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ADE7518
APPARENT POWER CALCULATION
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, respectively. Therefore, the apparent
power (AP) = V rms × I rms . This equation is independent from the
The gain of the apparent energy can be adjusted by using the
multiplier and by writing a twos complement, 12-bit word to the
VAGAIN register (VAGAIN[11:0]). Equation 30 shows how the
gain adjustment is related to the contents of the VAGAIN register.
Output VAGAIN =
? Apparent Power × ? 1 +
? ?
phase angle between the current and the voltage.
Equation 29 gives an expression of the instantaneous power
? ?
? ?
VAGAIN ? ?
2 12 ? ?
(30)
signal in an ac system with a phase shift.
For example, when 0x7FF is written to the VAGAIN register, the
v ( t ) = 2 V rms sin( ω t )
i ( t ) = 2 I rms sin( ω t + θ )
p ( t ) = v ( t ) × i ( t )
p ( t ) = V rms I rms cos( θ ) ? V rms I rms cos( 2 ω t + θ )
(26)
(27)
(28)
(29)
power output is scaled up by 50% (0x7FF = 2047d, 2047/2 12 = 0.5).
Similarly, 0x800 = –2047d (signed twos complement) and 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 ADE7518.
Apparent Power Offset Calibration
Figure 62 illustrates the signal processing for the calculation of
the apparent power in the ADE7518.
The apparent power signal can be read from the waveform register
by setting the WAVMODE register (0x0D) and setting the WFSM
bit in the Interrupt Enable 3 SFR (MIRQENH, 0xDB). Like the
current and voltage channel waveform sampling modes, the
waveform data is available at a sample rate of 25.6 kSPS, 12.8 kSPS,
6.4 kSPS, or 3.2 kSPS.
I rms
Each rms measurement includes an offset compensation register to
calibrate and eliminate the dc component in the rms value (see the
Current Channel RMS Calculation section and the Voltage
Channel RMS Calculation section). The voltage and current
channels rms values are then multiplied together in the appar-
ent power signal processing. Because no additional offsets are
created in the multiplication of the rms values, there is no
specific offset compensation in the apparent power signal
processing. The offset compensation of the apparent power
measurement is done by calibrating each individual rms
measurement.
VARMSCFCON
APPARENT POWER
SIGNAL (P)
0x1A36E2
CURRENT RMS SIGNAL – i(t)
0x1CF68C
0x00
VAGAIN
V rms
VOLTAGE RMS SIGNAL – v(t)
0x1CF68C
TO
DIGITAL-TO-FREQUENCY
CONVERTER
0x00
Figure 62. Apparent Power Signal Processing
Rev. 0 | Page 58 of 128
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