ADE7755
Rev. A | Page 17 of 20
If the on-chip reference is used, actual output frequencies may
vary from device to device due to a reference tolerance of ±8%.
TRANSFER FUNCTION
Frequency Outputs F1 and F2
Example 2
The ADE7755 calculates the product of two voltage signals (on
Channel 1 and Channel 2) and then low-pass filters this product
to extract active power information. This active 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, 0.34 Hz
maximum for ac signals with S0 = S1 = 0 (see Table 7). This
means that the frequency at these outputs is generated from
active power information accumulated over a relatively long
time. The result is an output frequency that is proportional to
the average active power. The averaging of the active 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:
In this example, with ac voltages of ±470 mV peak applied to
V1 and ±660 mV peak applied to V2, the expected output
frequency is calculated as follows:
34.0
5.222
7.1166.047.006.8
2=
××
××
=Freq
where:
Gain = 1, G0 = G1 = 0.
fi = f1 = 1.7 Hz, S0 = S1 = 0.
V1 = rms of 470 mV peak ac = 0.47/√2 V.
V2 = rms of 660 mV peak ac = 0.66/√2 V.
VREF = 2.5 V (nominal reference value).
If the on-chip reference is used, actual output frequencies may
vary from device to device due to a reference tolerance of ±8%.
2
06.8
REF
i
V
fGainV2V1
Freq ××××
= As can be seen from these two example calculations, the maximum
output frequency for ac inputs is always half that for dc input
signals. Table 7 shows a complete listing of all the maximum
output frequencies.
where:
Freq = output frequency on F1 and F2 (Hz).
V1 = differential rms voltage signal on Channel 1 (volts).
V2 = differential rms voltage signal on Channel 2 (volts).
Gain = 1, 2, 8, or 16, depending on the PGA gain selection
made using logic inputs G0 and G1.
VREF = the reference voltage (2.5 V ± 8%) (volts).
fi = one of the four possible frequencies (f1, f2, f3, or f4) selected
by using the logic inputs S0 and S1, see Table 6.
Table 7. Maximum Output Frequency on F1 and F2
S1 S0
Maximum Frequency
for DC Inputs (Hz)
Maximum Frequency
for AC Inputs (Hz)
0 0 0.68 0.34
0 1 1.36 0.68
1 0 2.72 1.36
1 1 5.44 2.72
Table 6. f1, f2, f3, and f4 Frequency Selection
S1 S0 f1, f2, f3, and f4 (Hz)
XTAL/CLKIN1 Frequency Output CF
0 0 f1 = 1.7 3.579 MHz/221
The pulse output CF is intended for use during calibration. The
output pulse rate on CF can be up to 2048 times the pulse rate
on F1 and F2. The lower the fi frequency selected (i = 1, 2, 3, or 4),
the higher the CF scaling (except for the high frequency mode
SCF = 0, S1 = S0 = 1). Table 8 shows how the two frequencies
are related, depending on the state of the logic inputs, S0, S1,
and SCF. Because of its relatively high pulse rate, the frequency
at CF is proportional to the instantaneous active power. As is
the case with F1 and F2, the frequency is derived from the
output of the low-pass filter after multiplication. However, because
the output frequency is high, this active 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 active power signal, the CF output is much
more responsive to power fluctuations (see the signal processing
block diagram in Figure 22).
0 1 f2 = 3.4 3.579 MHz/220
1 0 f3 = 6.8 3.579 MHz/219
1 1 f4 = 13.6 3.579 MHz/218
1 f1, f2, f3, or f4 is a binary fraction of the master clock and, therefore, varies if
the specified CLKIN frequency is altered.
Example 1
If full-scale differential dc voltages of +470 mV and −660 mV
are applied to V1 and V2, respectively (470 mV is the maximum
differential voltage that can be connected to Channel 1, and
660 mV is the maximum differential voltage that can be
connected to Channel 2), the expected output frequency
is calculated as follows:
2
06.8
REF
i
V
fGainV2V1
Freq ××××
=
where:
Gain = 1, G0 = G1 = 0.
fi = f1 = 1.7 Hz, S0 = S1 = 0.
V1 = +470 mV dc = 0.47 V (rms of dc = dc).
V2 = −660 mV dc = 0.66 V (rms of dc = |dc|).
VREF = 2.5 V (nominal reference value).