Unbalanced three-phase w. neutral. Finding currents

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Discussion Overview

The discussion revolves around finding the currents in an unbalanced three-phase system with a neutral connection. Participants explore various methods for calculating these currents, including the application of Kirchhoff's laws and the use of complex notation.

Discussion Character

  • Homework-related
  • Technical explanation
  • Mathematical reasoning

Main Points Raised

  • One participant mentions using Kirchhoff's law but expresses confusion about the calculation process.
  • Another participant inquires about the complex notation for phase voltages and suggests that applying Kirchhoff's voltage or current laws could be beneficial.
  • A different participant indicates they have found a method using vectors but also expresses interest in using mesh analysis.
  • One participant suggests that rearranging the schematic could clarify the application of mesh or node equations and emphasizes the importance of recognizing the potentials at the load resistors.
  • There is a reference to writing the three-phase line voltages in complex form as part of the calculation process.

Areas of Agreement / Disagreement

Participants do not appear to reach a consensus on the best approach to solve the problem, as multiple methods and interpretations are discussed without resolution.

Contextual Notes

There are indications of missing assumptions regarding the circuit configuration and the specific values of components, which may affect the calculations. The discussion also reflects a lack of clarity on how to apply Kirchhoff's laws in this context.

EVriderDK
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Homework Statement



I have to find the currents in the three phases and the neutral.

I understand that it has got something to do with Kirchoffs law, but how on earth?

I can simulate it in multisim, and i get the right results for I_rms but i cannot figure out how to calculate.

N->L = 220V
L->L = 380V

Homework Equations



Here is the layout.

sRcXI.jpg


I found the I_L3 just by using I=U/R. I found it to be 2.5A
 
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What are V1-1, V1-2 and V1-3 in complex notation? The rest is just cranking thru the KVL or KCL equations, whatever lights your bulb ... :-)
 
I found out how to do it with vectors.

But i also want to learn how to do it with masks.
I have drawn a new one here:

http://www.studieportalen.dk/Forums/ShowFile.aspx?id=1225631

Is that better?

What do you mean by using KCL and KVL? I know it is Kichhoff current and voltage laws, but do I just have to do all the masks with respect to N?
 
A slightly rearranged schematic may make things more obvious:

attachment.php?attachmentid=50152&stc=1&d=1345819744.gif


You should be able to apply either mesh or node equations. Note that it might be worthwhile to recognize that you have the potentials at each end of the load resistors by inspection...

Va, Vb, Vc are the three-phase line voltages. Write them in complex form and then it's just plug 'n chug.
 

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