Abstract:In order to improve the integrated energy system's ability to absorb new energy and explore the relationship between different optimization objectives. In this paper, the scheduling problem of the integrated electric-heat system with virtual energy storage is decomposed into the standby formulation problem and the new energy consumption optimal operation problem considering the opportunity constraints, and a multi-objective optimization model of the integrated electric-heat system is constructed, which simultaneously takes into account the economy, low carbon and comprehensive energy efficiency improvement. A bilinear Benders distributed computing framework is proposed to improve the solving efficiency by introducing the approximate chance constraints of multiple scenarios and scenario indicator variables. The original problem is decomposed into the main problem and several sub-problems for iterative solving. The normal boundary crossing method is used to obtain Pareto frontier. Example analysis shows that compared with the centralized algorithm, the solution speed of the proposed algorithm is significantly improved. The model considering the constraints of new energy consumption opportunities can balance the economy and robustness of operation by adjusting the confidence degree during scheduling. Meanwhile, virtual energy storage can adjust the charging and discharging power of the heat supply network according to the output of the new energy department, further improving the absorbing capacity of new energy and reducing the operating cost. Finally, the influence of different optimization goals of economy, low carbon and energy efficiency is analyzed by solving the Pareto frontier. First, the integrated electric-heat system standby optimal scheduling model based on opportunity constraints is proposed. The model includes the start-stop and climb constraints of generator sets, CHP units and EB units, as well as the charge and discharge constraints of electric energy storage and capacity constraints. At the same time, the virtual energy storage characteristics of heat supply network and its mass flow regulation mode are considered, and new energy opportunity constraints are constructed to cope with system uncertainties, so as to obtain a day-ahead backup plan that can balance conservatism and economy. Secondly, the problem is divided into the standby formulation problem and the optimal operation problem, in which the chance constraint is transformed into bilinear form by scenarioization. In order to solve the problem that the charge and discharge constraints of electric energy storage cannot generate Benders cuts, the integer cycle comparison strategy in the bilinear Benders method is adopted to achieve the global optimal. At the same time, a parallel framework supporting distributed computing is proposed to improve the solving efficiency. Finally, from the perspective of the integrated electric-heat system optimal operation, this paper establishes a multi-objective optimization model that takes into account the economy, low carbon and comprehensive energy efficiency improvement of the integrated electric-heat system, and uses the normal boundary crossing method to solve it, and analyzes the restrictive relationship between the three objectives. Finally, a numerical example is given to verify the effectiveness of the proposed method.
林雨眠, 熊厚博, 张笑演, 林雨洁, 郭创新. 计及新能源机会约束与虚拟储能的电-热系统分布式多目标优化调度[J]. 电工技术学报, 2024, 39(16): 5042-5059.
Lin Yumian, Xiong Houbo, Zhang Xiaoyan, Lin Yujie, Guo Chuangxin. Distributed Multi-Objective Optimal Scheduling of Integrated Electric-Heat System Considering Chance Constraint of New Energy and Virtual Storage. Transactions of China Electrotechnical Society, 2024, 39(16): 5042-5059.
[1] Chen Yanbo, Yao Yuan, Zhang Ying.A robust state estimation method based on SOCP for integrated electricity-heat system[J]. IEEE Transactions on Smart Grid, 2021, 12(1): 810-820. [2] 张帅, 刘文霞, 张艺伟, 等. 计及多重热惯性特征的区域综合能源系统可靠性评估[J]. 电工技术学报, 2023, 38(12): 3289-3305. Zhang Shuai, Liu Wenxia, Zhang Yiwei, et al.Reliability assessment of regional integrated energy system considering with multiple thermal inertia characteristics[J]. Transactions of China Electrotechnical Society, 2023, 38(12): 3289-3305. [3] 张磊, 罗毅, 罗恒恒, 等. 基于集中供热系统储热特性的热电联产机组多时间尺度灵活性协调调度[J]. 中国电机工程学报, 2018, 38(4): 985-998, 1275. Zhang Lei, Luo Yi, Luo Hengheng, et al.Scheduling of integrated heat and power system considering multiple time-scale flexibility of CHP unit based on heat characteristic of DHS[J]. Proceedings of the CSEE, 2018, 38(4): 985-998, 1275. [4] 丁煜蓉, 陈红坤, 吴军, 等. 计及综合能效的电-气-热综合能源系统多目标优化调度[J]. 电力系统自动化, 2021, 45(2): 64-73. Ding Yurong, Chen Hongkun, Wu Jun, et al.Multi-objective optimal dispatch of electricity-gas-heat integrated energy system considering comprehensive energy efficiency[J]. Automation of Electric Power Systems, 2021, 45(2): 64-73. [5] 盛四清, 吴昊, 顾清, 等. 含碳捕集装置的电气综合能源系统低碳经济运行[J]. 电测与仪表, 2021, 58(6): 82-90. Sheng Siqing, Wu Hao, Gu Qing, et al.Low-carbon economic operation of integrated electricity and natural gas system with carbon capture devices[J]. Electrical Measurement & Instrumentation, 2021, 58(6): 82-90. [6] 侯慧, 刘鹏, 黄亮, 等. 考虑不确定性的电-热-氢综合能源系统规划[J]. 电工技术学报, 2021, 36(增刊1): 133-144. Hou Hui, Liu Peng, Huang Liang, et al.Planning of electricity-heat-hydrogen integrated energy system considering uncertainties[J]. Transactions of China Electrotechnical Society, 2021, 36(S1): 133-144. [7] 徐玉琴, 方楠. 基于分段线性化与改进二阶锥松弛的电-气互联系统多目标优化调度[J]. 电工技术学报, 2022, 37(11): 2800-2812. Xu Yuqin, Fang Nan.Multi objective optimal scheduling of integrated electricity-gas system based on piecewise linearization and improved second order cone relaxation[J]. Transactions of China Electrotechnical Society, 2022, 37(11): 2800-2812. [8] Qiu Feng, Wang Jianhui.Chance-constrained transmission switching with guaranteed wind power utilization[J]. IEEE Transactions on Power Systems, 2015, 30(3): 1270-1278. [9] Yang Lun, Xu Yinliang, Sun Hongbin, et al.Tractable convex approximations for distributionally robust joint chance-constrained optimal power flow under uncertainty[J]. IEEE Transactions on Power Systems, 2022, 37(3): 1927-1941. [10] 马瑞, 金艳, 刘鸣春. 基于机会约束规划的主动配电网分布式风光双层优化配置[J]. 电工技术学报, 2016, 31(3): 145-154. Ma Rui, Jin Yan, Liu Mingchun.Bi-level optimal configuration of distributed wind and photovoltaic generations in active distribution network based on chance constrained programming[J]. Transactions of China Electrotechnical Society, 2016, 31(3): 145-154. [11] 马丽叶, 王志强, 陆肖宇, 等. 基于机会约束规划的风-火-蓄联合系统优化调度[J]. 电网技术, 2019, 43(9): 3311-3320. Ma Liye, Wang Zhiqiang, Lu Xiaoyu, et al.Optimal scheduling of combined wind-thermo-storage system based on chance constrained programming[J]. Power System Technology, 2019, 43(9): 3311-3320. [12] 金国彬, 潘狄, 陈庆, 等. 考虑源荷不确定性的直流配电网模糊随机日前优化调度[J]. 电工技术学报, 2021, 36(21): 4517-4528. Jin Guobin, Pan Di, Chen Qing, et al.Fuzzy random day-ahead optimal dispatch of DC distribution network considering the uncertainty of source-load[J]. Transactions of China Electrotechnical Society, 2021, 36(21): 4517-4528. [13] 罗超, 杨军, 孙元章, 等. 考虑备用容量优化分配的含风电电力系统动态经济调度[J]. 中国电机工程学报, 2014, 34(34): 6109-6118. Luo Chao, Yang Jun, Sun Yuanzhang, et al.Dynamic economic dispatch of wind integrated power system considering optimal scheduling of reserve capacity[J]. Proceedings of the CSEE, 2014, 34(34): 6109-6118. [14] Li Pan, Jin Baihong, Wang Dai, et al.Distribution system voltage control under uncertainties using tractable chance constraints[J]. IEEE Transactions on Power Systems, 2019, 34(6): 5208-5216. [15] 蔡瑶, 卢志刚, 潘尧等. 计及多重差异的交直流混合多能微网多时间尺度优化调度[J]. 电工技术学报, 2024, 39(11): 3392-3410. Cai Yao, Lu Zhigang, Pan Yao, et al.Multi-time-scale optimal scheduling of AC-DC hybrid multi-energy microgrid considering multiple differences[J]. Transactions of China Electrotechnical Society, 2024, 39(11): 3392-3410. [16] 刘威, 张亚超, 谢仕炜. 计及跨区备用共享的多区域电热联合系统分布式协同优化调度[J]. 电网技术, 2022, 46(8): 3203-3217. Liu Wei, Zhang Yachao, Xie Shiwei.Distributed coordinated optimal scheduling of multi-regional combined heat and power system considering cross-regional reserve sharing[J]. Power System Technology, 2022, 46(8): 3203-3217. [17] Cai Sheng, Zhang Menglin, Xie Yunyun, et al.Hybrid stochastic-robust service restoration for wind power penetrated distribution systems considering subsequent random contingencies[J]. IEEE Transactions on Smart Grid, 2022, 13(4): 2859-2872. [18] 王明军, 穆云飞, 孟宪君, 等. 考虑热能输运动态特性的电-热综合能源系统优化调度方法[J]. 电网技术, 2020, 44(1): 132-142. Wang Mingjun, Mu Yunfei, Meng Xianjun, et al.Optimal scheduling method for integrated electro-thermal energy system considering heat transmission dynamic characteristics[J]. Power System Technology, 2020, 44(1): 132-142. [19] 杨秀, 汤金璋, 刘方等. 流量自适应方式下考虑热管道虚拟储能的电热能源系统优化调度[J]. 中国电机工程学报, 2023, 43(21): 8318-8332. Yang Xiu, Tang Jinzhang, Liu Fang, et al.Optimal scheduling of electrothermal integrated energy system considering virtual energy storage of thermal pipelines in flow adaptive mode[J]. Proceedings of the CSEE, 2023, 43(21): 8318-8332. [20] Li Zhigang, Wu Wenchuan, Shahidehpour M, et al.Combined heat and power dispatch considering pipeline energy storage of district heating network[J]. IEEE Transactions on Sustainable Energy, 2016, 7(1): 12-22. [21] 张笑演, 熊厚博, 王楚通, 等. 基于最优出力区间和碳交易的园区综合能源系统灵活经济调度[J]. 电力系统自动化, 2022, 46(16): 72-83. Zhang Xiaoyan, Xiong Houbo, Wang Chutong, et al.Flexible economic dispatching of park-level integrated energy system based on optimal power output interval and carbon trading[J]. Automation of Electric Power Systems, 2022, 46(16): 72-83. [22] Xiong Houbo, Yan Mingyu, Guo Chuangxin, et al.DP based multi-stage ARO for coordinated scheduling of CSP and wind energy with tractable storage scheme: tight formulation and solution technique[J]. Applied Energy, 2023, 333: 120578. [23] 顾伟, 陆帅, 王珺, 等. 多区域综合能源系统热网建模及系统运行优化[J]. 中国电机工程学报, 2017, 37(5): 1305-1316. Gu Wei, Lu Shuai, Wang Jun, et al.Modeling of the heating network for multi-district integrated energy system and its operation optimization[J]. Proceedings of the CSEE, 2017, 37(5): 1305-1316. [24] 陈乾, 张沈习, 程浩忠, 等. 计及热网蓄热特性的多区域综合能源系统多元储能规划[J]. 中国电机工程学报, 2023, 43(15): 5890-5903. Chen Qian, Zhang Shenxi, Cheng Haozhong, et al.Multiple energy storage planning of multi-district integrated energy system considering heat storage characteristics of heat network[J]. Proceedings of the CSEE, 2023, 43(15): 5890-5903. [25] Lu Shuai, Gu Wei, Zhang Cuo, et al.Hydraulic-thermal cooperative optimization of integrated energy systems: a convex optimization approach[J]. IEEE Transactions on Smart Grid, 2020, 11(6): 4818-4832. [26] Yang Jingwei, Zhang Ning, Botterud A, et al.On an equivalent representation of the dynamics in district heating networks for combined electricity-heat operation[J]. IEEE Transactions on Power Systems, 2020, 35(1): 560-570. [27] Gu Wei, Wang Jun, Lu Shuai, et al.Optimal operation for integrated energy system considering thermal inertia of district heating network and buildings[J]. Applied Energy, 2017, 199: 234-246. [28] 吕小秀, 李培强, 刁涵彬, 等. 能量与备用市场主体自调度的电热综合能源系统优化[J]. 电力系统及其自动化学报, 2022, 34(3): 132-141, 150. Lü Xiaoxiu, Li Peiqiang, Diao Hanbin, et al.Optimization of integrated electric and heating energy system with self-dispatching by energy and reserve market players[J]. Proceedings of the CSU-EPSA, 2022, 34(3): 132-141, 150. [29] Zeng Bo, An Yu, Kuznia L. Chance constrained mixed integer program: bilinear and linear formulations,benders decomposition[EB/OL]. ArXiv, 2014: 1403. 7875. https://arxiv.org/abs/1403.7875. [30] Wang Qianfan, Guan Yongpei, Wang Jianhui.A chance-constrained two-stage stochastic program for unit commitment with uncertain wind power output[C]//2012 IEEE Power and Energy Society General Meeting, San Diego, CA, USA, 2012: 1. [31] Zhao Chaoyue, Wang Qianfan, Wang Jianhui, et al.Expected value and chance constrained stochastic unit commitment ensuring wind power utilization[J]. IEEE Transactions on Power Systems, 2014, 29(6): 2696-2705. [32] Zhang Yao, Wang Jianxue, Zeng Bo, et al.Chance-constrained two-stage unit commitment under uncertain load and wind power output using bilinear benders decomposition[J]. IEEE Transactions on Power Systems, 2017, 32(5): 3637-3647. [33] McCormick G P. Computability of global solutions to factorable nonconvex programs: part I—convex underestimating problems[J]. Mathematical Programming, 1976, 10(1): 147-175. [34] Roman C, Rosehart W.Evenly distributed Pareto points in multi-objective optimal power flow[J]. IEEE Transactions on Power Systems, 2006, 21(2): 1011-1012. [35] 王瑾然, 卫志农, 张勇, 等. 计及不确定性的区域综合能源系统日前多目标优化调度[J]. 电网技术, 2018, 42(11): 3496-3506. Wang Jinran, Wei Zhinong, Zhang Yong, et al.Multi-objective optional day-ahead dispatching for regional integrated energy system considering uncertainty[J]. Power System Technology, 2018, 42(11): 3496-3506. [36] Lin Shunjiang, Liu Mingbo, Li Qifeng, et al.Normalised normal constraint algorithm applied to multi-objective security-constrained optimal generation dispatch of large-scale power systems with wind farms and pumped-storage hydroelectric stations[J]. IET Generation, Transmission & Distribution, 2017, 11(6): 1539-1548. [37] 夏洪伟, 李坤, 韩丽. 考虑风电预测误差的电-热系统混合时间尺度调度[J]. 电力系统保护与控制, 2022, 50(17): 86-96. Xia Hongwei, Li Kun, Han Li.Hybrid time-scale dispatch of an electric-heating system considering wind power forecast error[J]. Power System Protection and Control, 2022, 50(17): 86-96. [38] 刁涵彬, 李培强, 王继飞, 等. 考虑电/热储能互补协调的综合能源系统优化调度[J]. 电工技术学报, 2020, 35(21): 4532-4543. Diao Hanbin, Li Peiqiang, Wang Jifei, et al.Optimal dispatch of integrated energy system considering complementary coordination of electric/thermal energy storage[J]. Transactions of China Electrotechnical Society, 2020, 35(21): 4532-4543. [39] 国家质量监督检验检疫总局, 中国国家标准化管理委员会. 综合能耗计算通则: GB/T 2589—2008[S]. 北京: 中国标准出版社, 2008.