模糊集理论下水库汛期隶属度数学模型与汛限水位计算

总结了常见的水库汛限水位调度模式,以汛期模糊集理论为依据,讨论这些调度模式下汛期隶属度的数学模型,分析各种调度模式的特点,提出用三角函数做无参函数计算汛期隶属度的一种数学模型,并以余弦函数计算水库后汛期的隶属度;提出以主汛期汛限水位到兴利水位之间库容作为汛期隶属度计算防洪库容的方法,并给出算例。

The Computation of Flood Control Water Level and Mathematics Model of Relative Membership Grade of Reservoirs in Flood Season Based on The Theory of Fuzzy Sets

In this paper,the common patterns of scheduling reservoirs flood control water level are summarized.According to the fuzzy sets theory in flood season,the mathematics models of relative membership grade in flood season using these common scheduling patterns are discussed,and the characters and adopted conditions of these models are analyzed.Based on these,a kind of mathematics model using trigonometric functions as nonparameter function to compute the relative membership grade in flood season is put forward.In this paper,cosine function is adopted to calculate the relative membership grade of after flood season of reservoirs,and the method,using the reservoir capacity between flood control water level in main flood season and beneficial capacity as flood control capacity to calculate relative membership grade in flood season,is brought forward,and some numerical examples are given.