Journal of Textile Research ›› 2022, Vol. 43 ›› Issue (01): 80-88.doi: 10.13475/j.fzxb.20210805609

• Textile Engineering • Previous Articles     Next Articles

Multi-objective optimization of spinning process parameters based on nondominated sorting genetic algorithm II

SHAO Jingfeng(), SHI Xiaomin   

  1. School of Management, Xi'an Polytechnic University, Xi'an, Shaanxi 710048, China
  • Received:2021-08-12 Revised:2021-11-05 Online:2022-01-15 Published:2022-01-28

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Abstract:

In order to optimize of parameters of the spinning production process and to reduce energy consumption, an nondominated sorting genetic algorithm II (NSGA-II) algorithm-based multi-objective optimization method was proposed. By analyzing the spinning process, the process parameters that significantly affect the quality and energy consumption of spun yarn were identified, and the key quality evaluation indexes for evaluating the quality of spun yarn were extracted. The quality evaluation indexes were transformed into comprehensive quality indexes by combining the gray correlation theory, while the correlation relationship between the process parameters and comprehensive quality indexes and carbon emission is fitted by using the second-order response surface method, leading to the establishment of the multi-objective optimization model for spinning process parameters. The NSGA-II algorithm was used to optimize the model, and the optimal process parameters were obtained. The results demonstrate that the quality evaluation indexes were improved using the optimized process conditions, with a reduction carbon emission by 5.77% on average compared with the original conditions.

Key words: multi-objective optimization, process optimization, carbon emission, yarn quality, nondominated sorting genetic algorithm II

CLC Number: 

  • TS111.9

Tab.1

JC7.29 tex quality indicators"

纱线编号 单强CV值/
%		 百米质量
偏差/%		 条干CV值/
%		 细节/
(个·km-1)		 粗节/
(个·km-1)		 棉结/
(个·km-1)		 毛羽
H值		 单纱强力/
cN		 断裂强度/
(cN·tex-1)
1 9.1 0.7 13.2 6 12 81 2.21 164.9 23.3
2 9.4 0.9 13.1 8 23 125 2.94 155.7 22.5
3 9.2 0.4 15.3 19 69 132 3.02 158.8 22.3
4 10.9 0.8 13.5 7 81 130 3.01 152.8 21.8
… … … … … … … … … …
20 9.6 0.2 14.3 44 82 77 2.37 164.9 22.4
权重值 0.10 0.09 0.12 0.11 0.11 0.11 0.14 0.08 0.14

Fig.1

Carbon emission metering model of spinning process"

Fig.2

Multi-objective optimization flow chart of spinning process parameters based on NSGA-II"

Tab.2

SNR processing of spinning quality index data"

试验
编号		 质量指标数据信噪比处理
条干
CV值		 断裂
强度		 细节 粗节 棉结 毛羽
H值
1 -22.44 27.84 -19.00 -29.00 -35.91 -7.66
2 -22.59 27.78 -19.72 -28.44 -35.59 -9.36
3 -22.69 27.78 -18.98 -28.26 -35.87 -9.23
4 -22.42 27.94 -18.25 -27.28 -35.03 -7.53
… … … … … … …
62 -22.68 27.74 -19.96 -29.75 -36.73 -8.87

Tab.3

Weight of spinning quality index"

参数
类型		 质量指标数据信噪比处理
条干
CV值		 断裂
强度		 细节 粗节 棉结 毛羽
H值
标准差Sj 0.253 0.233 0.228 0.231 0.221 0.202
信息量Cj 0.686 0.482 0.878 0.551 0.544 0.779
权重Wj 0.175 0.123 0.224 0.141 0.139 0.199

Tab.4

Grey correlation"

试验编号 灰色关联系数 Q值
条干CV值 断裂强度 细节 粗节 棉结 毛羽H值
1 0.684 8 0.656 0.696 7 0.528 29 0.567 4 0.503 0 0.609 5
2 0.733 8 0.914 8 0.800 1 0.780 0 0.808 7 0.513 0.744 0
3 0.498 9 0.720 8 0.966 2 0.975 3 0.905 6 0.410 7 0.736 7
4 0.973 1 0.841 0 0.362 4 0.380 0 0.395 5 1 0.661 9
… … … … … … …
62 0.568 2 0.624 2 0.517 3 0.471 7 0.490 4 0.481 2 0.522 0

Tab.5

Experimental factor level coding transformation"

序号 试验因素 水平
-1 0 1
1 锭子速度 12 448 13 106.5 13 765
2 后区牵伸倍数 1.16 1.19 1.23
3 细纱捻系数 337 354.5 372
4 前罗拉速度 115 154.5 194
5 钢领直径 35 38.5 42
6 钳口隔距 2 2.75 3.5
7 前罗拉隔距 17 18 19

Tab.6

Partial test scheme and results"

试验编号 因素 Q值 碳排放量/kg
锭子速度 后区牵伸倍数 细纱捻系数 前罗拉速度 钢领直径 钳口隔距 前罗拉隔距
1 0 0 0 -1 1 1 0 0.406 6.536
2 0 1 0 0 1 0 1 0.409 6.415
3 0 1 1 0 0 -1 0 0.586 4.865
4 -1 -1 0 1 0 0 0 0.517 4.890
… … … … … … …
62 0 0 0 1 -1 1 0 0.399 3.840

Fig.3

Pareto optimal solution set"

Fig.4

Model fitting performance analysis. (a) Residual probability distribution of f1(x);(b) Residual probability distribution of f2(x)"

Tab.7

Significance analysis of regression equation"

模型 平方和 均方值 F检验值 P值
f1(x) 0.54 0.015 15.56 <0.000 1
f2(x) 44.07 1.692 6 52.89 <0.000 1

Tab.8

Optimization results of process parameters"

参数组 锭子速度/(r·min-1) 后区牵伸倍数 捻系数 前罗拉速度/(r·min-1) 钢领直径/mm 钳口隔距/mm 前罗拉隔距/mm
传统参数 13 423 1.23 361 154 38 2.5 19
Pareto最优解1 12 782 1.17 366 194 35 3.5 18
Pareto最优解2 12 862 1.18 366 194 35 3.5 17

Tab.9

Ratio of evaluation indexes before and after optimization"

评价指标 初始值 Pareto最优解1 指标改善百分比/% Pareto最优解2 指标改善百分比/%
碳排放Ce/kg 4.42 4.10 7.24 4.23 4.3
条干CV值/% 13.87 13.56 2.24 13.48 2.81
断裂强度z2/(kN·tex-1) 23.1 23.75 2.81 23.69 2.55
细节z3/(个·km-1) 15 12 20 13 13.3
粗节z4/(个·km-1) 37 26 29.7 25 32.4
棉结z5/(个·km-1) 85 74 12.9 73 14.1
毛羽H值 3.25 2.9 10.8 2.84 12.6
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