Mathematical Modelling of Shear Cutting Process of Grain Oriented Electrical Steels Using Regression Modelling

Nihat Çelik, A. Toktaş
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Abstract

This article proposes a regression model for the shear-cutting process of grain-oriented electrical steel magnetic cores of transformers made from different gages and magnetic properties of steels. In the experimental runs, 3 levels for thickness (230, 270, and 300 µm) and 4 levels for magnetic features of electrical steels are considered. Core steels are supplied as foils and slit to designed lengths in slitting machinery along the rolling direction of coils. The best magnetic features rely on the rolling direction of the coil and the transverse direction of the coil is subject to the shear-cutting process. The result of cutting operations, discontinuities, and degradations in magnetic properties may occur because of deterioration in crystallography and strain gradation on laminated sheets. Shear-cutting process factors have a strong influence on magnetic degradation even the magnitude of the no-load loss of the transformer core. In this study, the mathematical relation between shear cutting factors sheet thickness ST, counts of hits CH, and the response burr length BL is determined using regression modeling. For this purpose, the process parameters of GEORG TBA 400 cut-to-length machinery in use core production is studied. The calculated coefficient of determination is close to almost 1.00 i.e., R2 = 0.9896 which means the factors are sufficient to model the response, and the model is obtained with a good prediction performance. The aim of the present study is building up a useful process control tool for the machinery and raise a discussion alike process in industry.
基于回归模型的晶粒取向电工钢剪切切削过程数学建模
本文提出了不同规格和不同钢的磁性能对变压器晶粒取向电磁铁磁芯剪切切削过程的回归模型。在实验运行中,考虑了电工钢的3个厚度级别(230,270和300µm)和4个磁性特征级别。在分切机中,芯钢作为箔片供应,并沿卷板的轧制方向切成设计长度。最佳的磁性特性依赖于线圈的滚动方向,而线圈的横向受剪切剪切过程的影响。由于层压片的晶体学和应变梯度的恶化,切割操作的结果、不连续和磁性能的退化可能会发生。剪切过程因素对变压器铁心的磁退化甚至空载损耗的大小都有很强的影响。在本研究中,采用回归模型确定了剪切剪切因素板材厚度ST、命中次数CH和响应毛刺长度BL之间的数学关系。为此,对GEORG tba400型切长机在用芯生产中的工艺参数进行了研究。计算出的决定系数接近于1.00,即R2 = 0.9896,说明这些因素足以对响应进行建模,得到的模型具有较好的预测性能。本研究的目的是建立一个有用的机械过程控制工具,并在工业上提出类似过程的讨论。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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