针对多源配电网运行面临的供电电压不合格和运行经济性欠优的问题,该文提出了基于改进两阶段鲁棒优化的主动配电网经济调度策略。首先,量化分析了全电驱动的移动式储能(mobile energy storage,MES)的时空转移特性,评估了基于变频空调的...针对多源配电网运行面临的供电电压不合格和运行经济性欠优的问题,该文提出了基于改进两阶段鲁棒优化的主动配电网经济调度策略。首先,量化分析了全电驱动的移动式储能(mobile energy storage,MES)的时空转移特性,评估了基于变频空调的建筑虚拟储能(virtual energy storage,VES)的调节能力,建立统一的多类型储能模型。进而,考虑预测误差,通过离散不确定域,改进现有的鲁棒优化方法,获得更加精确的"最恶劣"场景。在此基础上,针对优化模型中的min-max-min结构,提出了主–子问题交互迭代的求解方法。基于41节点配网的仿真结果表明,采用改进两阶段鲁棒优化模型的主动配电网经济调度切实可行,相应的求解算法具有高效性。该方法为配电网安全、经济运行提供了一个崭新的视角。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
文摘针对多源配电网运行面临的供电电压不合格和运行经济性欠优的问题,该文提出了基于改进两阶段鲁棒优化的主动配电网经济调度策略。首先,量化分析了全电驱动的移动式储能(mobile energy storage,MES)的时空转移特性,评估了基于变频空调的建筑虚拟储能(virtual energy storage,VES)的调节能力,建立统一的多类型储能模型。进而,考虑预测误差,通过离散不确定域,改进现有的鲁棒优化方法,获得更加精确的"最恶劣"场景。在此基础上,针对优化模型中的min-max-min结构,提出了主–子问题交互迭代的求解方法。基于41节点配网的仿真结果表明,采用改进两阶段鲁棒优化模型的主动配电网经济调度切实可行,相应的求解算法具有高效性。该方法为配电网安全、经济运行提供了一个崭新的视角。
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.
