一方面,为提高主动配电网供电恢复过程中的孤岛运行模式的供电可靠性,另一方面,为充分协调调压设备和网络重构以提高电能质量,本文综合考虑调压设备、微电网、网络重构等作用,建立基于混合整数线性规划(mixed integer linear programmin...一方面,为提高主动配电网供电恢复过程中的孤岛运行模式的供电可靠性,另一方面,为充分协调调压设备和网络重构以提高电能质量,本文综合考虑调压设备、微电网、网络重构等作用,建立基于混合整数线性规划(mixed integer linear programming,MILP)模型的主动配电网供电恢复模型。该模型以开关操作的动作成本、电压调节设备的调节成本、失负荷成本组成的总成本为目标,以线性化潮流约束、DG模型、ZIP负荷模型、电压调节设备模型等为约束条件,建立了主动配电网供电恢复优化的MILP模型。在53节点配电系统的仿真结果验证了电压调节设备控制和微电网对配电网供电恢复的改善作用。展开更多
Oil depots along products pipelines are important components of the pipeline transportation system and down-stream markets.The operating costs of oil depots account for a large proportion of the total system’s operat...Oil depots along products pipelines are important components of the pipeline transportation system and down-stream markets.The operating costs of oil depots account for a large proportion of the total system’s operating costs.Meanwhile,oil depots and pipelines form an entire system,and each operation in a single oil depot may have influence on others.It is a tough job to make a scheduling plan when considering the factors of delivering contaminated oil and batches migration.So far,studies simultaneously considering operating constraints and contaminated oil issues are rare.Aiming at making a scheduling plan with the lowest operating costs,the paper establishes a mixed-integer linear programming model,considering a sequence of operations,such as delivery, export, blending,fractionating and exchanging operations,and batch property differences of the same oil as well as influence of batch migration on contaminated volume.Moreover,the paper verifies the linear relationship between oil concentration and blending capability by mathematical deduction.Finally,the model is successfully applied to one of the product pipelines in China and proved to be practical.展开更多
In contrast to most existing works on robust unit commitment(UC),this study proposes a novel big-M-based mixed-integer linear programming(MILP)method to solve security-constrained UC problems considering the allowable...In contrast to most existing works on robust unit commitment(UC),this study proposes a novel big-M-based mixed-integer linear programming(MILP)method to solve security-constrained UC problems considering the allowable wind power output interval and its adjustable conservativeness.The wind power accommodation capability is usually limited by spinning reserve requirements and transmission line capacity in power systems with large-scale wind power integration.Therefore,by employing the big-M method and adding auxiliary 0-1 binary variables to describe the allowable wind power output interval,a bilinear programming problem meeting the security constraints of system operation is presented.Furthermore,an adjustable confidence level was introduced into the proposed robust optimization model to decrease the level of conservatism of the robust solutions.This can establish a trade-off between economy and security.To develop an MILP problem that can be solved by commercial solvers such as CPLEX,the big-M method is utilized again to represent the bilinear formulation as a series of linear inequality constraints and approximately address the nonlinear formulation caused by the adjustable conservativeness.Simulation studies on a modified IEEE 26-generator reliability test system connected to wind farms were performed to confirm the effectiveness and advantages of the proposed method.展开更多
为研究City-Climber爬壁机器人在3D建筑物环境中的路径规划问题,基于混合整数线性规划(MILP,Mixed Integer Linear Programming),提出了一种适用于City-Climber的路径规划方法.为了用MILP方法解决避障问题,首先用限制机器人控制输入的...为研究City-Climber爬壁机器人在3D建筑物环境中的路径规划问题,基于混合整数线性规划(MILP,Mixed Integer Linear Programming),提出了一种适用于City-Climber的路径规划方法.为了用MILP方法解决避障问题,首先用限制机器人控制输入的方法对City-Climber的数学模型进行解耦和线性化,再介绍了用MILP方法对控制输入进行描述的数学表达式,并提出了适用于爬壁机器人的新型代价函数,最后以一个方形房间为运动环境,用AMPL和CPLEX优化软件,以及Matlab软件解算路径规划问题.仿真结果表明:MILP方法较好地解决了City-Climber在3D环境下的路径规划和避障问题.展开更多
针对电子废弃物逆向物流网络特点,从整体逆向物流选址优化角度,分析并确定了网络成本最优化混合整数线性规划(Mixed-Integer Linear Programming,MILP)模型.考虑废弃物的回收成本、处理成本、处理规模、经处理后碎片的销售收入、政府补...针对电子废弃物逆向物流网络特点,从整体逆向物流选址优化角度,分析并确定了网络成本最优化混合整数线性规划(Mixed-Integer Linear Programming,MILP)模型.考虑废弃物的回收成本、处理成本、处理规模、经处理后碎片的销售收入、政府补贴,以及由于专业分工所带来的在不同拆解处理厂间及不同粉碎处理厂间的物料流动,可以灵活支持子网络内各个企业间物流活动.此外模型支持多种类型的电子废弃物的输入,以及经处理后产生的多种不同的物料碎片的输出,帮助优化电子废弃物逆向物流网络中的选址和物料分配等问题.展开更多
文摘一方面,为提高主动配电网供电恢复过程中的孤岛运行模式的供电可靠性,另一方面,为充分协调调压设备和网络重构以提高电能质量,本文综合考虑调压设备、微电网、网络重构等作用,建立基于混合整数线性规划(mixed integer linear programming,MILP)模型的主动配电网供电恢复模型。该模型以开关操作的动作成本、电压调节设备的调节成本、失负荷成本组成的总成本为目标,以线性化潮流约束、DG模型、ZIP负荷模型、电压调节设备模型等为约束条件,建立了主动配电网供电恢复优化的MILP模型。在53节点配电系统的仿真结果验证了电压调节设备控制和微电网对配电网供电恢复的改善作用。
基金part of the Program of ‘‘Study of the mechanism of complex heat and mass transfer during batch transport process in product pipelines’’ funded under the National Natural Science Foundation of China, Grant Number 51474228
文摘Oil depots along products pipelines are important components of the pipeline transportation system and down-stream markets.The operating costs of oil depots account for a large proportion of the total system’s operating costs.Meanwhile,oil depots and pipelines form an entire system,and each operation in a single oil depot may have influence on others.It is a tough job to make a scheduling plan when considering the factors of delivering contaminated oil and batches migration.So far,studies simultaneously considering operating constraints and contaminated oil issues are rare.Aiming at making a scheduling plan with the lowest operating costs,the paper establishes a mixed-integer linear programming model,considering a sequence of operations,such as delivery, export, blending,fractionating and exchanging operations,and batch property differences of the same oil as well as influence of batch migration on contaminated volume.Moreover,the paper verifies the linear relationship between oil concentration and blending capability by mathematical deduction.Finally,the model is successfully applied to one of the product pipelines in China and proved to be practical.
基金State Grid Jiangsu Electric Power Co.,Ltd(JF2020001)National Key Technology R&D Program of China(2017YFB0903300)State Grid Corporation of China(521OEF17001C).
文摘In contrast to most existing works on robust unit commitment(UC),this study proposes a novel big-M-based mixed-integer linear programming(MILP)method to solve security-constrained UC problems considering the allowable wind power output interval and its adjustable conservativeness.The wind power accommodation capability is usually limited by spinning reserve requirements and transmission line capacity in power systems with large-scale wind power integration.Therefore,by employing the big-M method and adding auxiliary 0-1 binary variables to describe the allowable wind power output interval,a bilinear programming problem meeting the security constraints of system operation is presented.Furthermore,an adjustable confidence level was introduced into the proposed robust optimization model to decrease the level of conservatism of the robust solutions.This can establish a trade-off between economy and security.To develop an MILP problem that can be solved by commercial solvers such as CPLEX,the big-M method is utilized again to represent the bilinear formulation as a series of linear inequality constraints and approximately address the nonlinear formulation caused by the adjustable conservativeness.Simulation studies on a modified IEEE 26-generator reliability test system connected to wind farms were performed to confirm the effectiveness and advantages of the proposed method.
文摘为研究City-Climber爬壁机器人在3D建筑物环境中的路径规划问题,基于混合整数线性规划(MILP,Mixed Integer Linear Programming),提出了一种适用于City-Climber的路径规划方法.为了用MILP方法解决避障问题,首先用限制机器人控制输入的方法对City-Climber的数学模型进行解耦和线性化,再介绍了用MILP方法对控制输入进行描述的数学表达式,并提出了适用于爬壁机器人的新型代价函数,最后以一个方形房间为运动环境,用AMPL和CPLEX优化软件,以及Matlab软件解算路径规划问题.仿真结果表明:MILP方法较好地解决了City-Climber在3D环境下的路径规划和避障问题.
文摘针对电子废弃物逆向物流网络特点,从整体逆向物流选址优化角度,分析并确定了网络成本最优化混合整数线性规划(Mixed-Integer Linear Programming,MILP)模型.考虑废弃物的回收成本、处理成本、处理规模、经处理后碎片的销售收入、政府补贴,以及由于专业分工所带来的在不同拆解处理厂间及不同粉碎处理厂间的物料流动,可以灵活支持子网络内各个企业间物流活动.此外模型支持多种类型的电子废弃物的输入,以及经处理后产生的多种不同的物料碎片的输出,帮助优化电子废弃物逆向物流网络中的选址和物料分配等问题.
文摘为提升自动化集装箱码头的作业效率,减轻码头吞吐量增大带来的交通问题,降低自动化导引小车(Automated Guided Vehicle,AGV)的空载率,在自动化集装箱码头应用可以同时搬运不止一个集装箱的多载AGV,建立多载AGV调度问题的混合整数线性规划(Mixed-Integer Linear Programming,MILP)模型,应用遗传算法进行求解.借助算例,对比遗传算法与MILP算法的求解效果,分析交叉概率和变异概率对遗传算法的影响,比较多载AGV与单载AGV的作业时间,验证遗传算法的可靠性.该方法表明,遗传算法不仅求解效率高,而且对MILP算法不适用的大、中型多载AGV调度问题,也能给出值得信赖的近似最优解.
