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Coil Winding Losses: Decomposition Strategy

机译:线圈绕组损耗:分解策略

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摘要

Precise modeling of the magnetic field in the coil wire of an electric machine often becomes a major challenge: with the high number of turns and small penetration depth, the number of degrees of freedom exceeds reasonable limits in any standard approximation method. Precise approximation, however, is critical, e.g., to reliable coil loss estimation. Hence, there is a call for specialized approximative methods. This paper presents a method for time-harmonic coil wire field computations in 2-D problems. We replace the coil by a lattice of polygonal plane fillers and span a low-dimensional function space on the polygon boundaries. The reliability of loss estimates requires accurate computations of the responses to the interface excitations of this space. The responses constitute a Dirichlet-to-Neumann map to efficiently couple plane fillers together and to a standard finite-element method (FEM) outside the coil regions. The outcome is significantly faster than the standard FEM alone. The results are still in good agreement.
机译:电机线圈线中磁场的精确建模通常成为一个主要挑战:匝数高且穿透深度小,自由度数在任何标准近似方法中都超出了合理范围。然而,例如对于可靠的线圈损耗估计而言,精确近似是至关重要的。因此,需要专门的近似方法。本文提出了一种在二维问题中进行时谐线圈线场计算的方法。我们用多边形平面填充物的网格替换线圈,并在多边形边界上跨越一个低维函数空间。损耗估计的可靠性要求对该空间的界面激励的响应进行精确计算。这些响应构成了一个Dirichlet-Neumann映射,以有效地将平面填充物耦合在一起,并耦合到线圈区域外部的标准有限元方法(FEM)。结果明显快于单独的标准FEM。结果仍然很一致。

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