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STPM01 数据表(PDF) 46 Page - STMicroelectronics

部件名 STPM01
功能描述  Programmable single phase energy metering IC with tamper detection
PDF  60 Pages
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制造商  STMICROELECTRONICS [STMicroelectronics]
网页  http://www.st.com
标志 STMICROELECTRONICS - STMicroelectronics

STPM01 数据表(HTML) 46 Page - STMicroelectronics

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Theory of operation
STPM01
46/60
Doc ID 10853 Rev 8
Equation 6
dv/dt
→ v(t) = V
⋅sin ωt; [see Figure 28 - 7]
i(t)
→
[see Figure 28 - 8]
Now four signals are available. Combining (pairing) them by means of two multiplying stages
two results are obtained:
Equation 7
[see Figure 28 - 9]
Equation 8
[see Figure 28 - 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:
Equation 9
[see Figure 28 - 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:
Equation 10
v(t) = V•sin
ωt
)
t
cos(
I
dt
)
t
(
i
)
t
(
I
ϕ
+
ω
⋅
ω
−
=
⋅
=
∫
2
)
t
2
cos(
I
V
2
cos
I
V
dt
)
t
(
i
dt
dv
)
t
(
p1
ϕ
+
ω
⋅
⋅
−
ϕ
⋅
⋅
−
=
⋅
⋅
=
/
∫
2
)
t
2
cos(
I
V
2
cos
I
V
)
t
(
i
)
t
(
v
)
t
(
p2
ϕ
+
ω
⋅
⋅
−
ϕ
⋅
⋅
=
⋅
=
/
2
cos
I
V
2
))
t
(
p
)
t
(
p
(
)
t
(
p
1
2
ϕ
⋅
⋅
=
/
−
/
=
)
t
cos(
I
dt
)
t
(
di
)
t
(
i
ϕ
+
ω
⋅
ω
⋅
−
=
=
′



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