ADE7753
Rev. C | Page 39 of 60
Watt Gain
The first step of calibrating the gain is to define the line voltage,
base current and the maximum current for the meter. A meter
constant needs to be determined for CF, such as 3200 imp/kWh
or 3.2 imp/Wh. Note that the line voltage and the maximum
current scale to half of their respective analog input ranges in
this example.
The expected CF in Hz is
CFexpected (Hz) =
)
cos(
s/h
3600
(W)
(imp/Wh)
×
× Load
ant
MeterConst
(34)
where is the angle between I and V, and cos
is the power
factor.
)
(
The ratio of active energy LSBs per CF pulse is adjusted using
the CFNUM, CFDEN, and WDIV registers.
CFexpected =
)
1
(
)
1
(
(s)
+
×
CFDEN
CFNUM
WDIV
onTime
Accumulati
LAENERGY
(35)
The relationship between watt-hours accumulated and the
quantity read from AENERGY can be determined from the
amount of active energy accumulated over time with a given
load:
h
LAENERGY
Time
on
Accumulati
Load
s/
3600
(s)
(W)
LSB
Wh
×
=
(36)
where Accumulation Time can be determined from the value in
the line period and the number of half line cycles fixed in the
LINECYC register.
Accumulation time(s) =
2
(s)
Period
Line
LINECYC
IB ×
(37)
The line period can be determined from the PERIOD register:
Line Period(s) = PERIOD ×
CLKIN
8
(38)
The AENERGY Wh/LSB ratio can also be expressed in terms of
the meter constant:
(imp/Wh)
)
1
(
)
1
(
LSB
Wh
ant
MeterConst
WDIV
CFDEN
CFNUM
×
+
=
(39)
In a meter design, WDIV, CFNUM, and CFDEN should be kept
constant across all meters to ensure that the Wh/LSB constant is
maintained. Leaving WDIV at its default value of 0 ensures
maximum resolution. The WDIV register is not included in the
CF signal chain so it does not affect the frequency pulse output.
The WGAIN register is used to finely calibrate each meter. Cali-
brating the WGAIN register changes both CF and AENERGY for
a given load condition.
AENERGYexpected = AENERGYnominal ×
+
12
2
1
WGAIN
(40)
CFexpected (Hz) = CFnominal ×
+
×
+
12
2
1
)
1
(
)
1
(
WGAIN
CFDEN
CFNUM
(41)
When calibrating with a reference meter, WGAIN is adjusted
until CF matches the reference meter pulse output. If an accurate
source is used to calibrate, WGAIN is modified until the active
energy accumulation rate yields the expected CF pulse rate.
The steps of designing and calibrating the active energy portion
of a meter with either a reference meter or an accurate source
are outlined in the following examples. The specifications for
this example are
Meter Constant:
MeterConstant(imp/Wh)
= 3.2
Base Current:
Ib = 10 A
Maximum Current:
IMAX = 60 A
Line Voltage:
Vnominal = 220 V
Line Frequency:
fl = 50 Hz
The first step in calibration with either a reference meter or an
accurate source is to calculate the CF denominator, CFDEN.
This is done by comparing the expected CF pulse output to the
nominal CF output with the default CFDEN = 0x3F and
CFNUM = 0x3F and when the base current is applied.
The expected CF output for this meter with the base current
applied is 1.9556 Hz using Equation 34.
CFIB(expected)(Hz) =
Hz
9556
.
1
)
cos(
s/h
3600
V
220
A
10
imp/Wh
200
.
3
=
×
Alternatively, CFexpected can be measured from a reference meter
pulse output if available.
CFexpected(Hz) = CFref
(42)
The maximum CF frequency measured without any frequency
division and with ac inputs at full scale is 23 kHz. For this
example, the nominal CF with the test current, Ib, applied is
958 Hz. In this example the line voltage and maximum current
scale half of their respective analog input ranges. The line
voltage and maximum current should not be fixed at the
maximum analog inputs to account for occurrences such as
spikes on the line.
CFnominal(Hz) =
MAX
I
×
2
1
2
1
kHz
23
(43)
CFIB(nominal)(Hz) =
Hz
958
60
10
2
1
2
1
kHz
23
=
×
The nominal CF on a sample set of meters should be measured
using the default CFDEN, CFNUM, and WDIV to ensure that
the best CFDEN is chosen for the design.
With the CFNUM register set to 0, CFDEN is calculated to be
489 for the example meter: