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ADE7754
0
I B *
–
I A
HPF
+
AAPOS
+
28
PHASE A
V A
AAPGAIN
1
I B *
AWGAIN
LPF2
TOTAL INSTANTANEOUS
POWER SIGNAL
I B
HPF
28
BAPOS
+
ACTIVE POWER
SIGNAL – P
PHASE B
BAPGAIN
LPF2
2752545h
1
V B
0
I B *
–
BWGAIN
I C
HPF
+
CAPOS
+
28
PHASE C
V C
CAPGAIN
LPF2
1
CWGAIN
Figure 26. Total Active Power Consumption Calculation
For example, for WATMOD = 1, when all the gains and offsets
corrections are taken into consideration, the formula that is
used to process the active power is
ENERGY CALCULATION
As stated earlier, power is defined as the rate of energy flow.
This relationship can be expressed mathematically as
? V A × ? ? ? ? 1 +
? × I A ? ? 1 + ? × I B ? + AAPOS ? × ? 1 +
+ ? V C × ? ? 1 + ? × I C ? ? 1 + ? × I B ? + CAPOS ? × ? 1 +
?
?
P =
Total Active Power =
? ? ? AAPGAIN ? ? BAPGAIN ? ? ? ?
? ? ? CAPGAIN ? ? BAPGAIN ? ? ? ?
? ? ? 2 12 ? ? 2 12 ? ? ? ?
? 2 12 ? ? 2 12 ? ? ? ?
AWG ?
2 12 ?
CWG ?
2 12 ?
dE
dt
where P = power and E = energy.
Conversely energy is given as the integral of power.
(7)
Depending on the polyphase meter service, an appropriate for-
E = ∫ Pdt
(8)
mula should be chosen to calculate the active power. The
American ANSI C12.10 standard defines the different configu-
rations of the meter. Table II describes which mode should be
chosen for each configuration.
Table II. Meter Form Configuration
The ADE7754 achieves the integration of the active power
signal by continuously accumulating the active power signal in
an internal non readable 54-bit energy register. The active
energy register (AENERGY[23:0]) represents the upper 24 bits
of this internal register. This discrete time accumulation or
summation is equivalent to integration in continuous time.
ANSI
Meter Form
WATMOD
WATSEL
Equation 9 expresses the relationship
Σ
? ∞
E = ∫ p ( t ) dt = Lim ?
? ?
?
5S/13S
6S/14S
8S/15S
9S/16S
3-wire Delta
4-wire Wye
4-wire Delta
4-wire Wye
0
1
2
0
3 or 5 or 6
5
5
7
T → 0 n = 0
?
?
p ( nT ) × T ?
? ?
(9)
where n is the discrete time sample number and T is the
Different gain calibration parameters are offered in the ADE7754
to cover the calibration of the meter in different configurations.
Note that in Mode 0, the APGAIN and WGAIN registers have
the same effect on the end result. In this case, APGAIN regis-
ters should be set at their default value and the gain adjustment
should be made with the WGAIN registers.
sample period.
REV. 0
–19 –
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