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ADE7752B
TYPICAL CONNECTION DIAGRAMS
V B ( t ) = 2 × V B × cos ? ? ω l t +
2 π ?
3 ?
?
IAP
CT
V C ( t ) = 2 × V C × cos ? ? ω l t +
4 π ?
3 ?
?
CURRENT CHANNEL CONNECTION
Figure 15 shows a typical connection diagram for the current
channel (IA). A current transformer (CT) is the current trans-
ducer selected for this example. Notice that the common-mode
voltage for the current channel is AGND and is derived by
center-tapping the burden resistor to AGND. This provides the
complementary analog input signals for IAP and IAN. The CT
turns ratio and burden resistor Rb are selected to give a peak
differential voltage of ±500 mV at maximum load.
In theory, it is better to center tap Rb; however, this requires
very careful attention to the layout and matching of the resistors
to ensure that the channels have the same resistance. A single
resistor may be more practical and is a valid design choice.
Rf
METER CONNECTIONS
In 3-phase service, two main power distribution services exist:
3-phase, 4-wire or 3-phase, 3-wire. The additional wire in the
3-phase, 4-wire arrangement is the neutral wire. The voltage
lines have a phase difference of ±120° (±2π/3 radians) between
each other (see Equation 7).
V A ( t ) = 2 × V A × cos ( ω l t )
? (7)
?
where V A , V B , and V C represent the voltage rms values of the
different phases.
IAN
+ φ B ? ?
I B ( t ) = 2 I B × cos ? ? ω l t +
Cf
Rb ±500mV
IP Rf
Cf
PHASE NEUTRAL
Figure 15. Typical Connection for Current Channels
The current inputs are represented by
I A ( t ) = 2 I A × cos ( ω l t + φ A )
2 π
? 3 ?
(8)
I C ( t ) = 2 I C × cos ? ? ω l t +
+ φ C ? ?
VOLTAGE CHANNEL CONNECTION
Figure 16 shows two typical connections for the voltage channel.
?
4 π
3
?
PT
The first option uses a potential transformer (PT) to provide
complete isolation from the main voltage. In the second option,
the ADE7752B is biased around the neutral wire, and a resistor
divider is used to provide a voltage signal proportional to the
line voltage. Adjusting the ratio of Ra, Rb, and VR is a convenient
way of carrying out a gain calibration on the meter. VR can be
implemented using either a potentiometer or a binary weighted
series of resistors. Either configuration works, however, the
potentiometer is subject to noise over time. Two fixed value
resistors can be used in place of VR to minimize the noise.
Rf VAP
where:
I A , I B , and I C represent the rms value of the current of each phase.
φ A , φ B , and φ C represent the phase difference of the current and
voltage channel of each phase.
The instantaneous powers can then be calculated as follows:
P A (t) = V A (t) × I A (t)
P B (t) = V B (t) × I B (t)
P C (t) = V C (t) × I C (t)
Then:
P A ( t ) = V A × I A × cos ( φ A ) ? V A × I A × cos ( 2 ω l t + φ A )
±500mV
Cf
VN
P B ( t ) =
V B × I B × cos ( φ B ) ? V B × I B × cos ? ? 2 ω l t +
+ φ B ? ?
PHASE NEUTRAL
AGND
Rf
Cf
?
4 π
3
?
(9)
P C ( t ) = V C × I C × cos ( φ C ) ? V C × I C × cos ? ? 2 ω l t +
+ φ C ? ?
Ra *
Cf
?
8 π
3
?
PHASE NEUTRAL
Rb*
VR*
±500mV
Rf
Cf
VAP
VN
As shown in Equation 9, the active power calculation per phase
is made when current and voltage inputs of one phase are
connected to the same channel (A, B, or C). Then the
*Ra >> Rf + VR; *Rb + VR = Rf
Figure 16. Typical Connections for Voltage Channels
summation of each individual active power calculation gives the
total active power information, P ( t ) = P A ( t ) + P B ( t ) + P C ( t ).
Rev. 0 | Page 14 of 24
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