In this paper,we propose a three-term conjugate gradient method for solving unconstrained optimization problems based on the Hestenes-Stiefel(HS)conjugate gradient method and Polak-Ribiere-Polyak(PRP)conjugate gradien...In this paper,we propose a three-term conjugate gradient method for solving unconstrained optimization problems based on the Hestenes-Stiefel(HS)conjugate gradient method and Polak-Ribiere-Polyak(PRP)conjugate gradient method.Under the condition of standard Wolfe line search,the proposed search direction is the descent direction.For general nonlinear functions,the method is globally convergent.Finally,numerical results show that the proposed method is efficient.展开更多
Based on reliability theory,a general method for the optimization design of piles subjected to horizontal loads is presented.This method takes into consideration various uncertainties caused by pile installation,varia...Based on reliability theory,a general method for the optimization design of piles subjected to horizontal loads is presented.This method takes into consideration various uncertainties caused by pile installation,variability of geotechnical materials from one location to another,and so on.It also deals with behavior and side constraints specified by standard specifications for piles.To more accurately solve the optimization design model,the first order reliability method is employed.The results from the numerical example indicate that the target reliability index has significant influence on design parameters.In addition,the optimization weight increases with the target reliability index.Especially when the target reliability index is relatively large,the target reliability index has significant influence on design weight of piles.展开更多
虚拟电厂(virtual power plant,VPP)作为解决可再生能源并网的技术途径,可有效帮助各类分布式能源参与电力市场交易并提高整体竞争力与经济性。为此文中提出了一种聚合多类分布式能源的VPP运营策略及其内部成员的收益分配方法。首先,构...虚拟电厂(virtual power plant,VPP)作为解决可再生能源并网的技术途径,可有效帮助各类分布式能源参与电力市场交易并提高整体竞争力与经济性。为此文中提出了一种聚合多类分布式能源的VPP运营策略及其内部成员的收益分配方法。首先,构建了由风电机组、燃气机组、储能设备和可中断负荷组成的VPP优化运行模型,并运用条件风险价值理论对不确定因素风险进行量化处理,得到了不同风险水平下VPP的运营策略和收益;接着,基于内部各成员的风险水平、收益贡献和成员吸引力,采用权重系数改进Shapley值法,提出了适用于多个成员的VPP收益分配模型;最后,以某VPP为研究对象进行算例分析,验证了所建模型的有效性,确保了收益分配结果的公平性与合理性,对各类分布式能源参与到VPP起到积极作用,对维护VPP联盟的稳定具有重要意义。展开更多
基金Supported by the Science and Technology Project of Guangxi(Guike AD23023002)。
文摘In this paper,we propose a three-term conjugate gradient method for solving unconstrained optimization problems based on the Hestenes-Stiefel(HS)conjugate gradient method and Polak-Ribiere-Polyak(PRP)conjugate gradient method.Under the condition of standard Wolfe line search,the proposed search direction is the descent direction.For general nonlinear functions,the method is globally convergent.Finally,numerical results show that the proposed method is efficient.
基金Project(51278216) supported by the National Natural Science Foundation of China
文摘Based on reliability theory,a general method for the optimization design of piles subjected to horizontal loads is presented.This method takes into consideration various uncertainties caused by pile installation,variability of geotechnical materials from one location to another,and so on.It also deals with behavior and side constraints specified by standard specifications for piles.To more accurately solve the optimization design model,the first order reliability method is employed.The results from the numerical example indicate that the target reliability index has significant influence on design parameters.In addition,the optimization weight increases with the target reliability index.Especially when the target reliability index is relatively large,the target reliability index has significant influence on design weight of piles.
文摘虚拟电厂(virtual power plant,VPP)作为解决可再生能源并网的技术途径,可有效帮助各类分布式能源参与电力市场交易并提高整体竞争力与经济性。为此文中提出了一种聚合多类分布式能源的VPP运营策略及其内部成员的收益分配方法。首先,构建了由风电机组、燃气机组、储能设备和可中断负荷组成的VPP优化运行模型,并运用条件风险价值理论对不确定因素风险进行量化处理,得到了不同风险水平下VPP的运营策略和收益;接着,基于内部各成员的风险水平、收益贡献和成员吸引力,采用权重系数改进Shapley值法,提出了适用于多个成员的VPP收益分配模型;最后,以某VPP为研究对象进行算例分析,验证了所建模型的有效性,确保了收益分配结果的公平性与合理性,对各类分布式能源参与到VPP起到积极作用,对维护VPP联盟的稳定具有重要意义。
