contraction

# contraction - DERIVATION OF ITERATION SCHEME FOR 3 BUS...

This preview shows pages 1–2. Sign up to view the full content.

DERIVATION OF ITERATION SCHEME FOR 3 BUS SYSTEM Overall Decoupled Iterative Form δ 2 δ 3 V 2 k +1 = φ ( x k )= δ 2 δ 3 V 2 k - ± ( B ± ) - 1 0 0( B ± ) - 1 ² ( f 2 ( δ k 2 k 3 ,V k 2 ) - P 2 ) /V k 2 ( f 3 ( δ k 2 k 3 k 2 ) - P 3 ) /V k 3 ( g 2 ( δ k 2 k 3 k 2 ) - Q 2 ) /V k 2 with f 2 ( δ k 2 k 3 k 2 V k 2 V X (sin( δ k 2 ) + sin( δ k 2 - δ k 3 )) f 3 ( δ k 2 k 3 k 2 V k s V X (sin( δ k 3 - δ k 2 )) g 2 ( δ k 2 k 3 k 2 - V k 2 V X (cos( δ k 2 ) + cos( δ k 2 - δ k 3 )) - BX - 2 X ( V k 2 ) 2 B ± = 1 X ± 2 - 1 - 11 ² B ± = 2 X - B = 2 - X after substitution δ 2 δ 3 V 2 k +1 = φ ( x k δ 2 δ 3 V 2 k - ± 1 1 1 2 ² ³ 00 ´ 0 0 1 2 - V (sin( δ k 2 ) + sin( δ k 2 - δ k 3 )) V k 2 sin( δ k 3 - δ k 2 ) - PX V - V (cos( δ k 2 ) + cos( δ k 2 - δ k 3 )) - ( - 2) V k 2 = δ 2 δ 3 V 2 k - V (sin( δ k 2 ) + sin( δ k 2 - δ k 3 )) + V k 2 sin( δ k 3 - δ k 2 ) - V V (sin( δ k 2 ) + sin( δ k 2 - δ k 3 )) + 2 V k 2 sin( δ k 3 - δ k 2 ) - 2 V ) - V 2 - (cos( δ k 2 ) + cos( δ k 2 - δ k 3 )) + V k 2 Simpli±ed Form

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.

## This note was uploaded on 07/14/2011 for the course ECE 522 taught by Professor Tomsovic during the Summer '10 term at University of Florida.

### Page1 / 3

contraction - DERIVATION OF ITERATION SCHEME FOR 3 BUS...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online