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UM-YROTATE-IT-RX62T Arkusz danych(PDF) 21 Page - Renesas Technology Corp

Numer części UM-YROTATE-IT-RX62T
Szczegółowy opis  Low Cost Motor Control Kit based on RX62T
PDF  54 Pages
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Producent  RENESAS [Renesas Technology Corp]
Strona internetowa  http://www.renesas.com
Logo RENESAS - Renesas Technology Corp

UM-YROTATE-IT-RX62T Arkusz danych(HTML) 21 Page - Renesas Technology Corp

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RX62T
YROTATE-IT-RX62T Motor Control Kit
UM-YROTATE-IT-RX62T Rev.1.00
Page 21 of 51
Jan 15, 2014
dt
d
i
R
v
dt
d
i
R
v
S
S
β
β
β
α
α
α
λ
λ
+
=
+
=
These equations show that magnetic flux can be obtained from applied voltages and measured currents simply by
integration:
d
i
R
v
dt
i
R
v
S
t
S
t
)
(
)
(
0
0
0
0
β
β
β
β
α
α
α
α
λ
λ
λ
λ
∫
∫
−
+
=
−
+
=
Furthermore:
β
β
α
α
λ
ϑ
λ
ϑ
Li
Li
m
m
−
=
Λ
−
=
Λ
)
sin(
)
cos(
If the synchronous inductance L is small, the current terms can be neglected, if not they have to be considered. In
general:
β
β
β
β
β
β
α
α
α
α
α
α
λ
λ
ϑ
λ
λ
ϑ
Li
dt
i
R
v
Li
y
Li
dt
i
R
v
Li
x
S
t
m
S
t
m
−
−
+
=
−
=
Λ
=
−
−
+
=
−
=
Λ
=
∫
∫
)
(
)
sin(
)
(
)
cos(
0
0
0
0
So in the (
α,β) system phase we obtain from the flux components:
)
arctan(
y
x
=
ϑ
The system speed
ω can be obtained as the derivative of the angle ϑ.
)
(t
dt
d ϑ
ω =
Based on this, a sensorless control algorithm was developed to give the imposed phase voltages, to measure phase
currents, to estimate the angular position
ϑ and finally the system speed.



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