Applying The Ade9000 To Different Metering Configurations - Analog Devices ADE9000 Technical Reference Manual

UG-1098
APPLYING THE ADE9000
The voltage and current waveforms of a polyphase system are
defined in the following equations:
( )
= ω
v ) ( t 2 sin t
a
(
= ω −
v ) ( t 2 sin t 120
b
(
= ω +

v ) ( t 2 sin t 120
c
( )
= ω − θ
i ) ( t 2 sin t
a
(
= ω − θ −
i ) ( t 2 sin t 120
b
(
= ω − θ +
i ) ( t 2 sin t 120
c
To understand how these signals relate to each other, create a
phasor diagram following a convention using lagging phase
angles. Figure 56 shows a common polyphase metering
configuration, the 4-wire wye, with v
previous equations. Phase B lags Phase A by 120°, and Phase C
lags Phase A by 240°. Currents are shown at a power factor of 1,
PF = 1, where θ = 0 in the i , i
a
previously), and the current is in phase with the voltage.
180°
C
A
N
B
Figure 56. 4-Wire Wye Service Vector Diagram
The following figures show common metering configurations:
3-wire delta, 4-wire delta, and 3-wire residential and network.
The ADE9000 can also measure multiple single-phase circuits.
180°
C
A
B
Figure 57. 3-Wire Delta Service Vector Diagram
TO DIFFERENT METERING CONFIGURATIONS
)

)
)

)

, v , and v defined in the
a b c
, and i expressions (shown
b c
270° LAGGING
VCN
IC
VAN
IA
0°
IB
VBN
90° LAGGING
270° LAGGING
VAC
VBA
IC
IB
IA
90° LAGGING
ADE9000 Technical Reference Manual
C
B
B
Figure 59. 3-Wire Residential 1PH Service Vector Diagram
N
B
The phasor diagrams help to understand how the voltages and
currents are related in time. Figure 61 shows the 4-wire wye voltage
phase sequence in time, corresponding to the Figure 56 phasor
diagram and the equations for v
0°
PHASE A
VAN
Figure 61. 4-Wire Wye, Voltage Phase Sequence in Time
Rev. 0 | Page 44 of 86
270° LAGGING
VCN
IC
180°
IB
VBN
A
N
90° LAGGING
Figure 58. 4-Wire Delta Service Vector Diagram
270° LAGGING
180°
A
N
90° LAGGING
270° LAGGING
180°
A
90° LAGGING
Figure 60. 3-Wire Network Meter Vector Diagram
, v , and v
a b
PHASE B
VBN
VAN
0°
IA
0°
0°
provided previously.
c
PHASEC
VCN