关苏敏,谭鋆,谭洪,杨奥,翁汉琍
GUAN Sumin,TAN Yun,TAN Hong,YANG Ao,WENG Hanli

• 1:中国长江电力股份有限公司
• 2:三峡大学电气与新能源学院

摘要(Abstract)：

针对多园区电氢综合能源系统在协同调度过程中存在的求解效率低、各园区主体分布式求解精度不足等问题，提出了一种基于等效投影理论的多园区电氢综合能源系统协同优化调度方法。首先，通过整合多种能流建立了考虑燃气掺氢的电氢综合能源系统调度模型，并提出了一种考虑氢能交互的多综合能源系统协同调度框架。其次，基于等效投影理论，将两阶段鲁棒模型等效为混合整数规划模型。随后利用对偶分解算法导出多综合能源系统的分布式求解结果，保证了收敛性和最优性。最后，算例分析表明，在园区级系统上所提等效投影法的计算效率比传统的两阶段鲁棒优化方法有了明显的提升，且所提对偶分解算法在非凸问题中表现出良好的收敛性与近似最优性。
To address the low solution efficiency and insufficient solution accuracy of distributed park entities in the coordinated scheduling of multi-park integrated electricity-hydrogen systems(IEHSs), a coordinated optimal scheduling method based on equivalent projection theory is proposed. First, with multiple energy carriers integrated, a scheduling model for an electricity-hydrogen integrated system considering hydrogen blending into natural gas is established, and a coordinated scheduling framework for multiple integrated energy systems with hydrogen energy interactions is developed. Second, based on equivalent projection theory, the two-stage robust optimization model is transformed into an equivalent mixed-integer programming(MIP) model. A dual decomposition algorithm is then employed to derive distributed solutions for the multiple integrated energy systems, ensuring convergence and optimality. Finally, case studies demonstrate that, at the park level, the proposed equivalent projection approach significantly improves computational efficiency compared with conventional two-stage robust optimization methods, while the proposed dual decomposition algorithm exhibits favorable convergence behavior and near-optimal performance for nonconvex problems.

关键词(KeyWords)： 园区综合能源系统;燃气掺氢;电氢耦合;等效投影;优化运行
park-level integrated energy system;hydrogen blending into natural gas;electricity-hydrogen coupling;equivalent projection;optimal operation

Abstract:

Keywords:

基金项目(Foundation): 湖北省自然科学基金计划项目（2024AFD350）

作者(Author): 关苏敏,谭鋆,谭洪,杨奥,翁汉琍
GUAN Sumin,TAN Yun,TAN Hong,YANG Ao,WENG Hanli

DOI: 10.19585/j.zjdl.202605006

参考文献(References)：

• [1]赵乐冰，王蕾，万灿，等.基于数据包络分析法的城市综合能源系统分环节能效评价[J].电力系统自动化，2022,46(17):132-141.ZHAO Lebing,WANG Lei,WAN Can,et al.Segmented energy efficiency evaluation of urban integrated energy system based on data envelopment analysis method[J].Automation of Electric Power Systems,2022,46(17):132-141.
• [2]陈勇，芮俊，肖雷鸣，等.基于动态主从博弈模型的综合能源系统碳交易方法[J].浙江电力，2024,43(4):51-62.CHEN Yong,RUI Jun,XIAO Leiming,et al. A carbon trading method for integrated energy systems based on a dynamic master-slave game model[J]. Zhejiang Electric Power,2024,43(4):51-62.
• [3]谭洪，张雅丽，关苏敏，等.含光伏光热制氢设备的园区综合能源系统低碳经济调度[J].浙江电力，2025,44(7):44-54.TAN Hong,ZHANG Yali,GUAN Sumin,et al. Lowcarbon economic dispatch of a park integrated energy system with PV/T-driven hydrogen production equipment[J].Zhejiang Electric Power,2025,44(7):44-54.
• [4]彭弘毅，晏鸣宇，周奕佳.基于降维投影的氢-电综合能源系统最优潮流[J].电力系统自动化，2025,49(7):169-178.PENG Hongyi,YAN Mingyu,ZHOU Yijia. Optimal power flow of integrated hydrogen-electricity energy system based on reduced-dimension projection[J]. Automation of Electric Power Systems,2025,49(7):169-178.
• [5]刘继春，周春燕，高红均，等.考虑氢能-天然气混合储能的电-气综合能源微网日前经济调度优化[J].电网技术，2018,42(1):170-178.LIU Jichun,ZHOU Chunyan,GAO Hongjun,et al.A dayahead economic dispatch optimization model of integrated electricity-natural gas system considering hydrogen-gas energy storage system in microgrid[J].Power System Technology,2018,42(1):170-178.
• [6]管文博，李基源，常馨月，等.基于自适应神经动力学算法的电-氢综合能源系统分布式能量管理方法[J].山东电力技术，2025,52(2):13-22.GUAN Wenbo,LI Jiyuan,CHANG Xinyue,et al.Distributed energy management method for electric-hydrogen integrated energy system based on adaptive neurodynamics algorithm[J]. Shandong Electric Power,2025,52(2):13-22.
• [7]闫振靖，李皓然，杨欣可，等.基于不确定性分析与电价波动的电—氢—热综合能源系统分析[J].高压电器，2024,60(7):69-77.YAN Zhenjing,LI Haoran,YANG Xinke,et al.Analysis of electric-hydrogen-thermal integrated energy system based on uncertainty analysis and electricity tariff fluctuation[J].High Voltage Apparatus,2024,60(7):69-77.
• [8]谭洪，王宇炜，王秋杰，等.基于氢能固态运输的电-氢综合能源系统双层调度模型[J].电工技术学报，2025,40(3):744-758.TAN Hong,WANG Yuwei,WANG Qiujie,et al. A bilevel dispatching model for electricity-hydrogen integrated energy system based on hydrogen solidity transport[J].Transactions of China Electrotechnical Society,2025,40(3):744-758.
• [9]陈明健，陈胜，王异成，等.考虑氢能绿证的电-氢综合能源系统机会约束优化调度[J].电力自动化设备，2023,43(12):206-213.CHEN Mingjian,CHEN Sheng,WANG Yicheng,et al.Chance constrained optimal scheduling of electrichydrogen integrated energy system considering green certificate of hydrogen energy[J].Electric Power Automation Equipment,2023,43(12):206-213.
• [10]罗潇，任洲洋，温紫豪，等.考虑氢能系统热回收的电氢区域综合能源系统日前优化运行[J].电工技术学报，2023,38(23):6359-6372.LUO Xiao,REN Zhouyang,WEN Zihao,et al. A dayahead dispatching method of regional integrated electrichydrogen energy systems considering the heat recycle of hydrogen systems[J].Transactions of China Electrotechnical Society,2023,38(23):6359-6372.
• [11]熊展，王素，王玲玲，等.考虑多能互补灵活性和用户低碳意愿的区域综合能源系统鲁棒优化调度[J].电网技术，2024,48(7):2691-2701.XIONG Zhan,WANG Su,WANG Lingling,et al.Robust optimal scheduling of regional integrated energy system considering multi-energy flexibility complementary and users'low-carbon willingness[J]. Power System Technology,2024,48(7):2691-2701.
• [12]赵明欣，丁保迪，吴一恒，等.基于保守度自适应优化的综合能源系统鲁棒灵活性评估[J].电网技术，2025,49(2):582-592.ZHAO Mingxin,DING Baodi,WU Yiheng,et al.Robust flexibility evaluation of integrated energy systems based on conservatism adaptive optimization[J]. Power System Technology,2025,49(2):582-592.
• [13]ZHOU H S,LI Z G,ZHENG J H,et al.Robust scheduling of integrated electricity and heating system hedging heating network uncertainties[J]. IEEE Transactions on Smart Grid,2020,11(2):1543-1555.
• [14]GAN W,YAN M Y,YAO W,et al.Decentralized computation method for robust operation of multi-area joint regional-district integrated energy systems with uncertain wind power[J].Applied Energy,2021,298:117280.
• [15]翟翔宇，李泽宁，薛屹洵，等.计及楼宇高度的电-热综合能源系统分布式能量管理策略[J].电网技术，2025,49(4):1606-1616.ZHAI Xiangyu,LI Zening,XUE Yixun,et al.Distributed energy management strategy for integrated electric-heat system considering building height[J]. Power System Technology,2025,49(4):1606-1616.
• [16]罗清局，朱继忠.基于多参数规划改进ADMM的线性电-气综合能源系统分布式优化调度[J/OL].电工技术学报，2023:1-13.(2023-10-18)[2025-08-23]. https：//doi.org/10.19595/j.cnki.1000-6753.tces.230292.LUO Qingju,ZHU Jizhong. Distributed optimal dispatch of linear integrated electricity and gas system based on multi-parameter programming modified ADMM[J/OL].Transactions of china electrotechnical society,2023:1-13.(2023-10-18)[2025-08-23]. https：//doi. org/10.19595/j.cnki.1000-6753.tces.230292.
• [17]孙胜博，饶尧，郭威，等.基于改进ADMM的含分布式光伏的配电网电压无功优化方法[J].太阳能学报，2024,45(3):506-516.SUN Shengbo,RAO Yao,GUO Wei,et al.Volt/var optimization method of distribution network with distributed photovoltaic based on improved admm[J].Acta Energiae Solaris Sinica,2024,45(3):506-516.
• [18]GAO H J,XU S,LIU Y B,et al.Decentralized optimal operation model for cooperative microgrids considering renewable energy uncertainties[J]. Applied Energy,2020,262:114579.
• [19]DE SANTOLI L,PAIOLO R,LO BASSO G. Energyenvironmental experimental campaign on a commercial CHP fueled with H2NG blends and oxygen enriched air hailing from on-site electrolysis[J]. Energy,2020,195:116820.
• [20]ZHANG Z N,FEDOROVICH K S.Optimal operation of multi-integrated energy system based on multi-level Nash multi-stage robust[J].Applied Energy,2024,358:122557.
• [21]QIU H F,VINOD A,LU S,et al.Decentralized mixedinteger optimization for robust integrated electricity and heat scheduling[J].Applied Energy,2023,350:121693.
• [22]FALSONE A,PRANDINI M. A distributed dual proximal minimization algorithm for constraint-coupled optimization problems[J].IEEE Control Systems Letters,2021,5(1):259-264.
• [23]FALSONE A,MARGELLOS K,PRANDINI M.A distributed iterative algorithm for multi-agent MILPs:finitetime feasibility and performance characterization[J].IEEE Control Systems Letters,2018,2(4):563-568.