Discharge coefficient prediction and sensitivity analysis for triangular broad-crested weir using machine learning methods

Abstract

The broad-crested weir is convenient to construct and has a small amount of excavation, widely used in practical engineering. Discharge computing has been the focus of research on this structure, thus developing generalized regression neural network (GRNN), genetic programming (GP), and extreme learning machine (ELM) are used to predict the discharge coefficient (C_d) of the triangular broad-crested weir. The comprehensive analysis shows that the ELM model has high stability, predictive ability, and computational speed. The coefficient of determination (R^2) is 0.99982, the mean absolute percentage error (MAPE) is 0.000261, the Nash-Sutcliffe coefficient (NSE) is 0.99977, and the root means square error (RMSE) is 4.17E-05 in the testing phase. The apex angle θ is the most critical parameter affecting the C_d, and the contribution to the C_d is 52.45%. A new computational formula is proposed and compared with the accuracy of empirical formulas, showing that the intelligent method has higher accuracy and efficiency.

Keywords

broad-crested weir / discharge coefficient / machine learning / quantitative analysis

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2024 The Author(s). River published by Wiley-VCH GmbH on behalf of China Institute of Water Resources and Hydropower Research (IWHR).