Journal of Graphics ›› 2025, Vol. 46 ›› Issue (6): 1172-1182.DOI: 10.11996/JG.j.2095-302X.2025061172
• Core Industrial Software for Manufacturing Products • Previous Articles Next Articles
TANG Jun(
), ZHU Shihua, YI Bin, LIU Chunbo, WANG Mingyue, MA Ning(
)
Received:2025-07-31
Accepted:2025-11-05
Online:2025-12-30
Published:2025-12-27
Contact:
MA Ning
About author:First author contact:TANG Jun (1984-), senior engineer, Ph.D. His main research interests cover data mining and advanced manufacturing. E-mail:juntang2013@163.com
CLC Number:
TANG Jun, ZHU Shihua, YI Bin, LIU Chunbo, WANG Mingyue, MA Ning. Multi-channel fusion GRA-Transformer based multi-stage prediction model for multi-process quality indicators prediction[J]. Journal of Graphics, 2025, 46(6): 1172-1182.
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URL: http://www.txxb.com.cn/EN/10.11996/JG.j.2095-302X.2025061172
| 预测步数 | 模型 | 平均MSE | 平均R2 |
|---|---|---|---|
| 1 | Transformer | 1.148 | 0.919 |
| Transformer-MCRFB | 0.991 | 0.927 | |
| Transformer-MC-CF | 0.717 | 0.947 | |
| 2 | Transformer | 1.901 | 0.863 |
| Transformer- MCRFB | 0.450 | 0.968 | |
| Transformer-MC-CF | 0.163 | 0.989 | |
| 3 | Transformer | 2.143 | 0.853 |
| Transformer- MCRFB | 1.245 | 0.908 | |
| Transformer-MC-CF | 0.853 | 0.941 |
Table 1 Ablation experiment
| 预测步数 | 模型 | 平均MSE | 平均R2 |
|---|---|---|---|
| 1 | Transformer | 1.148 | 0.919 |
| Transformer-MCRFB | 0.991 | 0.927 | |
| Transformer-MC-CF | 0.717 | 0.947 | |
| 2 | Transformer | 1.901 | 0.863 |
| Transformer- MCRFB | 0.450 | 0.968 | |
| Transformer-MC-CF | 0.163 | 0.989 | |
| 3 | Transformer | 2.143 | 0.853 |
| Transformer- MCRFB | 1.245 | 0.908 | |
| Transformer-MC-CF | 0.853 | 0.941 |
| 参数 | 出料含水率 | 出料温度 |
|---|---|---|
| 蒸汽自动阀门开度 | 0.808 8 | 0.729 8 |
| 工艺流量 | 0.742 9 | 0.808 2 |
| 气水混合阀门开度 | 0.745 7 | 0.690 3 |
| 加水比例 | 0.659 7 | 0.639 5 |
| 加水流量 | 0.582 9 | 0.553 1 |
| 工艺热风温度 | 0.514 3 | 0.497 5 |
| 物料累计量 | 0.498 8 | 0.484 7 |
| 加水累计量 | 0.486 2 | 0.460 9 |
Table 2 Correlation degrees in loosening and conditioning
| 参数 | 出料含水率 | 出料温度 |
|---|---|---|
| 蒸汽自动阀门开度 | 0.808 8 | 0.729 8 |
| 工艺流量 | 0.742 9 | 0.808 2 |
| 气水混合阀门开度 | 0.745 7 | 0.690 3 |
| 加水比例 | 0.659 7 | 0.639 5 |
| 加水流量 | 0.582 9 | 0.553 1 |
| 工艺热风温度 | 0.514 3 | 0.497 5 |
| 物料累计量 | 0.498 8 | 0.484 7 |
| 加水累计量 | 0.486 2 | 0.460 9 |
| 参数 | 出料含水率 | 出料温度 |
|---|---|---|
| 瞬时加料比例 | 0.718 6 | 0.859 0 |
| 加料流量 | 0.693 6 | 0.822 3 |
| 工艺流量 | 0.674 7 | 0.799 8 |
| 蒸汽自动阀门开度 | 0.567 2 | 0.509 4 |
| 工艺热风温度 | 0.553 3 | 0.518 4 |
| 料液温度 | 0.393 5 | 0.368 1 |
| 瞬时加料精度 | 0.388 2 | 0.357 6 |
| 加水流量 | 0.309 1 | 0.285 8 |
| 气水混合阀门开度 | 0.275 0 | 0.256 7 |
Table 3 Correlation degrees in primary casing
| 参数 | 出料含水率 | 出料温度 |
|---|---|---|
| 瞬时加料比例 | 0.718 6 | 0.859 0 |
| 加料流量 | 0.693 6 | 0.822 3 |
| 工艺流量 | 0.674 7 | 0.799 8 |
| 蒸汽自动阀门开度 | 0.567 2 | 0.509 4 |
| 工艺热风温度 | 0.553 3 | 0.518 4 |
| 料液温度 | 0.393 5 | 0.368 1 |
| 瞬时加料精度 | 0.388 2 | 0.357 6 |
| 加水流量 | 0.309 1 | 0.285 8 |
| 气水混合阀门开度 | 0.275 0 | 0.256 7 |
| 组别 | 松散回潮 | 一级加料 | 平均 | ||
|---|---|---|---|---|---|
| 出料含水率 | 出料温度 | 出料含水率 | 出料温度 | ||
| 1 | 0.956 | 0.960 | 0.945 | 0.956 | 0.954 |
| 2 | 0.919 | 0.936 | 0.920 | 0.930 | 0.926 |
| 3 | 0.965 | 0.975 | 0.958 | 0.962 | 0.965 |
| 4 | 0.919 | 0.938 | 0.893 | 0.899 | 0.912 |
| 5 | 0.963 | 0.970 | 0.908 | 0.894 | 0.934 |
Table 4 Comparison of R2 results for excluded variables
| 组别 | 松散回潮 | 一级加料 | 平均 | ||
|---|---|---|---|---|---|
| 出料含水率 | 出料温度 | 出料含水率 | 出料温度 | ||
| 1 | 0.956 | 0.960 | 0.945 | 0.956 | 0.954 |
| 2 | 0.919 | 0.936 | 0.920 | 0.930 | 0.926 |
| 3 | 0.965 | 0.975 | 0.958 | 0.962 | 0.965 |
| 4 | 0.919 | 0.938 | 0.893 | 0.899 | 0.912 |
| 5 | 0.963 | 0.970 | 0.908 | 0.894 | 0.934 |
| 对比模型 | 类别 | 时间窗 | 松散回潮 | 一级加料 | 平均 | ||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 出料含水率 | 出料温度 | 出料含水率 | 出料温度 | ||||||||||||
| 1步 | 2步 | 3步 | 1步 | 2步 | 3步 | 1步 | 2步 | 3步 | 1步 | 2步 | 3步 | ||||
| LSTM | 单工序 | 8 | 0.940 | 0.879 | 0.813 | 0.993 | 0.948 | 0.853 | 0.889 | ||||||
| 单工序 | 16 | 0.940 | 0.901 | 0.847 | 0.973 | 0.984 | 0.891 | 0.911 | |||||||
| 单工序 | 24 | 0.941 | 0.879 | 0.814 | 0.975 | 0.984 | 0.864 | 0.894 | |||||||
| 单工序 | 8 | 0.941 | 0.884 | 0.824 | 0.948 | 0.896 | 0.844 | 0.889 | |||||||
| 单工序 | 16 | 0.942 | 0.885 | 0.826 | 0.948 | 0.896 | 0.844 | 0.890 | |||||||
| 单工序 | 24 | 0.942 | 0.884 | 0.826 | 0.947 | 0.895 | 0.842 | 0.889 | |||||||
| GRU | 单工序 | 8 | 0.922 | 0.858 | 0.789 | 0.934 | 0.887 | 0.839 | 0.793 | ||||||
| 单工序 | 16 | 0.934 | 0.869 | 0.803 | 0.945 | 0.898 | 0.851 | 0.846 | |||||||
| 单工序 | 24 | 0.920 | 0.851 | 0.780 | 0.939 | 0.891 | 0.842 | 0.781 | |||||||
| 单工序 | 8 | 0.842 | 0.781 | 0.699 | 0.859 | 0.813 | 0.842 | 0.872 | |||||||
| 单工序 | 16 | 0.910 | 0.847 | 0.786 | 0.895 | 0.847 | 0.910 | 0.883 | |||||||
| 单工序 | 24 | 0.852 | 0.777 | 0.698 | 0.834 | 0.789 | 0.852 | 0.870 | |||||||
| 本文方法 | 多工序 | 8 | 0.923 | 0.983 | 0.949 | 0.959 | 0.982 | 0.962 | 0.925 | 0.974 | 0.951 | 0.945 | 0.977 | 0.952 | 0.957 |
| 多工序 | 16 | 0.982 | 0.979 | 0.970 | 0.985 | 0.983 | 0.980 | 0.982 | 0.970 | 0.974 | 0.985 | 0.980 | 0.933 | 0.975 | |
| 多工序 | 24 | 0.981 | 0.973 | 0.947 | 0.984 | 0.981 | 0.961 | 0.918 | 0.974 | 0.953 | 0.949 | 0.980 | 0.955 | 0.963 | |
Table 5 Comparative experiments of R2
| 对比模型 | 类别 | 时间窗 | 松散回潮 | 一级加料 | 平均 | ||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 出料含水率 | 出料温度 | 出料含水率 | 出料温度 | ||||||||||||
| 1步 | 2步 | 3步 | 1步 | 2步 | 3步 | 1步 | 2步 | 3步 | 1步 | 2步 | 3步 | ||||
| LSTM | 单工序 | 8 | 0.940 | 0.879 | 0.813 | 0.993 | 0.948 | 0.853 | 0.889 | ||||||
| 单工序 | 16 | 0.940 | 0.901 | 0.847 | 0.973 | 0.984 | 0.891 | 0.911 | |||||||
| 单工序 | 24 | 0.941 | 0.879 | 0.814 | 0.975 | 0.984 | 0.864 | 0.894 | |||||||
| 单工序 | 8 | 0.941 | 0.884 | 0.824 | 0.948 | 0.896 | 0.844 | 0.889 | |||||||
| 单工序 | 16 | 0.942 | 0.885 | 0.826 | 0.948 | 0.896 | 0.844 | 0.890 | |||||||
| 单工序 | 24 | 0.942 | 0.884 | 0.826 | 0.947 | 0.895 | 0.842 | 0.889 | |||||||
| GRU | 单工序 | 8 | 0.922 | 0.858 | 0.789 | 0.934 | 0.887 | 0.839 | 0.793 | ||||||
| 单工序 | 16 | 0.934 | 0.869 | 0.803 | 0.945 | 0.898 | 0.851 | 0.846 | |||||||
| 单工序 | 24 | 0.920 | 0.851 | 0.780 | 0.939 | 0.891 | 0.842 | 0.781 | |||||||
| 单工序 | 8 | 0.842 | 0.781 | 0.699 | 0.859 | 0.813 | 0.842 | 0.872 | |||||||
| 单工序 | 16 | 0.910 | 0.847 | 0.786 | 0.895 | 0.847 | 0.910 | 0.883 | |||||||
| 单工序 | 24 | 0.852 | 0.777 | 0.698 | 0.834 | 0.789 | 0.852 | 0.870 | |||||||
| 本文方法 | 多工序 | 8 | 0.923 | 0.983 | 0.949 | 0.959 | 0.982 | 0.962 | 0.925 | 0.974 | 0.951 | 0.945 | 0.977 | 0.952 | 0.957 |
| 多工序 | 16 | 0.982 | 0.979 | 0.970 | 0.985 | 0.983 | 0.980 | 0.982 | 0.970 | 0.974 | 0.985 | 0.980 | 0.933 | 0.975 | |
| 多工序 | 24 | 0.981 | 0.973 | 0.947 | 0.984 | 0.981 | 0.961 | 0.918 | 0.974 | 0.953 | 0.949 | 0.980 | 0.955 | 0.963 | |
Fig. 6 The multi-step prediction results of loosening and conditioning ((a) 1-step prediction for output material moisture content; (b) 2-step prediction for output material moisture content; (c) 3-step prediction for output material moisture content; (d) 1-step prediction for output material temperature; (e) 2-step prediction for output material temperature; (f) 3-step prediction for output material temperature)
Fig. 7 The multi-step prediction results of primary casing ((a) 1-step prediction for output material moisture content; (b) 2-step prediction for output material moisture content; (c) 3-step prediction for output material moisture content; (d) 1-step prediction for output material temperature; (e) 2-step prediction for output material temperature; (f) 3-step prediction for output material temperature)
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