![Page 1: 01.MotorControl.ppt [호환 모드] - WordPress.com · 2016. 3. 1. · arb r mm iNi N KK ... Microsoft PowerPoint - 01.MotorControl.ppt [호환 모드] Author: Wonhee Kim Created](https://reader035.vdocumento.com/reader035/viewer/2022070214/6116aa6718d59a2c7756da26/html5/thumbnails/1.jpg)
Motor Control
Prof. Wonhee Kim
Energy System Engineering, Chung-Ang University
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3 Phase Permanent Magnet Synchronous Motor (PMSM)
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3 Phase Permanent Magnet Synchronous Motor (PMSM)
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3 Phase PMSM Modeling
1 2 2sin sin sin3 3
1 sin
1 2sin3
1 2sin3
m a b c l
a a n a a e
b b n b b e
c c n c c e
K p i p i p i BJ
i v v R i K pL
i v v R i K pL
i v v R i K pL
where va, vb, vc and ia, ib, ic are the voltages and currents inphases A, B, and C, respectively. ω is the rotor (angular)velocity, θ is the rotor (angular) position, B is the viscousfriction coefficient, J is the inertia of the motor, Km is the motortorque constant, Ke is the back-emf constant, R is the phasewinding resistance, L is the phase winding inductance, and p isthe number of pole pair. τl is the load torque perturbation.
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PMSM with Clarke Transformation
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PMSM Modeling with Clarke Transformation
1 sin cos
1 sin
1 cos
m l
e
e
K i p i p BJ
i v R i K pL
i v R i K pL
1 2 2sin sin sin3 3
1 sin
1 2sin3
1 2sin3
m a b c l
a a n a a e
b b n b b e
c c n c c e
K i p i p i p BJ
i v v R i K pL
i v v R i K pL
i v v R i K pL
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7
PMSM with DQ (Park) Transformation
1 sin cos
1 sin
1 cos
m l
e
e
K i p i p BJ
i v R i K pL
i v R i K pL
cos sinsin cos
cos sinsin cos
d
q
d
q
i ip pi ip p
v vp pv vp p
1
1
1
m q l
d d d d q
q q q q d e
K i BJ
i v R i pL iL
i v R i pL i KL
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DC Motor
1
1
1
m q l
q q q q d e
d d d d q
K i BJ
i v R i pL i KL
i v R i pL iL
1
1
m l
e
K i BJ
i v Ri KL
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DC Motor Control
DC motorPI
dqi
d- -
v
i
PI
eK
1
1
m l
e
K i BJ
i v Ri KL
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PMSM Control
cos
2cos32cos3
d
d
d
p
p
p
cos
sin
d
d
p
p
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11
PMSM Control
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PMSM Control
PMSM
DQ/Clarke Transform-
ation
InverseDQ/Clarke Transform-
ation
PI
PIddi
dqi
d- -
-
qv
dv
avbv
aibi
qi
dici
PI
eK
cv
1
1
1
m q l
q q q q d e
d d d d q
K i BJ
i v R i pL i KL
i v R i pL iL
![Page 13: 01.MotorControl.ppt [호환 모드] - WordPress.com · 2016. 3. 1. · arb r mm iNi N KK ... Microsoft PowerPoint - 01.MotorControl.ppt [호환 모드] Author: Wonhee Kim Created](https://reader035.vdocumento.com/reader035/viewer/2022070214/6116aa6718d59a2c7756da26/html5/thumbnails/13.jpg)
• Desired current to generate the torque
cos sinsin cos
cos sinsin cos
d
q
d
q
i ip pi ip p
v vp pv vp p
cos , sind dd ms q msi I p p i I p p
1 [ sin cos ]m m lK i p K i p BJ
d
d dm qK i
cos,
sin
d dmsd d
d qm ms m
p pi i
K p p K
sin
dd
m ms
IK p p
cos , sind dms msi I p i I p
Desired Direct Current for PMSM Control
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• Field oriented control: zero direct current for torque maximization
cos,
sin
d dmsd d
d qm ms m
p pi i
K p p K
0,d
d dd q
m
i iK
0.5rms
r
NN
sin , cosd d
d da r b r
m m
i N i NK K
Desired Direct Current for PMSM Control
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• Field weakening control: negative direct current to avoid the input saturation
1
1
1
m q
d d d q
q q q d e
K i BJ
i v Ri pL iL
i v Ri pL i KL
Back-emf cancellation using negative ide
dKipL
Desired Direct Current for PMSM Control
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• Field weakening control: negative direct current to avoid the input saturation
cos,
sin
d dmsd d
d qm ms m
p pi i
K p p K
tan ,d d
d dd l q
m m
i iK K
0.5 lms
pp
sin , coscos cos
d dd d
l r lm l m l
i p i pK K
2 2
2 22 2, atand e
d l d
pLK pLKeiR p L R p L
Desired Direct Current for PMSM Control
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• Comparison of open-loop, FOC, and FWC
(a) Open-loop (b) FOC (c) FWC
Desired Direct Current for PMSM Control
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PMSM Control
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Inverter
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Inverter
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Carrier-based PWM
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Carrier-based PWM
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Carrier-based PWM