Optimization Design of a Fluxswitching. Ruiwu Cao University of Michigan-Dearborn

Transkript

1 Optimization Design of a Fluxswitching PM machine for HEV 1 ANSYS, Inc. September 21, Ruiwu Cao ruiwucao@gmail.com University of Michigan-Dearborn

2 Content Structure and Operation Principle of Flux-switching permanent magnet motor. Parameters model of the Flux-switching motor based on ANSYS /Maxwell 2D. Optimization step and performance. 2 ANSYS, Inc. September 21,

3 1. Structure and Operation Principle PM Stator Rotor Armature winding Fig.1 Cross-section of Flux-switching PM motor 3 ANSYS, Inc. September 21,

4 Merits : Simple rotor, only consist of iron, which is suitable for high speed operation. Concentrated armature winding, low copper loss. Higher power density. Favorable for cooling due to the location of magnets in the stator. 4 ANSYS, Inc. September 21,

5 PM Stator Rotor Armature winding (a) Fig.2 Operation Principle (b) 5 ANSYS, Inc. September 21,

6 Flux-linkage Back-EMF Applied current Fig.3 Operation Principle 6 ANSYS, Inc. September 21,

7 2. Parameters model based on Maxwell 2D kio=0.6 R2=269/2 mm (stator outer radius) R_sin=R2*kio s5 s6 s9 s3 s R_sin s1 s2 5 R2 s7 s8 theta_pm=7.5/2 deg (angle1 in figure) theta_st=15*3/4 deg (angle 2 in figure) theta_slot=15 deg (angle 3 in figure) Fig.4 Sotor and PM 7 ANSYS, Inc. September 21,

8 Coordinate of point s1~s9 s1 :(R_sin, 0, 0) s2 :(R_sin*cos(theta_pm), R_sin*sin(theta_pm), 0) s3 :(R_sin*cos(theta_st*pi/180deg), R_sin*sin(theta_st*pi/180deg), 0) hsy= R_sin(sin(theta_st*pi/180deg)-sin(theta_pm*pi/180deg)) Rsy=R2- hsy theta_sy=(180/pi)*asin[r_sin*sin(theta_st*pi/180deg)/rsy] () s4: (Rsy *cos(theta_sy*pi/180deg), Rsy *sin(theta_sy*pi/180deg), 0) s5: (Rsy *cos(theta_slot*pi/180deg), Rsy *sin(theta_slot*pi/180deg), 0) s6: (R2 *cos(theta_slot*pi/180deg), R2 *sin(theta_slot*pi/180deg), 0) theta_ypm=(180/pi)*asin(r_sin*sin(theta_pm*pi/180deg)/r2) s7 :(R2 *cos(theta_ypm*pi/180deg), R2 *sin(theta_ypm*pi/180deg), 0) s8 :(R2, 0, 0) s9: (R_sin *cos(theta_slot*pi/180deg), R_sin *sin(theta_slot*pi/180deg), 0) 8 ANSYS, Inc. September 21,

9 o R1 theta_2 x2 h_t theta_1 Rr0 Rry x1 K1=2.7, k2=1.4, theta_1=7.5*k1*0.5deg theta_2=7.5*k2*0.5deg R1=30mm (rotor inner radius) gap=0.73mm (air-gap) R_ro=R_sin-gap h_t= mm R_ry= R_ro- h_t x4 x3 Fig.5 Rotor 9 ANSYS, Inc. September 21,

10 Fig.6 slot s5 s6 s9 s3 4 s4 3 s2 2 1 R_sin s1 5 R2 10 ANSYS, Inc. September 21,

11 line slot_34: point1: R_sin*cos(theta_st*pi/180deg)+1mm,R_sin*sin(theta_st*pi/180deg)+1mm,0mm point2: Rsy *cos(theta_sy*pi/180deg)-1mm,rsy *sin(theta_sy*pi/180deg)+1mm,0mm line slot_93: point1: R_sin*cos(theta_st*pi/180deg)+1mm,R_sin*sin(theta_st*pi/180deg)+1mm,0mm point2: R_sin *cos(theta_slot*pi/180deg)+1mm,r_sin *sin(theta_slot*pi/180deg)-1mm,0mm line slot_59: point1: R_sin *cos(theta_slot*pi/180deg)+1mm,r_sin *sin(theta_slot*pi/180deg)-1mm,0mm point2: (Rsy-1mm)*cos((theta_sy*0.3+theta_slot*0.8)*pi/180deg),(Rsy-1mm)*sin((theta_sy*0.3+theta_ slot*0.8)*pi/180deg),0mm line slot_45: point1: Rsy *cos(theta_sy*pi/180deg)-1mm,rsy *sin(theta_sy*pi/180deg)+1mm,0mm point2: (Rsy-1mm)*cos((theta_sy*0.3+theta_slot*0.8)*pi/180deg),(Rsy-1mm)*sin((theta_sy*0.3+theta_ slot*0.8)*pi/180deg),0mm 11 ANSYS, Inc. September 21,

12 Kio= ANSYS, Inc. September 21,

13 Kio= ANSYS, Inc. September 21,

14 Kio= ANSYS, Inc. September 21,

15 Kio= ANSYS, Inc. September 21,

16 Kio= ANSYS, Inc. September 21,

17 3. Optimization step β rt β pm β st w sy β ry β ss R ro R rin R so R sin Fig.7 optimization structure. 17 ANSYS, Inc. September 21,

18 k st β = st βss Output torque (N.m) T_avg T_ripple Cogging_ripple Torque ripple (N.m) k st Fig. 8. Output torque and torque ripple at diferent k st 18 ANSYS, Inc. September 21,

19 380 Output torque (N.m) Fig. 9. Output torque and torque ripple at diferent k st k io 19 ANSYS, Inc. September 21,

20 Output torque (N.m) T_avg T_ripple k st Torque ripple (N.m) Fig. 10. Output torque and torque ripple at diferent k st 20 ANSYS, Inc. September 21,

21 EMF (V) Time (ms) Fig. 11. Back-EMF(1200rpm) 21 ANSYS, Inc. September 21,

22 PM_ L PM_ L PM_ L PM_ L (a) (b) Fig. 12. Two method to reduce PM 22 ANSYS, Inc. September 21,

23 Torque (Nm) T_avg_in T_avg_o k Lpm Fig. 11. Output torque at different PM length 23 ANSYS, Inc. September 21,

24 Ncps Ncoil Np k apw = s slot The slot area per wire k apw is defined as: k apw = Ncps Ncoil Np s slot Table I. The k io at different coil number N_coil k io k apw ANSYS, Inc. September 21,

25 1.0 Kpm_w Region A kpm_l Fig. 12. Back-EMF at different PM dimensions(n_coil=18) 25 ANSYS, Inc. September 21,

26 kpm_l kpm_w Table II. The back-emf value at different PM dimensions 26 ANSYS, Inc. September 21,

27 kpm_l=0.31 kpm_w= Torque (N.m) 170 Torque (N.m) kpm_l kpm_w kpm_l kpm_l=0.31 kpm_w= kpm_w 27 ANSYS, Inc. September 21, (a) Torque Fig.13 The output torque and to ripple at different PM dimensions (b) Torque ripple

28 Table III. The Torque performance at different coil number N_coil k io kapw kpm_l kpm_w EMF (V) T_avg (N) T_ripple ANSYS, Inc. September 21,

29 Torque (N m) T_avg T_cogging T_ripple Torque ripple (N m) k st 0 29 ANSYS, Inc. September 21, Fig.14 The output torque and to ripple at different PM dimensions(n_coil=9)

30 Torque (Nm) T_250A T_150A T_50A ψ (deg) Fig.14 The output torque versus inner power angle 30 ANSYS, Inc. September 21,

31 Thanks! 31 ANSYS, Inc. September 21,