- #1

Frank-95

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## Homework Statement

In the following three phase system, calculate the current in the middle capacitor:

## Homework Equations

**I = V/Z**

Z

Z

_{Y}= Z_{Δ}/ 3## The Attempt at a Solution

Hello! I'm trying to figure out a method for solving any generic three phase system. In particular, I found very effective method the single phase analysis, by reducing generators and loads to star loads (if they are originally delta loads). I don't know if this can always be done, and I have some doubts about parallel loads.

As regards this particular system, I converted the delta load to a star load, so:

**R**

_{2Y}= R_{2Δ}/ 3Capacitors are already disposed in a star load. So I consider the following single phase system:

*(R2 and R1 are switched here, I apologise)*

Is that the right equivalent single phase system?

If this is right, I would just need to calculate equivalent impedance, find the first phase current, and add -120° to find the middle one right?

If that is not right, where I mistakened? Thanks :)