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STPM10 Datenblatt(PDF) 37 Page - STMicroelectronics

Teilenummer STPM10
Bauteilbeschribung  Programmable single-phase energy metering IC with tamper detection
PDF  51 Pages
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Hersteller  STMICROELECTRONICS [STMicroelectronics]
Direct Link  http://www.st.com
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STPM10 Datenblatt(HTML) 37 Page - STMicroelectronics

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STPM10
Theory of operation
Doc ID 17728 Rev 3
37/51
where I is the peak current,
ω is related to the line frequency and ϕ is the phase difference
between voltage and current.
7.23.1
Active power
In the STPM10, after the pre-conditioning and the A/D conversion, the digital voltage signal
(which is dynamically more stable with respect to the current signal) is processed by a
differentiator stage which transforms:
Equation 7
v(t)
→ v’(t) = dv/dt = V
⋅ ω ⋅ cos ωt − [see Figure 26 - 5]
the resulting signal, together with the pre-processed and digitalized current signal:
Equation 8
i(t) = I
sin(ωt + ϕ); [see Figure 26 - 6]
are then available for the calculation process. These digital signals are also provided to two
additional stages, which then integrate of themselves, obtaining:
Equation 9
dv/dt
→ v(t) = V
sin ωt; [see Figure 26 - 7]
Equation 10
i(t)
[see Figure 26 - 8]
)
t
cos(
I
dt
)
t
(
i
)
t
(
I
ϕ
+
ω
ω
=
=



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