系统仿真学报 ›› 2016, Vol. 28 ›› Issue (5): 1038-1044.

• 仿真建模理论与方法 • 上一篇    下一篇

一种基于信号流图理论的流体网络建模方法

张悦, 韩璞   

  1. 华北电力大学 河北省发电过程仿真与优化控制工程技术研究中心,保定 071003
  • 收稿日期:2014-12-25 修回日期:2015-05-20 发布日期:2020-07-03
  • 作者简介:张悦(1980-),男,河北安国,博士,讲师,研究方向为复杂系统建模与控制;韩璞(1959-),男,河北平泉,学士,教授,研究方向为现代控制理论。
  • 基金资助:
    中央高校基本科研业务费专项资金(2015MS65)

Fluid Network Modeling Method Based on Theory of Signal Flow Graph

Zhang Yue, Han Pu   

  1. Hebei Engineering Research Center of Simulation & Optimized Control for Power Generation, North China Electric Power University, Baoding 071003, China
  • Received:2014-12-25 Revised:2015-05-20 Published:2020-07-03

摘要: 在流体网络机理建模过程中,引入信号流图的概念来描述流体网络,将流体网络中的各种结构规范为节点和支路两大类,建立节点压力和支路阻力的算法关系。针对流体网络的非线性,强耦合的特点,对节点压力在静态工作点附近泰勒级数展开,通过静态工作点附近线性模型去描述非线性网络,给出了利用有向图提高工作点导纳矩阵计算效率的方法。并对网络模型进行分析,给出了流体网络分段模型的一般结构形式。借助于一个实例,阐述了利用上述方法建立流体网络模型的方法和过程。建模过程表明,该方法简单有效,获得的分段模型具有很强的实用价值。

关键词: 流体网络, 机理建模, 信号流图, 稀疏矩阵

Abstract: The concept of signal flow graph was introduced into the mechanism modeling process to describe the fluid network. Various structures in the fluid network were classified as node and branch, and establish the algorithm relationship between node pressure and bransh resistance. Aiming at the characteristics of nonlinear and strong coupling of fluid network, the node pressure was expressed by Taylor series near the quiescent operation point using the linear model to describe the nonlinear network. A method was proposed which used the directed graph to improve the computational efficiency of the admittance matrix at the working point. Based on the analysis of the new network models, the general structure of segmented model of fluid network was given. Through an example, the method and process of establishing the fluid network model were elaborated by using the above method. The modeling process indicates that this method is simple and effective, and the segmented model obtained has a strong practical value.

Key words: fluid network, mechanism model, signal flow graph, sparse matrices

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