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Calculation for power factor 
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#1
Jan2014, 11:42 AM

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? 


#2
Jan2214, 05:36 AM

Sci Advisor
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Thanks
P: 26,148

Hi Idea04!
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 = Ze^{iφ} φ = arctan(Y/X) = tan^{1} Y/X = arg(impedance) add the three complex voltages (as complex numbers), then find the arg 


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