I have the following circuit. Three phase generator, direct sequence


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

 

I don't see anything that indicates whether or not the 3-phase load is balanced. Is it?

 

It just says that the network three phase network is powered by three symmetric direct voltages.

 

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.

 

So the way I'm thinking it is correct?

 

Possibly. I'm just not willing to wade through your work unless you go back and track your units through the work properly.