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![Page 1: 1 Examples Analytical & Theoretical Modeling Field-weakening zone optimization [EV propulsion motor]](https://reader036.dokumen.tips/reader036/viewer/2022062422/56649eb55503460f94bbd66f/html5/thumbnails/1.jpg)
1
Exa
mpl
esAnalytical & Theoretical Modeling
Field-weakening zone optimization
[EV propulsion motor]
![Page 2: 1 Examples Analytical & Theoretical Modeling Field-weakening zone optimization [EV propulsion motor]](https://reader036.dokumen.tips/reader036/viewer/2022062422/56649eb55503460f94bbd66f/html5/thumbnails/2.jpg)
2
Exa
mpl
esAnalytical & Theoretical Modeling
Flux weakening zone– Sharing the “torque - speed” plane
Flux weakening zone– Sharing the “torque - speed” plane
mm2
c
maxinmm
LwLp
Uk
Po
wer
, P
Speed,
Forbiddenzone
FIELD WEAKININGZONE
Line o maximum permittedtransistor current
wk
U
mm
maxin
No need in fieldweakining
wkmmP
Uin(max) - max voltage
kmm - specific motor
constant
Lmm - specific motor
inductance
Lc - choke inductance
w - winding turns number
![Page 3: 1 Examples Analytical & Theoretical Modeling Field-weakening zone optimization [EV propulsion motor]](https://reader036.dokumen.tips/reader036/viewer/2022062422/56649eb55503460f94bbd66f/html5/thumbnails/3.jpg)
3
Exa
mpl
esAnalytical & Theoretical Modeling
Flux weakening zone – Turns number influence
Flux weakening zone – Turns number influence
Pow
er, P
Speed,
FIELD WEAKINING ZONE
Forbiddenzone
No need in fieldweakining
Small turns number Big turns number
Pow
er, P
Speed,
Forbiddenzone FIELD WEAKINING
ZONE
No need in fieldweakining
![Page 4: 1 Examples Analytical & Theoretical Modeling Field-weakening zone optimization [EV propulsion motor]](https://reader036.dokumen.tips/reader036/viewer/2022062422/56649eb55503460f94bbd66f/html5/thumbnails/4.jpg)
4
Exa
mpl
esAnalytical & Theoretical Modeling
Flux weakening zone– Inductivity influence
Flux weakening zone– Inductivity influence
Pow
er, P
Speed,
FIELD WEAKINING ZONE
Forbiddenzone
No need in fieldweakining
High inductivity
Pow
er, P
Speed,
FIELD WEAKINING ZONE
Forbiddenzone
No need in fieldweakining
Low inductivity
![Page 5: 1 Examples Analytical & Theoretical Modeling Field-weakening zone optimization [EV propulsion motor]](https://reader036.dokumen.tips/reader036/viewer/2022062422/56649eb55503460f94bbd66f/html5/thumbnails/5.jpg)
5
Exa
mpl
esAnalytical & Theoretical Modeling
Flux weakening zone– Design objectives
Flux weakening zone– Design objectives
Po
wer
, P
Speed,
Forbiddenzone
Line o maximum permitted transistor current
Given "constant torque" line
Given "constant power" line
No need in fieldweakining
safety angle
FIELD WEAKINING ZONE
corner powerpoint
border weakiningpoint
given maxspeed
![Page 6: 1 Examples Analytical & Theoretical Modeling Field-weakening zone optimization [EV propulsion motor]](https://reader036.dokumen.tips/reader036/viewer/2022062422/56649eb55503460f94bbd66f/html5/thumbnails/6.jpg)
6
Exa
mpl
esAnalytical & Theoretical Modeling
Flux Weakening Zone MathCAD calculations– Power Vs Axle Speed Grafs
» 180 ARMS Transistor
Flux Weakening Zone MathCAD calculations– Power Vs Axle Speed Grafs
» 180 ARMS Transistor
P
1000
nlim1 1414 Udc 180 P 1 1 ig Lc( )
0 100 200 300 400 500 600 700 800 900 1000 1100 1200 1300 14000
8
16
24
32
40
48
56
64
72
80FIG.1.2 POWER-SPEED PHASE-ADVANCE ZONE
Output speed (rpm)
Out
put p
ower
(kW
)
P
1000
nlim1 1414 Udc 180 P ku 1 ig Lc( )
0 100 200 300 400 500 600 700 800 900 1000 1100 1200 1300 14000
8
16
24
32
40
48
56
64
72
80FIG.1.2 POWER-SPEED PHASE-ADVANCE ZONE
Output speed (rpm)
Ou
tpu
t p
ow
er (
kW
)
Push-pull topology approach Classic topology approach
![Page 7: 1 Examples Analytical & Theoretical Modeling Field-weakening zone optimization [EV propulsion motor]](https://reader036.dokumen.tips/reader036/viewer/2022062422/56649eb55503460f94bbd66f/html5/thumbnails/7.jpg)
7
Exa
mpl
esAnalytical & Theoretical Modeling
Flux Weakening Zone MathCAD calculations– Power Vs Axle Speed Grafs (cont.)
» 220 ARMS Transistor
Flux Weakening Zone MathCAD calculations– Power Vs Axle Speed Grafs (cont.)
» 220 ARMS Transistor
Push-pull topology approach Classic topology approach
P
1000
nlim1 1414 Udc 220 P 1 1 ig Lc( )
0 100 200 300 400 500 600 700 800 900 1000 1100 1200 1300 14000
3
6
9
12
15
18
21
24
27
30FIG.1.2 POWER-SPEED PHASE-ADVANCE ZONE
Output speed (rpm)
Out
put p
ower
(kW
)
P
1000
nlim1 1414 Udc 220 P ku 1 ig Lc( )
0 100 200 300 400 500 600 700 800 900 1000 1100 1200 1300 14000
3
6
9
12
15
18
21
24
27
30FIG.1.2 POWER-SPEED PHASE-ADVANCE ZONE
Output speed (rpm)
Ou
tpu
t p
ow
er (
kW
)
![Page 8: 1 Examples Analytical & Theoretical Modeling Field-weakening zone optimization [EV propulsion motor]](https://reader036.dokumen.tips/reader036/viewer/2022062422/56649eb55503460f94bbd66f/html5/thumbnails/8.jpg)
8
Exa
mpl
esAnalytical & Theoretical Modeling
Flux Weakening Zone MathCAD calculations– Torque Vs Axle Speed Grafs
» 180 ARMS Transistor
Flux Weakening Zone MathCAD calculations– Torque Vs Axle Speed Grafs
» 180 ARMS Transistor
Push-pull topology approach Classic topology approach
Mlim 1414 Udc 180 P 1 1 ig Lc0( )
nlim 1414 Udc 180 P 1 1 ig Lc( )
0 100 200 300 400 500 600 700 800 900 1000 1100 1200 1300 14000
150
300
450
600
750
900
1050
1200
1350
1500FIG.1.1 TORQUE-SPEED PHASE-ADVANCE ZONE
Output speed (rpm)
Out
put t
orqu
e (N
m)
Mlim 1414 Udc 180 P ku 1 ig Lc0( )
nlim 1414 Udc 180 P ku 1 ig Lc( )
0 100 200 300 400 500 600 700 800 900 1000 1100 1200 1300 14000
150
300
450
600
750
900
1050
1200
1350
1500FIG.1.1 TORQUE-SPEED PHASE-ADVANCE ZONE
Output speed (rpm)
Out
put t
orqu
e (N
m)
![Page 9: 1 Examples Analytical & Theoretical Modeling Field-weakening zone optimization [EV propulsion motor]](https://reader036.dokumen.tips/reader036/viewer/2022062422/56649eb55503460f94bbd66f/html5/thumbnails/9.jpg)
9
Exa
mpl
esAnalytical & Theoretical Modeling
Flux Weakening Zone MathCAD calculations– Torque Vs Axle Speed Grafs (cont.)
» 220 ARMS Transistor
Flux Weakening Zone MathCAD calculations– Torque Vs Axle Speed Grafs (cont.)
» 220 ARMS Transistor
Push-pull topology approach Classic topology approach
Mlim 1414 Udc 220 P 1 1 ig Lc0( )
nlim 1414 Udc 220 P 1 1 ig Lc( )
0 100 200 300 400 500 600 700 800 900 1000 1100 1200 1300 14000
150
300
450
600
750
900
1050
1200
1350
1500FIG.1.1 TORQUE-SPEED PHASE-ADVANCE ZONE
Output speed (rpm)
Out
put t
orqu
e (N
m)
Mlim 1414 Udc 220 P ku 1 ig Lc0( )
nlim 1414 Udc 220 P ku 1 ig Lc( )
0 100 200 300 400 500 600 700 800 900 1000 1100 1200 1300 14000
150
300
450
600
750
900
1050
1200
1350
1500FIG.1.1 TORQUE-SPEED PHASE-ADVANCE ZONE
Output speed (rpm)
Out
put t
orqu
e (N
m)
![Page 10: 1 Examples Analytical & Theoretical Modeling Field-weakening zone optimization [EV propulsion motor]](https://reader036.dokumen.tips/reader036/viewer/2022062422/56649eb55503460f94bbd66f/html5/thumbnails/10.jpg)
10
Exa
mpl
esAnalytical & Theoretical Modeling
Phase Currents Calculations– 180 ARMS Transistor
Phase Currents Calculations– 180 ARMS Transistor
Push-pull topology approach Classic topology approach
I1 1414 Udc 180 P1 ku 1 ig L( )
I1 1411 Udc 180 P2 ku 1 ig L( )
I1 1411 Udc 180 P3 ku 1 ig L( )
I1 1411 Udc 180 P4 ku 1 ig L( )
I1 1411 Udc 180 P5 ku 1 ig L( )
30
ig
0 100 200 300 400 500 600 700 800 900 1000 1100 1200 1300 14000
20
40
60
80
100
120
140
160
180
200
FIG.1.1 Phase currents for power levels
Output speed (rpm)
Phas
e RM
S cu
rrent
(A)
I1 1414 Udc 180 P1 1 1 ig L( )
I1 1411 Udc 180 P2 1 1 ig L( )
I1 1411 Udc 180 P3 1 1 ig L( )
I1 1411 Udc 180 P4 1 1 ig L( )
I1 1411 Udc 180 P5 1 1 ig L( )
30
ig
0 100 200 300 400 500 600 700 800 900 1000 1100 1200 1300 14000
20
40
60
80
100
120
140
160
180
200
FIG.1.1 Phase currents for power levels
Output speed (rpm)
Phas
e RM
S cu
rrent
(A)
![Page 11: 1 Examples Analytical & Theoretical Modeling Field-weakening zone optimization [EV propulsion motor]](https://reader036.dokumen.tips/reader036/viewer/2022062422/56649eb55503460f94bbd66f/html5/thumbnails/11.jpg)
11
Exa
mpl
esAnalytical & Theoretical Modeling
Phase Currents Calculations– 220 ARMS Transistor
Phase Currents Calculations– 220 ARMS Transistor
Push-pull topology approach Classic topology approach
I1 1414 Udc 220 P1 1 1 ig L( )
I1 1411 Udc 220 P2 1 1 ig L( )
I1 1411 Udc 220 P3 1 1 ig L( )
I1 1411 Udc 220 P4 1 1 ig L( )
I1 1411 Udc 220 P5 1 1 ig L( )
30
ig
0 100 200 300 400 500 600 700 800 900 1000 1100 1200 1300 14000
20
40
60
80
100
120
140
160
180
200
FIG.1.1 Phase currents for power levels
Output speed (rpm)
Phas
e RM
S cu
rrent
(A)
I1 1414 Udc 220 P1 ku 1 ig L( )
I1 1411 Udc 220 P2 ku 1 ig L( )
I1 1411 Udc 220 P3 ku 1 ig L( )
I1 1411 Udc 220 P4 ku 1 ig L( )
I1 1411 Udc 220 P5 ku 1 ig L( )
30
ig
0 100 200 300 400 500 600 700 800 900 1000 1100 1200 1300 14000
20
40
60
80
100
120
140
160
180
200
FIG.1.1 Phase currents for power levels
Output speed (rpm)
Phas
e RM
S cu
rrent
(A)
![Page 12: 1 Examples Analytical & Theoretical Modeling Field-weakening zone optimization [EV propulsion motor]](https://reader036.dokumen.tips/reader036/viewer/2022062422/56649eb55503460f94bbd66f/html5/thumbnails/12.jpg)
12
Exa
mpl
esAnalytical & Theoretical Modeling
Efficiencies Calculations– Versus axle speed @ constant power
» 180 ARMS Transistor
Efficiencies Calculations– Versus axle speed @ constant power
» 180 ARMS Transistor
Push-pull topology approach Classic topology approach
60.8 Udc 180 P1 1 1 2 L( ) 100
60.8 Udc 180 P2 1 1 2 L( ) 100
60.8 Udc 180 P3 1 1 2 L( ) 100
60.8 Udc 180 P4 1 1 2 L( ) 100
60.8 Udc 180 P5 1 1 2 L( ) 100
1350
30
ig
0 100 200 300 400 500 600 700 800 900 1000 1100 1200 1300 140080
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
Fig.1.2 Efficiencies @ power levels
Output speed (rpm)
Eff
icie
ncy
(%
)
60.8 Udc 180 P1 ku 1 1 L( ) 100
60.8 Udc 180 P2 ku 1 1 L( ) 100
60.8 Udc 180 P3 ku 1 1 L( ) 100
60.8 Udc 180 P4 ku 1 1 L( ) 100
60.8 Udc 180 P5 ku 1 1 L( ) 100
1350
30
ig
0 100 200 300 400 500 600 700 800 900 1000 1100 1200 1300 140080
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
Fig.1.2 Efficiencies @ power levels
Output speed (rpm)
Eff
icie
ncy
(%
)
![Page 13: 1 Examples Analytical & Theoretical Modeling Field-weakening zone optimization [EV propulsion motor]](https://reader036.dokumen.tips/reader036/viewer/2022062422/56649eb55503460f94bbd66f/html5/thumbnails/13.jpg)
13
Exa
mpl
esAnalytical & Theoretical Modeling
Efficiencies Calculations– Versus axle speed @ constant power
» 220 ARMS Transistor
Efficiencies Calculations– Versus axle speed @ constant power
» 220 ARMS Transistor
Push-pull topology approach Classic topology approach
60.8 Udc 220 P1 ku 1 1 L( ) 100
60.8 Udc 220 P2 ku 1 1 L( ) 100
60.8 Udc 220 P3 ku 1 1 L( ) 100
60.8 Udc 220 P4 ku 1 1 L( ) 100
60.8 Udc 220 P5 ku 1 1 L( ) 100
1350
30
ig
0 100 200 300 400 500 600 700 800 900 1000 1100 1200 1300 140080
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
Fig.1.2 Efficiencies @ power levels
Output speed (rpm)
Eff
icie
ncy
(%
)
60.8 Udc 220 P1 1 1 2 L( ) 100
60.8 Udc 220 P2 1 1 2 L( ) 100
60.8 Udc 220 P3 1 1 2 L( ) 100
60.8 Udc 220 P4 1 1 2 L( ) 100
60.8 Udc 220 P5 1 1 2 L( ) 100
1350
30
ig
0 100 200 300 400 500 600 700 800 900 1000 1100 1200 1300 140080
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
Fig.1.2 Efficiencies @ power levels
Output speed (rpm)
Eff
icie
ncy
(%
)
![Page 14: 1 Examples Analytical & Theoretical Modeling Field-weakening zone optimization [EV propulsion motor]](https://reader036.dokumen.tips/reader036/viewer/2022062422/56649eb55503460f94bbd66f/html5/thumbnails/14.jpg)
14
Exa
mpl
esAnalytical & Theoretical Modeling
Efficiency Map Calculations– Vs axle speed & power @ 180 ARMS Transistor
Efficiency Map Calculations– Vs axle speed & power @ 180 ARMS Transistor
Push-pull topology approach
Classic topology approach
![Page 15: 1 Examples Analytical & Theoretical Modeling Field-weakening zone optimization [EV propulsion motor]](https://reader036.dokumen.tips/reader036/viewer/2022062422/56649eb55503460f94bbd66f/html5/thumbnails/15.jpg)
15
Exa
mpl
esAnalytical & Theoretical Modeling
Efficiency Map– Vs axle speed & power @ 200 ARMS Transistor
Efficiency Map– Vs axle speed & power @ 200 ARMS Transistor
Classic topology approach
![Page 16: 1 Examples Analytical & Theoretical Modeling Field-weakening zone optimization [EV propulsion motor]](https://reader036.dokumen.tips/reader036/viewer/2022062422/56649eb55503460f94bbd66f/html5/thumbnails/16.jpg)
16
Exa
mpl
esAnalytical & Theoretical Modeling
Efficiency Map– Vs axle speed & power @ 220 ARMS Transistor
Efficiency Map– Vs axle speed & power @ 220 ARMS Transistor
Classic topology approach
