电工技术学报  2025, Vol. 40 Issue (4): 1254-1267    DOI: 10.19595/j.cnki.1000-6753.tces.240196
电力系统与综合能源 |
基于全纯嵌入的电热综合能源系统动态能流计算方法
李宏仲, 滕佳伦
上海电力大学电气工程学院 上海 200090
Dynamic Energy Flow Calculation Method of Integrated Heat and Electricity Systems Based on Holomorphic Embedding
Li Hongzhong, Teng Jialun
School of Electrical Engineering Shanghai Dianli University Shanghai 200090 China
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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IEEE 14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。
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李宏仲
滕佳伦
关键词 全纯嵌入法能流计算动态仿真递归计算    
Abstract: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 solutions, and its accuracy assurance method involves choosing sufficiently small step sizes, leading to longer computational times.
Simulation analysis is conducted on an IEEE 14-node standard case and a 51-node thermal network. By setting scenarios of increased thermal load, simultaneous increase in electrical and thermal loads, and increased generator output, the simulation results are compared with the holomorphic embedding factorization solution (HEFS), fast and flexible holomorphic embedding (FFHE), and Runge-Kutta method. HEFS requires continuous repetitive iterations on subsystems, resulting in longer computation times and lower precision. FFHE, however, models steady-state equations to calculate energy flow solutions at specific time slices, offering better computational speed and precision.
The following conclusions are drawn from the simulation analysis. (1) HESS utilizes holomorphic functions to directly calculate the working state of IHES at any moment within the simulation time. The proposed method is more flexible and efficient than the holomorphic embedding decomposition and traditional Runge-Kutta methods. (2) The proposed energy flow calculation method can be used for dynamic simulation of electric- thermal integrated energy systems, especially in load or output fluctuation cases, to continuously analyze the system’s operational state and accurately describe the energy flow process response to disturbances.
Key wordsHolomorphic embedding method    energy flow calculation    dynamic simulation    recursive computation   
收稿日期: 2024-01-29     
PACS: TM743  
通讯作者: 滕佳伦 男,1999年生,硕士研究生,研究方向为综合能源系统优化。E-mail: tengjia7un@163.com   
作者简介: 李宏仲 男,1977年生,副教授,研究方向为综合能源系统规划、配电网承载能力评估等。E-mail: lhz_ab@263.net
引用本文:   
李宏仲, 滕佳伦. 基于全纯嵌入的电热综合能源系统动态能流计算方法[J]. 电工技术学报, 2025, 40(4): 1254-1267. Li Hongzhong, Teng Jialun. Dynamic Energy Flow Calculation Method of Integrated Heat and Electricity Systems Based on Holomorphic Embedding. Transactions of China Electrotechnical Society, 2025, 40(4): 1254-1267.
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