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Direct synthesis of equivalent circuits from reduced FE models using proper orthogonal decomposition

机译:使用适当的正交分解从简化的有限元模型直接合成等效电路

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摘要

Purpose - The purpose of this paper is to propose a fast synthesis method of the equivalent circuits of electromagnetic devices using model order reduction. Finite element method (FEM) has been widely used to design electromagnetic devices. For FE analysis of these devices connected to control and deriving circuits, FE equations coupled with the circuit equations have to be solved for many times in their design processes. If the FE models are replaced by equivalent circuit models, computational time could be drastically reduced. Design/methodology/approach - In the proposed method, a reduced FE model is obtained using proper orthogonal decomposition (POD) in which the size of FE equation is effectively reduced so that the computational time for FE analysis is shortened. Then, the equivalent circuits are directly synthesized from the admittance function of the reduced system. Findings - Accuracy and computational efficiency of the proposed method are compared with those of another POD-based method in which the equivalent circuits are synthesized from fitting of frequency characteristics using optimization algorithm. There are no significant differences in the accuracy of both methods, while the speedup ratio of the former method is found larger than that for the latter method for the same sampling points. Originality/value - The equivalent circuits of electric machines and devices have been synthesized on the basis of physical insight of engineers. This paper proposes a novel method by which the equivalent circuits are automatically synthesized from FE model of the electric machines and devices using POD.
机译:目的-本文的目的是提出一种使用模型阶数约简的电磁设备等效电路的快速合成方法。有限元方法(FEM)已被广泛用于设计电磁设备。为了对这些连接到控制和衍生电路的设备进行有限元分析,必须在设计过程中多次求解与电路方程耦合的有限元方程。如果用等效电路模型代替有限元模型,则可以大大减少计算时间。设计/方法/方法-在提出的方法中,使用适当的正交分解(POD)获得了简化的有限元模型,其中有效地减小了有限元方程的大小,从而缩短了有限元分析的计算时间。然后,根据简化系统的导纳函数直接合成等效电路。发现-将本方法的准确性和计算效率与另一种基于POD的方法进行了比较,在后者中,使用优化算法通过拟合频率特性来合成等效电路。两种方法的精度没有显着差异,但对于相同的采样点,发现前一种方法的加速比要大于后一种方法。原创性/价值-电机和设备的等效电路是在工程师的物理洞察力的基础上合成的。本文提出了一种新的方法,通过该方法,可以使用POD从电机和设备的FE模型自动合成等效电路。

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