Three phase system question

Thread Starter

Manuel Faria

Joined May 5, 2016
3
I have the following circuit. Three phase generator, direct sequence

Screen Shot 2016-05-05 at 20.16.42.png
The goal is to calculate i3.

I know that e3(t)=200sqrt2cos(wt)
C=1mF w=1000rad/s
P=10kW Q=10kVAr
P*=10kW Q*=-5KVAr



What I'm doing:
e1(t)=200sqrt2cos(wt-120)
e2(t)=200sqrt2cos(wt-240)

i3+i3'(capacitor)=i3''(load)+i3'''(load*)

i3'=V2(phase)/Zc
i3''=S/(sqrt(3)*VL)
i3'''=S*/(sqrt(3)*VL)
My doubt is in i3'' and i3'''
i3'=200sqrt2e^j(-240º)/j=283e^j(30)
i3''=10000sqrt(2)e^j(45)/sqrt(3)sqrt(3)200sqrt(2)e^j(30)=1,6e^j(15)
i3'''=11180e^j(27)/sqrt(3)200sqrt(2)e^j(30)=22,8e^j(-3)

Is this procedure correct? Thanks
 

WBahn

Joined Mar 31, 2012
26,077
Then you don't have much of a realistic choice but to assume that it is balance, but you should be sure to make a note that you are making that assumption.
 

WBahn

Joined Mar 31, 2012
26,077
Possibly. I'm just not willing to wade through your work unless you go back and track your units through the work properly.
 
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