# Power Systems Questions and Answers – Symmetrical Component Transformation – 2

This set of Power Systems online quiz focuses 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

Explanation: 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

Explanation: 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

Explanation: 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

Explanation: 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

Explanation: Using KVL to the line diagram,
Vs = (1+YZ)*Vr+Z*Ir
Is = Y*Vr+Ir.
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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

Explanation: 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

Explanation: 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

Explanation: 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

Explanation: Using KVL to the line diagram,
Vs = (1+YZ)*Vr+ Z*Ir
Is = Y*Vr + Ir

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

Explanation: 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

Explanation: 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

Explanation: 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

Explanation: 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

Explanation: Using KVL to the line diagram,
Vs = (1+YZ)*Vr+Z*Ir
Is = Y*Vr+Ir

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

Explanation: Using KVL to the line diagram,
Vs = (1+YZ)*Vr+Z*Ir
Is = Y*Vr+Ir
ACD = (1+YZ)*ZY.

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