZ, Y
D. 1+YZ, Y-1+Z
Answer: C
Clarification: Using KVL to the line diagram,
Vs = (1+YZ)*Vr+Z*Ir
Is = Y*Vr+Ir.
3. The transmission line equations are given by the below set of equations based on the line diagram as given. Identify A and D parameters.
Vs = A*Vr+B*Ir
Is = C*Vr+D*Ir
A. 1+YZ, 1
B. 1+YZ, Z
C. Y, 1+YZ
D. 1+YZ, Y-1+Z
Answer: A
Clarification: Using KVL to the line diagram,
Vs = (1+YZ)*Vr+Z*Ir
Is = Y*Vr+Ir.
4. The transmission line equations are given by the below set of equations based on the line diagram as given. Identify B and A parameters.
Vs = A*Vr+B*Ir
Is = C*Vr+D*Ir
A. 1+YZ, Z
B. Z,YZ+1
C. Z, 1+YZ
D. 1+YZ, Y-1+Z
Answer: B
Clarification: Using KVL to the line diagram,
Vs = (1+YZ)*Vr+Z*Ir
Is = Y*Vr+Ir.
5. The transmission line equations are given by the below set of equations based on the line diagram as given. Identify C and A parameters.
Vs = A*Vr+B*Ir
Is = C*Vr+D*Ir
A. 1+YZ, Z
B. Z,Y
C. Y, 1+YZ
D. 1+YZ, Y-1+Z
Answer: C
Clarification: Using KVL to the line diagram,
Vs = (1+YZ)*Vr+Z*Ir
Is = Y*Vr+Ir.
6. The transmission line equations are given by the below set of equations based on the line diagram as given. Identify D and A parameters.
Vs = A*Vr+B*Ir
Is = C*Vr+D*Ir
A. 1+YZ, Z
B. 1+ZY, 1
C. Y, 1+YZ
D. 1, 1+YZ
Answer: A
Clarification: Using KVL to the line diagram,
Vs = (1+YZ)*Vr+Z*Ir
Is = Y*Vr+Ir.
7. The transmission line equations are given by the below set of equations based on the line diagram as given. Identify A and B parameters and find AB value.
Vs = A*Vr+B*Ir
Is = C*Vr+D*Ir
A. (1+YZ)* Z
B. 1+YZ* Z
C. Y*( 1+YZ)
D. (1+YZ)*Y-1+Z
Answer: A
Clarification: Using KVL to the line diagram,
Vs = (1+YZ)*Vr+Z*Ir
Is = Y*Vr+Ir.
8. The transmission line equations are given by the below set of equations based on the line diagram as given. Identify A and B parameters and find ‘A*C’ value.
Vs = A*Vr+B*Ir
Is = C*Vr+D*Ir
A. (1+YZ)* Y
B. (1+YZ)* Z
C. Y*( 1+YZ)
D. (1+YZ)*Y-1+Z
Answer: A
Clarification: Using KVL to the line diagram,
Vs = (1+YZ)*Vr+Z*Ir
Is = Y*Vr+Ir.
9. The transmission line equations are given by the below set of equations based on the line diagram as given. Identify A and B parameters and find ‘A*D’ value.
Vs = A*Vr+B*Ir
Is = C*Vr+D*Ir
A. (1+YZ)
B. (1+YZ)* Z
C. 1
D. 0
Answer: A
Clarification: Using KVL to the line diagram,
Vs = (1+YZ)*Vr+ Z*Ir
Is = Y*Vr + Ir
AD = (1+YZ).
10. The transmission line equations are given by the below set of equations based on the line diagram as given. Identify A and B parameters and find ‘B*D’ value.
Vs = A*Vr+B*Ir
Is = C*Vr+D*Ir
A. (1+YZ)
B. (1+YZ)* Z
C. Z
D. YZ
Answer: C
Clarification: Using KVL to the line diagram,
Vs = (1+YZ)*Vr + Z*Ir
Is = Y*Vr + Ir
BD = Z.
11. The transmission line equations are given by the below set of equations based on the line diagram as given. Identify A and B parameters and find ‘B*C’ value.
Vs = A*Vr + B*Ir
Is = C*Vr + D*Ir
A. (1+YZ)
B. (1+YZ)* Z
C. 1
D. YZ
Answer: A
Clarification: Using KVL to the line diagram,
Vs = (1+YZ)*Vr+Z*Ir
Is = Y*Vr+Ir
BC = YZ.
12. The transmission line equations are given by the below set of equations based on the line diagram as given. Identify A and B parameters and find ‘C*D’ value.
Vs = A*Vr+B*Ir
Is = C*Vr+D*Ir
A. (1+YZ)
B. (1+YZ)* Z
C. Z
D. Y
Answer: A
Clarification: Using KVL to the line diagram,
Vs = (1+YZ)*Vr+Z*Ir
Is = Y*Vr+Ir
CD = Y*1 = Y.
13. The transmission line equations are given by the below set of equations based on the line diagram as given. Identify A and B parameters and find ‘AB-CD’ value.
Vs = A*Vr+B*Ir
Is = C*Vr+D*Ir
A. Z-Y+YZ2
B. (1+YZ)* Z
C. 1+YZ+YZ2
D. 1-YZ+ZY2
Answer: A
Clarification: Using KVL to the line diagram,
Vs = (1+YZ)*Vr+Z*Ir
Is = Y*Vr+Ir
AB-CD = (1+YZ)*Z-Y.
14. The transmission line equations are given by the below set of equations based on the line diagram as given. Identify A and B parameters and find ‘AD-BC’ value.
Vs = A*Vr+B*Ir
Is = C*Vr+D*Ir
A. Z-Y+YZ2
B. (1+YZ)* Z
C. YZ+YZ2
D. 1
Answer: D
Clarification: Using KVL to the line diagram,
Vs = (1+YZ)*Vr+Z*Ir
Is = Y*Vr+Ir
AD-BC = (1+YZ)-YZ = 1.
15. The transmission line equations are given by the below set of equations based on the line diagram as given. Identify A and B parameters and find ‘A*C*D’ value.
Vs = A*Vr+B*Ir
Is = C*Vr+D*Ir
A. ZY+(YZ)2
B. (1+YZ)* Z
C. YZ+YZ2
D. 1-YZ+ZY2
Answer: A