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EVAL-ADE7858EBZ Datasheet(PDF) 37 Page - Analog Devices

Part # EVAL-ADE7858EBZ
Description  Poly Phase Multifunction Energy Metering IC with per Phase Active and Reactive Powers
PDF  76 Pages
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Manufacturer  AD [Analog Devices]
Direct Link  http://www.analog.com
Logo AD - Analog Devices

EVAL-ADE7858EBZ Datasheet(HTML) 37 Page - Analog Devices

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Preliminary Technical Data
ADE7858
Rev. PrA | Page 37 of 76
line cycles, as shown in Figure 44. The number of half line
cycles is specified in the LINECYC[15:0] register.
AWATTOS
ACCUMULATOR
WTHR[47:0]
32 bit register
AWATTHR[31:0]
OUTPUT
FROM LPF
ZERO CROSSING
DETECTION
(PHASE B)
ZERO CROSSING
DETECTION
(PHASE C)
ZERO CROSSING
DETECTION
(PHASE A)
ZXSEL[1] in
LCYCMODE[7:0]
ZXSEL[0] in
LCYCMODE[7:0]
ZXSEL[2] in
LCYCMODE[7:0]
CALIBRATION
CONTROL
LINECYC[15:0]
AWGAIN
Figure 44. ADE7858 Line Cycle Active Energy Accumulation Mode
The line cycle energy accumulation mode is activated by setting
bit 0 (LWATT) in the LCYCMODE[7:0] register. The energy
accumulation over an integer number of half line cycles is
written to the watt-hr accumulation registers after
LINECYC[15:0] number of half line cycles are detected. When
using the line cycle accumulation mode, the bit 6 (RSTREAD) of
the LCYCMODE[7:0] register should be set to Logic 0 because
the read with reset of watt-hr registers is not available in this
mode.
Phase A, Phase B, and Phase C zero crossings are, respectively,
included when counting the number of half-line cycles by
setting bits 5, 4, 3 (ZXSEL) in the LCYCMODE[7:0] register.
Any combination of the zero crossings from all three phases can
be used for counting the zero crossing. Only one phase should
be selected at a time for inclusion in the zero crossings count
during calibration.
The number of zero crossings is specified by the
LINECYC[15:0] 16-bit unsigned register. The ADE7858 can
accumulate active power for up to 65535 combined zero
crossings. Note that the internal zero-crossing counter is always
active. By setting bit 0 (LWATT) in LCYCMODE[7:0] register,
the first energy accumulation result is, therefore, incorrect.
Writing to the LINECYC[15:0] register when the LWATT bit is
set resets the zero-crossing counter, thus ensuring that the first
energy accumulation result is accurate.
At the end of an energy calibration cycle, the bit 5 (LENERGY)
in the STATUS0[31:0]register is set. If the corresponding mask
bit in the MASK0[31:0] interrupt mask register is enabled, the
0
IRQ pin also goes active low. The status bit is cleared and
0
IRQ pin is set back high by writing STATUS0 register with the
corresponding bit set to 1.
Because the active power is integrated on an integer number of
half-line cycles in this mode, the sinusoidal components are
reduced to 0, eliminating any ripple in the energy calculation.
Therefore, total energy accumulated using the line-cycle
accumulation mode is


1
k
k
k
k
k
nT
t
t
cos
I
V
nT
dt
t
p
e
(26)
where nT is the accumulation time.
Note that line cycle active energy accumulation uses the same
signal path as the active energy accumulation. The LSB size of
these two methods is equivalent.
REACTIVE POWER CALCULATION
The ADE7858 computes the total reactive power on every
phase. Total reactive power integrates all fundamental and
harmonic components of the voltages and currents.
A load that contains a reactive element (inductor or capacitor)
produces a phase difference between the applied ac voltage and
the resulting current. The power associated with reactive elements
is called reactive power, and its unit is VAR. Reactive power is
defined as the product of the voltage and current waveforms when
all harmonic components of one of these signals are phase
shifted by 90°.
Expression (29) gives an expression for the instantaneous
reactive power signal in an ac system when the phase of the
current channel is shifted by +90°.

k
1
k
k
t
k
sin
2
V
)
t
(
v
(27)

k
1
k
k
t
k
sin
2
I
)
t
(
i
(28)
2
t
k
sin
2
I
)
t
(
'i
k
1
k
k
 
t
i
is the current waveform with all harmonic components
phase shifted by 90°.
Then the instantaneous reactive power q(t) can be expressed as
 
 
 
t
i
t
v
t
q
(29)


2
t
m
sin
t
k
sin
2
I
V
2
t
k
sin
t
k
sin
2
I
V
)
t
(
q
m
k
m
k
1
m
,
k
m
k
k
k
1
k
k
k
Note that q(t) can be rewritten as



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