Understanding Dephosphorization in Basic Oxygen Furnaces (BOFs) Using Data Driven Modeling Techniques
Abstract
:1. Introduction
2. Materials and Methods
2.1. Nature of the Data
2.2. Theoretical Model
2.3. Model Adequacy
2.4. Model Validation
3. Results
3.1. Descriptive Statistics
3.2. Individual Predictor Analysis
3.3. Multiple Linear Regression Model Fit
3.4. Final Predictive Models
3.5. Model Validation Results
3.6. Exploratory Analysis
4. Discussion
5. Conclusion and Future Work
Author Contributions
Funding
Conflicts of Interest
References
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Variable | Mean | SD | Min | Q1 | Median | Q3 | Max | |
---|---|---|---|---|---|---|---|---|
Plant I | ||||||||
13,853 | 4.31 | 0.30 | 2.50 | 4.12 | 4.32 | 4.51 | 7.06 | |
Temp | 13,853 | 1648.82 | 19.14 | 1500.00 | 1635.00 | 1647.00 | 1660.00 | 1749.00 |
CaO | 13,853 | 42.43 | 3.62 | 20.00 | 40.00 | 42.40 | 44.90 | 55.90 |
MgO | 13,853 | 9.23 | 1.37 | 3.75 | 8.29 | 9.09 | 10.00 | 16.46 |
SiO2 | 13,853 | 12.89 | 1.74 | 5.40 | 11.70 | 12.80 | 14.00 | 23.30 |
FeO | 13,853 | 18.22 | 3.53 | 7.70 | 15.72 | 18.10 | 20.50 | 36.00 |
MnO | 13,853 | 4.80 | 0.70 | 2.28 | 4.38 | 4.82 | 5.23 | 11.98 |
Al2O3 | 13,853 | 1.80 | 0.48 | 0.59 | 1.49 | 1.74 | 2.04 | 7.79 |
TiO2 | 13,853 | 1.13 | 0.28 | 0.17 | 0.93 | 1.08 | 1.30 | 2.21 |
V2O5 | 13,853 | 2.13 | 0.49 | 0.25 | 1.84 | 2.19 | 2.48 | 3.95 |
Plant II | ||||||||
3084 | 4.63 | 0.34 | 2.77 | 4.44 | 4.68 | 4.87 | 5.64 | |
Temp | 3084 | 1679.10 | 27.11 | 1579.00 | 1661.00 | 1678.00 | 1698.00 | 1777.00 |
CaO | 3084 | 53.45 | 2.30 | 42.33 | 52.00 | 53.49 | 55.02 | 64.06 |
MgO | 3084 | 0.99 | 0.34 | 0.30 | 0.76 | 0.93 | 1.15 | 3.18 |
SiO2 | 3084 | 13.52 | 1.44 | 8.16 | 12.54 | 13.54 | 14.50 | 18.74 |
FeO | 3084 | 19.34 | 2.06 | 13.71 | 17.88 | 19.19 | 20.56 | 29.72 |
MnO | 3084 | 0.62 | 0.18 | 0.24 | 0.50 | 0.59 | 0.71 | 2.50 |
Al2O3 | 3084 | 0.94 | 0.25 | 0.46 | 0.78 | 0.93 | 1.08 | 4.09 |
Plant I | Estimate | Standard Error | T | p |
Intercept | 15.3238 | 0.2542 | 60.28 | <0.0001 |
CaO | 0.0209 | 0.0018 | 11.64 | <0.0001 |
MgO | −0.0363 | 0.0022 | −16.29 | <0.0001 |
SiO2 | −0.0434 | 0.0022 | −19.96 | <0.0001 |
FeO | 0.0049 | 0.0023 | 2.10 | 0.0360 |
MnO | 0.0273 | 0.0042 | 6.52 | <0.0003 |
Al2O3 | −0.0294 | 0.005 | −5.85 | <0.0002 |
TiO2 | −0.0573 | 0.0102 | −5.62 | <0.0001 |
V2O5 | −0.0299 | 0.0047 | −6.35 | <0.0000 |
Temp | −0.0067 | 0.0001 | −56.71 | <0.0001 |
Plant II | Estimate | Standard Error | T | p |
Intercept | 19.0145 | 0.7214 | 26.40 | <0.0001 |
CaO | 0.0019 | 0.0072 | 0.26 | 0.7920 |
MgO | −0.0382 | 0.0181 | −2.10 | 0.0350 |
SiO2 | −0.0399 | 0.0078 | −5.10 | <0.0001 |
FeO | −0.0173 | 0.0097 | −1.77 | 0.0780 |
MnO | −0.1654 | 0.0315 | −5.24 | <0.0001 |
Temp | −0.0080 | 0.0001 | −44.50 | <0.0001 |
Plant | Temperature | CaO | MgO | SiO2 | FeO | MnO | Al2O3 | TiO2 | V2O5 |
---|---|---|---|---|---|---|---|---|---|
Plant I | 1.09 | 8.91 | 1.97 | 3.03 | 14.4 | 1.83 | 1.2 | 1.73 | 1.16 |
Plant II | 1.06 | 13.14 | 1.64 | 5.7 | 19.51 | 1.36 | 1.52 | - | - |
Predictor | Residual Deviance | AIC |
---|---|---|
Full Model | 210.9133 | −8176.002 |
Except CaO | 210.9137 | −8177.997 |
Except Al2O3 | 211.0168 | −8178.501 |
Data | Family of Distribution of Errors | Link Function | AIC |
---|---|---|---|
Plant I | Gaussian | “Identity” | 2228.1 |
Gamma | “Inverse” | 2485.7 | |
Inverse Gaussian | “” | 2693.5 | |
Plant II | Gaussian | “Identity” | 608.6 |
Gamma | “Inverse” | 893.8 | |
Inverse Gaussian | “” | 1067.1 |
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Barui, S.; Mukherjee, S.; Srivastava, A.; Chattopadhyay, K. Understanding Dephosphorization in Basic Oxygen Furnaces (BOFs) Using Data Driven Modeling Techniques. Metals 2019, 9, 955. https://doi.org/10.3390/met9090955
Barui S, Mukherjee S, Srivastava A, Chattopadhyay K. Understanding Dephosphorization in Basic Oxygen Furnaces (BOFs) Using Data Driven Modeling Techniques. Metals. 2019; 9(9):955. https://doi.org/10.3390/met9090955
Chicago/Turabian StyleBarui, Sandip, Sankha Mukherjee, Amiy Srivastava, and Kinnor Chattopadhyay. 2019. "Understanding Dephosphorization in Basic Oxygen Furnaces (BOFs) Using Data Driven Modeling Techniques" Metals 9, no. 9: 955. https://doi.org/10.3390/met9090955