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國立成功大學 National Cheng Kung University (NCKU)
Maximum Torque per Ampere
(MTPA) Control
Student :歐晉豪、湯為博
Date :2020/06/23
國立成功大學 National Cheng Kung University (NCKU)
PMSM
PMSM
(permanent-magnet
synchronous motor)
Input three phase
voltage to control the
speed and torque of
motor.
2
國立成功大學 National Cheng Kung University (NCKU)
Clarke and Park transform
3
Clarke transform Park transform
time-varying current direct current
國立成功大學 National Cheng Kung University (NCKU)
FOC (field-oriented control) with id = 0
4
d,q
α,β
Inverter
SV
PWM
d,q
α,β
PID
PID
α,β
a,b,c
PID
MOTOR
Speed/Rotor position
feedback
ic
ib
ia
iα
iβ
id
iq
i*
d
+
+
-
-
ωr
ω*
r
+
-
vq
vd vβ
vα
Clarke
Park
Inverse Park
0
i*
q
國立成功大學 National Cheng Kung University (NCKU)
Motor electrical torque(d-q axis)
5
When 𝑖𝑑 = 0, 𝑇𝑒 =
3𝑃
4
𝜆𝑚𝑖𝑞
Advantage :
Easy to implement.
Disadvantage :
Because 𝑖𝑑 is zero, motor aquire
more current to perform the same
torque.
λm: magnet flux linkage
P : pole number
LdLq: d-q inductance
𝐼𝑠: The total current we use
𝑇𝑒
𝑖𝑑
2
+ 𝑖𝑞
2
= 𝐼𝑠
2
𝐼𝑠
國立成功大學 National Cheng Kung University (NCKU)
MTPA
6
I1 I2 I3 Id
Iq
T1
T2
T3
Is β
Goal : Find the maximum torque by applied different ratio of 𝑖𝑑, 𝑖𝑞
𝑖𝑑
2
+ 𝑖𝑞
2
= 𝐼𝑠
2
國立成功大學 National Cheng Kung University (NCKU)
Method
Analytical approach (By build a table):
7
Numerical approach(Gold search method) : 5-9 ilterations
Find optimal β to maximum the Torque function.(0  < β<359)
Numerical approach(SQP) :
Use the matlab function “fmincon()” to find
the optimal value of 𝑖𝑑 and 𝑖𝑞 with constriant. 𝑖𝑑
2
+ 𝑖𝑞
2
= 𝐼𝑠
2
Cost function :
國立成功大學 National Cheng Kung University (NCKU)
Motor specification
8
3.7kW motor
國立成功大學 National Cheng Kung University (NCKU)
Simulation result (under matlab simulink)
9
T
e
(N*m)
No mtpa
Analytical mtpa
Numerical mtpa
國立成功大學 National Cheng Kung University (NCKU)
Simulation result (under matlab simulink)
10
Speed(rpm)
No mtpa
Analytical mtpa
Numerical mtpa
國立成功大學 National Cheng Kung University (NCKU)
Simulation result (under matlab simulink)
11
Is
Redune 1 A current in the
1000rpm and 16 N*m condition.
2600mAh
No mtpa
Analytical mtpa
Numerical mtpa
國立成功大學 National Cheng Kung University (NCKU)
Future work
12
Apply the golden search method on the mcu
compare to the traditional way(Look-up table)
國立成功大學 National Cheng Kung University (NCKU) 13
THANK YOU FOR
LISTENING

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最佳化_mtpa.pptx

  • 1. 國立成功大學 National Cheng Kung University (NCKU) Maximum Torque per Ampere (MTPA) Control Student :歐晉豪、湯為博 Date :2020/06/23
  • 2. 國立成功大學 National Cheng Kung University (NCKU) PMSM PMSM (permanent-magnet synchronous motor) Input three phase voltage to control the speed and torque of motor. 2
  • 3. 國立成功大學 National Cheng Kung University (NCKU) Clarke and Park transform 3 Clarke transform Park transform time-varying current direct current
  • 4. 國立成功大學 National Cheng Kung University (NCKU) FOC (field-oriented control) with id = 0 4 d,q α,β Inverter SV PWM d,q α,β PID PID α,β a,b,c PID MOTOR Speed/Rotor position feedback ic ib ia iα iβ id iq i* d + + - - ωr ω* r + - vq vd vβ vα Clarke Park Inverse Park 0 i* q
  • 5. 國立成功大學 National Cheng Kung University (NCKU) Motor electrical torque(d-q axis) 5 When 𝑖𝑑 = 0, 𝑇𝑒 = 3𝑃 4 𝜆𝑚𝑖𝑞 Advantage : Easy to implement. Disadvantage : Because 𝑖𝑑 is zero, motor aquire more current to perform the same torque. λm: magnet flux linkage P : pole number LdLq: d-q inductance 𝐼𝑠: The total current we use 𝑇𝑒 𝑖𝑑 2 + 𝑖𝑞 2 = 𝐼𝑠 2 𝐼𝑠
  • 6. 國立成功大學 National Cheng Kung University (NCKU) MTPA 6 I1 I2 I3 Id Iq T1 T2 T3 Is β Goal : Find the maximum torque by applied different ratio of 𝑖𝑑, 𝑖𝑞 𝑖𝑑 2 + 𝑖𝑞 2 = 𝐼𝑠 2
  • 7. 國立成功大學 National Cheng Kung University (NCKU) Method Analytical approach (By build a table): 7 Numerical approach(Gold search method) : 5-9 ilterations Find optimal β to maximum the Torque function.(0  < β<359) Numerical approach(SQP) : Use the matlab function “fmincon()” to find the optimal value of 𝑖𝑑 and 𝑖𝑞 with constriant. 𝑖𝑑 2 + 𝑖𝑞 2 = 𝐼𝑠 2 Cost function :
  • 8. 國立成功大學 National Cheng Kung University (NCKU) Motor specification 8 3.7kW motor
  • 9. 國立成功大學 National Cheng Kung University (NCKU) Simulation result (under matlab simulink) 9 T e (N*m) No mtpa Analytical mtpa Numerical mtpa
  • 10. 國立成功大學 National Cheng Kung University (NCKU) Simulation result (under matlab simulink) 10 Speed(rpm) No mtpa Analytical mtpa Numerical mtpa
  • 11. 國立成功大學 National Cheng Kung University (NCKU) Simulation result (under matlab simulink) 11 Is Redune 1 A current in the 1000rpm and 16 N*m condition. 2600mAh No mtpa Analytical mtpa Numerical mtpa
  • 12. 國立成功大學 National Cheng Kung University (NCKU) Future work 12 Apply the golden search method on the mcu compare to the traditional way(Look-up table)
  • 13. 國立成功大學 National Cheng Kung University (NCKU) 13 THANK YOU FOR LISTENING