CIESC Journal ›› 2020, Vol. 71 ›› Issue (5): 2173-2181.DOI: 10.11949/0438-1157.20191499
• Process system engineering • Previous Articles Next Articles
Ling LI(),Yalin WANG(),Bei SUN
Received:
2019-12-12
Revised:
2020-01-23
Online:
2020-05-05
Published:
2020-05-05
Contact:
Yalin WANG
通讯作者:
王雅琳
作者简介:
李灵(1988—),女,博士研究生,基金资助:
CLC Number:
Ling LI, Yalin WANG, Bei SUN. Fractional step reduction method for sensitive variable selection of refining processes[J]. CIESC Journal, 2020, 71(5): 2173-2181.
李灵, 王雅琳, 孙备. 一种分步约简的炼油生产敏感变量选择方法[J]. 化工学报, 2020, 71(5): 2173-2181.
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序号 | 过程参数 | 偏相关系数 | 离散 程度 | 敏感性指数 |
---|---|---|---|---|
1 | 原料油总流量 | 0.5784 | 0.1211 | 0.0700 |
2 | 反应加热炉总入口温度 | 0.4035 | 0.0408 | 0.0165 |
… | … | … | … | … |
11 | 精制反应器三床层底部温度 | 0.4132 | 0.2690 | 0.1112 |
12 | 精制反应器塔底温度指示 | 0.2873 | 0.0107 | 0.0031 |
13 | 精制反应器压差 | 0.2312 | 0.0258 | 0.0060 |
… | … | … | … | … |
21 | 冷低压分离器冷低分油流量 | 0.4756 | 0.1239 | 0.0589 |
22 | 新氢至加裂流量 | 0.4829 | 1.5620 | 0.7543 |
23 | 脱硫化氢汽提塔塔顶回流量 | 0.0931 | 0.0834 | 0.0078 |
… | … | … | … | … |
30 | 主分馏塔中段抽出量 | 0.4561 | 0.0365 | 0.0166 |
31 | 主分馏塔中段返回温度 | 0.2578 | 0.0171 | 0.0044 |
… | … | … | … | … |
37 | 柴油汽提塔塔顶温度 | 0.3006 | 0.0311 | 0.0093 |
38 | 柴油汽提塔底部温度 | 0.1722 | 0.0205 | 0.0035 |
Table 1 Sensitivity index of mechanism selected variables of hydrocracking process
序号 | 过程参数 | 偏相关系数 | 离散 程度 | 敏感性指数 |
---|---|---|---|---|
1 | 原料油总流量 | 0.5784 | 0.1211 | 0.0700 |
2 | 反应加热炉总入口温度 | 0.4035 | 0.0408 | 0.0165 |
… | … | … | … | … |
11 | 精制反应器三床层底部温度 | 0.4132 | 0.2690 | 0.1112 |
12 | 精制反应器塔底温度指示 | 0.2873 | 0.0107 | 0.0031 |
13 | 精制反应器压差 | 0.2312 | 0.0258 | 0.0060 |
… | … | … | … | … |
21 | 冷低压分离器冷低分油流量 | 0.4756 | 0.1239 | 0.0589 |
22 | 新氢至加裂流量 | 0.4829 | 1.5620 | 0.7543 |
23 | 脱硫化氢汽提塔塔顶回流量 | 0.0931 | 0.0834 | 0.0078 |
… | … | … | … | … |
30 | 主分馏塔中段抽出量 | 0.4561 | 0.0365 | 0.0166 |
31 | 主分馏塔中段返回温度 | 0.2578 | 0.0171 | 0.0044 |
… | … | … | … | … |
37 | 柴油汽提塔塔顶温度 | 0.3006 | 0.0311 | 0.0093 |
38 | 柴油汽提塔底部温度 | 0.1722 | 0.0205 | 0.0035 |
样本序号 | 马氏距离 | 余弦相似度 | 余弦马氏距离 |
---|---|---|---|
1 | 1.2643 | 0.4000 | 1.1260 |
2 | 0.5608 | 0.3437 | 0.5261 |
3 | 0.8299 | 0.3559 | 0.7540 |
4 | 1.0096 | 0.4000 | 0.9121 |
… | … | … | … |
29 | 1.0354 | 0.3401 | 0.9241 |
30 | 1.3146 | 0.3460 | 1.1597 |
31 | 0.9665 | 0.4000 | 0.8759 |
32 | 1.2449 | 0.4000 | 1.1097 |
Table 2 Weighted cosine Mahalanobis space
样本序号 | 马氏距离 | 余弦相似度 | 余弦马氏距离 |
---|---|---|---|
1 | 1.2643 | 0.4000 | 1.1260 |
2 | 0.5608 | 0.3437 | 0.5261 |
3 | 0.8299 | 0.3559 | 0.7540 |
4 | 1.0096 | 0.4000 | 0.9121 |
… | … | … | … |
29 | 1.0354 | 0.3401 | 0.9241 |
30 | 1.3146 | 0.3460 | 1.1597 |
31 | 0.9665 | 0.4000 | 0.8759 |
32 | 1.2449 | 0.4000 | 1.1097 |
样本序号 | 马氏距离 | 余弦相似度 | 余弦马氏距离 |
---|---|---|---|
1 | 4.919 | 0.3437 | 4.1870 |
2 | 276.954 | 0.3437 | 232.6964 |
3 | 1.6571 | 5.3472 | 2.2475 |
4 | 227.402 | 0.3460 | 191.0370 |
5 | 49.435 | 0.4000 | 41.5894 |
6 | 572.315 | 0.4000 | 480.8086 |
7 | 562.881 | 0.4000 | 472.8840 |
8 | 167.429 | 0.3401 | 140.6948 |
9 | 14.732 | 0.3401 | 12.4293 |
10 | 335.268 | 0.4000 | 281.6891 |
11 | 134.409 | 0.3390 | 112.9578 |
12 | 551.747 | 0.4000 | 463.5315 |
Table 3 Cosine Mahalanobis distance of the abnormal samples
样本序号 | 马氏距离 | 余弦相似度 | 余弦马氏距离 |
---|---|---|---|
1 | 4.919 | 0.3437 | 4.1870 |
2 | 276.954 | 0.3437 | 232.6964 |
3 | 1.6571 | 5.3472 | 2.2475 |
4 | 227.402 | 0.3460 | 191.0370 |
5 | 49.435 | 0.4000 | 41.5894 |
6 | 572.315 | 0.4000 | 480.8086 |
7 | 562.881 | 0.4000 | 472.8840 |
8 | 167.429 | 0.3401 | 140.6948 |
9 | 14.732 | 0.3401 | 12.4293 |
10 | 335.268 | 0.4000 | 281.6891 |
11 | 134.409 | 0.3390 | 112.9578 |
12 | 551.747 | 0.4000 | 463.5315 |
变量 | 1 | 2 | … | 15 | 16 | S/N1 | S/N2 | S/N差 |
---|---|---|---|---|---|---|---|---|
x1(x1) | 1 | 1 | … | 2 | 2 | 1.269 | 0.131 | 1.14 |
x2(x2) | 1 | 1 | … | 1 | 1 | 1.058 | -2.169 | 3.23 |
… | … | … | … | … | … | … | … | … |
x20(x22) | 2 | 1 | … | 2 | 1 | 0.886 | 0.122 | 0.76 |
x21(x24) | 2 | 1 | … | 1 | 1 | -0.296 | 0.154 | -0.45 |
… | … | … | … | … | … | … | … | … |
x28(x32) | 2 | 2 | … | 1 | 2 | -0.356 | 0.487 | -0.84 |
… | … | … | … | … | … | … | … | … |
x31(x35) | 2 | 2 | … | 1 | 1 | 1.632 | 1.021 | 0.61 |
x32(x36) | 2 | 2 | … | 1 | 2 | -0.610 | -0.495 | -0.12 |
Table 4 OAs and S/N ratios
变量 | 1 | 2 | … | 15 | 16 | S/N1 | S/N2 | S/N差 |
---|---|---|---|---|---|---|---|---|
x1(x1) | 1 | 1 | … | 2 | 2 | 1.269 | 0.131 | 1.14 |
x2(x2) | 1 | 1 | … | 1 | 1 | 1.058 | -2.169 | 3.23 |
… | … | … | … | … | … | … | … | … |
x20(x22) | 2 | 1 | … | 2 | 1 | 0.886 | 0.122 | 0.76 |
x21(x24) | 2 | 1 | … | 1 | 1 | -0.296 | 0.154 | -0.45 |
… | … | … | … | … | … | … | … | … |
x28(x32) | 2 | 2 | … | 1 | 2 | -0.356 | 0.487 | -0.84 |
… | … | … | … | … | … | … | … | … |
x31(x35) | 2 | 2 | … | 1 | 1 | 1.632 | 1.021 | 0.61 |
x32(x36) | 2 | 2 | … | 1 | 2 | -0.610 | -0.495 | -0.12 |
变量集合 | RMSE |
---|---|
机理筛选辅助变量集合 | 3.2870 |
敏感变量集合 | 3.1740 |
关键敏感变量集合 | 3.0474 |
Table 5 RMSE of LWPLS on three auxiliary variable sets
变量集合 | RMSE |
---|---|
机理筛选辅助变量集合 | 3.2870 |
敏感变量集合 | 3.1740 |
关键敏感变量集合 | 3.0474 |
变量集合 | RMSE |
---|---|
机理筛选辅助变量集合 | 3.3001 |
敏感变量集合 | 3.1922 |
关键敏感变量集合 | 3.0764 |
Table 6 RMSE of 10-fold cross validation on three auxiliary variable sets
变量集合 | RMSE |
---|---|
机理筛选辅助变量集合 | 3.3001 |
敏感变量集合 | 3.1922 |
关键敏感变量集合 | 3.0764 |
变量集合 | RMSE | ||
---|---|---|---|
PLS | SVM | LWKPCR | |
机理筛选辅助变量集合 | 3.6553 | 3.9652 | 3.2358 |
敏感变量集合 | 3.5363 | 3.8422 | 3.1727 |
关键敏感变量集合 | 3.4955 | 3.7272 | 3.0377 |
Table 7 RMSE of three methods based on three auxiliary variable sets
变量集合 | RMSE | ||
---|---|---|---|
PLS | SVM | LWKPCR | |
机理筛选辅助变量集合 | 3.6553 | 3.9652 | 3.2358 |
敏感变量集合 | 3.5363 | 3.8422 | 3.1727 |
关键敏感变量集合 | 3.4955 | 3.7272 | 3.0377 |
变量选择方法 | RMSE |
---|---|
本文所提方法 | 3.0474 |
文献[ | 3.1036 |
基于互信息的方法 | 3.1955 |
Table 8 RMSE of LWPLS on three variable selection methods
变量选择方法 | RMSE |
---|---|
本文所提方法 | 3.0474 |
文献[ | 3.1036 |
基于互信息的方法 | 3.1955 |
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