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參數資料
型號: ADE7754ARRL
廠商: ANALOG DEVICES INC
元件分類: 模擬信號調理
英文描述: ADE7754
中文描述: SPECIALTY ANALOG CIRCUIT, PDSO24
封裝: MS-013AD, SOIC-24
文件頁數: 25/44頁
文件大?。?/td> 630K
代理商: ADE7754ARRL
REV. PrG 01/03
PRELIMINARY TECHNICAL DATA
ADE7754
25
Thus the
IRQ
line can also be used to signal the end of a
calibration. From Equations 8 and 12.
E t
( )
VI dt
VI
f
8
f t dt
nT
0
nT
0
cos
=
+
(
2
1
2
π
(14)
where n is a integer and T is the line cycle period.
Since the sinusoidal component is integrated over an integer
number of line cycles, its value is always zero.
Therefore:
E(t)
VI dt
0
nT
=
+
0
(15)
E(t)
VInT
=
(16)
The total active power calculated by the ADE7754 in the Line
accumulation mode depends on the configuration of the
WATMOD bits in the WATMode register. Each term of the
formula can be disabled or enabled by the LWATSEL bits of
the WATMode register. The different configurations are
described in Table III.
WATMOD
LWATSEL0
LWATSEL1
0
V
A
x I
A*
+ V
B
x I
B*
1
V
A
x (I
A*
-I
B*
) + 0
2
V
A
x (I
A*
-I
B*
) + 0
LWATSEL2
+ V
C
x I
C*
+ V
C
x (I
C*
-I
B*
)
+ V
C
x I
C*
Table III - Total Line Active Energy calculation
Note: I
A*
, I
B*
and I
C*
represent the current channels samples
after APGAIN correction and High-Pass Filtering.
Important:
The Line Active Energy accumulation uses the
same signal path as the Active Energy accumulation. How-
ever, the LSB size of these two registers is different. If the
Line Active energy register and Active energy register are
accumulated during the same amount of time, the Line Active
energy register will be 4 times bigger than the Active Energy
register.
The LAENERGY register is also used to accumulate the
reactive energy by setting to logic one bit5 of the WAVMode
register (Add. 0Ch) - see reactive power calculation. When
this bit is set to one, the accumulation of the Active Energy
over half line cycles in the LAENERGY register is disabled
and is done instead in the LVAENERGY register. As the
LVAENERGY register is an unsigned value, the accumula-
tion of the active energy in the LVAENERGY register is
unsigned in this mode. The reactive energy is then accumu-
lated in the LAENERGY register - see Figure 31. In this
mode (reactive energy), the selection of the phases accumu-
lated in the LAENERGY and LVAENERGY registers is
done by the LWATSEL selection bits of the WATTMode
register.
In normal mode, bit5 of WAVMODE register equals 0 the
type of active power summation in the LAENERGY register
(sum of absolute active power or arithmetic sum) is selected
by bit2 of the GAIN register.
In the mode where the Active powers are accumulated in the
LVAENERGY register, bit5 of WAVMODE register equals
1, it should be noticed that the sum of several active power is
always done ignoring the sign of the active powers. This is
due to the unsigned nature of the LVAENERGY register that
does not allow signed addition.
REACTIVE POWER CALCULATION
Reactive power is defined as the product of the voltage and
current waveforms when one of this signal is phase shifted by
90
o
at each frequency. It is defined mathematically in the
IEEE Standard Dictionary 100 as:
Reactive
Power
V
I
n
n
n
=
(
)
=
1
sin
where V
n
and I
n
are respectively the voltage and current rms
values of the n
th
harmonics of the line frequency, and
n
is the
phase difference between the voltage and current n
th
harmon-
ics. The resulting waveform is called the instantaneous
reactive power signal (VAR).
Equation 19 gives an expression for the instantaneous reac-
tive power signal in an ac system without harmonics when the
phase of the current channel is shifted by -90
o
.
=
2
1
1
ω
( )
V
t
sin(
)
(17)
i( )
I
t
i( )
I
t
sin(
)
sin(
)
=
=
2
2
2
1
1
ω
ω
Π
(18)
VAR t
VAR( )
v t
( )
=
i t
( )
sin(
( )
=
×
V I
V I
t
)
sin(
)
+
+
1
1
2
ω
(19)
The average power over an integral number of line cycles (n)
is given by the expression in Equation 19.
VAR
nT
VAR t dt
V I
1 1
nT
0
=
=
1
1
( )
sin(
)
(20)
where T is the line cycle period.
VAR is referred to as the Reactive Power. Note that the
reactive power is equal to the DC component of the instan-
taneous reactive power signal
VAR(t)
in Equation 19. This is
the relationship used to calculate reactive power in the
ADE7754 for each phase. The instantaneous reactive power
signal
VAR(t)
is generated by multiplying the current and
voltage signals in each phase. In this case, the phase of the
current channel is shifted by -89
o
. The DC component of the
instantaneous reactive power signal in each phase (A, B and
C) is then extracted by a low pass filter to obtain the reactive
power information on each phase. In a polyphase system, the
total reactive power is simply the sum of the reactive power
in all active phases. The different solutions available to
process the total reactive power from the individual calcula-
tion are discussed in the following paragraph.
Figure 30 shows the signal processing in each phase for the
Reactive Power calculation in the ADE7754.
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