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基于改进逻辑Benders分解的电力交通耦合网络两阶段随机规划方法OA

A two-stage stochastic programming method for coupled power-transportation networks based on improved logic-based Benders decomposition

中文摘要英文摘要

在电力-交通一体化低碳发展的背景下,针对交通流不确定性导致的电力-交通协同优化决策难问题,提出了一种基于改进逻辑Benders分解的电力-交通耦合网络两阶段随机规划方法.首先,构建计及多源碳排放的两阶段随机规划模型,实现经济性与低碳性协同优化的充电站选址规划与耦合系统运行决策.然后,针对所建模型非线性、规模大、复杂难解的特征,提出基于改进逻辑 Benders 分解的两阶段随机规划高效求解方法.采用分段线性化等技术处理时间函数、碳排放模型等非线性约束,将模型重构为混合整数线性随机规划,并采用逻辑Benders分解算法进行求解.对算法启发式增强改进,提出基于流量贡献度的最优割强化机制与基于最小不可行集的可行割生成策略,以生成高质量割平面并有效提升计算效率.最后,基于算例仿真,验证所提方法有效性.

Against the background of integrated low-carbon development of power-transportation systems,traffic flow uncertainty poses challenges to coordinated optimization and decision-making.This paper proposes a two-stage stochastic programming method for coupled power-transportation networks based on an improved logic-based Benders decomposition.First,a two-stage stochastic model incorporating multi-source carbon emissions is developed to jointly optimize the economics and low-carbon performance of charging station location planning and coupled system operation.Then,to address the nonlinearity,large-scale,and computational complexity of the proposed model,an efficient solution method based on improved logic-based Benders decomposition is developed.Techniques such as piecewise linearization are employed to handle nonlinear constraints associated with travel-time functions and carbon-emission models,reformulating the problem as a mixed-integer linear stochastic programming model,which is subsequently solved using logic-based Benders decomposition.To further enhance the algorithm heuristically,a flow-contribution-based optimal-cut strengthening mechanism and a minimum-infeasible-set-based feasibility-cut generation strategy are proposed to generate high-quality cutting planes and improve computational efficiency.Finally,case studies demonstrate the effectiveness of the proposed method.

曾宪铭;李海啸;刁幸;解宝;王浩欢;包诗媛

重庆理工大学电气与电子工程学院,重庆 400054重庆理工大学电气与电子工程学院,重庆 400054招商局重庆交通科研设计院有限公司,重庆 400067合肥工业大学电气与自动化工程学院,安徽 合肥 230009招商局重庆交通科研设计院有限公司,重庆 400067重庆理工大学电气与电子工程学院,重庆 400054

电力-交通耦合网络改进逻辑Benders分解充电站选址规划两阶段随机规划

coupled power-transportation networksimproved logic-based Benders decompositioncharging station location planningtwo-stage stochastic programming

《电力系统保护与控制》 2026 (18)

108-119,12

This work is supported by the General Program of Natural Science Foundation of Chongqing(No.CSTB2025NSCQ-GPX0240). 重庆市自然科学基金面上项目资助(CSTB2025NSCQ-GPX0240)重庆市教委科学技术研究项目资助(KJQN202301166)

10.19783/j.cnki.pspc.260147

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