參數(shù)資料
型號(hào)： ADE7757AARZ
廠(chǎng)商： ANALOG DEVICES INC
元件分類(lèi)： 模擬信號(hào)調(diào)理
英文描述： SPECIALTY ANALOG CIRCUIT, PDSO16
封裝： LEAD FREE, MS-012AC, SOIC-16
文件頁(yè)數(shù)： 3/24頁(yè)
文件大?。?/td> 391K
代理商： ADE7757AARZ
Preliminary Technical Data
ADE7757A
Rev. PrE | Page 11 of 24
NONSINUSOIDAL VOLTAGE AND CURRENT
The real power calculation method also holds true for non-
sinusoidal 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.
()
h
0
h
0
t
h
V
t
v
α
ω +
×
+
=
∑
∞
≠
sin
2
)
(
(2)
where:
v(t)
is the instantaneous voltage.
V0
is the average value.
Vh
is the rms value of voltage harmonic h.
h
α is the phase angle of the voltage harmonic.
()
∑
∞
≠
+
×
+
=
o
h
O
h
β
t
h
I
t
i
ω
sin
2
)
(
(3)
where:
i(t)
is the instantaneous current.
I0
is the dc component.
Ih
is the rms value of current harmonic h.
h
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 (P1) and harmonic real
power (PH) as P = P1 + PH
where
1
I
V
P
φ
cos
×
=
(4)
1
β
1
=
α
φ
and
h
1
h
H
I
V
P
φ
cos
×
=
∑
∞
≠
(5)
h
β
h
=
α
φ
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 calcula-
tion 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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