Aggregation - AEMC PEL 52 User Manual

8.3 AGGREGATION

Aggregated quantities are calculated for a defined period according to the
following formulas based on «1 s» values. Aggregation can be calculated by
arithmetic average, quadratic average or other methods.
Phase-neutral voltage (V
(RMS)
Phase-phase voltage (U
(RMS)
Current (I )
L
(RMS)
Frequency (F
Active power (P
Reactive power (Q
Apparent power (S
Source power factor
with the associated quadrant (PF
Load power factor
with the associated quadrant (PF
Cos (φ) of the source
S
with the associated quadrant
Cos (φ) of the load
L
with the associated quadrant
N is the number of "1 s" values for the aggregation period considered (1, 2, 3, 4,
5, 6, 10, 12, 15, 20, 30, or 60 minutes).
66
Quantities
)
L
)
ab
)
L
)
L
)
L
)
L
Power & Energy Logger Model PEL 52 - User Manual
V
L
U
ab
I [ agg
L
F [
P
L
Q [ agg
L
S [
L
PF [
) SL
SL
[
PF
)
LL
LL
ϕ
Cos( )
L S
ϕ
Cos( )
L
Table 17
Formula
N − 1
1
∑
2
[ agg ] = × V 1 [ s ]
L
x
N
x
= 0
N − 1
1
∑
2
[ agg ] = × U 1 [ s ]
abx
N
x = 0
N − 1
1
∑
2
] = × I 1 [ s ]
Lx
N
x = 0
N − 1
1
∑
agg ] = × F 1 [ s ]
x
N
x
= 0
N − 1
1
∑
[ ] 1 [ ]
agg = × P s
Lx
N
x 0
=
1
N −
1
∑
] = × Q 1 [ s
Lx
N
x = 0
N 1
−
1
∑
agg ] = × S 1 [ s ]
Lx
N
x = 0
N − 1
1
∑
agg ] = × PF 1 [
SLx
N
x = 0
1
N −
1
∑
] 1 [
agg = × PF
LLx
N
x 0
=
N − 1
1
∑
ϕ
[ agg ] = × Cos( )
L Sx
N
x = 0
N − 1
1
∑
ϕ
[ agg ] = × Cos( )
L L L
x
N
x = 0
]
s ]
]
s
1 [ s ]
1 [ s ]