温室气体排放权交易将给电力系统优化运行带来新的挑战。基于总量管制和排放交易(cap and trade)模式,提出计及排放权交易的机组组合(emission trading unit commitment,ETUC)模型。该模型不仅考虑了排放配额约束,而且考虑了排放权的交...温室气体排放权交易将给电力系统优化运行带来新的挑战。基于总量管制和排放交易(cap and trade)模式,提出计及排放权交易的机组组合(emission trading unit commitment,ETUC)模型。该模型不仅考虑了排放配额约束,而且考虑了排放权的交易。基于二阶锥多面体近似法,提出一种求解ETUC问题的新方法。该方法将ETUC问题转化为混合整数二阶锥规划(mixed integersecond-order cone programming,MISOCP)模型,然后利用多面体近似法将二阶锥约束转化为线性约束,形成解决ETUC问题的混合整数线性规划(mixed integer linear programming,MILP)模型。在10—100机组24时段系统上进行仿真计算,验证所提模型和方法的正确性和有效性。展开更多
For geotechnical stability analysis involving the Drucker-Prager(DP)criterion,both the c-ϕreduction scheme and the M-K reduction scheme can be utilized.With the aid of the second-order cone programming optimized finit...For geotechnical stability analysis involving the Drucker-Prager(DP)criterion,both the c-ϕreduction scheme and the M-K reduction scheme can be utilized.With the aid of the second-order cone programming optimized finite element method(FEM-SOCP),a comparison of the two strength reduction schemes for the stability analysis of a homogeneous slope and a multilayered slope is carried out.Numerical investigations disclose that the FoS results calculated by the c-ϕreduction scheme agree well with those calculated by the classical Morgenstern-Price solutions.However,the FoS results attained by the M-K reduction scheme may lead to conservative estimation of the geotechnical safety,particularly for the cases with large internal friction angles.In view of the possible big difference in stability analysis results caused by the M-K reduction scheme,the c-ϕreduction scheme is recommended for the geotechnical stability analyses involving the DP criterion.展开更多
The traditional guidance law only guarantees the accuracy of attacking a target. However, the look angle and acceleration constraints are indispensable in applications. A new adaptive three-dimensional proportional na...The traditional guidance law only guarantees the accuracy of attacking a target. However, the look angle and acceleration constraints are indispensable in applications. A new adaptive three-dimensional proportional navigation(PN) guidance law is proposed based on convex optimization. Decomposition of the three-dimensional space is carried out to establish threedimensional kinematic engagements. The constraints and the performance index are disposed by using the convex optimization method. PN guidance gains can be obtained by solving the optimization problem. This solution is more rapid and programmatic than the traditional method and provides a foundation for future online guidance methods, which is of great value for engineering applications.展开更多
文摘温室气体排放权交易将给电力系统优化运行带来新的挑战。基于总量管制和排放交易(cap and trade)模式,提出计及排放权交易的机组组合(emission trading unit commitment,ETUC)模型。该模型不仅考虑了排放配额约束,而且考虑了排放权的交易。基于二阶锥多面体近似法,提出一种求解ETUC问题的新方法。该方法将ETUC问题转化为混合整数二阶锥规划(mixed integersecond-order cone programming,MISOCP)模型,然后利用多面体近似法将二阶锥约束转化为线性约束,形成解决ETUC问题的混合整数线性规划(mixed integer linear programming,MILP)模型。在10—100机组24时段系统上进行仿真计算,验证所提模型和方法的正确性和有效性。
基金Projects(42002277,41972279,41772291)supported by the National Natural Science Foundation of ChinaProjects(2020M680321,2021T140046)supported by the China Postdoctoral Science Foundation+1 种基金Projects(2020-zz-081,2021-PC-003)supported by the Beijing Postdoctoral Research Foundation,ChinaProject(X21074)supported by the Fundamental Research Funds for Beijing University of Civil Engineering and Architecture,China。
文摘For geotechnical stability analysis involving the Drucker-Prager(DP)criterion,both the c-ϕreduction scheme and the M-K reduction scheme can be utilized.With the aid of the second-order cone programming optimized finite element method(FEM-SOCP),a comparison of the two strength reduction schemes for the stability analysis of a homogeneous slope and a multilayered slope is carried out.Numerical investigations disclose that the FoS results calculated by the c-ϕreduction scheme agree well with those calculated by the classical Morgenstern-Price solutions.However,the FoS results attained by the M-K reduction scheme may lead to conservative estimation of the geotechnical safety,particularly for the cases with large internal friction angles.In view of the possible big difference in stability analysis results caused by the M-K reduction scheme,the c-ϕreduction scheme is recommended for the geotechnical stability analyses involving the DP criterion.
基金supported by the National Natural Science Foundation of China(61803357)。
文摘The traditional guidance law only guarantees the accuracy of attacking a target. However, the look angle and acceleration constraints are indispensable in applications. A new adaptive three-dimensional proportional navigation(PN) guidance law is proposed based on convex optimization. Decomposition of the three-dimensional space is carried out to establish threedimensional kinematic engagements. The constraints and the performance index are disposed by using the convex optimization method. PN guidance gains can be obtained by solving the optimization problem. This solution is more rapid and programmatic than the traditional method and provides a foundation for future online guidance methods, which is of great value for engineering applications.
