基于渗漏模型的城市排水系统建模与分析

Modeling and analysis of urban drainage system based on leakage mode

针对城市排水系统管网中管道发生渗漏这一不确定因素,结合传统圣维南方程组研究渗漏发生时的系统建模与分析问题.分析某段发生渗漏的管道内的水流运动状态,推理计算得出改进后的连续性方程和动量方程.结合我国城市排水系统管网中管道的具体运行情况,对方程组进行线性化,建立以流量为状态的城市排水系统水力学状态空间模型.分析系统稳定性,设计系统状态反馈控制器,通过仿真验证了所提方法的正确性.

The leakage inside the sewer＇s pipeline was considered in the urban drainage system.The modeling and analysis of urban drainage system was conducted combined with the traditional Saint-Venant equations.The improved continuity and momentum equations were established by analyzing the state of flow in a certain pipeline in the urban drainage system.Combined with the specific condition in the existed urban drainage system,the state-space model of the hydraulics was established to describe the flow inside the sewer＇s pipeline through the linearization of the equations.A stability analysis was conducted for the model,and the state feedback controller was designed for the system.The simulation example was given to illustrate the effectiveness of the approach.