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STPM10 Datasheet(PDF) 40 Page - STMicroelectronics

Part # STPM10
Description  Programmable single-phase energy metering IC with tamper detection
PDF  51 Pages
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Manufacturer  STMICROELECTRONICS [STMicroelectronics]
Direct Link  http://www.st.com
Logo STMICROELECTRONICS - STMicroelectronics

STPM10 Datasheet(HTML) 40 Page - STMicroelectronics

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Theory of operation
STPM10
40/51
Doc ID 17728 Rev 3
The reactive power, then, presents a ripple at twice the line frequency. Since the average
value of a sinusoid is 0, this ripple does not contribute to the reactive energy calculation over
time. Moreover, in the STPM10 the reactive power is not used for meter calibration or to
generate the stepper pulses, so this ripple does not affect the overall system performance.
7.23.3
Apparent power and RMS values
The RMS values are calculated starting from the following formulas:
Equation 18
Multiplying Equation 18 by
ω, the I
RMS value is obtained:
Equation 19
The RMS voltage value is obtained by:
Equation 20
For the apparent power, another value is produced:
Equation 21
Multiplying Equation 18 and Equation 21, the apparent power is produced:
Equation 22
())
t
2
sin(
sin
2
VI
)
t
(
Q
2
1
)
t
(
Q
1
3
ϕ
+
ω
−
ϕ
⋅
=
ω
⋅
⋅
=
2
I
dt
)
t
(
I
T
1
T
0
2
⋅
ω
=
∫
2
I
I
RMS =
2
V
dt
)
t
(
v
T
1
V
T
0
2
RMS
=
=
∫
2
V
dt
)
t
(
v
T
1
T
0
2
ω
⋅
=
′
∫



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