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ADE5166 数据表(PDF) 64 Page - Analog Devices

部件名 ADE5166
功能描述  Single-Phase Energy Measurement IC with 8052 MCU, RTC, and LCD Driver
PDF  148 Pages
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制造商  AD [Analog Devices]
网页  http://www.analog.com
标志 AD - Analog Devices

ADE5166 数据表(HTML) 64 Page - Analog Devices

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ADE5166/ADE5169/ADE5566/ADE5569
Preliminary Technical Data
Rev. PrB | Page 64 of 148
APPARENT POWER CALCULATION
Apparent power is defined as the maximum power that can be
delivered to a load. Vrms and Irms are the effective voltage and
current delivered to the load, respectively. Therefore, the apparent
power (AP) = Vrms × Irms. This equation is independent from the
phase angle between the current and the voltage.
Equation 29 gives an expression of the instantaneous power
signal in an ac system with a phase shift.
()
2
sin(
)
rms
vt
V
t
ω
=
(26)
()
)
sin(
2
θ
+
ω
=
t
I
t
i
rms
(27)
)
(
)
(
)
(
t
i
t
v
t
p
×
=
(29)
()
)
2
cos(
)
cos(
θ
+
ω
−
θ
=
t
I
V
I
V
t
p
rms
rms
rms
rms
(30)
Figure 54 illustrates the signal processing for the calculation of the
apparent power in the ADE5166/ADE5169/ADE5566/ADE5569.
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 wave-
form data is available at sample rates of 25.6 kSPS, 12.8 kSPS,
6.4 kSPS, or 3.2 kSPS.
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 =
⎟
⎠
⎞
⎜
⎝
⎛
⎭
⎬
⎫
⎩
⎨
⎧ +
×
12
2
1
VAGAIN
Power
Apparent
(30)
For example, when 0x7FF is written to the VAGAIN register, the
power output is scaled up by 50% (0x7FF = 2047d, 2047/212 = 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
ADE5166/ADE5169/ADE5566/ADE5569.
Apparent Power Offset Calibration
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 apparent
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.
APPARENT ENERGY CALCULATION
The apparent energy is given as the integral of the apparent power.
∫
=
dt
t
Power
Apparent
Energy
Apparent
)
(
(31)
The ADE5166/ADE5169/ADE5566/ADE5569 achieve the
integration of the apparent power signal by continuously
accumulating the apparent power signal in an internal 48-bit
register. The apparent energy register (VAHR[23:0]) represents
the upper 24 bits of this internal register. This discrete time
accumulation or summation is equivalent to integration in
continuous time. Equation 32 expresses the relationship.
⎭
⎬
⎫
⎩
⎨
⎧
×
=
∑
∞
=
→
0
0
)
(
lim
n
T
T
nT
Power
Apparent
Energy
Apparent
(32)
where:
n is the discrete time sample number.
T is the sample period.
Vrms
Irms
0x1A36E2
APPARENT POWER
SIGNAL (P)
CURRENT RMS SIGNAL – i(t)
VOLTAGE RMS SIGNAL – v(t)
0x00
0x1CF68C
0x00
0x1CF68C
VAGAIN
TO
DIGITAL-TO-FREQUENCY
CONVERTER
VARMSCFCON
Figure 54. Apparent Power Signal Processing



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