综合能源系统分析——从数值到解析(一):气网解析法  

Integrated Energy System Analysis——From Numerical to Analytical(I):Analytical Method in Natural Gas System

作　　者：张苏涵 顾伟[1] 陆帅[1] 俞睿智 庄文楠 ZHANG Suhan;GU Wei;LU Shuai;YU Ruizhi;ZHUANG Wennan(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16期6432-6443,I0012,共13页PROCEEDINGS OF THE CHINESE SOCIETY FOR ELECTRICAL ENGINEERING

基　　金：国家杰出青年基金项目(52325703)。

摘　　要：为解决传统数值方法冗余变量多、近似误差大、稳定性难以保证的困难,该文提出面向综合能源系统分析的解析法,以满足运行分析的高精度、低复杂度、可行性需求。作为系列论文的第一部分,该文以天然气网络为研究对象,推导其动态模型的通用解析式和实用表征形式,实现了偏微分方程向代数方程的无误差变换。并根据天然气网络解析解的性质,建立天然气管道和网络的等值模型,进一步削减模型复杂度。算例仿真分析表明,天然气网络分析的解析法具有显著的精度和计算效率优势。在相近的计算开销下,解析法相较于数值法能实现数十倍的精度提升。Traditional numerical methods face the challenges posed by abundant variables and approximation errors,as well as difficulties in ensuring stability.To fulfill these gaps,this article proposes an analytical method for the first time to achieve higher precision,lower complexity,and strong feasibility in integrated energy system analysis.As the first part of the serial studies,this paper focuses on the analysis of the natural gas system(NGS).First,the generalized analytical solution to the gas flow dynamics is derived and the transformation from partial different equations(PDEs)to algebraic equations without approximation errors is realized.Based on the analytical properties,the equivalent representations of the branch and network models in NGS are developed in sequence to further reduce the model complexity.The simulations in different cases indicate the significant superiority of the analytical method in accuracy and efficiency.With a similar computational cost,the analytical method can improve the accuracy dozens of times over the numerical methods.

关 键 词：综合能源系统 天然气系统 数值法 解析法 偏微分方程 

分 类 号：TM71[电气工程—电力系统及自动化]