基于幂级数系数分向传递的递归型电气热多能流算法  

Recursive Multi-energy Flow Algorithm for Electricity-gas-heat Based on Bidirectional Transmission of Power Series Coefficients

作　　者：陈飞雄 王海龙[1] 邵振国[1] 吴鸿斌 张河 陈冰[1] CHEN Feixiong;WANG Hailong;SHAO Zhenguo;WU Hongbin;ZHANG He;CHEN Bing(Key Laboratory of Energy Digitalization(Fuzhou University),Fuzhou 350108,Fujian Province,China)

机构地区：[1]数字能源福建省高校重点实验室(福州大学),福建省福州市350108

出　　处：《电网技术》2024年第9期3624-3633,I0027,I0028-I0031,共15页Power System Technology

基　　金：国家自然科学基金项目(52107080)。

摘　　要：多能流计算是综合能源系统(integrated energy system,IES)分析和优化的基础。在各能源网络运营主体交互信息有限的背景下,为提升多能流计算的收敛性和计算效率,提出一种基于幂级数系数分向传递的递归型电-气-热多能流算法。首先,分别建立电、气、热能源系统的全纯嵌入能流模型;其次,分析全纯嵌入法在多能流计算中的递归求解原理,将幂级数系数的传递划分为横向传递与纵向传递两类,建立可分向传递求解的电-气-热IES全纯嵌入多能流模型;接着,推导各全纯嵌入状态量的幂级数系数递归关系,通过幂级数系数的分向传递,递归求取状态量的幂级数系数,实现电-气-热多能流求解;最后,算例结果表明,所提方法能够以少量的交互信息实现多能流计算,具有更优的收敛性能和计算效率。Multi-energy flow calculation is the foundation for integrated energy system analysis and optimal operation.In the context of limited interaction information among network operation entities,a novel recursive electricity-gas-heat multi-energy flow algorithm is proposed.The proposed algorithm is based on the bidirectional transmission of power series coefficients,aims to boost both convergence and computational efficiency.First,the holomorphic embedding energy flow models of electricity,gas,and heat energy systems are established respectively.Second,the recursive solver principle of the holomorphic embedding method in multi-energy flow calculation is analyzed.It notes that the transmission of power series coefficients can be divided into two categories:horizontal transmission and vertical transmission.Therefore,a holomorphic embedding multi-energy flow model that can be solved by bidirectional transmission is established.Subsequently,the recursive relationship for the coefficients of the power series in each holomorphic embedding state quantity is derived.The power series coefficients of each state quantity to be solved are recursively obtained through bidirectional transmission,enabling the joint solution of electricity-gas-heat multi-energy flow.Finally,the results demonstrate the feasibility of the proposed algorithm.The proposed algorithm calculates the multi-energy flow based on a small amount of interaction information with better convergence and computational efficiency.

关 键 词：综合能源系统 多能流计算 全纯嵌入 分向传递 递归计算 

分 类 号：TM721[电气工程—电力系统及自动化]