确定多重现期暴雨公式参数的二次优化算法

四参数非线性多重现期暴雨公式在城市排水规划设计中有着广泛的应用。搜索算法与最小二乘法是优化计算的两个简单有效的方法,不过单独直接用于求解四参数非线性多重现期暴雨公式的参数比较困难。提出耦合最小二乘法及搜索算法确定多重现期暴雨公式参数的二次优化算法,该方法可以一次得到多重现期暴雨强度公式的参数,参数优化过程不需要图解。研究表明,计算结果比较客观;成果精度高,例题的平均绝对均方差为0.035mm/min。与遗传算法、蚁群算法等比较,该方法计算原理容易理解,计算简便,可以用Excel进行参数优化计算。

Inquiring into Parameters of Rainstorm Formula in Multiple Return Period with Quadratic Optimization Method

Non-linear rainstorm formula in multiple return period with four parameters is widely used in China urban planning and design of outdoor drainage.Searching method and least square method are two simple and effective methods of optimization calculation.However,it is rather difficult to be used individually and directly to solve parameters of non-linear rainstorm formula in multiple return period with four parameters.In this paper,quadratic optimization method was proposed the coupled least squares and search algorithm to inquire into parameters of rainstorm formula in multiple return period.This method can obtain the parameters of rainstorm intensity formula in multiple return period at a time.The optimization course of parameters does not need diagram.The result shows that the proposed method is objective and accurate.The average absolute mean square error is 0.035mm/ min in the case.Compared with genetic algorithm and ant colony algorithm,the calculation principle of the method can be easily understood,the calculation is simple,and the calculation of parameter optimization can be made with Excel.