摘要
基于功率键合图理论,将所研究的城市配水系统的动态结构绘制成功率键合图,从功率键合图推导出系统的非线性状态空间方程。首先通过增维法将非齐次系统方程转化成齐次方程的形式,避免了系统矩阵求逆,节省计算时间,增强了计算稳定性。模型应用精细积分法迭代求解。实例计算表明,模型计算得到的稳态值同EPANET软件的稳态计算结果一致,验证了算法的正确性。
Based on the bond-graph theory, the bond-graph of water distribution studied is presented according to the dynamic structure. Then the system nonlinear state space equations are derived from the power bond-graph above. Firstly, non-homogeneous equations are converted into homogeneous equations by means of increment dimensional method and the matrix inversion need not be computed in the integration processing. As a result, the computing time consuming is saved and the computing stability is enhanced. Afterwards, the nonlinear state space equations are solved iteratively using precise integration method. The steady numerical results demonstrate favourable agreement with numerical results of a hydraulic simulation code EPANET.
出处
《给水排水》
CSCD
北大核心
2007年第1期98-102,共5页
Water & Wastewater Engineering
关键词
键合图
城市配水系统
精细积分
动态建模
Bond- graph theory
Water distribution systems
Precise integration
Dynamic modeling
