Coverting from abc waveform to qd0, I know I have to take the abc form and multiply by Ks matrix, which I have done bellow. However I am not sure how my answer is suppose to go from my calculation to the last set of 3 equation on the picture from 3.6-5 -3.6-7.
Coverting from abc waveform to qd0, I know I have to take the abc form and multiply by Ks matrix, which I have done bellow. However I am not sure how my answer is suppose to go from my calculation to the last set of 3 equation on the picture from 3.6-5 -3.6-7.
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
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Coverting from abc waveform to qd0, I know I have to take the abc form and multiply by Ks matrix, which I have done bellow. However I am not sure how my answer is suppose to go from my calculation to the last set of 3 equation on the picture from 3.6-5 -3.6-7.
Transcribed Image Text:fas = V2f, cos0s
fos = V2f, cos( Og
3
fs = V2 f, cos( Og +
3
of time and
do,
dt
ded = De
into the transformation to the arbitrary r«
fas = V2 f, cos(0g – 0)
fas = -V2f, sin(0, – 0)
fos = 0
Transcribed Image Text:cos(e) cos(e - ) cos(0+
sin(0) sin( 0 -) sin e -
27
V2 feos(a)
VI jcos(a - )
V2 fcos( a +
cos (0)
cosl e –
3
27
27
27
sin[ 0 +
3
3
3
1
2
Multiply the rows of the first matrix by the columns of the second matrix
Show Steps
V? fcos(a
-| sin (e) v 2 fcos(a) | sin(e v2 fcos(a ) i sin(@ 1)v2 fco (u | )
V 2 fcos(a – 2) + V2 fcos(a +
cos(4) v 2 feos(a) + cos(e)v2 fcos(a ) + cos(9 +)v2 fcos(a +)
+ cos( 0 + )V2fcos(a +
3
3
+ sin(0 + )v2 fcos(a +
3
V2 fcos (a) +
3
3
Simplify each element
v?fos( 30, 2 )cos( 34 2) + vZ fcos( 20 2 Jcos( 3a + 2r
( 30 - 2m )cos( 2) + vI Bin( 30 2 )cos( 2* *)
fcos(a) + fcos( 3 = 2) +fcos( 3a 2n)
V2 fcos(0)cos (a) + v
30 — 2п
3α-2π
+ v2 fcos
30 + 27
3α +2π
V2 fsin(0)cos (a) + v2 fsin
3α-2π
+ v2 fsin
30 + 27
3α +2π
За —
3a + 2n
V2
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