# calculation for power factor

by Idea04
Tags: calculation, factor, power
 P: 185 I'm trying to calculate the power factor of a three phase synchronous generator torque angle = arctan^-1 (impedance) (sin torque angle/ current x voltage) 90 - torque angle - sin = XYZ power factor is cosine XYZ Is this the correct calculation to use?
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PF Gold
P: 26,113
Hi Idea04!
 Quote by Idea04 torque angle = arctan^-1 (impedance)
i think i know what you mean, but that's not how to write it

it's arctan or tan-1, not arctan-1

and they are for real numbers, not complex numbers, you need arg for that

impedance is a complex number, and Z = X + iY = |Z|e

φ = arctan(Y/X) = tan-1 Y/X = arg(impedance)
 (sin torque angle/ current x voltage) 90 - torque angle - sin = XYZ power factor is cosine XYZ
sorry, i don't understand this … eg what is the angle XYZ ?
add the three complex voltages (as complex numbers), then find the arg

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