Prediction Models for Nitrogen Content in Metal at Various Stages of the Basic Oxygen Furnace Steelmaking Process
Source abstract
Abstract
Controlling dissolved nitrogen is critical to meeting increasingly stringent steel quality targets, yet the variable kinetics of gas absorption and removal across production stages complicate real-time decision-making. Leveraging a total of 291 metal samples, the research applied ordinary least squares (OLS) regression, enhanced by cointegration diagnostics, to develop four stage-specific models covering pig iron after desulfurization, crude steel in the basic oxygen furnace (BOF) before tapping, steel at the beginning and end of secondary metallurgy processing. Predictor selection combined thermodynamic reasoning and correlation analysis to produce prediction equations that passed heteroscedasticity, normality, autocorrelation, collinearity, and graphical residual distribution tests. The k-fold cross-validation method was also used to evaluate models’ performance. The models achieved an adequate accuracy of 77.23–83.46% for their respective stages. These findings demonstrate that statistically robust and physically interpretable regressions can capture the complex interplay between kinetics and the various processes that govern nitrogen pick-up and removal. All data are from U. S. Steel Košice, Slovakia; thus, the models capture specific setup, raw materials, and production practices. After adaptation within the knowledge transfer, implementing these models in process control systems could enable proactive parameter optimization and reduce laboratory delays, ultimately minimizing excessive nitrogenation in finished steel.
Source: crossref · Quality: baseline
Research context
OpenAlex topics: Metallurgical Processes and Thermodynamics · Iron and Steelmaking Processes
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
Affiliations
Faculty of Materials, Metallurgy and Recycling, Institute of Metallurgical Technologies and Digital Transformation, Technical University of Košice, Letná 1/9, 042 00 Košice, Slovakia
Funding
EU NextGenerationEU through the Recovery and Resilience Plan for Slovakia
References (81)
Show source-provided references
1. Nitrogen in Iron and Steel10.2355/isijinternational.36.738 ↗
2. A Mechanistic Study of the Effects of Nitrogen on the Corrosion Properties of Stainless Steels10.5006/1.3293567 ↗
3. Calculation of Nitrogen Absorption into Austenitic Stainless Steel Plate and Wire10.2355/isijinternational.44.1121 ↗
4. Role of Nitrogen on the Corrosion Behavior of Austenitic Stainless Steels10.1016/S0010-938X(02)00040-9 ↗
5. Nitrogen Solubility in Alloy Systems Relevant to Stainless Steels10.1007/s11661-021-06343-0 ↗
6. Roles of Nitrogen on TWIP in Advanced Austenitic Stainless Steels10.1002/srin.202200359 ↗
7. High Nitrogen Steels10.1002/srin.202300505 ↗
8. Fabrication of Ultra High Nitrogen Austenitic Stainless Steel by NH3 Solution Nitriding10.2355/isijinternational.50.1546 ↗
9. Effect of Nitrogen Content on the Mechanical Properties and Deformation Behaviors of Ferritic-Pearlitic Steels10.1016/j.msea.2022.143918 ↗
10. Effects of Processing and Manufacturing of High Nitrogen-Containing Stainless Steels on Their Mechanical, Corrosion and Wear Properties10.1016/S0924-0136(01)00804-4 ↗
11. Mechanisms of the Influence of Nitrogen on the Structure and Properties of Steels (A Review)10.1007/s11041-006-0010-5 ↗
12. Dissimilar Welding of High Nitrogen Stainless Steel and Low Alloy High Strength Steel under Different Shielding Gas Composition: Process, Microstructure and Mechanical Properties10.1016/j.dt.2022.10.010 ↗
13. Weldability of High Nitrogen Stainless Steel10.2355/isijinternational.42.1334 ↗
14. Effect of Absorbed Nitrogen on the Microstructure and Core Loss Property of Non-Oriented Electrical Steel10.2355/isijinternational.45.299 ↗
15. Misra, S., and Fruehan, R.J. (2005). Hydrogen and Nitrogen Control in Ladle and Casting Operations, Carnegie Mellon University Pittsburgh.10.2172/1216251 ↗
16. Turkdogan, E.T. (2010). Fundamentals of Steelmaking, Institute of Materials.
17. Pitkälä, J., Xia, J., and Jokilaakso, A. (1999). CFD Modeling of Nitrogen Dissolution into a Steel Bath During Gas Purging, CSIRO.
18. Kinetic Study of the Nitrogen Removal Rate from Molten Steel (Normal Steel and 17 mass%Cr Steel) under CO Boiling or Argon Gas Injection10.2355/isijinternational.ISIJINT-2014-610 ↗
19. Observation of the Reversible Stabilisation of Liquid Phase Iron during Nitriding10.1016/j.matlet.2016.03.045 ↗
20. Trotter, D., Varcoe, D., Reeves, R., and Hornby, S. (2002, January 10–13). Use of HBI and DRI for Nitrogen Control in Steel Products. Proceedings of the Electric Furnace Conference, San Antonio, TX, USA.
21. Seetharaman, S. (2005). Fundamentals of Metallurgy, CRC Press.10.1533/9781845690946 ↗
22. Ghosh, A., and Chatterjee, A. (2010). Ironmaking and Steelmaking: Theory and Practice, PHI Learning. Eastern economy edition 3. print.
23. Gupta, C.K. (2006). Chemical Metallurgy: Principles and Practice, John Wiley & Sons.
24. Rosenqvist, T. (2004). Principles of Extractive Metallurgy, Tapir Academic Press.
25. Gavriljuk, V.G., and Berns, H. (1999). High Nitrogen Steels: Structure, Properties, Manufacture, Applications, Springer Science & Business Media.10.1007/978-3-662-03760-7 ↗
26. Phosphate, Phosphide, Nitride and Carbide Capacity Predictions of Molten Melts by Using an Artificial Neural Network Approach10.2355/isijinternational.ISIJINT-2015-236 ↗
27. Liapina, T. (2025, August 27). Phase Transformations in Interstitial Fe-N Alloys, Available online: https://www.osti.gov/etdeweb/biblio/20841020.
28. Dutta, S.K., and Chokshi, Y.B. (2020). Secondary Steelmaking. Basic Concepts of Iron and Steel Making, Springer.10.1007/978-981-15-2437-0 ↗
29. Shamsuddin, M. (2021). Secondary Steelmaking. Physical Chemistry of Metallurgical Processes, Second Edition, Springer International Publishing.10.1007/978-3-030-58069-8_8 ↗
30. AISE Steel Foundation (1998). The Making, Shaping, and Treating of Steel, AISE Steel Foundation. [11th ed.].
31. Bodsworth, C. (1994). The Extraction and Refining of Metals, CRC Press.
32. Engh, T.A., Sigworth, G.K., and Kvithyld, A. (2021). Principles of Metal Refining and Recycling, Oxford University Press.10.1093/oso/9780198811923.001.0001 ↗
33. Baptizmansky, V.I., Medzhibozhsky, M.Y., and Okhotsky, V.B. (1984). Converter Processes in Steel Production. Theory, Technology, Equipment Design, Vyshcha Shkola-Main Publishing House.
34. A Study of the Effect of Alloying Elements and Temperature on Nitrogen Solubility in Industrial Stainless Steelmaking10.1007/s11663-022-02534-1 ↗
35. Kinetics of Nitrogen Absorption/Vacuum Denitrigenization and Precipitation Behavior of Nitrogen Bubbles in 42CrMoA Molten Steel10.1002/srin.202400071 ↗
36. Luo, J., He, Z., Hua, Z., and Fan, C. (2025). Research on Microstructure and Mechanical Properties of Ultrasonic-Assisted Gas Metal Arc Welding Additive Manufacturing with High-Nitrogen Steel Welding Wire. Metals, 15.10.3390/met15050491 ↗
37. The Effect of Interstitial N on Grain Boundary Cohesive Strength in Fe10.1016/j.scriptamat.2004.02.003 ↗
38. Fatigue Crack Growth Behavior of Nitrogen-Alloyed Low-Carbon Austenitic Stainless Steel at Room Temperature10.1007/s11837-022-05622-4 ↗
39. Gu, J., Li, J., and Chen, Y. (2017). Microstructure and Strengthening-Toughening Mechanism of Nitrogen-Alloyed 4Cr5Mo2V Hot-Working Die Steel. Metals, 7.10.3390/met7080310 ↗
40. Formulation of Linear Regression Model For Steel Production Prediction For Oil and Gas Operations in Nigeria
41. Mathematical Model for Nitrogen Control in Oxygen Steelmaking10.1007/s11663-999-0100-z ↗
42. Using Machine Learning for Robust Target Prediction in a Basic Oxygen Furnace System10.1007/s11663-020-01853-5 ↗
43. van Dam, M. (2021). Predicting Nitrogen Concentrations Using Machine Learning Techniques. [Master’s Thesis, Tilburg University].
44. A Model of Basic Oxygen Furnace (BOF) End-Point Prediction Based on Spectrum Information of the Furnace Flame with Support Vector Machine (SVM)10.1016/j.ijleo.2010.04.018 ↗
45. Usman, M. (2024). Multivariate Time Series Prediction for Endpoint Prediction of Temperature, Phosphorus, and Carbon in the Basic Oxygen Furnace. [Master’s Thesis, University of Skövde].
46. Machine Learning-Based Prediction of Intergranular Corrosion Resistance in Austenitic Stainless Steels Exposed to Various Heat Treatments10.1007/s40033-024-00675-y ↗
47. (2018). Standard Test Methods for Determination of Carbon, Sulfur, Nitrogen, and Oxygen in Steel, Iron, Nickel, and Cobalt Alloys by Various Combustion and Inert Gas Fusion Techniques (Standard No. ASTM E1019-18).
48. Systematic Use of Nonlinear Data Filtering Methods in Forecasting Tasks10.15276/aait.06.2023.23 ↗
49. Bhandari, P. (2025, March 24). Correlation Coefficient|Types, Formulas & Examples. Available online: https://www.scribbr.com/statistics/correlation-coefficient/.
50. Turney, S. (2025, March 24). Pearson Correlation Coefficient. Available online: https://www.scribbr.com/statistics/pearson-correlation-coefficient/.
51. Onyango, J.P., and Plews, A.M. (1987). A Textbook of Basic Statistics, East African Publishers.
52. Shevlyakov, G.L., and Oja, H. (2016). Robust Correlation: Theory and Applications, John Wiley & Sons.10.1002/9781119264507 ↗
53. Roux, B.L., and Rouanet, H. (2006). Geometric Data Analysis: From Correspondence Analysis to Structured Data Analysis, Springer Science & Business Media.
54. Zighed, D.A., Tsumoto, S., Ras, Z.W., and Hacid, H. (2008). Mining Complex Data, Springer Science & Business Media.10.1007/978-3-540-88067-7 ↗
55. Cohen, J. (2013). Statistical Power Analysis for the Behavioral Sciences, Routledge. [2nd ed.].10.4324/9780203771587 ↗
56. Mathematical Modeling of the Non-Stationary Thermal State of a Composite Coating of Close to Equimolar Composition During Laser Remelting10.59957/jctm.v59.i5.2024.25 ↗
57. Ozili, P.K. (2025, July 10). The Acceptable R-Square in Empirical Modelling for Social Science Research. Available online: https://papers.ssrn.com/sol3/papers.cfm?abstract_id=4128165.
58. Smant, D.J.C. (2025, July 10). Reading Computer Output of a Simple Linear Regression. Available online: https://web.archive.org/web/20060522175346/http://people.few.eur.nl/smant/econometrics/intro_pr_ectr_1.pdf.
59. Diagnosis of Metallurgical Ladle Refractory Lining Based on Non-Stationary On-Line Data Processing
60. Good, P. (2012). Ordinary Least Squares, Chapman and Hall/CRC.
61. Data Analysis and Regression10.2307/2344493 ↗
62. Magnus, J.R. (2019). On Using the T-Ratio as a Diagnostic. Econometrics, 7.10.3390/econometrics7020024 ↗
63. Trochim, W.M.K. (2025, July 14). The T-Test. Available online: https://conjointly.com/kb/statistical-student-t-test/.
64. Trafimow, D. (2019). A Frequentist Alternative to Significance Testing, p-Values, and Confidence Intervals. Econometrics, 7.10.3390/econometrics7020026 ↗
65. What the P Values Really Tell Us10.3344/kjp.2017.30.4.241 ↗
66. Corotto, F.S. (2022). Wise Use of Null Hypothesis Tests: A Practitioner’s Handbook, Elsevier.10.1016/B978-0-323-95284-2.00013-6 ↗
67. Mean Absolute Percentage Error for Regression Models10.1016/j.neucom.2015.12.114 ↗
68. Snedecor, G.W., and Cochran, W.G. (1989). Statistical Methods, Iowa State University Press.
69. NIST/SEMATECH (2025, July 17). e-Handbook of Statistical Methods. F-Test for Equality of Two Variances, Available online: https://www.itl.nist.gov/div898/handbook/eda/section3/eda359.htm.
70. Osborne, J.W. (2025, July 14). Regression & Linear Modeling: Best Practices and Modern Methods. Available online: https://sk.annas-archive.org/md5/1feb3a379f59b4305b9ded659c399953.
71. A Simple Solution of the Spurious Regression Problem
72. Swamy, P.a.V.B., von zur Muehlen, P., Mehta, J.S., and Chang, I.-L. (2025, July 17). Spurious Regressions in Econometrics: Reconsideration. Available online: https://papers.ssrn.com/sol3/papers.cfm?abstract_id=3320044.
73. and G.R. Adaptive Estimation of Heteroscedastic Linear Regression Models Using Heteroscedasticity Consistent Covariance Matrix
74. Heteroscedasticity Testing after Outlier Removal10.1080/07474938.2020.1735749 ↗
75. Detecting Multicollinearity in Regression Analysis10.12691/ajams-8-2-1 ↗
76. Multicollinearity and Misleading Statistical Results10.4097/kja.19087 ↗
77. (2025, July 28). ChemBlink Molasses, Beet Molasses. Available online: https://www.chemblink.com/products/68476-78-8.htm.
78. Chatterjee, S., and K Rout, B. (2023, January 8–11). Nitrogen Control in the Basic Oxygen Steelmaking Process. Proceedings of the AISTech 2023 Proceedings, Detroit, MI, USA.10.33313/387/085 ↗
79. Lule, R., Lopez, F., Espinoza, J., Torres, R., and Morales, R.D. (2025, August 15). The Production of Steels Applying 100% DRI for Nitrogen Removal. Available online: https://www.midrex.com/wp-content/uploads/Production_of_Steels_Applying.pdf.
80. Research on Increasing the Nitrogen Removal Efficiency by Changing the Secondary Treatment Parameters10.4028/www.scientific.net/SSP.216.267 ↗
81. Zhang, F., Li, J., Liu, W., and Jiao, A. (2022). The Thermodynamics and Kinetics of a Nitrogen Reaction in an Electric Arc Furnace Smelting Process. Materials, 16.10.3390/ma16010033 ↗