Optimal water allocation integrated with water supply, replenishment, and spill in the in-series reservoir based on an improved decomposition and dynamic programming aggregation method

Abstract

In humid regions with the monsoon climate, seasonal water shortages and water spills occur alternately because of uneven temporal and spatial distributions of water resources. An optimization model for the in-series reservoir (ISR) with replenishment pumping stations was developed to obtain the minimum annual sum of water shortage and systematically considered the reservoir operation rule of water spill and replenishment. This model features multiple dimensions; dynamic programming (DP) may cause a ‘curse of dimensions’, while the decomposition-coordination method has difficulty in judging logic conditions in the reservoir operation rules. So, an improved decomposition and DP aggregation (DDPA) method was proposed. The proposed model and the method were applied to a real case in the humid region of southern China. Compared to a conventional scheduling method, the water supply was increased by 0.8% and replenishment was reduced by 2.5%. Moreover, a comparison between DDPA and six heuristic algorithms was discussed. All heuristic algorithms' objective function values only obtained local optimal solutions, and the water shortage of the system was 0.12–20.5%. The obtained results demonstrated that DDPA was the better choice for highly complex multi-reservoir systems. The proposed optimization algorithm of this study enriched the optimization theory of multi-dimensional and multi-variable complex systems.

Optimization of the Coupling between Water and Energy Consumption in a Smart Integrated Photovoltaic Pumping Station System

“…The optimization model proposed in this paper represents a typical high-dimensional nonlinear system, for which heuristic algorithms are commonly employed as the mainstream approach to problem-solving [26,27]. However, the presence of equality constraints and judgment constraints in this specific optimization model poses challenges for heuristic algorithms to efficiently handle such constraints, despite the potential use of penalty function methods to address the issue [28][29][30]. Therefore, considering these characteristics of the proposed optimization model, an improved dynamic programming algorithm was adopted in this study as an effective solution strategy specifically tailored for handling equality constraints.…”

Optimization of Dualistic Reservoir System Two-Dimensional Rule Curve with Three Allocation Rules

“…Xu et al [25] developed a new decomposition-aggregation technique that merged the decomposition approach with Dynamic Programming Aggregation (DDPA) to reduce the water spillage from a series reservoir in China. The results illustrated that the water supply from the series reservoirs increased by 0.8%.…”

“…The results illustrated that the water supply from the series reservoirs increased by 0.8%. In addition to the equivalent rule curve, water released from the whole reservoir system is a function of the position of the hedging rule curve and the rationing coefficients for each water user in the 2D reservoir rule curve [25]. Khalaf et al [26] derived an optimal two-dimensional reservoir rule curve for the Mosul-Dukan dual water supply reservoir to meet the common industrial and agricultural water requirements.…”