{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

lecture9

# lecture9 - EE 740 Professor Ali Keyhani Lecture#9 Z Bus...

This preview shows pages 1–4. Sign up to view the full content.

EE 740 Professor Ali Keyhani Lecture #9 Z Bus Matrices

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
Algorithm for the construction of Z Bus impedance matrix. [Y Bus ][ V Bus ] = [I Bus ] [V Bus ] = [Y Bus ] -1 [I Bus ] [Z Bus ] = [Y Bus ] -1 Ex: Z 11 Z 12 Z 13 I 1 V 1 Z 21 Z 22 Z 23 I 2 = V 2 Z 31 Z 32 Z 33 I 3 V 3 Suppose C-B A is closed and C-B B is open then: I 1 0 I 2 = 0 I 3 = 0 Z 11 Z 12 Z 13 I 1 V 1 Z 21 Z 22 Z 23 0 = V 2 Z 31 Z 32 Z 33 0 V 3 Z 11 I 1 = V 1 Z 11 = V 1 / I 1 = Zth between bus 1 and ground Z 21 I 1 = V 2 Z 21 = V 2 / I 1 Z 31 I 1 = V 3 Z 31 = V 3 / I 1 Suppose I 1 = 1A then: Z 11 = V 1 Z 21 = V 2 and Z 31 = V 3 z 12 z 13 z 23 z 1 C-B C-B A C-B B V 1 1 2 3
We conclude that by injecting 1 amp at bus (1) and calculating the voltage rise, then: Z 11 = V 1 Z 21 = V 2 Z 31 = V 3 Suppose that C-B A is open and we inject 1 amp into bus (3), then: I 3 = 1 I 2 = 0 and I 1 = 0 Z 11 Z 12 Z 13 0 V 1 Z 21 Z 22 Z 23 0 = V 2 Z 31 Z 32 Z 33 I 3 V 3 Z 13 I 3 = V 1 Z 13 = V 1 / I 3 Z 23 I 3 = V 2 Z 23 = V 2 / I 3 Z 33 I 3 = V 3 Z 33

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

### Page1 / 5

lecture9 - EE 740 Professor Ali Keyhani Lecture#9 Z Bus...

This preview shows document pages 1 - 4. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online