Hioki 3196 - Power Factor Pf

12.4 Formulae
202
Reactive power Q (var)
Single-phase 2-wire
1P2W
Single-phase 3-wire
1P3W
Three-phase 3-wire
3P3W2M
Three-phase 3-wire
3P3W3M
Three-phase 4-wire
3P4W
Q1 Q1
Q2
Q1
Q2
Q1
Q2
Q3
Q1
Q2
Q3
• The polarity symbol sic for reactive power Q indicates a LAG or LEAD in polarity; no symbol indicates a
LAG, while the “-” symbol indicates a LEAD.
• Calculate the harmonic reactive power of each measured channel (c) using the polarity symbol sic, and
attach the opposite symbol for fundamental wave reactive power (using k = 1 (1st order)). (See the har-
monic reactive power formula.)
c: measured channel M: number of samples s: number of sampling points
Qc sic Sc
2
Pc
2
–=
Qsum Q
1
Q
2
+=
Qsum Q
1
Q
2
+=
Qsum Q
1
Q
2
Q
3
++=
Qsum Q
1
Q
2
Q
3
++=
Power factor PF
Single-phase 2-wire
1P2W
Single-phase 3-wire
1P3W
Three-phase 3-wire
3P3W2M
Three-phase 3-wire
3P3W3M
Three-phase 4-wire
3P4W
PF1 PF1
PF2
PF1
PF2
PF1
PF2
PF3
PF1
PF2
PF3
• 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 symbol for the funda-
mental 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.)
c: measured channel, k: order for analysis
PFc sic
Pc
Sc
------
=
PFsum sisum
P
sum
Ssum
------
---
= PFsum sisum
P
sum
Ssum
------
---
= PFsum sisum
P
sum
Ssum
------
---
= PFsum sisum
P
sum
Ssum
------
---
=