Utilizing the Sobol’ Sensitivity Analysis Method to Address the Multi-Objective Operation Model of Reservoirs

Abstract

The operation of reservoirs has significantly influenced the river ecological system. Upholding the ecological integrity of rivers during reservoir operations has been the focus of research over the years. When the Dahuofang reservoir project started, focus moved to ecological goals to address the Biliuhe reservoir’s environmental issues. The water strategy limits usage for various purposes and outlines the diversion route, complicating Biliuhe operations. In this study, to comprehend the effects of individual water level guidelines and their combined influence on these goals, the Sobol’ sensitivity analysis was introduced as an initial measure to tackle the optimization challenge. The results show that removing the insensitive water levels during specific periods of reservoir scheduling lines and beginning with sensitive water levels for local optimization to identify viable solutions, and then moving to wider optimization, significantly enhances the search efficiency, solution quality, and operational speed compared with an exhaustive search without any preceding steps. This sensitivity analysis technique is crucial for fine-tuning multi-objective reservoir operations.

Global Sensitivity Analysis of Factors Influencing the Surface Temperature of Mold during Autoclave Processing

“…This paper applies the Sobol method to conduct a detailed global sensitivity analysis (GSA), aiming to quantify the individual effects of each factor and their interactions with other factors on the variation in the mold surface temperature during the autoclave processing. In this method, the variance-based sensitivity indices provide a scalar measure of relative influence based on conditional variance, which is widely recommended by researchers [ 16 , 17 , 18 , 19 , 20 ] for effectively characterizing single- and multi-parameter interactive sensitivities in non-linear and non-additive models, and the relatively straight forward interpretation of the sensitivity indices. There are five factors considered in this analysis including CHTC, TCL, TMF, MMT, and TAL used in the autoclave processing.…”

Global Sensitivity Analysis of Structural Reliability Using Cliff Delta

“…Among these, variance-based sensitivity indices, also known as Sobol' indices [7,8], are particularly notable for their mathematical elegance in measuring the individual, interaction, and total contributions of each input to the model output uncertainty, see, e.g. [13,14].…”