﻿ 二次规划算法在铝板带粗轧机厚度分配中的应用 The Application of Algorithm of Quadratic Programming in the Rolling Schedule of Aluminum Strip Rough Mill

Metallurgical Engineering
Vol.02 No.04(2015), Article ID:16563,6 pages
10.12677/MEng.2015.24026

The Application of Algorithm of Quadratic Programming in the Rolling Schedule of Aluminum Strip Rough Mill

Peichao Wei1, Ling Zhao2

1Hongxing Co., Ltd, Jiuquan Iron & Steel Group, Jiayuguan Gnsu

2College of Information Science and Engineering, Northeastern University, Shenyang Liaoning

Received: Nov. 30th, 2015; accepted: Dec. 19th, 2015; published: Dec. 22nd, 2015

Copyright © 2015 by authors and Hans Publishers Inc.

ABSTRACT

A quadratic programming optimization method about the rolling schedule of aluminum strip rough mill based on MATLAB optimal toolbox is proposed, in order to meet the company’s raising requirements about the aluminum strip products’ accuracy. According to the data collected from field, the simulation and study of the rolling schedule of different-grade aluminum strip are developed. Compared with the field data, the method developed in this paper is superior to the actual rolling schedule and it’s proved to be a more useful online approach.

Keywords:Quadratic Programming, Aluminum Strip Rough Mill, Rolling Schedule, MATLAB

1酒钢集团宏兴股份公司炼铁厂，甘肃 嘉峪关

2东北大学信息科学与工程学院，辽宁 沈阳

1. 引言

2. 厚度分配模型的建立

2.1. 目标函数的建立

2.2. 约束条件的设定

——第i道次轧制力的变化量；——第i道次轧制力的灵敏度——第i道次最大轧制力的限制值——第i道次实际轧制力

Figure 1. The schematic of nip angle parameter settings

——粗轧机机架的工作辊表面半径。

3. 优化求解方法

3.1. 基本原理

3.2. 程序实现步骤

4. 实例仿真分析

Figure 2. The rolling schedule of 3104 grade aluminum strip

Figure 3. The rolling schedule of 5052 grade aluminum strip

Figure 4. The rolling schedule of 8079 grade aluminum strip

The Application of Algorithm of Quadratic Programming in the Rolling Schedule of Aluminum Strip Rough Mill[J]. 冶金工程, 2015, 02(04): 186-191. http://dx.doi.org/10.12677/MEng.2015.24026

1. 1. 刘荣峰, 王仁忠, 彭鹏, 蒋虬. 不可逆轧机冷轧铝板带厚度分配方法研究[J]. 轻合金加工技术, 2010, 38(4): 17-18+57.

2. 2. 魏云华. 现代铝热连轧机组主体设备的配置和控制特点[J]. 有色金属加工, 2004, 33(2): 5-9.

3. 3. 马昌凤. 最优化方法及其Matlab程序设计[M]. 北京: 科学出版社, 2010.

4. 4. 李慧超, 蔡庆伍, 余伟, 杨荃. 双机架可逆冷连轧机组厚度分配途径[J]. 北京科技大学学报, 2004, 26(4): 424- 428.

5. 5. 孙一康. 带钢热连轧的模型与控制[M]. 北京: 冶金工业出版社, 2002.

6. 6. 蒋虬, 刘荣峰. 遗传算法在铝板带冷轧机轧制规程优化中的应用研究[J]. 有色金属加工, 2010, 39(3): 30-32+29.

7. 7. (2010) Algorithm Research of the SQP Method Used in Roll Schedule Calculation for Baosteel’s 5m Heavy Plate. Baosteel Technical Research, No. S1, 103.

8. 8. 孙文瑜, 袁亚湘. 最优化理论与方法[M]. 北京: 科学出版社, 1997.

9. 9. 白金兰, 常安, 王国栋, 刘相华, 阳代军, 潘丽梅, 刘光明. 六辊轧机的负荷分配计算[J]. 重型机械, 2005(6): 49-52.