综合能源系统分析——从数值到解析(二):热网解析法  

Integrated Energy System Analysis--From Numerical to Analytical(Ⅱ):Analytical Method in District Heating System

作　　者：张苏涵 陆帅[1] 顾伟[1] 庄文楠 俞睿智 ZHANG Suhan;LU Shuai;GU Wei;ZHUANG Wennan;YU Ruizhi(Department of Electrical Engineering,Southeast University,Nanjing 210000,Jiangsu Province,China)

机构地区：[1]东南大学电气工程学院,江苏省南京市210000

出　　处：《中国电机工程学报》2024年第19期7603-7615,I0010,共14页PROCEEDINGS OF THE CHINESE SOCIETY FOR ELECTRICAL ENGINEERING

基　　金：国家杰出青年基金项目(52325703)。

摘　　要：供热系统是综合能源系统的重要组成部分。作为系列论文的第2篇,该文以质调节供热系统为研究对象,在一定假设条件下建立其偏微分-代数方程形式的数学模型,并推导了该模型的解析解。首先,将由一阶线性双曲线偏微分方程描述的管道模型转化为初值问题和边值问题的交集;基于此,提出一种双边特征线法用于推导管道模型的解析式,并对解析式进行理论验证;最后,根据温度传输路径的划分,将解析解从单一支路推广至网络,建立热网的源-荷二端口模型。算例分析表明,热网解析法可以有效降低分析复杂度,相较于传统的差分方法具有明显的精度和效率优势。District heating system(DHS)is an important part in integrated energy systems(IES).As the second paper in this series,this paper focuses on the quality regulated DHS and constructs its mathematical model in the form of partial differential-algebraic equations under certain assumptions,subsequently deriving an analytical solution for the model.First,the pipeline model described by a first-order linear hyperbolic partial differential equation is transformed into an intersection of initial value and boundary value problems.A bilateral method of characteristics is then proposed to derive the analytical expression of the pipeline model,which undergoes theoretical validation.Furthermore,by dividing the transfer paths,the analytical solution is extended from a single pipeline to the network level,thereby establishing a source-load two-port model for the quality-regulated DHS.Case studies show that the proposed analytical method outperforms the traditional numerical methods in terms of efficiency.Specially,the analytical method can significantly improve the accuracy and efficiency over the finite difference method.

关 键 词：综合能源系统 数值法 解析法 热动态 双边特征线法 

分 类 号：TM71[电气工程—电力系统及自动化]