The performance of surrogate models, data assimilation and hybrid models when applied to the water-cooled freeboard of a process converter.

• This dataset contains the figures and tables underpinning a dissertation on incorporating sensor measurements using data assimilation and machine learning to improve the accuracy of thermal finite element methods, as well as the data that these figures and tables portray. The filenames of the figures and tables correspond to the numbering applied to them in the dissertation. The data portrayed by these figures and tables are provided by means of the following *.mat files:surrogate_cs1.mat contains the performance of different types of surrogate models of a simplified model of a process converter freeboard, on which Tables 8 and 9 are based.
• data_assimilation_cs1.mat contains the performance of different data assimilation algorithms applied to a simplified model of a process converter freeboard, on which Figures 14-17 and 41-60 are based.
• hybrid_cs1.mat contains the performance of hybrid models of a simplified model of a process converter freeboard, on which Figures 19, 20 and 21-23, as well as Table 13 are based.
• surrogate_cs2.mat contains the performance of different types of surrogate model of a half model of a process converter freeboard, on which Table 15 is based.
• data_assimilation_simulated_cs2.mat contains the performance of different data assimilation algorithms applied using simulated measurements of a process converter freeboard, on which Figures 27-29 and Table 17 are based.
• hybrid_simulated_cs2.mat contains the performance of hybrid models trained using simulated measurements of a process converter freeboard, on which Figures 30-33 and Table 18 are based.
• data_assimilation_real_cs2.mat contains the performance of different data assimilation parameters for an application using real measurements of a process converter freeboard, on which Figure 35 is based.
• hybrid_real_cs2.mat contains the performance of hybrid models trained using real measurements of a process converter freeboard, on which Figures 37-40 and Table 20 are based.

Each *.mat file (a Matlab file format which can be used within other software environments like Octave and Python ) contains a variable called ‘description’ that provides a short description of each of the other variables contained in the file.