lecture6

lecture6 - Example l Using the Newton-Raphson PF, find the...

Info iconThis preview shows pages 1–8. Sign up to view the full content.

View Full Document Right Arrow Icon
Power Systems I Example l Using the Newton-Raphson PF, find the power flow solution 0.02 + j 0.04 3 1 2 |V 3 | = 1.04 200 MW 400 MW 250 MVAR Slack Bus V 1 = 1.05 0 0.01 + j 0.03 0.0125 + j 0.025 pu P pu j j S pu j y pu j y pu j y sch sch 0 . 2 100 200 5 . 2 0 . 4 100 250 400 32 16 30 10 20 10 3 2 23 13 12 = = - - = + - = - = - = - =
Background image of page 1

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

View Full DocumentRight Arrow Icon
Power Systems I Example ( 29 3 2 23 23 3 2 22 22 2 2 1 2 21 21 1 2 2 33 33 2 3 2 3 32 32 2 3 1 3 31 31 1 3 3 3 2 23 23 3 2 22 22 2 2 1 2 21 21 1 2 2 sin sin sin cos cos cos cos cos cos 17 . 1 2 . 67 03 . 2 8 . 35 89 . 1 6 . 31 03 . 2 8 . 35 11 . 1 1 . 58 03 . 2 4 . 22 89 . 1 6 . 31 03 . 2 4 . 22 90 . 1 9 . 53 62 26 32 16 30 10 32 16 52 26 20 10 30 10 20 10 50 20 d d q q d d q q d d q d d q d d q q d d q + - - - + - - = + + - + + - = + - + + + - = - - - = - + - + - + - - + - + - + - - = Y V V Y V Y V V Q Y V Y V V Y V V P Y V V Y V Y V V P j j j j j j j j j Y bus angles are in radians
Background image of page 2
Power Systems I Example ( 29 - - - = - = - = = + - - - - - - - + + - + - + - + - + - = = = ) , , ( ) , , ( ) , , ( 5 . 2 0 . 2 0 . 4 ) , , ( ) , , ( ) , , ( 03 . 2 sin 8 . 35 04 . 1 11 . 1 sin 1 . 58 03 . 2 sin 3 . 22 05 . 1 17 . 1 cos 2 . 67 04 . 1 03 . 2 cos 8 . 35 04 . 1 89 . 1 cos 6 . 31 05 . 1 03 . 2 cos 8 . 35 04 . 1 11 . 1 cos 1 . 58 03 . 2 cos 3 . 22 05 . 1 ) , , ( ) , , ( ) , , ( 2 3 2 2 2 3 2 3 2 3 2 2 2 3 2 2 2 3 2 3 2 3 2 2 2 3 2 2 3 2 3 2 2 2 2 2 2 2 2 3 2 3 3 3 2 2 2 2 1 2 2 2 3 2 2 2 3 2 3 2 3 2 2 2 3 2 V Q V P V P V Q V P V P Q P P x f c Q P P c V V V V V V V V V Q V P V P x f V x sch sch sch d d d d d d d d d d d d d d d d d d d d d d d d d d d d d
Background image of page 3

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

View Full DocumentRight Arrow Icon
Power Systems I Example ( 29 3 2 2 2 3 2 23 23 2 1 2 21 21 2 22 22 2 3 2 , 1 2 2 2 22 22 2 2 2 3 2 2 3 2 23 23 3 2 3 2 3 2 2 2 2 3 2 23 23 3 2 2 21 21 1 2 3 2 , 1 2 2 2 2 2 2 03 . 2 cos 8 . 35 04 . 1 03 . 2 cos 4 . 22 05 . 1 03 . 2 cos 1 . 58 2 cos cos cos 2 cos cos 2 03 . 2 sin 8 . 35 04 . 1 sin 03 . 2 sin 8 . 35 04 . 1 03 . 2 sin 4 . 22 05 . 1 sin sin sin d d d d d q d d q q d d q q d d d d q d d d d d d q d q d d q d + - + - + = + - + + - + = + - + = + - - = + - - = + - + - = + - + - = + - = = = V Y V Y V Y V Y V Y V V P V Y V V P V V Y V V Y V V Y V V P j j j j j j j j j j j j
Background image of page 4
Power Systems I Example ( 29 3 2 2 3 32 32 3 2 3 2 3 2 3 2 3 32 32 2 3 1 3 31 31 1 3 3 3 , 1 3 3 3 3 3 3 3 2 2 2 3 32 32 2 3 2 3 03 . 2 cos 8 . 35 04 . 1 cos 03 . 2 sin 8 . 35 04 . 1 89 . 1 sin 6 . 31 05 . 1 04 . 1 sin sin sin 03 . 2 sin 8 . 35 04 . 1 sin d d d d q d d d d d q d d q d d q d d d d d q d + - = + - = + - + - = + - + + - = + - = + - - = + - - = = Y V V P V Y V V Y V V Y V V P V Y V V P j j j j j j
Background image of page 5

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

View Full DocumentRight Arrow Icon
Power Systems I Example ( 29 3 2 2 2 3 2 23 23 3 1 2 21 21 1 22 22 2 3 2 , 1 2 2 2 22 22 2 2 2 3 2 2 3 2 23 23 3 2 3 2 3 2 2 2 2 3 2 23 23 3 2 1 2 21 21 1 2 3 2 , 1 2 2 2 2 2 2 03 . 2 sin 8 . 35 04 . 1 03 . 2 sin 4 . 22 05 . 1 11 . 1 sin 1 . 58 2 sin sin sin 2 sin sin 2 03 . 2 cos 8 . 35 04 . 1 cos 03 . 2 cos 8 . 35 04 . 1 03 . 2 cos 4 . 22 05 . 1 cos cos cos d d d d d q d d q q d d q q d d d d q d d d d d d q d d q d d q d + - - - - - - = + - - + - - - = + - - - = + - - = + - - = + - + - = + - + + - = + - = = = V Y V Y V Y V Y V Y V V Q V Y V V Q V V Y V V Y V V Y V V Q j j j j j j j j j j j j
Background image of page 6
Power Systems I Example ] [ 2 3 2 1 2 2 3 2 2 2 2 3 3 3 2 3 2 2 3 2 2 2 ] [ 2 3 2 ] 1 [ 2 3 2 ] [ 1 ] [ ] 1 [ k k k k k k Q P P V Q Q Q V P P P V P P P
Background image of page 7

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

View Full DocumentRight Arrow Icon
Image of page 8
This is the end of the preview. Sign up to access the rest of the document.

This note was uploaded on 11/27/2011 for the course EEL 4213 taught by Professor Thomasbaldwin during the Spring '11 term at FSU.

Page1 / 25

lecture6 - Example l Using the Newton-Raphson PF, find the...

This preview shows document pages 1 - 8. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online