活性污泥数学模型求解过程的应用研究  

Application of Solving Process for Activated Sludge Models

作　　者：方荣兆 范岳峰 甘一萍[2] 王佳伟[2] 常江[2] 

机构地区：[1]上海昊沧系统控制技术有限责任公司,上海200030 [2]北京城市排水集团有限责任公司科技研发中心,北京100022

出　　处：《中国给水排水》2010年第17期54-56,61,共4页China Water & Wastewater

基　　金：国家科技支撑计划项目(2006BAC19B01)

摘　　要：活性污泥模型(ASMs)被广泛地使用在设计和过程仿真中,其特征是用物料平衡方程来描述活性污泥工艺流程中各个连续流反应器中各种物质的变化,表现为一系列相关联的常微分方程组。由于这些常微分方程组没有解析解,只能用数值方法求解。分别运用Euler法、梯形公式法、定步长的三阶和四阶Runge-Kutta法及变步长的Runge-Kutta-Fehlberg法对这些常微分方程组进行求解,对不同方法的计算效率、计算精度和误差累积进行评价,发现变步长的Runge-Kutta-Fehlberg法为最优的求解方法。Activated sludge models （ASMs） are widely used in design and process simulation, and their characteristics are that lhe variations of different matters in continuous flow reactors during activated sludge process are described by the mass balance equations which are written as a set of coupled ordinary differential equations （ODEs）. Because there is no analytic solution for ODEs, some numerical methods are used to solve these equations. These numerical methods include Euler method, trapezoid method, fixed step third order Runge-Kutta method, fixed step fourth order Runge-Kutta method and variable step Runge-Kutta-Fehlberg method. In comparison of computational efficiency, computational accuracy and error accumulation from these methods, the variable step Runge-Kutta-Fehlberg method is suitable for dynamic simulation.

关 键 词：活性污泥模型 常微分方程组 求解方法 

分 类 号：X703[环境科学与工程—环境工程]