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      High-Dimensional Model Representation-Based Surrogate Model for Optimization and Prediction of Biomass Gasification Process

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          Abstract

          Biomass gasification process has been predicted and optimized based on process temperature, pressure, and gasifying agent ratios by integrating Aspen Plus simulation with the high-dimensional model representation (HDMR) method. Results show that temperature and biomass to air ratio (BMR) have significant effects on gasification process. HDMR models demonstrated high performance in predicting H2, net heat (NH), higher heating value (HHV), and lower heating value (LHV) with coefficients of determination 0.96, 0.97, 0.99, and 0.99, respectively. HDMR-based single-objective optimization has maximum outputs for H2, HHV, and LHV (0.369 of mole fractions, 340 kJ/mol, and 305 kJ/mol, respectively) but NH would be negative at these conditions, which indicates that process is not energy-efficient. The optimal solution was determined by the multiobjective which produced 0.24 mole fraction of H2, 158.17 kJ/mol of HHV, 142.48 kJ/mol of LHV, and 442.37 kJ/s NH at 765°C, 0.59 BMR, and 1 bar. Therefore, these parameters can provide an optimal solution for increasing gasification yield, keeping process energy-efficient.

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          Root mean square error (RMSE) or mean absolute error (MAE)? – Arguments against avoiding RMSE in the literature

          Both the root mean square error (RMSE) and the mean absolute error (MAE) are regularly employed in model evaluation studies. Willmott and Matsuura (2005) have suggested that the RMSE is not a good indicator of average model performance and might be a misleading indicator of average error, and thus the MAE would be a better metric for that purpose. While some concerns over using RMSE raised by Willmott and Matsuura (2005) and Willmott et al. (2009) are valid, the proposed avoidance of RMSE in favor of MAE is not the solution. Citing the aforementioned papers, many researchers chose MAE over RMSE to present their model evaluation statistics when presenting or adding the RMSE measures could be more beneficial. In this technical note, we demonstrate that the RMSE is not ambiguous in its meaning, contrary to what was claimed by Willmott et al. (2009). The RMSE is more appropriate to represent model performance than the MAE when the error distribution is expected to be Gaussian. In addition, we show that the RMSE satisfies the triangle inequality requirement for a distance metric, whereas Willmott et al. (2009) indicated that the sums-of-squares-based statistics do not satisfy this rule. In the end, we discussed some circumstances where using the RMSE will be more beneficial. However, we do not contend that the RMSE is superior over the MAE. Instead, a combination of metrics, including but certainly not limited to RMSEs and MAEs, are often required to assess model performance.
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            Hydrogen as an energy vector

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              A trust region method based on interior point techniques for nonlinear programming

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                Author and article information

                Contributors
                Journal
                International Journal of Energy Research
                International Journal of Energy Research
                Hindawi Limited
                1099-114X
                0363-907X
                February 6 2023
                February 6 2023
                : 2023
                : 1-14
                Affiliations
                [1 ]Department of Industrial and Systems Engineering, The Hong Kong Polytechnic University, Hong Kong SAR, China
                [2 ]Department of Chemistry and Chemical Engineering, Chongqing University, Chongqing 400044, China
                [3 ]School of Materials Science and Engineering, Guangdong Engineering Centre for Petrochemical Energy Conservation, Sun Yat-sen University, Guangzhou 510275, China
                Article
                10.1155/2023/7787947
                5b30e7ff-0388-4ba8-b706-fd41f7703f5e
                © 2023

                https://creativecommons.org/licenses/by/4.0/

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