Optimization on Water Resource System Operation Policy during Drought

Abstract

The mixed linear programming model is commonly recognized to be an effective means for searching optimal reservoir operation policy in water resources system. In this paper a multi-objective mixed integer linear programming model is set up to obtain the optimal operation policy of multi-reservoir water supply system during drought, which is able to consider the operation rule of reservoir-group system within longer-term successive drought periods, according to the basic connotation of indexes expressing the water-supply risk of reservoir during drought, that is, reliability, resilience and vulnerability of reservoir water supply, and mathematical programming principles. The model-solving procedures, particularly, the decomposition-adjustment algorithm, are proposed based on characteristics of the model structure. The principle of modelsolving technique is to decompose the complex system into several smaller sub-systems on which some ease-solving mathematical models may be established. The objective of this optimization model aims at maximizing the reliability of water supply and minimizing the maximum water-shortage of single time-period within water-supply system during drought. The multi-objective mixed integer linear programming model and proposed solving procedures are applied to a case study of reservoir-group water-supply system in Huanghe-Huaihe River Basin, China. The desired water-shortage distribution within the system operation term and the maximum shortage of single time-period are achieved. The results of case study verifies that the lighter water-shortage distributed evenly among several time-periods can avoid the calamities resulted from severe water shortage concentrated on a few time-periods during drought.

Effects of Coordinated Operation of Weirs and Reservoirs on the Water Quality of the Geum River

“…Reliability (α) is defined as the probability that the system will properly provide the water supply during time period t, and it can be expressed as shown in Equation (7). Risk (β) is defined as the probability that the water supply will not satisfy water demand in time period t, and it can be expressed as shown in Equation (8). The criteria used in the reliability analysis for the design and operation of the water resource system are divided into frequency-based reliability values, which show the proportion of the total period during which water shortages occurred, and quantitative reliability levels, which show the proportion of water shortages in relation to the total water supply; the relevant equations are as follows:…”

“…Minville et al [6] examined irrigation, flood and water generation capacity by tracking reservoirs in order to brace for uncertain future climates in the Peribonka River Basin using the HEC-ResSim reservoir modeling software [7]. Fang et al [8] studied the optimization of dam operations during drought by classifying climate conditions, and irrigation and flooding seasons, thereby controlling water supply volume and minimizing the water deficit in the Huanghe-Huaige water system. Divakar et al [9] studied the total benefit functions for agriculture, hydropower, domestic and industrial sectors under a case study of allocation practices.…”

Theory of an Optimal Dynamical Water Resource Management Policy

“…The integration of an economic trading model with a hydrologic water allocation model is discussed [12]. A multi-objective mixed integer linear programming model is set up to obtain the optimal operation policy of multi-reservoir water supply system during drought [13]. An overview of the policy context for water marketing and the related practice of groundwater banking are provided and trends summarized in both areas [14].…”

Evaluation of Water Quality Interaction by Dam and Weir Operation Using SWAT in the Nakdong River Basin of South Korea

“…Several studies recently assessed the dam and weir operation using hydrological models, such as Fang et al [5], who attempted to optimize the water resources system operation policy of a multi-reservoir water supply system. Ahn et al [6] conducted research on the combined operation of 16 multi-function weirs in South Korea.…”