基于时域嵌入的电-气互联系统仿射动态能流算法  

Affine Dynamic Power Flow Algorithm for Electricity-gas Interconnected Systems Based on Time-domain Embedded

作　　者：陈飞雄 张河 邵振国[1] 吴鸿斌 胡昆熹 CHEN Feixiong;ZHANG He;SHAO Zhenguo;WU Hongbin;HU Kunxi(Key Laboratory of Energy Digitalization(Fuzhou University),Fujian Province 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：《中国电机工程学报》2025年第7期2594-2604,I0012,共12页PROCEEDINGS OF THE CHINESE SOCIETY FOR ELECTRICAL ENGINEERING

基　　金：国家自然科学基金项目(52107080);福建省自然科学基金项目(2021J05135)。

摘　　要：电-气互联系统是提高能源利用效率、实现能源清洁化利用的重要载体。在不确定性愈发复杂交错、影响日益增强的背景下,如何量化分析电-气动态传输过程中的不确定性传递成为亟待解决的问题。为此,提出基于时域嵌入的电-气互联系统仿射动态能流算法,揭示不确定因素对电-气互联系统动态过程的影响机理。首先,基于仿射算术表征不确定因素,构建电-气互联系统仿射动态能流模型;在此基础上,通过时域嵌入重构仿射微分方程组,将仿射微分方程组求解问题转换为能流状态量泰勒幂级数系数递归计算问题,进而递归求解得到仿射能流关于时间的显式表达式;接着,为提升计算效率并降低保守性,提出基于噪声元动态校正的多时段计算方法,获取连续时域的仿射动态能流分布。仿真结果验证所提算法能够从时间维度量化分析源荷不确定性的传递影响,具有精度高、保守度低与计算效率高等优势。The electricity-gas interconnection system plays an important role in enhancing energy efficiency and promoting cleaner energy utilization.As the impact of source-load uncertainty on electricity-gas transmission grows,it is crucial to quantitatively analyze the dynamic energy flow in this interconnected system under uncertainty.This study introduces an affine dynamic energy flow algorithm for the electricity-gas interconnection system based on time-domain embedded.Initially,an affine dynamic energy flow model is established based on uncertainties characterized by affine arithmetic.By embedding the time domain,the affine differential equations are transformed into a recursive computational problem,providing an explicit expression of the affine energy flow concerning time.To address the challenge of noise element superposition in multi-temporal computations and enhance efficiency,a method based on dynamic noise element correction is proposed.This technique yields the distribution of affine dynamic energy flow in continuous time.Simulation results validate the algorithm's ability to quantitatively analyze the transfer of source-load uncertainty over time,showcasing its high accuracy,low conservatism,and computational efficiency.

关 键 词：电-气互联系统 动态能流计算 仿射算术 全纯嵌入法 

分 类 号：TM74[电气工程—电力系统及自动化]