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STPM01FTR датащи(PDF) 44 Page - STMicroelectronics

номер детали STPM01FTR
подробное описание детали  Programmable single phase energy metering IC
PDF  56 Pages
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производитель  STMICROELECTRONICS [STMicroelectronics]
домашняя страница  http://www.st.com
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STPM01FTR датащи(HTML) 44 Page - STMicroelectronics

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Theory of operation
STPM01
44/56
[Eq. 6 - see (9)]
[Eq. 7 - see (10)]
After these two operations, another stage performs the subtraction between the results p2
and p1 and a division by 2, obtaining the active power:
[Eq. 8 - see (11)]
In this way, the AC part V•I•cos(2
ωt + ϕ)/2 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 (di/dt), the initial voltage signal differentiated stage will be
switched off. In this case the signals coming from the A/D conversion and their consequent
integrations will be:
v(t) = V•sin
ωt [Eq. 9]
[Eq. 10]
[Eq. 11][
[Eq. 12]
The signals process flow will be the same as shown in the previous case, and even with the
formulas above, the result will be the same.
The absence of any AC component allows a very fast calibration procedure: it requires just
to set (using the internal device programming registers) the voltage and current sensor
conversion constants, using the effective voltage and current (Vrms, Irms) readings
provided by the device built-in communication port, avoiding the time-averaged readings of
the active power or need for line synchronization.
8.24.2
Reactive power
The reactive power is produced using the already computed signals. In case of shunt sensor
the voltage signal is derived while the current signal is not. A first computation is to multiply
2
)
2
cos(
2
cos
)
(
)
(
1
ϕ
ω
ϕ
+
⋅
⋅
−
⋅
⋅
−
=
⋅
⋅
=
/
∫
t
I
V
I
V
dt
t
i
dt
dv
t
p
2
)
2
cos(
2
cos
)
(
)
(
)
(
2
ϕ
ω
ϕ
+
⋅
⋅
−
⋅
⋅
=
⋅
=
/
t
I
V
I
V
t
i
t
v
t
p
2
cos
2
))
(
)
(
(
)
(
1
2
ϕ
⋅
⋅
=
/
−
/
=
I
V
t
p
t
p
t
p
)
cos(
)
(
)
(
ϕ
ω
ω
+
⋅
⋅
−
=
=
′
t
I
dt
t
di
t
i
t
V
dt
t
v
t
V
ω
ω
cos
)
(
)
(
⋅
−
=
⋅
=
∫
)
sin(
)
(
)
(
)
(
ϕ
ω +
⋅
−
=
=
⋅
′
=
′′
∫
t
I
t
i
dt
t
i
t
i



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