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.

V_{s} = A*V_{r}+B*I_{r}

I_{s} = C*V_{r}+D*I_{r}

a) 1+YZ, Z

b) Z,Y

c) Y, 1+YZ

d) 1+YZ, Y^{-1}+Z

View Answer

Explanation: Using KVL to the line diagram,

V

_{s}= (1+YZ)*V

_{r}+Z*I

_{r}

I

_{s}= Y*V

_{r}+I

_{r}.

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.

V_{s} = A*V_{r}+B*I_{r}

I_{s} = C*V_{r}+D*I_{r}

a) 1+YZ, Z

b) Z,Y

c) 1+YZ, Y

d) 1+YZ, Y^{-1}+Z

View Answer

Explanation: Using KVL to the line diagram,

V

_{s}= (1+YZ)*V

_{r}+Z*I

_{r}

I

_{s}= Y*V

_{r}+I

_{r}.

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.

V_{s} = A*V_{r}+B*I_{r}

I_{s} = C*V_{r}+D*I_{r}

a) 1+YZ, 1

b) 1+YZ, Z

c) Y, 1+YZ

d) 1+YZ, Y^{-1}+Z

View Answer

Explanation: Using KVL to the line diagram,

V

_{s}= (1+YZ)*V

_{r}+Z*I

_{r}

I

_{s}= Y*V

_{r}+I

_{r}.

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.

V_{s} = A*V_{r}+B*I_{r}

I_{s} = C*V_{r}+D*I_{r}

a) 1+YZ, Z

b) Z,YZ+1

c) Z, 1+YZ

d) 1+YZ, Y^{-1}+Z

View Answer

Explanation: Using KVL to the line diagram,

V

_{s}= (1+YZ)*V

_{r}+Z*I

_{r}

I

_{s}= Y*V

_{r}+I

_{r}.

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.

V_{s} = A*V_{r}+B*I_{r}

I_{s} = C*V_{r}+D*I_{r}

a) 1+YZ, Z

b) Z,Y

c) Y, 1+YZ

d) 1+YZ, Y^{-1}+Z

View Answer

Explanation: Using KVL to the line diagram,

V

_{s}= (1+YZ)*V

_{r}+Z*I

_{r}

I

_{s}= Y*V

_{r}+I

_{r}.

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.

V_{s} = A*V_{r}+B*I_{r}

I_{s} = C*V_{r}+D*I_{r}

a) 1+YZ, Z

b) 1+ZY, 1

c) Y, 1+YZ

d) 1, 1+YZ

View Answer

Explanation: Using KVL to the line diagram,

V

_{s}= (1+YZ)*V

_{r}+Z*I

_{r}

I

_{s}= Y*V

_{r}+I

_{r}.

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.

V_{s} = A*V_{r}+B*I_{r}

I_{s} = C*V_{r}+D*I_{r}

a) (1+YZ)* Z

b) 1+YZ* Z

c) Y*( 1+YZ)

d) (1+YZ)*Y^{-1}+Z

View Answer

Explanation: Using KVL to the line diagram,

V

_{s}= (1+YZ)*V

_{r}+Z*I

_{r}

I

_{s}= Y*V

_{r}+I

_{r}.

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.

V_{s} = A*V_{r}+B*I_{r}

I_{s} = C*V_{r}+D*I_{r}

a) (1+YZ)* Y

b) (1+YZ)* Z

c) Y*( 1+YZ)

d) (1+YZ)*Y^{-1}+Z

View Answer

Explanation: Using KVL to the line diagram,

V

_{s}= (1+YZ)*V

_{r}+Z*I

_{r}

I

_{s}= Y*V

_{r}+I

_{r}.

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.

V_{s} = A*V_{r}+B*I_{r}

I_{s} = C*V_{r}+D*I_{r}

a) (1+YZ)

b) (1+YZ)* Z

c) 1

d) 0

View Answer

Explanation: Using KVL to the line diagram,

V

_{s}= (1+YZ)*V

_{r}+ Z*I

_{r}

I

_{s}= Y*V

_{r}+ I

_{r}

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.

V_{s} = A*V_{r}+B*I_{r}

I_{s} = C*V_{r}+D*I_{r}

a) (1+YZ)

b) (1+YZ)* Z

c) Z

d) YZ

View Answer

Explanation: Using KVL to the line diagram,

V

_{s}= (1+YZ)*V

_{r}+ Z*I

_{r}

I

_{s}= Y*V

_{r}+ I

_{r}

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.

V_{s} = A*V_{r} + B*I_{r}

I_{s} = C*V_{r} + D*I_{r}

a) (1+YZ)

b) (1+YZ)* Z

c) 1

d) YZ

View Answer

Explanation: Using KVL to the line diagram,

V

_{s}= (1+YZ)*V

_{r}+Z*I

_{r}

I

_{s}= Y*V

_{r}+I

_{r}

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.

V_{s} = A*V_{r}+B*I_{r}

I_{s} = C*V_{r}+D*I_{r}

a) (1+YZ)

b) (1+YZ)* Z

c) Z

d) Y

View Answer

Explanation: Using KVL to the line diagram,

V

_{s}= (1+YZ)*V

_{r}+Z*I

_{r}

I

_{s}= Y*V

_{r}+I

_{r}

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.

V_{s} = A*V_{r}+B*I_{r}

I_{s} = C*V_{r}+D*I_{r}

a) Z-Y+YZ^{2}

b) (1+YZ)* Z

c) 1+YZ+YZ^{2}

d) 1-YZ+ZY^{2}

View Answer

Explanation: Using KVL to the line diagram,

V

_{s}= (1+YZ)*V

_{r}+Z*I

_{r}

I

_{s}= Y*V

_{r}+I

_{r}

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.

V_{s} = A*V_{r}+B*I_{r}

I_{s} = C*V_{r}+D*I_{r}

a) Z-Y+YZ^{2}

b) (1+YZ)* Z

c) YZ+YZ^{2}

d) 1

View Answer

Explanation: Using KVL to the line diagram,

V

_{s}= (1+YZ)*V

_{r}+Z*I

_{r}

I

_{s}= Y*V

_{r}+I

_{r}

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.

V_{s} = A*V_{r}+B*I_{r}

I_{s} = C*V_{r}+D*I_{r}

a) ZY+(YZ)^{2}

b) (1+YZ)* Z

c) YZ+YZ^{2}

d) 1-YZ+ZY^{2}

View Answer

Explanation: Using KVL to the line diagram,

V

_{s}= (1+YZ)*V

_{r}+Z*I

_{r}

I

_{s}= Y*V

_{r}+I

_{r}

ACD = (1+YZ)*ZY.

**Sanfoundry Global Education & Learning Series – Power Systems.**

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