A Derivative-Free Hybrid Optimization Model for Short-Term Operation of a Multi-Objective Reservoir System Under Uncertainty

Duan Chen (), Arturo S. Leon, Qiuwen Chen and Ruonan Li
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Duan Chen: Changjiang River Scientific Research Institute
Arturo S. Leon: Florida International University
Qiuwen Chen: Nanjing Hydraulic Research Institute
Ruonan Li: Chinese Academy of Sciences

Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), 2018, vol. 32, issue 11, No 10, 3707-3721

Abstract: Abstract Short-term operation of a multi-objective reservoir system under inflow uncertainty has been receiving increasing attention, however, major challenges for the optimization of this system still remain due to the multiple and often conflicting objectives, highly nonlinear constraints and uncertain parameters in which derivative information may not be directly available. Population-based optimization methods do not rely on derivatives while generally have a slow convergence. This study presents a hybrid optimization model for short-term operation of multi-objective reservoirs under uncertainty that is derivative free and has a relatively fast convergence. The model incorporates a local improvement method called Mesh Adaptive Direct Search (MADS) into a population-based method NSGA-II and has no requirement for differentiability, convexity and continuity of the optimization problem. The operation of a multi-objective and multi-reservoir system on the Columbia River under inflow uncertainty is used as a case study. Overall, the hybrid model outperforms optimization models based on either the NSGA-II only or the MADS only. The model is intended for conditions where derivative information of the optimization problem is unavailable, which could have a wide array of applications in water resources systems.

Keywords: Reservoir operation; Multi-objective; Hybrid optimization; Derivative-free; Uncertainty (search for similar items in EconPapers)
Date: 2018
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DOI: 10.1007/s11269-018-2014-5

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