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AD71056ARZ Folha de dados(PDF) 11 Page - Analog Devices

Nome de Peças AD71056ARZ
Descrição Electrónicos  Energy Metering IC with Integrated Oscillator and Reverse Polarity Indication
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Fabricante Electrônico  AD [Analog Devices]
Página de início  http://www.analog.com
Logo AD - Analog Devices

AD71056ARZ Folha de dados(HTML) 11 Page - Analog Devices

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AD71056
Rev. A | Page 11 of 20
(
+
ω
×
×
+
=
o
h
h
β
t
h
h
I
0
I
t
i
sin
2
)
(
)
(3)
where:
i(t) is the instantaneous current.
I0 is the dc component.
Ih is the rms value of Current Harmonic h.
βh is the phase angle of the current harmonic.
Using Equation 2 and Equation 3, the real power, P, can be
expressed in terms of its fundamental real power (P1) and
harmonic real power (PH) as
P = P1 + PH
where:
P1 = V1 × I1 cos ϕ1
(4)
ϕ1 = α1 − β1
and PH
=
≠1
h
h
H
V
P
×
Ih cos ϕh
(5)
ϕh = αh − βh
In Equation 5, a harmonic real power component is generated
for every harmonic, provided that harmonic is present in both
the voltage and current waveforms. The power factor calculation
has previously been shown to be accurate in the case of a pure
sinusoid. Therefore, the harmonic real power must also correctly
account for the power factor because it is made up of a series of
pure sinusoids.
Note that the input bandwidth of the analog inputs is 7 kHz at
the nominal internal oscillator frequency of 450 kHz.


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