Microchip Technology ARD00330 データシート

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Meter Calibration
© 2011 Microchip Technology Inc.
DS51964A-page 15
2.3.2.2
ACTIVE ENERGY GAIN COMPUTATION
Active energy gain is computed as the percentage ratio of the error recorded against
the previous gain. The Error % is the difference between the input line active energy
and the meter output as recorded by the reference meter. Active energy gain is com-
puted using Equation 2-1.
EQUATION 2-1:
ACTIVE ENERGY GAIN COMPUTATION
2.3.2.3
PHASE COMPENSATION
Due to reactive components in the signal flow path, the voltage and current may not be
in phase at PF = 1.0. Therefore, the voltage and current samples measured will have
a small phase offset, that may affect the energy accuracy. To rectify the offset, phase
compensation is introduced, which shifts the voltage/current samples by corresponding
angle through an interpolation method.
2.3.2.3.1
Phase Compensation Calculation
Equations 2-2 to 2-6 shows the calculation of different stages of phase compensation.
EQUATION 2-2:
ENERGY WITH PHASE ERROR AT PF = 1.0
EQUATION 2-3:
ENERGY WITH PHASE ERROR AT PF = 0.5 LAG
Then,
GAIN_NUMR_ENERGY_ACT 
(New Value) 
= GAIN (
New Value)
 / 2
GAIN_DENR_ENERGY_ACT
(New Value)
 = GAIN_DENR_ENERGY_ACT
(Old Value)
 + 1
else,
GAIN_NUMR_ENERGY_ACT 
(New Value
 = GAIN
 (New Value)
GAIN_DENR_ENERGY_ACT 
(New Value)
 = GAIN_DENR_ENERGY_ACT 
(Old Value)
 
)
GAIN NewValue
(
)
GAIN OldValue
(
)
Error%
100
------------------
1
+
--------------------------------------------
=
If  GAIN > 65535 
Energy at PF = 1.0 ( Φ= 0
o
): 
E
UPF
 = V
RMS
 x I
RMS
 x Cos( Φ+ β) x Period = V
RMS
 
x I
RMS
 x Cos( β) x Period
Where:
Φ = Input Phase between V and I 
β = Phase deviation between V and I, β Є [-90°, +90°]
Energy at PF = 0.5 lag ( Φ= 60
o)
E
PF0.5_error
 = V
RMS
 x I
RMS
 x Cos( Φ + β)  x Period
                    = V
RMS
 x I
RMS
 x Cos( 60 + β)  x Period
Where:
Φ = Input Phase between V and I 
β = Phase deviation between V and I, β Є [-90°, +90°]