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71M6515H
A Maxim Integrated Products Brand
Energy Meter IC
DATA SHEET
JULY 2011
Calibration with Three Measurements
The simplest calibration method is to make three measurements. Typically, a voltage measurement and two Watt-hour (Wh)
measurements are made.
If the voltage measurement has the error E V and the two Wh measurements have errors E 0 and E 60 , where E 0 is measured
with φ L = 0 and E 60 is measured with φ L = 60. These values should be simple ratios—not percentage values. They should be
zero when the meter is accurate and negative when the meter runs slow. The fundamental frequency is f 0 . T is equal to 1/f S ,
where f S is the sample frequency (2520.62Hz). Set all calibration factors to nominal: CAL_IA = 16384, CAL_VA = 16384,
PHADJ_A = 0.
From the voltage measurement, we determine that
1. ?
A XV = E V + 1
We use the other two measurements to determine φ S and A XI .
2.
E 0 =
IV A XV A XI cos( 0 ? φ S )
IV cos( 0 )
? 1 = A XV A XI cos( φ S ) ? 1
2a.
A XV A XI =
E 0 + 1
cos( φ S )
3.
E 60 =
IV A XV A XI cos( 60 ? φ S )
IV cos( 60 )
? 1 = A XV A XI
cos( 60 ? φ S )
cos( 60 )
? 1
3a.
E 60 =
A XV A XI [ cos( 60 ) cos( φ S ) + sin( 60) sin( φ S ) ]
cos( 60 )
? 1
= A XV A XI cos( φ S ) + A XV A XI tan( 60 ) sin( φ S ) ? 1
Combining 2a and 3a:
4.
E 60 = E 0 + ( E 0 + 1 ) tan( 60 ) tan( φ S )
5.
tan( φ S ) =
E 60 ? E 0
( E 0 + 1 ) tan( 60 )
φ S = tan ? 1 ? ?
? ?
6. ?
? E 60 ? E 0 ?
? ( E 0 + 1 ) tan( 60 ) ?
and from 2a:
7. ?
A XI =
E 0 + 1
A XV cos( φ S )
Now that we know the A XV , A XI , and φ S errors, we calculate the new calibration voltage gain coefficient from the previous ones:
CAL _ V NEW =
CAL _ V
A XV
Page: 26 of 60
? 2005 ? 2011 Teridian Semiconductor Corporation
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