- #1

diredragon

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## Homework Statement

Given the known quantities ##R, C, L##, ##k##, and the effective values of the voltages ##E_1=E_2=E_3=E## , ##w = \frac{1}{\sqrt{LC}}## of the direct-symmetrical 3-Phase system find the expressions for the effective values of ##U_{12}##, ##U## and ##I## and calculate the active power ##P## of the 3-Phase generator.

## Homework Equations

3. The Attempt at a Solution [/B]

Let me write down the solutions to this problem so we know what to aim for when solving it:

I feel kinda overwhelmed to not even know where to start from. I think can express the current ##I_2## of the generator ##E_2## in terms of the total impedance of the middle part and the voltage ##U##.

##U=jwI_1L+jwkLI'_2 => I'_2 = \frac{U}{jwkL}## since ##I_1=0##. The ##Z_e## in the diagram equals ##Z_e = jwL||\frac{1}{2jwC} = -jwL##.

The current ##I'_2 = I_2\frac{Z_e}{Z_e+L} => I_2 = \frac{U(k-jw)}{kLw^2}## and this is all i can get out of this first part. I could also make the left part like this: