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STPM11ATR 데이터시트(PDF) 36 Page - STMicroelectronics

부품명 STPM11ATR
상세설명  Single phase energy metering IC with pulsed output and digital calibration
PDF  46 Pages
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제조업체  STMICROELECTRONICS [STMicroelectronics]
홈페이지  http://www.st.com
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STPM11ATR 데이터시트(HTML) 36 Page - STMicroelectronics

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Energy calculation algorithm
STPM11, STPM12, STPM13, STPM14
36/46
Doc ID 13167 Rev 8
Equation 16
has been then removed from the instantaneous power.
In the case of current sensors like "Rogowski coils", which provide the rate of the
instantaneous current signal, the initial voltage signal differentiation stage is switched off. In
this case the signals coming from the A/D conversion and their consequent integrations are:
Equation 17
v(t) = V
⋅ sin (tω);
Equation 18
Equation 19
Equation 20
The signals process flow is the same as shown in the previous case, and even with the
formulas above, the result is the same.
The absence of any AC component allows a very fast calibration procedure. Averaging the
readings of several line periods is not needed. The active energy measurement is already
stable after one line cycle. Moreover the digital calibration allows saving time and space
compared to the hardware calibration made with resistor strings.
⎟
⎠
⎞
⎜
⎝
⎛
ϕ
+
ω
⋅
⋅
2
)
t
2
cos(
I
V
)
t
cos(
I
dt
)
t
(
di
)
t
(
i
ϕ
+
ω
⋅
ω
⋅
−
=
=
′
t
cos
V
dt
)
t
(
v
)
t
(
V
ω
⋅
ω
−
=
⋅
=
∫
)
t
sin(
I
)
t
(
i
dt
)
t
(
i
)
t
(
i
ϕ
+
ω
⋅
−
=
=
⋅
′
=
′′
∫
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