基于图论的火电机组热经济性定量分析方法

在分析火电机组热力系统结构特点的基础上,将图论思想引入到热力系统节能分析中,规定了火电机组热力系统的划分原则及其基于图的表达方法,确定了火电机组热力系统的有向图带权邻接矩阵填写规则。根据能量守恒定律、质量守恒定律并结合有向图带权邻接矩阵,推导出火电机组热力系统的有向图带权邻接矩阵方程、燃料消耗率及燃料微分变动方程。基于图论的火电机组热力系统节能分析方法,以图的形式研究电站热力系统,以点与线组成的能量流、物质流二元关系图形来描述电站热力系统,数学模型物理意义明确,使用方便,矩阵填写规范,是一种全新的火电机组热力系统热经济性分析方法。最后给出实例验证了本方法的正确性。

A Quantitative Analysis Method for the Power Plant Thermal System Based on Graph Theory

Based on the analysis of the structure features of the coal-fired power unit thermal system,graph theory was introduced into the power unit thermal system energy-saving analysis fields,and the division principles and the expression way based on graph theory of power unit thermal system were stipulated.The rules to fill the digraph weighted adjacency matrix of coal-fired power unit thermal system were determined.Combined with the energy conservation law,mass conservation law and the digraph weighted adjacency matrix,the digraph weighted adjacency equation of the coal-fired power unit thermal system,fuel consumption rate & fuel differential equation were deduced.The quantitative analysis method for the power plant thermal system based on graph theory studies the power unit thermal system by the way of graph,and describes the energy flow & mass flow of thermal system by binary relation graph combined with point and line.This method is of standard and concise form,whose physical meaning is well-expressed.It is a novel thermal economics analysis method of coal-fired power unit thermal system.An example was given to illustrate the validity of the method.