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AN4070 Datasheet(PDF) 30 Page - STMicroelectronics

Part # AN4070
Description  250 W grid connected microinverter
PDF  53 Pages
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Manufacturer  STMICROELECTRONICS [STMicroelectronics]
Direct Link  http://www.st.com
Logo STMICROELECTRONICS - STMicroelectronics

AN4070 Datasheet(HTML) 30 Page - STMicroelectronics

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STM32F103xx based current control for inverter grid connection
AN4070
30/53
Doc ID 022934 Rev 1
Equation 40
where:
Equation 41
Then the two components on the d-q reference frame are:
Equation 42
Therefore, if
θ=θe, the two components are reduced:
Equation 43
The grid voltage angle is detected using the PLL structure shown in Figure 20.
Figure 20.
Implemented PLL structure
The grid voltage and the 90 degree phase shifted voltage are used to perform the reference
frame change, or “Park transformation”, and create two voltage components on the d-q
reference frame called Vd and Vq. One of the two components is controlled to zero with a PI
regulator. The output of the PI regulator is the grid frequency which can be integrated to
obtain the grid angle.
It is worth noting that if the Vq component is controlled to zero then the Vd component
follows the grid voltage rotation. In this case, the active power injected into the grid can be
⎥
⎦
⎤
⎢
⎣
⎡
⋅
⎥
⎦
⎤
⎢
⎣
⎡
θ
θ
θ
−
θ
=
⎥
⎦
⎤
⎢
⎣
⎡
α
β
q
d
V
V
cos
sin
sin
cos
V
V
⎥
⎦
⎤
⎢
⎣
⎡
θ
θ
=
⎥
⎦
⎤
⎢
⎣
⎡
α
β
e
m
e
m
sin
V
cos
V
V
V
)
sin(
V
cos
sin
V
sin
cos
V
Vq
)
cos(
V
sen
sen
V
cos
cos
V
Vd
e
m
e
m
e
m
e
m
e
m
e
m
θ
−
θ
=
θ
θ
+
θ
θ
−
=
θ
−
θ
=
θ
θ
+
θ
θ
=
0
Vq
V
Vd
m
=
=
AM12097v1
Grid Voltage
Ө
e(Grid Angle)
ωFF
90º
Өe
V
α=Vgrid
V
β
d,q
α,β
PI
PI
Vd
Vq
-
Vd*=0
dt
e
∫
=ω
θ
SW
HW
Park
Transformation
AC MAIN
Voltage
Sensing
& Scaling
Analog
Analog
to digital
to digital
converter
converter
dt
e
∫
=ω
θ



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