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应用系统分析方法,研究除涝系统的优化调度,借以提高其管理水平和经济效益,已成为当前湖区的重要课题之一。由于湖区除涝系统的复杂性、多样性及其研究的目的、要求不同,所以一般并不存在完全通用的数学模型和求解方法。采用某一模型或方法是否成功的关键在于能否利用系统的特征,使数学模型既逼真又简单,使求解方法能够克服维数障碍并获得最优解。本文结合洞庭湖区垸内除涝系统优化调度的研究,提出了一种能使垸内涝水过程在时间和空间上同时进行优化分配的递阶多维分解-协调模型及其求解方法。通过大通湖典型圩垸的实例计算,验证了这一模型和解法的有效性和优越性。
Application of system analysis methods to study the optimum scheduling of waterlogging system in order to improve its management level and economic benefits has become one of the important topics in the current lake area. Due to the complexity and diversity of lake-clearing system and the purpose and requirements of its research, there is generally no universal mathematical model and solving method. The key to the success of a model or method is whether the system’s features can be utilized to make the mathematical model both realistic and simple, and to overcome the dimensionality obstacles and obtain the optimal solution. Based on the research of optimal control of waterlogging system in the embankment of Dongting Lake, this paper presents a hierarchical multidimensional decomposition-coordination model and its solution method which can make the waterlogging water in the embankment distributed optimally in time and space at the same time. Through the typical example of Datong Lake, it validates the validity and superiority of this model.