In this paper, the nonlinear programming problem with quasimonotonic （ both quasiconvex and quasiconcave ）objective function and linear constraints is considered. With the decomposition theorem of polyhedral sets, t...In this paper, the nonlinear programming problem with quasimonotonic （ both quasiconvex and quasiconcave ）objective function and linear constraints is considered. With the decomposition theorem of polyhedral sets, the structure of optimal solution set for the programming problem is depicted. Based on a simplified version of the convex simplex method, the uniqueness condition of optimal solution and the computational procedures to determine all optimal solutions are given, if the uniqueness condition is not satisfied. An illustrative example is also presented.展开更多
An optimization model and its solution algorithm for alternate traffic restriction(ATR) schemes were introduced in terms of both the restriction districts and the proportion of restricted automobiles. A bi-level progr...An optimization model and its solution algorithm for alternate traffic restriction(ATR) schemes were introduced in terms of both the restriction districts and the proportion of restricted automobiles. A bi-level programming model was proposed to model the ATR scheme optimization problem by aiming at consumer surplus maximization and overload flow minimization at the upper-level model. At the lower-level model, elastic demand, mode choice and multi-class user equilibrium assignment were synthetically optimized. A genetic algorithm involving prolonging codes was constructed, demonstrating high computing efficiency in that it dynamically includes newly-appearing overload links in the codes so as to reduce the subsequent searching range. Moreover,practical processing approaches were suggested, which may improve the operability of the model-based solutions.展开更多
By using electric computer machine, via computation method, we obtained some important properties of alternating group A \{6\} as below: 1) A \{6 \} has 501 subgroups in total, and for each subgroup we give ...By using electric computer machine, via computation method, we obtained some important properties of alternating group A \{6\} as below: 1) A \{6 \} has 501 subgroups in total, and for each subgroup we give its generators; 2) the index of A \{6\}'s subgroup can only be 1,2,3,4,5,6,8,9,10,12,18,24,36,60,360; 3) all subgroups of A \{6\} are separated into 22 conjugate classes, and the subgroups contained in each class are listed.展开更多
在新能源环境下,负荷需求与新能源发电的不确定性对备用容量对提出了更高的要求,新能源与备用替代日益受到关注。根据电量不足期望值(expected energy not supplied,EENS)与备用容量的关系,确定了电力系统备用总量,并采用优先分配方式...在新能源环境下,负荷需求与新能源发电的不确定性对备用容量对提出了更高的要求,新能源与备用替代日益受到关注。根据电量不足期望值(expected energy not supplied,EENS)与备用容量的关系,确定了电力系统备用总量,并采用优先分配方式在多类型的发电机组中分配备用容量。基于EENS与运行成本,构建光伏发电系统替代火电机组的综合替代效益评价指标,以综合替代效益评价指标的数值最小化为目标函数,构建考虑光伏发电系统替代火电机组参与备用运行的电力系统备用容量优化模型。并用分段线性理论对具有二次特性的目标函数进行线性化处理,采用分支定界算法求解构建的非线性整数规划问题。以IEEE-30系统作为实例,计算结果表明,光伏发电系统替代火电机组参与备用运行,可以降低综合替代效益及备用容量。展开更多
考虑配电网不同区域之间的差异性与耦合性,提出一种基于区域解耦的时空双尺度电动汽车优化调度方法。首先,综合考虑分区的电气特性、生产生活特性以及电动汽车出行特性,提出一种新的基于图论法的配电网络分区方法;接着,提出一种时空双...考虑配电网不同区域之间的差异性与耦合性,提出一种基于区域解耦的时空双尺度电动汽车优化调度方法。首先,综合考虑分区的电气特性、生产生活特性以及电动汽车出行特性,提出一种新的基于图论法的配电网络分区方法;接着,提出一种时空双尺度的电动汽车分层调度方法。上层为时间尺度的调度,以最小化系统峰谷差和负荷方差为目标,通过优化调度得到配电网各时段的电动汽车最优充放电数目;下层为空间尺度的调度,结合上层优化结果,针对不同区域间电动汽车负荷的差异性,分别在商业区构建考虑充电站拥挤度的动态电价调度模型,在居民区和办公区构建考虑用户意愿指数的动态电价调度模型。最后,针对区域间复杂耦合性造成优化模型难以求解的问题,建立基于信赖域的改进乘子交替方向–序列二次规划(alternating direction method of multipliers-successive quadratic programming,ADMM-SQP)算法,并对各个区域的子模型解耦后并行求解。为验证所提方法的有效性,基于IEEE33节点构建仿真模型,结果表明,所提优化方法能够实现多个区域电动汽车的协调优化调度。展开更多
基金Supported by the Research Foundation of Jinan University(04SKZD01).
文摘In this paper, the nonlinear programming problem with quasimonotonic （ both quasiconvex and quasiconcave ）objective function and linear constraints is considered. With the decomposition theorem of polyhedral sets, the structure of optimal solution set for the programming problem is depicted. Based on a simplified version of the convex simplex method, the uniqueness condition of optimal solution and the computational procedures to determine all optimal solutions are given, if the uniqueness condition is not satisfied. An illustrative example is also presented.
基金Projects(71171200,51108465,71101155)supported by the National Natural Science Foundation of China
文摘An optimization model and its solution algorithm for alternate traffic restriction(ATR) schemes were introduced in terms of both the restriction districts and the proportion of restricted automobiles. A bi-level programming model was proposed to model the ATR scheme optimization problem by aiming at consumer surplus maximization and overload flow minimization at the upper-level model. At the lower-level model, elastic demand, mode choice and multi-class user equilibrium assignment were synthetically optimized. A genetic algorithm involving prolonging codes was constructed, demonstrating high computing efficiency in that it dynamically includes newly-appearing overload links in the codes so as to reduce the subsequent searching range. Moreover,practical processing approaches were suggested, which may improve the operability of the model-based solutions.
文摘By using electric computer machine, via computation method, we obtained some important properties of alternating group A \{6\} as below: 1) A \{6 \} has 501 subgroups in total, and for each subgroup we give its generators; 2) the index of A \{6\}'s subgroup can only be 1,2,3,4,5,6,8,9,10,12,18,24,36,60,360; 3) all subgroups of A \{6\} are separated into 22 conjugate classes, and the subgroups contained in each class are listed.
文摘在新能源环境下,负荷需求与新能源发电的不确定性对备用容量对提出了更高的要求,新能源与备用替代日益受到关注。根据电量不足期望值(expected energy not supplied,EENS)与备用容量的关系,确定了电力系统备用总量,并采用优先分配方式在多类型的发电机组中分配备用容量。基于EENS与运行成本,构建光伏发电系统替代火电机组的综合替代效益评价指标,以综合替代效益评价指标的数值最小化为目标函数,构建考虑光伏发电系统替代火电机组参与备用运行的电力系统备用容量优化模型。并用分段线性理论对具有二次特性的目标函数进行线性化处理,采用分支定界算法求解构建的非线性整数规划问题。以IEEE-30系统作为实例,计算结果表明,光伏发电系统替代火电机组参与备用运行,可以降低综合替代效益及备用容量。
文摘考虑配电网不同区域之间的差异性与耦合性,提出一种基于区域解耦的时空双尺度电动汽车优化调度方法。首先,综合考虑分区的电气特性、生产生活特性以及电动汽车出行特性,提出一种新的基于图论法的配电网络分区方法;接着,提出一种时空双尺度的电动汽车分层调度方法。上层为时间尺度的调度,以最小化系统峰谷差和负荷方差为目标,通过优化调度得到配电网各时段的电动汽车最优充放电数目;下层为空间尺度的调度,结合上层优化结果,针对不同区域间电动汽车负荷的差异性,分别在商业区构建考虑充电站拥挤度的动态电价调度模型,在居民区和办公区构建考虑用户意愿指数的动态电价调度模型。最后,针对区域间复杂耦合性造成优化模型难以求解的问题,建立基于信赖域的改进乘子交替方向–序列二次规划(alternating direction method of multipliers-successive quadratic programming,ADMM-SQP)算法,并对各个区域的子模型解耦后并行求解。为验证所提方法的有效性,基于IEEE33节点构建仿真模型,结果表明,所提优化方法能够实现多个区域电动汽车的协调优化调度。
