AN2357 Freescale Semiconductor / Motorola, AN2357 Datasheet - Page 3

• Manufacturer Part Number: AN2357
• Description: Sine Voltage Powered 3-Phase Permanent Magnet Motor with Hall Sensor
• Manufacturer: Freescale Semiconductor / Motorola

MOTOROLA
Sine Voltage Powered 3-Phase Permanent Magnet Motor with Hall Sensor
The presented application uses the Hall sensor to sense actual position. The
sensor output is read by the MCU and used for synchronizing the generated
sine wave.
The PM motor is defined by the following equations:
where:
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Freescale Semiconductor, Inc.
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Figure 1. 3-Phase Permanent Magnet Motor — Cross Section
r
T
Ψ
U
Ψ
∠
I
s
e
s
U
s
r
i
ψ
s
T
s
,
s
e
ψ
=
=
=
r
r
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L
s
— Space vector of stator voltage
— Space vector of stator current
— Stator resistance
— Space vector of magnetic flux
— Space vector of rotor magnetic flux evoked by the
— Electrical torque
— Angle between vectors of stator current and rotor
⋅
I
s
s
I
⋅
s
I
⋅
+
s
permanent magnet
magnetic flux
ψ
+
dψ
-------- -
dt
ψ
⋅
s
r
sin
(
∠
I
s
,
ψ
)
=
I
s
⋅
ψ
r
⋅
sin
(
∠
I
s
,
ψ
r
)
Stator
Stator Winding
(in slots)
Shaft
Rotor
Air gap
Permanent Magnets
Target Motor Theory
Equation 1
Equation 2
Equation 3
AN2357/D
3