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REV. PrB 08/01
PRELIMINARY TECHNICAL DATA
ADE7752
–8–
TRANSFER FUNCTION
Frequency Outputs F1 and F2
The ADE7752 calculates the product of six voltage signals
(on Current channel and Voltage channel) and then low-pass
filters this product to extract real power information. This
real power information is then converted to a frequency. The
frequency information is output on F1 and F2 in the form of
active high pulses. The pulse rate at these outputs is relatively
low, e.g., 0.08 Hz maximum for AC signals with SCF = S0
= S1 = 1—see Table III. This means that the frequency at
these outputs is generated from real power information
accumulated over a relatively long period of time. The result
is an output frequency that is proportional to the average real
power. The averaging of the real power signal is implicit to
the digital-to-frequency conversion. The output frequency or
pulse rate is related to the input voltage signals by the
following equation.
(
2
109
A
AN
I
V
Freq
=
)
2
5
1
REF
C
CN
B
BN
V
F
I
V
I
V
×
×
+
×
+
×
×
where:
Freq
V
AN
, V
BN
and V
CN
= Differential rms voltage signal on Volt-
age channels (volts)
I
A
, I
B
and I
C
= Differential rms voltage signal on Current
channels (volts)
V
REF
=
The reference voltage (2.5 V ± 8%) (volts)
F
1–5
=
One of five possible frequencies selected by
using the logic inputs SCF, S0 and S1—see
Table II.
= Output frequency on F1 and F2
(Hz)
Table II. F
1–5
Frequency Selection
SCF
S1
S0
F
1–5
(Hz)
0.596
76.3
19.07
4.77
1.19
XTAL/CLKIN*
10 MHz/2
24
10 MHz/2
17
10 MHz/2
19
10 MHz/2
21
10 MHz/2
23
1
0
-
-
-
1
1
1
0
0
1
1
0
1
0
NOTE
*F
1–5
is a binary fraction of the master clock and therefore will vary if the specified
CLKIN frequency is altered.
Example 1
Thus if full-scale differential DC voltages of +125 mV and –
125 mV are applied to VA, VB, VC, IA, IB and IC respec-
tively (125 mV is the maximum differential voltage that
can be connected to Current and Voltage channels), the
expected output frequency is calculated as follows:
F
1–5
V
AN
= V
BN
= V
CN
= IA = IB = IC
= +125 mV dc = 0.125 V (rms of dc = dc)
V
REF
=
2.5 V (nominal reference value).
NOTE: If the on-chip reference is used, actual
output frequencies may vary from device to device
due to reference tolerance of ±8%.
=
0.596 Hz,
SCF = S
0 =
S
1 = 1
Hz
Freq
488
.
5
596
.
125
.
2
125
.
×
2
109
3
=
×
×
×
=
Example 2
In this example, with AC voltages of ±500 mV peak ap-
plied to the Voltage channels and Current channels, the
expected output frequency is calculated as follows:
F
1–5
= 0.596 Hz,
SCF = S
0
=
S
1 = 1
V
AN
= V
BN
= V
CN
= IA = IB = IC
= 125 mV peak AC = 0.125/
2
volts rms
= 2.5 V (nominal reference value).
NOTE: If the on-chip reference is used, actual
output frequencies may vary from device to device
due to reference tolerance of ±8%.
V
REF
Hz
Freq
24
.
5
2
2
596
.
125
.
×
125
×
.
2
109
3
2
=
×
×
×
×
=
As can be seen from these two example calculations, the
maximum output frequency for AC inputs is always half of
that for DC input signals. The maximum frequency depends
also on the number of phases connected to the ADE7752. In
a 3-phase 3-wire delta service the maximum output frequency
is different from the maximum output frequency in a 3-phase
4-wire Wye service. The reason is that there are only 2 phases
connected to the analog inputs but also that in a delta service,
the Current channel input and Voltage channel input of the
same phase are not in phase in normal operation.
Example 3
In this example, the ADE7752 is connected to a 3-phase 3-
wire delta service as shown in Figure 14. The total real energy
calculation processed in the ADE7752 can be expressed as:
(
C
A
V
V
Energy
al
Total
=
Re
)
(
V
)
B
C
B
A
I
V
I
×
+
×
Where V
A
, V
B
and V
C
represent respectively the voltage on
phase A, B and C. I
A
and I
B
represent respectively the current
on phase A and B.
As the voltage and current inputs respect Equations 5 and 6,
the Total Real Energy (P) is: