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ADE7752B
HPF AND OFFSET EFFECTS
+ V OS OS + V OS × I cos ( ω t ) + I OS × V cos ( ω t ) (10)
× I
× cos ( 2 ω t )
V × I
Figure 20 shows the effect of offsets on the active power
calculation. An offset on the current channel and the voltage
channel contributes a dc component after multiplication, as
shown in Figure 20. Because this dc component is extracted by
the LPF and is used to generate the active power information
for each phase, the offsets can contribute a constant error to the
total active power calculation. The HPF in the current channels
avoids this problem easily. By removing the offset from at least
one channel, no error component can be generated at dc by the
multiplication. Error terms at cos(ωt) are removed by the LPF
and the digital-to-frequency conversion (see the Digital-to-
Frequency Conversion section).
{ V cos ( ω t ) + V OS } × { I cos ( ω t ) + I OS } =
V × I
2
+
2
The ADE7752B is phase compensated up to 1 kHz as shown. This
ensures correct active harmonic power calculation even at low
power factors.
0.07
0.06
0.05
0.04
0.03
0.02
0.01
0
–0.01
0 100 200 300 400 500 600 700 800 900 1000
FREQUENCY (Hz)
Figure 21. Phase Error Between Channels (0 Hz to 1 kHz)
0.010
V OS × I OS
V× I
DC COMPONENT (INCLUDING ERROR TERM)
IS EXTRACTED BY THE LPF FOR REAL
POWER CALCULATION
0.008
0.006
2
0.004
I OS × V
V OS × I
0.002
0
0
ω
2 ω
FREQUENCY (RAD/sec)
–0.002
Figure 20. Effect of Channel Offset on the Active Power Calculation
The HPF in the current channels has an associated phase response
that is compensated for on-chip. Figure 21 and Figure 22 show the
phase error between channels with the compensation network.
Rev. 0 | Page 17 of 24
–0.004
40 45 50 55 60 65
FREQUENCY (Hz)
Figure 22. Phase Error Between Channels (40 Hz to 70 Hz)
70
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