Enerdis Enerium 100, User Manual

Page: 76 / 86

U
SER MANUAL
– ENERIUM 100/200/300
MS1-7352 ENERIUM100/200/300_ Ed04 User Manual Page 76 / 86
•
For L = N :
∑
+ + × =
128
1
2
3 2 1
) (
128
1
] [ i i i T I
L
22.5 Real power
Measurements are derived from “10 period" real power measurements for a system set at 50 Hz and
"12 period" real power measurements for a system set at 60 Hz. The formulae are:
•
∑
× =
5
1
] 10 [
5
1
] 1 [ T P s P
L
L
For F = 50Hz OR
∑
× =
5
1
] 12 [
5
1
] 1 [ T P s P
L
L
For F = 60Hz
•
With
∑
× =
10
1
] [
10
1
] 10 [ T P T P
L L
OR
∑
× =
12
1
] [
12
1
] 12 [ T P T P
L L
•
And
∑
× × =
128
1
128
1
] [
L L
L
i v T P
L = 1, 2, 3
•
] 1 [ s P
is the sum of the real powers averaged over a second:
o
] 1 [ 3 ] 1 [ 2 ] 1 [ ] 1 [
1
s P s P s P s P
+ + =
22.6 Power rotation direction
The products measure the power rotation direction "averaged over a second".
•
If P[1s] is positive, the power rotation direction is Receiver.
•
If P[1s] is negative, the power rotation direction is Generator.
22.7 Reactive power
The monitors measure reactive power "averaged over a second" on each phase Q1[1s], Q2 [1s] and Q3
[1s], and the three-phase reactive power "averaged over a second" Q [1s].
The measurements are derived from other measurements, according to the following formula:
•
] s 1 [ P ] s 1 [ S ] s 1 [ SignQ ] s 1 [ Q
2
L
2
L
L L
− =
L = 1, 2, 3
•
] 1 [ s SignQ
L
is the sign of the reactive power, derived from the simplified Hilbert transform.
For F = 50Hz :
=
] 1 [ s SignQ
L
Sign of
∑
=
− −
−
6400
1
) 2 ( 1 ) 1 (
) ( *
i
i i
i i v
For F = 60Hz :
=
] 1 [ s SignQ
L
Sign of
∑
=
− −
−
7800
1
) 2 ( 1 ) 1 (
) ( *
i
i i
i i i
•
Q[1s] is the sum of the "averaged over a second" reactive powers Q[1s] = Q
1
[1s] + Q
2
[1s] + Q
3
[1s].
22.8 Apparent power
The monitors measure reactive power "averaged over a second" on each of the three phases S1[1s],
S2 [1s] and S3 [1s], as well as the three-phase apparent power "averaged over a second" S [1s].
The measurements are derived from other measurements, according to the following formula:
•
. L = 1, 2 or 3
•
S[1s] is the sum of the "averaged over a second" apparent powers S[1s] = S
1
[1s] + S
2
[1s] + S
3
[1s].
] 1 [ ] 1 [ ] 1 [ s I s V s S
L L L
× =