(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

This is a past exam questions which I am doing as revision, now I am confused about how to calculate the answers.

3. The attempt at a solution

I have tried using millmans theorem which is

Vsn = (Van/Za + Vbn/Zb + Vcn/Zc) / (1/Za + 1/Zb + 1/Zc)

Assuming the following:

Van = 240v @ 0 degrees

Vbn = 240v @ 120 degrees

Vcn = 240v @ -120 degrees

As complex impedances:

Van = 240

Vbn = 195 + 139i

Vcn = 195 - 139i

Za = 10

Zb = 15

Zc = -20i

Vsn = 273 +32i

Vsn = 275v @ 6.6degrees

Now I feel like I am really guessing here and have no idea if what I have done is correct (I don't think it is) so any help would be greatly appreciated

For the currents it is just Ia = Van/Za = 240/10 etc which is easy and then you can easily construct the phasor diagram as well from these. Either way I don't think my values for Van, Vbn, Vcn or my method for calculating Vsn is correct.

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# 3 Phase unbalanced load AC electronics question.

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