ADE7752ARZ Analog Devices Inc, ADE7752ARZ Datasheet - Page 13

• Manufacturer Part Number: ADE7752ARZ
• Description: IC ENERGY METERING DETEC 24-SOIC
• Manufacturer: Analog Devices Inc

Specifications of ADE7752ARZ

• Input Impedance: 450 KOhm
• Measurement Error: 0.1%
• Voltage - I/o High: 2.4V
• Voltage - I/o Low: 0.8V
• Current - Supply: 6mA
• Voltage - Supply: 4.75 V ~ 5.25 V
• Operating Temperature: -40°C ~ 85°C
• Mounting Type: Surface Mount
• Package / Case: 24-SOIC (0.300", 7.50mm Width)
• Meter Type: 3 Phase
• Lead Free Status / RoHS Status: Lead free / RoHS Compliant

This is the correct real power calculation.
NONSINUSOIDAL VOLTAGE AND CURRENT
The real power calculation method also holds true for nonsin-
usoidal current and voltage waveforms. All voltage and current
waveforms in practical applications have some harmonic
content. Using the Fourier Transform, instantaneous voltage
and current waveforms can be expressed in terms of their
harmonic content:
where:
v(t) is the instantaneous voltage.
V
V
α
V× I
2
O
n
n
is the rms value of voltage harmonic n.
is the phase angle of the voltage harmonic.
is the average value.
× cos(60°)
v
( )
t
Figure 16. DC Component of Instantaneous Power Signal
=
V× I
2
0V
0V
V
o
+
Conveys Real Power Information PF < 1
CURRENT
VOLTAGE
VOLTAGE
2
INSTANTANEOUS
POWER SIGNAL
×
INSTANTANEOUS
POWER SIGNAL
n
∑
∞
=
0
V
n
×
sin
60°
(
n
t ω
+
INSTANTANEOUS REAL
POWER SIGNAL
α
CURRENT
n
INSTANTANEOUS
REAL POWER SIGNAL
)
Rev. C | Page 13 of 24
(1)
where:
i(t) is the instantaneous current.
I
I
β is the phase angle of the current harmonic.
Using Equations 1 and 2, the real power, P, can be expressed in
terms of its fundamental real power (P
power (P
where:
As can be seen from Equation 4, a harmonic real power compo-
nent is generated for every harmonic, provided that harmonic is
present in both the voltage and current waveforms. The power
factor calculation has been shown to be accurate in the case of a
pure sinusoid. Therefore, the harmonic real power must also
correctly account for power factor since it is made up of a series
of pure sinusoids.
Note that the input bandwidth of the analog inputs is 14 kHz
with a master clock frequency of 10 MHz.
O
n
n
is the rms value of current harmonic n.
is the dc component.
P = P
t i
φ
P
φ
P
( )
1
1
H
n
=
=
=
=
H
=
V
α
).
1
n
α
∑
I
∞
1
1
+ P
=
n
×
O
1
−
V
−
I
+
1
β
n
H
β
cos
1
×
n
2
I
n
φ
×
cos
1
n
∑
∞
=
0
φ
V
n
n
I
×
sin
ADE7752/ADE7752A
(
n
t ω
β
1
) and harmonic real
n
)
(3)
(4)
(2)