13.8 Calculation Formula
234
c: measured channel, k: order for analysis
-5. Power factor (PF), Displacement power factor (DPF)
Single Phase
2-wire
1P2W
Single Phase 3-wire
1P3W
3-Phase, 3-Wire,
2-Measurement
3P3W2M
3-Phase, 3-Wire,
3-Measurement
3P3W3M
3-Phase, 4-Wire
3P4W
PF PF
1
PF
4
PFc=
PF
1
PF
2
PF
4
PF
1
PF
2
PF
4
PF
1
PF
2
PF
3
PF
4
PF
1
PF
2
PF
3
PF
4
PFsum= PFsum= PFsum= PFsum=
• The polarity symbol si for power factors indicates a LEAD or
LAG in polarity; no symbol indicates a LAG, while the "-"
symbol indicates a LEAD.
• Calculate the harmonic reactive power using the polarity symbol sic and attach the op
posit symbol for the fundamental
wave reactive power (using k = 1 (1st order) for each measured channel (c)).
• Calculate the harmonic reactive power using the polarity symbol sisum
and attach the opposite symbol of the sum of
the fundamental wave reactive power (using k = 1 (1st order)). (See the harmonic reactive power formula.)
DPF DPF
1
DPFc=
DPF
1
DPF
2
DPF
1
DPF
2
DPF
1
DPF
2
DPF
3
DPF
1
DPF
2
DPF
3
DPFsum=
DPFsum= DPFsum= DPFsum=
• The polarity symbol si of power factors indicates a LEAD or LAG
in polarity; no symbol indicates a LAG, while the "-"
symbol indicates a LEAD.
• Calculate the harmonic reactive power using the polarity symbol sic and attach the op
posit symbol for the fundamental
wave reactive power (using k = 1 (1st order) for each measured channel (c)).
• Calculate the harmonic reactive power using the polarity symbol
sisum and attach the opposite symbol for the sum of
the fundamental wave reactive power (using k = 1 (1st order)). (See the harmonic reactive power formula.)
• θ
c1
indicates the voltage-current phase difference for the fundamental wave. (See the voltage-current phase difference
formula.)
•P
sum1
indicates the total of fundamental wave power and the formula becomes k = 1 for the sum of harmonic power.
(See the harmonic power formula.)
•S
sum1
indicates the total of fundamental wave apparent power and can be calculated using the fundamental wave
RMS voltage and fundamental wave RMS current. (For information on the formulae for harmonic voltage, harmonic
current, and the sum of apparent power, see each of their calculation formulae.)
sisum
P
sum1
S
sum1
-------------
sisum
P
sum1
S
sum1
-------------
sisum
P
sum1
S
sum1
-------------
sisum
P
sum1
S
sum1
-------------