scholarly journals Multiple Urban Domestic Water Systems: Method for Simultaneously Stabilized Robust Control Decision

2018 ◽  
Vol 10 (11) ◽  
pp. 4092 ◽  
Author(s):  
Kebai Li ◽  
Tianyi Ma ◽  
Guo Wei
Keyword(s):  
Decision Making ◽  
Robust Control ◽  
Water Supply ◽  
Supply And Demand ◽  
Water Systems ◽  
Demand Systems ◽  
Domestic Water ◽  
Control Scheme ◽  
Domestic Water Consumption ◽  
Domestic Water Supply

The distribution of water resources and the degree of economic development in different cities will result in different parameters for the supply and demand of domestic water in each city. In this paper, a simultaneous stabilization and robust control method is proposed for decision-making regarding multiple urban domestic water systems. The urban water demand is expressed as the product of the urban domestic water consumption population and per capita domestic water consumption. The fixed capital investment and labor input of the urban domestic water supply industry are used as control variables. Based on the Lyapunov stability theory and the linear matrix inequality method, multiple urban domestic water supply and demand systems can accomplish asymptotical stability through the coordinated input of investment and labor. For an empirical analysis, we take six cities—Nanjing, Wuxi, Nantong, Yangzhou, Xuzhou, and Lianyungang—in Jiangsu Province, China, to study the simultaneously stabilized coordinated control scheme. The simulation results show that the same control scheme simultaneously achieves the asymptotic stability of these urban domestic water supply and demand systems, and is robust when it comes to the variation of system parameters. This method is particularly suitable for a water resources administrative agency to make a unified decision-making arrangement for water supply input in different areas. It will help synchronize multiple urban domestic water managements and reduce the difficulty of control.

scholarly journals Optimum Matching Model Using Long-Term Computing on Safer Rural Domestic Water Supply Based on Rainwater Harvesting

2018 ◽  
Vol 15 (12) ◽  
pp. 2864 ◽  
Author(s):  
Yan-Zhao Jin ◽  
Lu-Wen Zhou ◽  
Kwong Lo
Keyword(s):  
Water Supply ◽  
Rural Areas ◽  
Storage Capacity ◽  
Rainwater Harvesting ◽  
Supply And Demand ◽  
Computation Method ◽  
Matching Model ◽  
Domestic Water ◽  
Domestic Water Supply

A safe rural domestic water supply project has been initiated based on different consumption uses. Long-term computation method and the water balance principle are used to analyze the yearly water demand. Water supply and demand balance is achieved through regulated planning of the rainwater collection surface area and water storage capacity. The best combination of collection area and storage capacity is then determined for various rainfall zones in order to satisfy safe domestic water needs. Ultimately, an optimum matching model is developed to utilize rainwater harvesting for providing safe domestic water in rural areas.

scholarly journals Dynamic Modeling and Simulation of Urban Domestic Water Supply Inputs Based on VES Production Function

Mathematics ◽  
2021 ◽  
Vol 10 (1) ◽  
pp. 89
Author(s):  
Kebai Li ◽  
Zhilei Ding
Keyword(s):  
Water Supply ◽  
Production Function ◽  
Water Demand ◽  
Early Stage ◽  
Supply And Demand ◽  
Labor Input ◽  
Domestic Water ◽  
Straight Line ◽  
Per Capita ◽  
Domestic Water Supply

The Gompertz growth curve is used to describe the urban water population, the linear function is used to represent the per capita disposable income, and the domestic water demand is described combined with the factors of population, income, and the water-saving consciousness. The VES production function is used to describe the production function of the domestic water supply. Combined with system dynamics, the supply and demand management model of urban domestic water in Jiangsu province, China, is developed. The process of water supply investment and labor input in the urban domestic water system is studied with two depreciation methods: the straight-line depreciation method and the sum of years digits method. In the case that the water consumption population is expected to decline, four water demand scenarios composed of different per capita disposable income and the growth rate of water-saving consciousness are investigated. Investment and labor input are taken as control variables to conduct water supply and demand simulations for the four scenarios. The results show that the control schemes in all four scenarios reach a balance between water supply and demand. Moreover, the investment of the sum of years digits method is larger than that of the straight-line depreciation method in 2005–2019 but less than that of the straight-line depreciation method in 2020–2034. The sum of years digits method has the characteristics of more depreciation in the early stage and less depreciation in the later stage, which is conducive to timely compensation for the large loss of fixed assets in the early stage.

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