热轧复合带材卷取张力控制研究

徐丽翠; 刘思雨; 吕骏; 潘长帅; 王振敏; 刘善奎

doi:10.3969/j.issn.1674-6457.2026.02.009

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精密成形工程 ›› 2026, Vol. 18 ›› Issue (2) : 91-100. DOI: 10.3969/j.issn.1674-6457.2026.02.009

复合材料成形

热轧复合带材卷取张力控制研究

徐丽翠, 刘思雨, 吕骏, 潘长帅, 王振敏^*, 刘善奎

作者信息 +

Tension Control in Coiling of Hot-rolled Composite Strips

XU Licui, LIU Siyu, LYU Jun, PAN Changshuai, WANG Zhenmin^*, LIU Shankui

Author information +

文章历史 +

摘要

目的以多层铜箔复合热轧生产为例,针对多层铜箔复合热轧生产中因初始结合强度不足、铜带不易弯曲而难以直接测量张力的问题,提出一种控制方法以提升带材卷取稳定性。方法通过建立张力控制数学模型分析影响张力的因素,深入分析电动机卷取特性,确定导致张力波动的主要变量,为解决卷径动态测量难题,本研究采用一种编码器计算卷取圈数法与带材线速度计算法相结合的方式动态实时计算卷径,通过加权平均方法融合2个结果,同时引入卡尔曼滤波算法对编码器信号进行优化处理以应对信号的时变特性,将结果与加权平均法进行比较;最后通过电机电流间接计算实时张力,由Fuzzy PID控制器输出转速修正量,以此实现卷取恒张力控制。结果在MATLAB/Simulink仿真平台上构建数字模型,对比分析卡尔曼滤波和加权平均法的性能,结果表明,卡尔曼滤波算法有更快的动态响应时间和处理突变的能力,控制卷径的平均误差≤2 mm,最大误差为13.12 mm,远低于加权平均法的最大误差。结论基于卡尔曼滤波算法得到的卷径结果更为准确,Fuzzy PID控制策略可有效提升卷取过程的稳定性,为多层铜箔复合轧制提供了可靠的技术方案。

Abstract

Focusing on multilayer copper foil composite hot rolling, the work aims to address the challenge of direct tension measurement caused by insufficient initial bonding strength and limited copper strip bendability by proposing an innovative control method to enhance coiling stability. A tension control mathematical model was established to analyze influencing factors and examined motor coiling characteristics to identify key tension fluctuation variables. For dynamic coil diameter measurement, an integrated approach combining encoder-based measurements with linear speed calculations was developed to fuse results through weighted averaging. A Kalman filter was introduced to optimize encoder signals for handling time-varying characteristics, with performance systematically compared against weighted averaging. Real-time tension was indirectly calculated via motor current, while a fuzzy PID controller adjusted rotational speed to maintain constant tension. Simulations on MATLAB/Simulink demonstrated the Kalman filter's superior performance: faster dynamic response, improved abrupt change handling, average coil diameter error <2 mm, and maximum error of 13.12 mm, significantly lower than weighted averaging. In conclusion, the roll diameter result obtained based on the Kalman filter is more accurate. The fuzzy PID control strategy can effectively enhance process stability, providing a reliable technical solution for multilayer copper foil composite rolling.

导出引用

徐丽翠, 刘思雨, 吕骏, 潘长帅, 王振敏, 刘善奎. 热轧复合带材卷取张力控制研究[J]. 精密成形工程. 2026, 18(2): 91-100 https://doi.org/10.3969/j.issn.1674-6457.2026.02.009

XU Licui, LIU Siyu, LYU Jun, PAN Changshuai, WANG Zhenmin, LIU Shankui. Tension Control in Coiling of Hot-rolled Composite Strips[J]. Journal of Netshape Forming Engineering. 2026, 18(2): 91-100 https://doi.org/10.3969/j.issn.1674-6457.2026.02.009

中图分类号： TG335.81

参考文献

[1] JIANG Q, ZHANG P L, YU Z S, et al.A Review on Additive Manufacturing of Pure Copper[J]. Coatings, 2021, 11(6): 740.
[2] ZHANG W J, HUANG L, MI X J, et al.Researches for Higher Electrical Conductivity Copper-Based Materials[J]. CMat, 2024, 1(1): e13.
[3] 孔祥鹏. 关于输配电系统电能损耗问题的探究[J]. 科技资讯, 2017, 15(21): 37-38.
KONG X P.Discussion on the Problem of Power Loss in Transmission and Distribution System[J]. Science & Technology Information, 2017, 15(21): 37-38.
[4] NOVOSELOV K S, GEIM A K, MOROZOV S V, et al.Electric Field Effect in Atomically Thin Carbon Films[J]. Science, 2004, 306(5696): 666-669.
[5] GHOSH S, CALIZO I, TEWELDEBRHAN D, et al.Extremely High Thermal Conductivity of Graphene: Prospects for Thermal Management Applications in Nanoelectronic Circuits[J]. Applied Physics Letters, 2008, 92(15): 151911.
[6] TENG C, XIE D, WANG J F, et al.Ultrahigh Conductive Graphene Paper Based on Ball-Milling Exfoliated Graphene[J]. Advanced Functional Materials, 2017, 27(20): 1700240.
[7] RODGERS P.Nanoscience and Technology: A Collection of Reviews from Nature Journals[M]. Singapore: Co-Published with Macmillan Publishers Ltd, UK, 2009.
[8] 魏秋芳, 杨雪松, 张政. 石墨烯导电性能的应用研究进展[J]. 辽宁化工, 2014, 43(9): 1192-1194.
WEI Q F, YANG X S, ZHANG Z.Research Progress in Application of Graphene Electricai Conductivity[J]. Liaoning Chemical Industry, 2014, 43(9): 1192-1194.
[9] 梁彤祥, 刘娟, 王晨. 石墨烯的电子结构及其应用进展[J]. 材料工程, 2014, 42(6): 89-96.
LIANG T X, LIU J, WANG C.Electronic Structure of Graphene and Its Application Advances[J]. Journal of Materials Engineering, 2014, 42(6): 89-96.
[10] BALANDIN A A, GHOSH S, BAO W Z, et al.Superior Thermal Conductivity of Single-Layer Graphene[J]. Nano Letters, 2008, 8(3): 902-907.
[11] GEIM A K, NOVOSELOV K S.The Rise of Graphene[J]. Nature Materials, 2007, 6(3): 183-191.
[12] 黄子翀, 刘伟林, 李骏, 等. 化学气相沉积法生长石墨烯的现状及展望[J]. 新型炭材料(中英文), 2025, 40(3): 457-476.
HUANG Z C, LIU W L, LI J, et al.Current Status and Prospect of Graphene Growth by Chemical Vapor Deposition[J]. New Carbon Materials, 2025, 40(3): 457-476.
[13] LIN L, DENG B, SUN J Y, et al.Bridging the Gap between Reality and Ideal in Chemical Vapor Deposition Growth of Graphene[J]. Chemical Reviews, 2018, 118(18): 9281-9343.
[14] KIM M S, CHO S Y, KIM M, et al.Comparison of Growth Behavior and Electrical Properties of Graphene Grown on Solid and Liquid Copper by Chemical Vapor Deposition[J]. Journal of Nanoscience and Nanotechnology, 2020, 20(1): 316-323.
[15] WASSEI J K, MECKLENBURG M, TORRES J A, et al.Chemical Vapor Deposition of Graphene on Copper from Methane, Ethane and Propane: Evidence for Bilayer Selectivity[J]. Small, 2012, 8(9): 1415-1422.
[16] 张瑜, 张宏强, 梅寒, 等. 石墨烯强化铜泡沫对SiC_f/ SiC复合材料与高温合金钎焊接头组织性能的影响[J]. 精密成形工程, 2025, 17(3): 49-57.
ZHANG Y, ZHANG H Q, MEI H, et al.Effect of Graphene-Reinforced Copper Foam on Microstructure Properties of SiC_f/SiC Composites and Superalloys Brazed Joints[J]. Journal of Netshape Forming Engineering, 2025, 17(3): 49-57.
[17] 王金南, 侯中勇. 冷轧板带卷取间接张力控制[J]. 现代制造技术与装备, 2024, 60(8): 187-189.
WANG J N, HOU Z Y.Indirect Tension Control for Cold Rolled Strip Winding[J]. Modern Manufacturing Technology and Equipment, 2024, 60(8): 187-189.
[18] 吴俊. 冷轧机张力控制系统分析[J]. 科技与创新, 2015(2): 9-10.
WU J.Cold Rolling Mill Tension Control System Analysis[J]. Science and Technology & Innovation, 2015(2): 9-10.
[19] 杨晓晓, 贾胜利. 热轧卷取机带钢头部堆钢现象分析[J]. 山西冶金, 2024, 47(6): 251-253.
YANG X X, JIA S L.Analysis of the Phenomenon of Steel Stacking at the Head of the Hot Rolling Coiler Strip[J]. Shanxi Metallurgy, 2024, 47(6): 251-253.
[20] CHEN W H, SUN X T, CHEN W J, et al.Nonlinear Web Tension Control of a Roll-to-Roll Printed Electronics System[J]. Precision Engineering, 2022, 76: 88-94.
[21] 袁志国, 王爱国. 卷径测量信号的数据处理[J]. 有色金属加工, 2023, 52(2): 68-70.
YUAN Z G, WANG A G.Data Processing of Coil Diameter Measurement Signal[J]. Nonferrous Metals Processing, 2023, 52(2): 68-70.
[22] 毛松林. 冷轧板带卷取间接张力控制的研究[D]. 沈阳: 东北大学, 2016.
MAO S L.Study on the Strip Tension Control of Continuous Annealing Production Line[D]. Shenyang: Northeastern University, 2016.
[23] MAJUMDER M K, DILIP P V, SINGH P K, et al.Mathematical Model to Analyze Coiling Feasibility at Downcoiler in Hot Strip Mill[J]. International Journal of Precision Engineering and Manufacturing, 2023, 24(10): 1889-1901.
[24] WANG Z C, DING Y, ZHAO H Y, et al. Coiling Tension Control System of PID Simulation[J]. Advanced Materials Research, 2014, 989/990/991/992/993/994: 3019-3024.
[25] WANG H P, CHEN H P, ZHU Y T, et al. Diameter Real-Time Computing of Uncoiler/Coiler Machines Based on the S7-300[J]. Applied Mechanics and Materials, 2014, 670/671: 586-591.
[26] 高健. 一种基于卡尔曼滤波的卷径计算方法[J]. 冶金自动化, 2023, 47(S1): 186-188.
GAO J.A Calculation Method of Coil Diameter Based on Kalman Filter[J]. Metallurgical Industry Automation, 2023, 47(S1): 186-188.