在计算线性供给函数均衡模型(linear supply function equilibrium,LSFE)的过程中,通常需要多次求解各发电商(generation company,GenCo)个体所对应的双层优化问题。提出采用分支定界方法求解计及输电约束的线性供给函数均衡问题。采用...在计算线性供给函数均衡模型(linear supply function equilibrium,LSFE)的过程中,通常需要多次求解各发电商(generation company,GenCo)个体所对应的双层优化问题。提出采用分支定界方法求解计及输电约束的线性供给函数均衡问题。采用分支剪支操作处理互补松弛约束,仅需要计算少量的子优化问题,就可以达到遍历所有系统松弛子模式的效果。通过3节点系统和IEEE30节点系统2个算例可以看出,所提算法具有很好的搜索效率,为求解大规模电力市场均衡问题提供了一条有效途径。展开更多
In order to determine the slip plane of slope directly by the calculation results of strength reduction method, and analyze the influential factors of slope stability, a numerical model was established in plane strain...In order to determine the slip plane of slope directly by the calculation results of strength reduction method, and analyze the influential factors of slope stability, a numerical model was established in plane strain mode by FLAC3D for homogeneous soil slope, whose parameters were reduced until the slope reached the critical state. Then FISH program was used to get the location data of slip plane from displacement contour lines. Furthermore, the method to determine multiple slip planes was also proposed by setting different heights of elastic areas. The influential factors for the stability were analyzed, including cohesion, internal friction angle, and tensile strength. The calculation results show that with the increase of cohesion, failure mode of slope changes from shallow slipping to the deep slipping, while inclination of slip plane becomes slower and slipping volume becomes larger; with the increase of friction angle, failure mode of slope changes from deep slipping to shallow slipping, while slip plane becomes steeper and upper border of slip plane comes closer to the vertex of slope; the safety factor increases little and slip plane goes far away from vertex of slope with the increase of tensile strength.展开更多
文摘在计算线性供给函数均衡模型(linear supply function equilibrium,LSFE)的过程中,通常需要多次求解各发电商(generation company,GenCo)个体所对应的双层优化问题。提出采用分支定界方法求解计及输电约束的线性供给函数均衡问题。采用分支剪支操作处理互补松弛约束,仅需要计算少量的子优化问题,就可以达到遍历所有系统松弛子模式的效果。通过3节点系统和IEEE30节点系统2个算例可以看出,所提算法具有很好的搜索效率,为求解大规模电力市场均衡问题提供了一条有效途径。
基金National Natural Science Foundation of China under grants 70671064,10771040Guangxi Science Foundation(No. 0726006,0640001)the Scientific Research Foundation of Guangxi University(No.X081016)of China.
基金Project(20060533071) supported by the Doctoral Program Foundation of Higher Education of ChinaProject (20060400264) supported by China Postdoctoral Science Foundation+1 种基金Project (50774093) supported by the National Natural Science Foundation of ChinaProject (1343-74236000014) supported by Graduate Student Innovation Foundation of Hunan Province, China
文摘In order to determine the slip plane of slope directly by the calculation results of strength reduction method, and analyze the influential factors of slope stability, a numerical model was established in plane strain mode by FLAC3D for homogeneous soil slope, whose parameters were reduced until the slope reached the critical state. Then FISH program was used to get the location data of slip plane from displacement contour lines. Furthermore, the method to determine multiple slip planes was also proposed by setting different heights of elastic areas. The influential factors for the stability were analyzed, including cohesion, internal friction angle, and tensile strength. The calculation results show that with the increase of cohesion, failure mode of slope changes from shallow slipping to the deep slipping, while inclination of slip plane becomes slower and slipping volume becomes larger; with the increase of friction angle, failure mode of slope changes from deep slipping to shallow slipping, while slip plane becomes steeper and upper border of slip plane comes closer to the vertex of slope; the safety factor increases little and slip plane goes far away from vertex of slope with the increase of tensile strength.
