Nonlinear design optimization of electric machines by using parametric Fourier coefficients of air gap flux density
Nonlinear design optimization of electric machines by using parametric Fourier coefficients of air gap flux density
复制标题
使用气隙磁通密度的参数傅立叶系数优化电机的非线性设计
DOI：
10.1109/aim.2016.7576841
复制
发表时间：
2016
期刊：
影响因子：
--
通讯作者：
R. Kasper
中科院分区：
文献类型：
--
作者：
N. Borchardt;R. Kasper
重量和效率是电机各种移动应用的最高要求。利用一种新型电机设计的设计自由度，在提供高扭矩和高效冷却的同时，基于无槽气隙绕组，提出了一种允许精确和快速设计该类型电机的设计优化方法。设计速度是通过建立简化的电机参数模型来实现的，该模型与设计问题的非线性优化公式很好地结合在一起，其中平衡了电机的质量和损耗，以找到帕累托最优设计集。附加的设计要求通过约束来处理。采用有限元方法对电机气隙内的磁通密度进行了数值分析，建立了基于参数傅立叶级数的电机模型。该模型基于参数傅里叶级数，可用于确定电机的转矩常数。除了数值优化过程外，所有的模型和设计方程都可以利用Maple的符号计算功能进行解析表示，从而简化了分析并加快了设计速度。最后，对一种15英寸轮毂传动的电机进行了优化设计研究。图中显示了在额定转速下提供所需扭矩时，对重量和效率的要求之间的权衡范围。
Weight and efficiency are conflicting top requirements for all kind of mobile applications of electrical machines. Utilizing the design freedom of a novel machine design, based on a slotless air gap winding while providing high torque and efficient cooling, this paper presents a design optimization approach that allows for precise and fast design of that type of machine. Design speed is achieved by building a simplified parametric model of the electrical machine that combines very well with a nonlinear optimization formulation of the design problem, where machine mass and losses are balanced out to find a Pareto optimal design set. Additional design requirements are treated via constraints. The parametric machine model was built upon a numerical finite elements method analysis of magnetic flux density in the air gap with ANSYS Maxwell, which is used to formulate parametric Fourier series based models of flux acting on a phase, flux acting on a six-step commutated winding and effective flux useful to define machine torque constant. Except the numerical optimization procedure, all model and design equations can be formulated analytically exploiting Maple's symbolic computation features, thus simplifying analysis and speeding up design. Finally, an optimal motor design study for a 15-inch rim wheel-hub drive is presented. The range of a tradeoff between demands for weight and efficiency while delivering the required torque at nominal speed is shown.