ADE7753
The features of the line reactive energy accumulation are the
same as the line active energy accumulation. The number of
half line cycles is specified in the LINECYC register. LINECYC
I rms
CURRENT RMS SIGNAL – i(t)
0x1C82B3
MULTIPLIER
APPARENT POWER
SIGNAL (P)
0xAD055
is an unsigned 16-bit register. The ADE7753 can accumulate
reactive power for up to 65535 combined half cycles. At the end
0x00
of an energy calibration cycle, the CYCEND flag in the interrupt
V rms
VAGAIN
02875-0-072
status register is set. If the CYCEND mask bit in the interrupt
mask register is enabled, the IRQ output also goes active low.
Thus the IRQ line can also be used to signal the end of a cali-
bration. The ADE7753 accumulates the reactive power signal in
the LVARENERGY register for an integer number of half cycles,
as shown in Figure 71 .
SIGN OF REACTIVE POWER CALCULATION
Note that the average reactive power is a signed calculation. The
phase shift filter has –90° phase shift when the integrator is
VOLTAGE RMS SIGNAL – v(t)
0x17D338
0x00
Figure 73. Apparent Power Signal Processing
The gain of the apparent energy can be adjusted by using the
multiplier and VAGAIN register (VAGAIN[11:0]). The gain is
adjusted by writing a twos complement, 12-bit word to the
VAGAIN register. Equation 29 shows how the gain adjustment
is related to the contents of the VAGAIN register.
OutputVAGA IN = ? ? Apparent Power × ? 1 +
? ? ? (29)
enabled, and +90° phase shift when the integrator is disabled.
Table 9 summarizes the relationship between the phase differ-
ence between the voltage and the current and the sign of the
? ?
? ?
VAGAIN ? ?
2 12 ? ?
resulting VAR calculation.
Table 9. Sign of Reactive Power Calculation
For example, when 0x7FF is written to the VAGAIN register,
the power output is scaled up by 50%. 0x7FF = 2047d, 2047/2 12
= 0.5. Similarly, 0x800 = –2047d (signed twos complement) and
Angle
Between 0 ° to 90 °
Between –90 ° to 0 °
Between 0 ° to 90 °
Between –90 ° to 0 °
Integrator
Off
Off
On
On
Sign
Positive
Negative
Positive
Negative
power output is scaled by –50%. Each LSB represents 0.0244%
of the power output. The apparent power is calculated with the
current and voltage rms values obtained in the rms blocks of the
ADE7753. Figure 74 shows the maximum code (hexadecimal)
output range of the apparent power signal. Note that the output
range changes depending on the contents of the apparent power
APPARENT POWER CALCULATION
The apparent power is defined as the maximum power that can
be delivered to a load. V rms and I rms are the effective voltage and
current delivered to the load; the apparent power (AP) is defined
as V rms × I rms . The angle θ between the active power and the
apparent power generally represents the phase shift due to non-
resistive loads. For single-phase applications, θ represents the
angle between the voltage and the current signals—see Figure 72.
APPARENT
POWER
gain registers. The minimum output range is given when the
apparent power gain register content is equal to 0x800 and the
maximum range is given by writing 0x7FF to the apparent
power gain register. This can be used to calibrate the apparent
power (or energy) calculation in the ADE7753.
APPARENT POWER 100% FS
APPARENT POWER 150% FS
APPARENT POWER 50% FS
0x103880
0xAD055
0x5682B
REACTIVE
POWER
0x00000
0x000
0x7FF
0x800
{VAGAIN[11:0]}
θ
APPARENT POWER
CALIBRATION RANGE
VOLTAGE AND CURRENT
ACTIVE
CHANNEL INPUTS: 0.5V/GAIN
02875-0-073
POWER
02875-0-071
Figure 72. Power Triangle
The apparent power is defined as V rms × I rms . This expression is
independent from the phase angle between the current and the
voltage.
Figure 73 illustrates the signal processing in each phase for the
calculation of the apparent power in the ADE7753.
Figure 74. Apparent Power Calculation Output Range
Apparent Power Offset Calibration
Each rms measurement includes an offset compensation
register to calibrate and eliminate the dc component in the rms
value—see Channel 1 RMS Calculation and Channel 2 RMS
Calculation sections. The Channel 1 and Channel 2 rms values
are then multiplied together in the apparent power signal
processing. Since no additional offsets are created in the
multiplication of the rms values, there is no specific offset
Rev. C | Page 35 of 60
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