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标题：无轴承永磁同步电机磁链耦合分析及数学建模 |
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作者：宋昆，秦英 |
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| 2016年第7期 访问次数：209次 |
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摘要：对无轴承永磁同步电机气隙内转矩绕组磁场与悬浮力绕组磁场之间耦合状态的分析，是建立其精确数学模型的基础。本文通过应用机械/电气坐标系变换方法详细分析了不同极对数下转矩绕组与悬浮力绕组之间的磁链交链情况，并证明了当转矩绕组极对数PM=1，悬浮力绕组极对数pB=2(或pM=2，pB=1)时转矩绕组磁链ψM与悬浮力绕组磁链ψB之间相互耦合。当转矩绕组与悬浮力绕组极对数分别为pM=2，pB=3时，转矩绕组磁链ψM与悬浮力绕组磁链ψB之间没有相互交链，该证明方法概念清晰、简单直观、便于理解。同时基于该证明结论建立了当转矩绕组极对数pM=2、悬浮力绕组极对数pB=3时无轴承永磁同步电机的数学模型。该数学模型为无轴承永磁同步电机控制系统的设计、仿真实验的研究提供了理论基础，仿真结果表明本文提出的数学模型具有较高的可行性。
关键词：无轴承永磁同步电机；磁链分析；数学建模；仿真研究
Abstract: The analysis of the flux linkage intersection between the two sets of windings(namely torque windings and suspension force windings) is the foundation of setting up the precise mathematical model of the bearingless permanent magnetic synchronous motor(BPMSM). This paper refered to a detailed analysis of the flux linkage intersection between torque windings and suspension force windings, by applying mechanical/electrical transformation method. And proved that when the polepairs of torque windings and suspension force windings are pM=1, pB=2, respectively(or pB=1, pM=2) , magnetic chain of the torque winding and suspension force winding are mutual coupling. While the polepairs of torque windings and suspension force windings pM=2 and pB=3, the phenomenon of the flux linkage intersection between torque windings and suspension force windings will not exit. This method of proof is simple, intuitive and easy to understand with a clear concept. What's more , mathematical model of BPMSM was setted up based on the conclusion proved above, under the situation that the polepairs of torque windings and suspension force windings are pM=2 and pB=3. The mathematical model of BPMSM provided a theoretical basis for the design of motor control system and the study of simulation. At last, the simulation results were given to show that the model was feasible.
Key words: BPMSM; magnetic chain analysis; mathematical modeling; simulation study
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