非空图G的约束数b(G)是指使得图G的控制数γ(G)增大而删除的最少的边数.[Fischermann M,Rautenbach D,Volkmann L.Remarks on the bondage number of planar graphs.Discrete Math,2003,260:57-67]已经证明,对于一个围长为g(G)的平面图G...非空图G的约束数b(G)是指使得图G的控制数γ(G)增大而删除的最少的边数.[Fischermann M,Rautenbach D,Volkmann L.Remarks on the bondage number of planar graphs.Discrete Math,2003,260:57-67]已经证明,对于一个围长为g(G)的平面图G,如果g(G)≥4则b(G)≤6,如果g(G)≥5则b(G)≤5,如果g(G)≥6则b(G)≤4,如果g(G)≥8则b(G)≤3.我们把这个结果推广到连通的超环面图中.展开更多
This study proposes an alternative calculation mode for stresses on the slip surface(SS).The calculation of the normal stress(NS)on the SS involves examining its composition and expanding its unknown using the Taylor ...This study proposes an alternative calculation mode for stresses on the slip surface(SS).The calculation of the normal stress(NS)on the SS involves examining its composition and expanding its unknown using the Taylor series.This expansion enables the reasonable construction of a function describing the NS on the SS.Additionally,by directly incorporating the nonlinear Generalized Hoke-Brown(GHB)strength criterion and utilizing the slope factor of safety(FOS)definition,a function of the shear stress on the SS is derived.This function considers the mutual feedback mechanism between the NS and strength parameters of the SS.The stress constraints conditions are then introduced at both ends of the SS based on the spatial stress relation of one point.Determining the slope FOS and stress solution for the SS involves considering the mechanical equilibrium conditions and the stress constraint conditions satisfied by the sliding body.The proposed approach successfully simulates the tension-shear stress zone near the slope top and provides an intuitive description of the concentration effect of compression-shear stress of the SS near the slope toe.Furthermore,compared to other methods,the present method demonstrates superior processing capabilities for the embedded nonlinear GHB strength criterion.展开更多
随着可再生能源渗透率的不断提升,同时面对分散式源-荷-储协调优化需求,虚拟电厂(Virtual Power Plant,VPP)应运而生.但多主体代理的VPP如何协调运行是亟待解决的问题.为此提出了一种考虑双范数约束和纳什议价的多能虚拟电厂集群分布式...随着可再生能源渗透率的不断提升,同时面对分散式源-荷-储协调优化需求,虚拟电厂(Virtual Power Plant,VPP)应运而生.但多主体代理的VPP如何协调运行是亟待解决的问题.为此提出了一种考虑双范数约束和纳什议价的多能虚拟电厂集群分布式鲁棒优化策略.首先,针对多能VPP规划运行问题,通过双范数约束构建了多能VPP分布式鲁棒优化模型,其次以交互成本最小化为目标,通过纳什谈判理论来构建议价模型;最后对所提出的三个多能VPP进行算例分析,数据结果表明所提出的优化策略能够在确保各个VPP公平竞争前提下,提升其收益以及VPP集群的整体收益.展开更多
文摘非空图G的约束数b(G)是指使得图G的控制数γ(G)增大而删除的最少的边数.[Fischermann M,Rautenbach D,Volkmann L.Remarks on the bondage number of planar graphs.Discrete Math,2003,260:57-67]已经证明,对于一个围长为g(G)的平面图G,如果g(G)≥4则b(G)≤6,如果g(G)≥5则b(G)≤5,如果g(G)≥6则b(G)≤4,如果g(G)≥8则b(G)≤3.我们把这个结果推广到连通的超环面图中.
基金Project(52278380)supported by the National Natural Science Foundation of ChinaProject(2023JJ30670)supported by the National Science Foundation of and Technology Major Project of Hunan Province,China。
文摘This study proposes an alternative calculation mode for stresses on the slip surface(SS).The calculation of the normal stress(NS)on the SS involves examining its composition and expanding its unknown using the Taylor series.This expansion enables the reasonable construction of a function describing the NS on the SS.Additionally,by directly incorporating the nonlinear Generalized Hoke-Brown(GHB)strength criterion and utilizing the slope factor of safety(FOS)definition,a function of the shear stress on the SS is derived.This function considers the mutual feedback mechanism between the NS and strength parameters of the SS.The stress constraints conditions are then introduced at both ends of the SS based on the spatial stress relation of one point.Determining the slope FOS and stress solution for the SS involves considering the mechanical equilibrium conditions and the stress constraint conditions satisfied by the sliding body.The proposed approach successfully simulates the tension-shear stress zone near the slope top and provides an intuitive description of the concentration effect of compression-shear stress of the SS near the slope toe.Furthermore,compared to other methods,the present method demonstrates superior processing capabilities for the embedded nonlinear GHB strength criterion.
文摘随着可再生能源渗透率的不断提升,同时面对分散式源-荷-储协调优化需求,虚拟电厂(Virtual Power Plant,VPP)应运而生.但多主体代理的VPP如何协调运行是亟待解决的问题.为此提出了一种考虑双范数约束和纳什议价的多能虚拟电厂集群分布式鲁棒优化策略.首先,针对多能VPP规划运行问题,通过双范数约束构建了多能VPP分布式鲁棒优化模型,其次以交互成本最小化为目标,通过纳什谈判理论来构建议价模型;最后对所提出的三个多能VPP进行算例分析,数据结果表明所提出的优化策略能够在确保各个VPP公平竞争前提下,提升其收益以及VPP集群的整体收益.
