Fast analysis method of time-periodic nonlinear fields
Fast analysis method of time-periodic nonlinear fields
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时间周期非线性场的快速分析方法
DOI：
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发表时间：
2011
期刊：
影响因子：
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通讯作者：
K. Miyata
中科院分区：
文献类型：
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作者：
K. Miyata
提出了一种在极慢衰减场存在下获得时间周期非线性场的快速分析方法。首先，对分析变量进行时均处理以减小谐波分量的影响，然后利用时均值的二阶时间导数将分析变量修正为时间周期稳态场。时间平均操作的时间宽度可以设置得比半个周期短得多，从而可以在时间演化的早期阶段对变量进行校正。将该方法作为一个简单的双变量联立方程问题进行了验证，并将其作为一个多变量问题进行了有限元磁场仿真。此外，在校正物镜中包含高阶时间谐波的情况下，提出了谐波TDC和（谐波）TDC和TP-EEC的串联使用。此外，将传统的简化三相交流TP-EEC方法扩展为适用于三相交流系统的通用形式。暂态分析中的分步解在TP-EEC（时间周期显式误差校正）方法（6,7）中被修正为每半个周期一个稳态半周期解，而在Tokumasu通常提出的多相AC TP-EEC方法（8,9）中被修正为每六分之一周期一个稳态半周期解。TP-EEC和三相交流TP-EEC方法是非常强大的技术，可以在几个校正中确保周期性解决方案。换句话说，然而，TP-EEC和三相交流TP-EEC方法分别需要一半和六分之一的计算周期进行一次校正。本文提出了一种新的校正方法TDC (Time Differential correction)，它只需要短于半个周期的瞬态计算，不需要或只需要少量的高时谐波。此外，本文还将简化的三相交流TP-EEC扩展为一般形式。
A fast analysis method is proposed to obtain time-periodic nonlinear fields in the presence of extremely slow decay fields. First, the analysis variables are time-averaged to reduce effects of the harmonic wave components, and next, second order time-derivatives of the time- averaged values are used to correct the variables toward the time-periodic steady-state field. The time width in time-averaging operation can be set much shorter than one half period, and so the variables can be corrected in early stage of time evolution. The presented method was validated in two-variable simultaneous equations as a simple problem and a magnetic field simulation by the finite element method as a multivariable problem. Furthermore, harmonic TDC and a serial usage of (harmonic) TDC and TP-EEC are proposed for the case that higher order time-harmonic waves are included in the corrected objectives. In addition, the conventional simplified three-phase AC TP-EEC method is expanded to a general form for the three-phase AC system. A step-by-step solution in the transient analysis is cor- rected toward a steady-state one-half periodic solution ev- ery one half period in TP-EEC (Time periodic explicit error correction) method (6, 7), while every one sixth of period in three-phase AC TP-EEC method (8, 9) which is gen- erally proposed by Tokumasu as the polyphase AC TP- EEC method. The TP-EEC and three-phase AC TP-EEC methods are very powerful techniques to secure periodic solutions in several corrections. In other words, however, the TP-EEC and three-phase AC TP-EEC methods re- quire one half and one sixth period of calculations for one correction, respectively. In this paper, a new correction method named as TDC (Time Differential Correction) is presented with requiring only transient calculation much shorter than one half period with no or a little of higher time-harmonic waves. Furthermore, the simplified three- phase AC TP-EEC is expanded to a general form in this paper.
隐式修正多重网格法的概念
DOI：
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发表时间：
2007
期刊：
影响因子：
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作者：
岩下武史;美舩健;島崎眞昭;高橋康人;石田智之;廣谷迪;増子拓也;美舩健;高橋康人;高橋康人;岩下武史;岩下武史;高橋康人;高橋康人;守口聡一;荒井宗範;岩下武史;美舩健;荒井宗範;Takeshi Iwashita;美舩健;Takeshi Iwashita
通讯作者：
Takeshi Iwashita