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Preliminary Technical Data
ADE7757A
Rev. PrE | Page 17 of 24
TRANSFER FUNCTION
FREQUENCY OUTPUTS F1 AND F2
The ADE7757A calculates the product of two voltage signals
(on Channel V1 and Channel V2) 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 low
pulses. The pulse rate at these outputs is relatively low, for
example, 0.175 Hz maximum for ac signals with S0 = S1 = 0
(see Table 6). 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
75
.
494
REF
4
1
rms
V
F
V2
V1
Freq
×
=
(10)
where:
Freq
= Output frequency on F1 and F2 (Hz).
V1rms
= Differential rms voltage signal on Channel V1 (V).
V2rms
= Differential rms voltage signal on Channel V2 (V).
VREF
= The reference voltage (2.45 V ±200 mV) (V).
F1-4
= One of four possible frequencies selected by using the
logic inputs S0 and S1 (see Table 5).
Table 5. F1–4 Frequency Selection
S1
S0
OSC Relation1
F1–4 at Nominal OSC (Hz)2
0
OSC/219
0.86
0
1
OSC/218
1.72
1
0
OSC/217
3.43
1
OSC/216
6.86
1 F1–4 is a binary fraction of the internal oscillator frequency (OSC).
2 Values are generated using the nominal frequency of 450 kHz.
EXAMPLE
In this example, with ac voltages of ±30 mV peak applied to
V1 and ±165 mV peak applied to V2, the expected output
frequency is calculated as follows:
F1–4
= OSC/219 Hz, S0 = S1 = 0
V1rms
= 0.03/√2 V
V2rms
= 0.165/√2 V
VREF
= 2.45 V (nominal reference value)
Note that if the on-chip reference is used, actual output
frequencies may vary from device to device due to the reference
tolerance of ±200 mV.
175
.
0
204
.
0
45
.
2
165
.
0
03
.
0
75
.
494
2
=
×
=
×
=
1
F
Freq
(11)
Table 6. Maximum Output Frequency on F1 and F2
S1
S0
OSC Relation
Max Frequency1 or AC Inputs (Hz)
0
0.204 × F1
0.175
0
1
0.204 × F2
0.35
1
0
0.204 × F3
0.70
1
0.204 × F4
1.40
1 Values are generated using the nominal frequency of 450 kHz.
FREQUENCY OUTPUT CF
The pulse output CF (calibration frequency) is intended for
calibration purposes. The output pulse rate on CF can be up to
2048 times the pulse rate on F1 and F2. The lower the F1–4
frequency selected, the higher the CF scaling (except for the
high frequency mode SCF = 0, S1 = S0 = 1). Table 7 shows
how the two frequencies are related, depending on the states
of the logic inputs S0, S1, and SCF. Due to its relatively high
pulse rate, the frequency at CF logic output is proportional to
the instantaneous real power. As with F1 and F2, CF is derived
from the output of the low-pass filter after multiplication.
However, because the output frequency is high, this real
power information is accumulated over a much shorter time.
Therefore, less averaging is carried out in the digital-to-
frequency conversion. With much less averaging of the real
power signal, the CF output is much more responsive to power
fluctuations (see the signal processing block in Figure 15).
Table 7. Maximum Output Frequency on CF
SCF
S1
S0
CF Max for AC Signals (Hz)1
1
0
128 × F1, F2 = 22.4
0
64 × F1, F2 = 11.2
1
0
1
64 × F1, F2 = 22.4
0
1
32 × F1, F2 = 11.2
1
0
32 × F1, F2 = 22.4
0
1
0
16 × F1, F2 = 11.2
1
16 × F1, F2 = 22.4
0
1
2048 × F1, F2 = 2.867 kHz
1 Values are generated using the nominal frequency of 450 kHz.