Hioki PW3336-01 - Power Channel and Sum Value Calculation Formulas

5.5 Calculation Formulas Specifications
164
(3) Power calculation formulas
Item (RECTIFIER) Calculation formulas
Active power
(AC+DC, AC+DC Umn)
Active power simple average value
(DC)
Active power AC component (AC)
Fundamental wave active power
(FND)
P
1(i)
from harmonic calculation formula
Apparent power
(AC+DC, AC, AC+DC Umn)
Calculated values from the respective rectifiers are used for
U
(i)
and I
(i)
.
(For AC+DC Umn, the AC+DC value is used for current.)
Fundamental wave apparent power
(FND)
S
1(i)
from harmonic calculation formula
Reactive power
(AC+DC, AC, AC+DC Umn)
Calculated values from the respective rectifiers are used for P
(i)
and S
(i)
.
Fundamental wave reactive power
(FND)
Q
1(i)
from harmonic calculation formula
Power factor
(AC+DC, AC, AC+DC Umn)
Calculated values from the respective rectifiers are used for P
(i)
and S
(i)
.
Fundamental wave power factor
(FND)
λ
1(i)
value from harmonic calculation formula
Phase angle (AC)
Calculated values from the respective rectifiers are used for
λ
(i)
.
Fundamental wave voltage current
phase difference (FND)
ϕ
1(i)
from harmonic calculation formula
(i): Measurement channel; M: Number of samples between synchronized timing points; s: Number of sample points; si
(i)
:
Polarity symbol, acquired based on voltage waveform and current waveform lead and lag for each measurement channel
Symbol [None]: Current lags voltage (LAG).
Symbol [-]: Current leads voltage (LEAD).
Power channel and sum value calculation formulas
Wiring
Item
1P2W 1P3W 3P3W 3P3W2M 3V3A 3P3W3M 3P4W
All channels
Sum values
Active power
Basic calcula-
tion formula
P
(i)
∑
=
×=
1M
0s
s)i(s)i()i(
)iu(
M
1
P
−
)i(DC)i(DC)i(DC
IUP ×=
)i(DC)i()i(AC
PPP −=
)i()i()i(
IUS ×=
2
)i(
2
)i()i()i(
PSsiQ −=
)i(
)i(
)i()i(
S
P
siλ =
When P
AC(i)
≥ 0
)i(
1
)i()i(
λcossiφ
−
=
(0° to ±90°)
−
−
)i(
1
)i()i(
λcos180siφ =
When P
AC(i)
< 0
(±90° to ±180°)
)2()1(sum
PPP +=
)3()2()1(su m
PPPP ++=