中国电机工程学报2026，Vol.46Issue(7)：2882-2899,中插20,19.DOI:10.13334/j.0258-8013.pcsee.242447
综合能源系统概率能量流的多胚解-多维全纯嵌入计算方法
Multi-germ and Multi-dimensional Holomorphic Embedding Method for Probabilistic Energy Flow of Integrated Energy System
摘要
Abstract
Multi-dimensional holomorphic embedding method(MDHEM)is a new method for solving the energy flow of integrated energy systems(IES).This method boasts two key advantages:freedom from initial value dependence and non-singularity of the Jacobian matrix.However,it faces notable challenges in probabilistic energy flow(PEF)calculations,particularly the requirement for high-order power series expansions and the resulting heavy computational burden.In order to address the above issues,this paper proposes a multi-germ solution and multi-dimensional holomorphic embedding method(MG-MDHEM)to calculate the PEF of IES via the semi-analytical solution characteristics of HEM.Firstly,the MDHEM-based energy flow model of IES is formulated.Then,the fluctuation range of the multidimensional stochastic inputs in IES is divided into multiple subintervals,and physical solutions of MDHEM in each subinterval are set up.In each subinterval,the low-order semi-analytical solution expressions for the variables can be recursively obtained.Further,for the stochastic samples obtained by Monte Carlo simulation,the samples are preprocessed and substituted into the low-order semi-analytical solutions of the variables in the subintervals,and the Pade approximation is used to solve the low-order semi-analytical formulations using parallel multi-dimensional difference methods to achieve the energy flow result of IES in each sample,and the probability distribution of PEF for the IES is hereby obtained using the energy flow calculation results of Monte Carlo simulation.Finally,the accuracy and effectiveness of the proposed method are proved by the energy flow calculation results of the E14-G6 and E118-G20 test systems.关键词
综合能源系统/多胚解-多维全纯嵌入法/概率能量流/多元商差法并行计算/不确定性Key words
integrated energy system/multi-germ solution and multi-dimensional holomorphic embedding method/probabilistic energy flow/parallel computation of multivariate quotient difference method/uncertainty分类
信息技术与安全科学引用本文复制引用
李雪,李栋,姜涛,李国庆..综合能源系统概率能量流的多胚解-多维全纯嵌入计算方法[J].中国电机工程学报,2026,46(7):2882-2899,中插20,19.基金项目
吉林省自然科学基金项目(优秀青年基金项目)(20230101374JC).Natural Science Foundation of Jilin Province(Excellent Youth Fund Project)(20230101374JC). （优秀青年基金项目）
