1 2 Z θ. 1 T z = 3 mm (b) 轴向气隙磁密 2 Fig. 2 Air gap flux density when rotor aligns with stator with trapezoidal P

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1 1 212 ELECTRI C MACHINES AND CONTROL Vol. 1 No. May TM 31 A 1-9X Influence of structure of taper permanent magnet motor on performance parameters LIU Wei-liang CHAI Feng PEI Yu-long CHENG Shu-kang CHEN Qing-quan School of Electrical Engineering and Automation Harbin Institute of Technology Harbin 11 China Abstract Taper permanent magnet motor has a structure different from universal permanent magnet motor. Analysis and calculation of taper permanent magnet motor is special and the reduced form method would lead to some inaccurate understanding. In this paper the 3D finite element method was adopted to analyze the magnetic field of the taper permanent magnet motor under different structure parameters and the results indicated that the distribution of magnetic field along axial direction in taper permanent magnet motor is fairly uniform and the air gap field will decrease linearly when the axial displacement of rotor increases. Then the influence of structure parameters such as taper angle axial displacement of rotor shape of permanent magnet on d-axis and q-axis inductances as well as torque was studied. It shows that the d-axis and q-axis inductances have different variation trends with axial displacement of rotor under different permanent magnet shapes and taper angle affects the variation magnitude of the d-axis and q- axis inductances. Torque will decrease when the axial displacement of rotor increases. The validity of calculation and analysis is verified by experiment results of prototype. Key words taper permanent magnet motor 3D finite element method taper angle inductances torque HIT. ICRST HIT. NSRIF

2 1 2 Z θ. 1 T z = 3 mm (b) 轴向气隙磁密 2 Fig. 2 Air gap flux density when rotor aligns with stator with trapezoidal PM (a) 径向气隙磁密 Fig z = 3 mm Radial flux density at z = 3 mm 31 z = 1. 2 T z = 3 mm 1 1 T Fig. 1 Sketch of conical PM rotor iron 2 3

3 T L q = ψ q /i q ψ pm z = α =. 9 T z = 3 mm. T Fig. Air gap flux density of pole center with different axial displacement of rotor i d%/a (a) 直轴电感 空载反电势 /V 空载反电势 /V t/s (a) 定转子对齐时的空载反电势 2 i d > 2. 1 i d = - A L d = ψ d - ψ pm /i d i d = A Fig. 啄 =.3mm 啄 =.mm i d%/a (b) 交轴电感 啄 =.mm 啄 =.8mm 啄 =.mm 啄 =.9mm 啄 =.mm 啄 =1mm α = The d-axis and q-axis inductances with different air-gap length at α = α (b) 转子在不同轴向位置时的空载反电势 Fig. No-load EMF of PM motor with conical rotor α

4 3. 1 mh α > i d = A α = z > 2 mm z = 3 mm α > 8 z > 1. mm (a) 直轴电感 (i d=a) z > 2. mm (b) 直轴电感 (i d=a) (a) 直轴电感 (i d=a) (c) 交轴电感 (i q=a) 琢 = 琢 =1 琢 =2 琢 =3 琢 = 琢 = 琢 =. 琢 = (b) 直轴电感 (i d=a) 8.. Fig The d-axis and q-axis inductances at different taper angle with trapezoidal PM (c) 交轴电感 (i q=a) 琢 = 琢 = 8 Fig. 8 The d-axis and q-axis inductances at different taper angle with parallelogram PM 琢 = 琢 =1 琢 =2 琢 =. 琢 =3 琢 =

5 1-9 z=mm z=2mm z=3mm i q = A Fig. 1 Torque with trapezoidal PM i q = A Fig i d%/a (a)l d i q%/a (b)l q Inductances when rotor aligns with stator 3 12 i = A Fig. 12 Torque with trapezoidal PM i = A 1 11 i q = A 11 1 α = 2 z = 3 mm. 2 N m 转矩 /(N m) 转矩 /(N m) 11 Fig z=1mm z=mm z=1mm z=2mm z=3mm 琢 /( ) 琢 /( ) i q = A Torque with trapezoidal PM i q = A 12 转矩 /(N m)

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