Suggestion: Reference:
1. IEEE Std 100-2000 The Authoritative Dictionary of IEEE Standards Terms, Seventh Edition, 2000.
The Power Factor (PF) is defined per phase: i.e.
Fp=sum(watts per phase)/sum(RMS voltampere per phase)=ActivePower/ApparentPower
If the voltages and currents are sinusoidal and, for polyphase circuits, form symmetrical sets, Fp=cos(alfa-beta).
The definition posted in the original posting for three phase systems is not included in Reference 1.