Chauvin Arnoux pel 102, Руководство пользователя

Страница: 75 / 86

75
9.2. MEASUREMENT FORMULAS
PEL measures 128 samples per cycle (16 samples per f=400 Hz) and calculates the voltage, current and active power quantities
over one cycle.
The PEL then calculates a value aggregated over 10 cycles (50Hz), 12 cycles (60Hz), or 80 cycles (400Hz) (“200ms” quantities ),
(PEL104) then 50 cycles (50Hz), 60 cycles (60Hz), or 400 cycles (400Hz) (“1s” quantities).
Quantities Formula Comments
AC RMS phase-to-neutral volt-
age (V
L
)
vL = v1, v2 or v3 elementary sample
N = Number of samples
DC voltage (V
L
)
L = v1, v2 or v3 elementary sample
N = Number of samples
AC RMS phase-to-phase volt-
age (U
L
)
ab = u
12
, u
23
or u
31
elementary sample
N = Number of samples
AC RMS Current (I
L
)
iL = i1, i2 or i3 elementary sample
N = Number of samples
DC Current (I
L
)
iL = i1, i2 or i3 elementary sample
N = Number of samples
Voltage crest factor (V-CF)
CF
VL
is the ratio of average crest values to the RMS
value of 10/12 periods
Current crest factor (I-CF)
CF
IL
is the ratio of average crest values to the RMS
value of 10/12 periods
Unbalance (u
2
)
real-time only
with
2 2
31
2
23
2
12
4
31
4
23
4
12
) (
fund fund fund
fund fund fund
U U U
U U U
+ +
+ +
=
β
Active Power (P
L
)
L = I1, I2 or I3 elementary sample
N = Number of samples P
T
[1s]= P
1
[1s] + P
2
[1s] +
P
3
[1s]
Reactive Power (Q
L
)
PEL102 and PEL103
Reactive power includes harmonics.
"sign[1s]" is the reactive power sign
The total reactive power calculated Q
T
[1s] is a vector.
Reactive Power (Q
L
)
PEL104
( )
1 1 1 1
, sin
H L H L H L H L L
V I I V Q
− − − −
× × =
ϕ
3 2 1
Q Q Q Q
T
+ + =
Reactive power does not include harmonics.
L = 1, 2 or 3
Apparent Power (S
L
)
The total apparent power S
T
[1s] is an arithmetic value
Power Factor (PF
L
)
Cos
ϕ
L
Cos
ϕ
L
[10/12] is the cosine of the difference between
the phase of the fundamental of the current I and the
phase of the fundamental of the phase-to-neutral
voltage V for 10/12 cycles values
Tan Φ
Q[10/12] and P[10/12] are the 10/12-period values for
Q and P.
Fundamental angles (PEL104)
ϕ
(I
L
, V
L
)
ϕ
(I
L
, I
M
)
ϕ
(I
M
, V
M
)
FFT calculation
ϕ
is the phase difference between the fundamental
current I
L
and the fundamental voltage V
L
AC fundamental active power
(Pf
L
)
(PEL104)
( )
1 1 1 1
, cos
H L H L H L H L L
V I I V Pf
− − − −
× × =
ϕ
3 2 1
Pf Pf Pf Pf
T
+ + =
L = 1, 2 or 3