中国电机工程学报
中國電機工程學報
중국전궤공정학보
Proceedings of the CSEE
2015年
20期
5327-5334,后插21
,共9页
变磁阻电机%超精密微动台%三维漏磁系数%等效磁路%硅片台
變磁阻電機%超精密微動檯%三維漏磁繫數%等效磁路%硅片檯
변자조전궤%초정밀미동태%삼유루자계수%등효자로%규편태
variable reluctance actuator (VRA)%ultra- precision microstage%three-dimensional leakage coefficient%magnetic circuit model%wafer stage
文中对超精密微动台变磁阻电机的磁场和推力进行了准确的建模,用于电机的实时控制.分别建立了永磁体和线圈产生的两种磁场单独作用并考虑漏磁的等效磁路模型,同时在动铁心处于不同位置时,通过三维有限元仿真得到每个气隙的漏磁系数来准确的反映漏磁在不同气隙处的三维分布.首先仿真得到动铁心位于 x 正向特定位置时的漏磁系数,对漏磁系数进行拟合,从而在动铁心位于x正向任意位置时对电机磁场进行建模.然后根据动铁心位于x正向和负向时具有的对称性,得到电机在全行程的磁场模型.最后根据电机的磁场模型和麦克斯韦力公式得到全行程的推力模型.推力模型和有限元仿真结果误差小于 6.4%,并通过实验进行了验证.
文中對超精密微動檯變磁阻電機的磁場和推力進行瞭準確的建模,用于電機的實時控製.分彆建立瞭永磁體和線圈產生的兩種磁場單獨作用併攷慮漏磁的等效磁路模型,同時在動鐵心處于不同位置時,通過三維有限元倣真得到每箇氣隙的漏磁繫數來準確的反映漏磁在不同氣隙處的三維分佈.首先倣真得到動鐵心位于 x 正嚮特定位置時的漏磁繫數,對漏磁繫數進行擬閤,從而在動鐵心位于x正嚮任意位置時對電機磁場進行建模.然後根據動鐵心位于x正嚮和負嚮時具有的對稱性,得到電機在全行程的磁場模型.最後根據電機的磁場模型和麥剋斯韋力公式得到全行程的推力模型.推力模型和有限元倣真結果誤差小于 6.4%,併通過實驗進行瞭驗證.
문중대초정밀미동태변자조전궤적자장화추력진행료준학적건모,용우전궤적실시공제.분별건립료영자체화선권산생적량충자장단독작용병고필루자적등효자로모형,동시재동철심처우불동위치시,통과삼유유한원방진득도매개기극적루자계수래준학적반영루자재불동기극처적삼유분포.수선방진득도동철심위우 x 정향특정위치시적루자계수,대루자계수진행의합,종이재동철심위우x정향임의위치시대전궤자장진행건모.연후근거동철심위우x정향화부향시구유적대칭성,득도전궤재전행정적자장모형.최후근거전궤적자장모형화맥극사위력공식득도전행정적추력모형.추력모형화유한원방진결과오차소우 6.4%,병통과실험진행료험증.
This paper presented the models of the magnetic field and thrust of the variable reluctance actuator (VRA) in ultra-precision microstage for real-time control of the VRA. Magnetic circuit models of the magnetic field produced by the permanent magnet and the magnetic field produced by the coils were respectively built. Leakage magnetic fields were taken into consideration when the magnetic circuit models were built. Simultaneously, when the movers were at different positions, three-dimensional leakage coefficients obtained from finite element method (FEM) simulations showed the values and distributions of the leakage magnetic fields in every gap. Firstly, the model of the magnetic field of the VRA was derived when the mover was at several positions of the positive part of the x axis. Then, utilizing fitting, the model of the magnetic field at every position of the positive part of the x axis was derived. Utilizing symmetry, the models of the magnetic field on the whole stroke was derived. Finally, according to the model of the magnetic field and Maxwell formula, the model of the thrust of the VRA on the whole stroke was derived. The error between the model and the FEM simulations result is less than 6.4%, and the models are proved by an experiment.