參數(shù)資料
型號: ADE7753ARSZRL
廠商: ANALOG DEVICES INC
元件分類: 模擬信號調(diào)理
英文描述: SPECIALTY ANALOG CIRCUIT, PDSO20
封裝: ROHS COMPLIANT, MO-150AE, SSOP-20
文件頁數(shù): 28/60頁
文件大?。?/td> 938K
代理商: ADE7753ARSZRL
ADE7753
Rev. C | Page 34 of 60
90°. The resulting waveform is called the instantaneous reactive
power signal. Equation 25 gives an expression for the instanta-
neous reactive power signal in an ac system when the phase of
the current channel is shifted by +90°.
The average reactive power over an integral number of lines (n)
is given in Equation 26.
v(t) =
)
sin(
2
θ
+
ωt
V
(23)
=
nT
VI
dt
t
Rp
nT
RP
0
)
sin(
)
(
1
θ
(26)
i(t) =
)
sin(
2
t
I
ω
π
+
ω
=
2
sin
2
)
(
t
I
t
i
(24)
where:
T is the line cycle period.
RP is referred to as the reactive power.
Note that the reactive power is equal to the dc component of the
instantaneous reactive power signal Rp(t) in Equation 25. This
is the relationship used to calculate reactive power in the
ADE7753. The instantaneous reactive power signal Rp(t) is
generated by multiplying Channel 1 and Channel 2. In this case,
the phase of Channel 1 is shifted by +90°. The dc component of
the instantaneous reactive power signal is then extracted by a
low-pass filter in order to obtain the reactive power informa-
tion. Figure 71 shows the signal processing in the reactive
power calculation in the ADE7753.
where:
θ is the phase difference between the voltage and current
channel.
V is the rms voltage.
I is the rms current.
Rp(t) = v(t) × i’(t)
(25)
Rp(t) = VI sin (θ) + VI sin(2ωt + θ)
ZERO-CROSSING
DETECTION
MULTIPLIER
+
LVARENERGY [23:0]
ACCUMULATE REACTIVE
ENERGY IN INTERNAL
REGISTER AND UPDATE
THE LVARENERGY REGISTER
AT THE END OF LINECYC HALF
LINE CYCLES
INSTANTANEOUS REACTIVE
POWER SIGNAL (Rp(t))
23
0
49
0
02875-0-070
LPF1
FROM
CHANNEL 2
ADC
LINECYC [15:0]
LPF2
CALIBRATION
CONTROL
π
2
V
I
90 DEGREE
PHASE SHIFT
Figure 71. Reactive Power Signal Processing
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