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Default 1 to 3 phase converter power factor question

On completion of a 3 phase converter and after adjusting the voltages
with caps what effect does adding the power factor corrections cap have
on the commercial power meter reading.Does it add more or less power to
the power bill?
My guess is that it would add more power to the bill as the power
factor approached zero(voltage in phase with the current)
Hence according to my ramblings it would be better not to correct power
factor and let the power company worry about it.

 
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