基于全纯嵌入的电热综合能源系统动态能流计算方法  

Dynamic Energy Flow Calculation Method of Integrated Heat and Electricity Systems Based on Holomorphic Embedding

作　　者：李宏仲 滕佳伦 Li Hongzhong;Teng Jialun(School of Electrical Engineering Shanghai Dianli University,Shanghai 200090 China)

机构地区：[1]上海电力大学电气工程学院,上海200090

出　　处：《电工技术学报》2025年第4期1254-1267,共14页Transactions of China Electrotechnical Society

摘　　要：为实现多种能源互补共济与高效利用,集多种异质能源于一体的综合能源系统受到了广泛的关注。而综合能源系统的动态能流计算对后续的优化控制与能源调度研究起着重要作用。为了精准地描述热力网络的动态特性,实现对综合能源系统的连续动态能流计算,该文提出一种基于全纯嵌入的电热综合能源系统动态能流联合计算方法。首先,对热网动态模型做空间离散化处理,保留温度对时间的微分,将热力网络的偏微分动态方程转化常微分方程。其次,利用时变的全纯函数对电-热能流方程进行重构,构建全纯嵌入的电-热动态能流模型,并递归求解全纯函数的系数,得到能流的解析表达式。最后,先用单个热力管道算例验证模型的有效性和准确性,而后用IEEE14节点标准算例和51节点热力网络耦合成的电热互联系统算例进行仿真分析,设置热负荷、电负荷和发电机出力发生波动的场景,并将仿真结果与分解求解法、快速灵活全纯嵌入法、龙格库塔法进行对比。仿真结果表明,该文所提方法可获得准确、连续的动态能流解,同时能够精准地描述能流响应扰动的过程。Integrated energy system(IES)is a product of the deep integration between multiple energy networks and the internet.It aims to enhance the comprehensive utilization of various forms of energy,such as electricity,heat,cooling,and gas,by establishing supply,transmission,distribution,and utilization systems.The dynamic simulation calculations of the IES are crucial for subsequent optimization control and energy scheduling research.This paper proposes a dynamic energy flow calculation method for the integrated heat and electricity systems(IHES)based on holomorphic embedding to accurately describe the dynamic characteristics of thermal network pipelines and achieve continuous dynamic simulation of the IHES.Firstly,the study spatially discretizes the dynamic model of thermal network pipelines in the IHES,keeping the differential relationship of temperature concerning time,and the partial differential equation of heat network is transformed into an ordinary differential equation.A thermal network model under mass regulation mode is proposed.Secondly,the energy flow equation is reconstructed with a time-varying holomorphic function,and the dynamic electric-thermal energy flow model is established by holomorphic embedding.Then,using the holomorphic embedding sequence solution(HESS)method to determine the series unfolding sequence,the analytical expressions of node temperature,voltage amplitude,and phase with time can be obtained.Finally,a single thermal pipeline serves as a case study to compare the HESS with the Runge-Kutta method.Simulation results indicate that the HESS can produce a continuous energy flow solution with one recursive calculation(recalculation of holomorphic functions is only necessary when imbalances do not meet the requirements).By inserting time into the current phase of holomorphic functions,the IHES state variable values can be determined without repetitive iterative solutions.In contrast,the Runge-Kutta method requires continuous iteration with a fixed step size to obtain discrete-time energy flow

关 键 词：全纯嵌入法 能流计算 动态仿真 递归计算 

分 类 号：TM743[电气工程—电力系统及自动化]