Sunday, 11 February 2018

Three phase power supply - what is line to line voltage


Well this seems like a basic principle, yet I can't seem to get it. (We're expect to "know" this already).


In a three phase situation I'm given a source voltage of 230V. - So the waveform of each of the phases would be: \$ v_s = \sqrt2 \cdot 230 \cdot \sin(\omega t + \theta_i)\$



Where \$\theta_i\$ is \$0, \tfrac{2}{3} \pi, \tfrac{4}{3} \pi\$ for each phase.


So now I could calculate the line to line voltage by the formula: $$v_{ll} = 2 \cdot \left ( \sqrt2 \cdot 230 \cdot \sin(\tfrac{2}{3} \pi) \right)$$


Is this correct?




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