基于磁势矢模型的电磁直线驱动装置解析建模

针对目前有限元法求解电磁直线驱动装置稳态电磁特性时运算周期长、计算效率较低的问题，提出研究此类驱动装置的解析建模方法。以直驱式自动变速器用动圈式电磁直线驱动装置为例，建立了驱动装置磁场泊松方程，引入磁势矢模型推导了磁场分布方程，并结合边界条件得到了径向气隙磁通密度及电磁力表达式，以此获悉驱动装置稳态电磁特性。结果表明，解析模型与有限元模型的求解误差最小为0.6%，最大为6.6%，与试验误差不超过2.5%，有限元及试验均验证了模型的正确性与精确性。所提方法在确保求解精度的前提下求解过程简单且通用性好，为实现电磁直线驱动装置的模块化设计和无位移传感器控制提供了理论参考，对丰富和发展全电集成动力系统控制方法有一定的理论意义和工程应用价值。

Analytical modeling of electromagnetic linear drive device based on magnetic potential vector model

Aiming at the problems of long operation cycle and low computational efficiency in solving steady-state electromagnetic characteristics of electromagnetic linear drive by finite element method,an analytical modeling method was proposed to study this kind of drive.The Poisson equation of magnetic field was established by introducing magnetic potential vector model,and the magnetic field distribution equation was derived.The expressions of radial air-gap flux density and electromagnetic force were obtained by combining boundary conditions,so as to obtain the steady-state electromagnetic characteristics of the drive device.The results show that the minimum solving error between the analytical model and the finite element model is 0.6%,the maximum error is 6.6%,and the error of the experimental model is less than 2.5%.The finite element and experimental results verify the correctness and accuracy of the model.This method has a simple solution process and good universality on the premise of ensuring the solution accuracy,which lays a theoretical foundation for the modular design of electromagnetic linear drive device and the control without displacement sensor,and has a certain theoretical significance and engineering application value to enrich and develop the control method of all-electric integrated power system.