“双碳”战略和“交通强国”战略使得轨道交通系统向着高效能、高弹性和绿色化的方向发展。轨道交通系统自身具有丰富的资源,通过在其路域铺设新能源,并根据需要配置储能,构建轨道交通自洽能源系统,可实现系统的资产能源化,助力系统向...“双碳”战略和“交通强国”战略使得轨道交通系统向着高效能、高弹性和绿色化的方向发展。轨道交通系统自身具有丰富的资源,通过在其路域铺设新能源,并根据需要配置储能,构建轨道交通自洽能源系统,可实现系统的资产能源化,助力系统向绿色化方向演进。但随机性轨道交通负荷与随机性新能源出力相交织,使得轨道交通自洽能源系统的规划配置面临难题。为此,该文构建了轨道交通路域风力、光伏以及牵引负荷的不确定集合,从而考虑了供需双向不确定性;在此基础上,以年均成本最小为目标函数,并针对牵引变压器等自洽能源系统的组分进行分析,形成系统内各组分应满足的约束条件,从而构建了适应轨道交通运行需求的新能源-储能规划配置两阶段鲁棒优化模型;针对该模型的特点,采用改进列和约束生成(improved column and constraint generation,IC&CG)算法予以求解。算例分析结果表明,所提出的模型可以使得系统的自洽率满足设定要求,并降低了系统的碳排放成本,对推进轨道交通绿色化具有积极的推动作用。展开更多
We propose a systematic method for generalizing the integrable couplings of soliton eqhations hierarchy with self-consistent sources associated with s/（4）. The JM equations hierarchy with self-consistent sources is ...We propose a systematic method for generalizing the integrable couplings of soliton eqhations hierarchy with self-consistent sources associated with s/（4）. The JM equations hierarchy with self-consistent sources is derived. Furthermore, an integrable couplings of the JM soliton hierarchy with self-consistent sources is presented by using of the loop algebra sl（4）.展开更多
Integrable Rosochatius deformations of finite-dimensional integrable systems are generalized to the solitonhierarchy with self-consistent sources.The integrable Rosochatius deformations of the Kaup-Newell hierarchy wi...Integrable Rosochatius deformations of finite-dimensional integrable systems are generalized to the solitonhierarchy with self-consistent sources.The integrable Rosochatius deformations of the Kaup-Newell hierarchy withself-consistent sources,of the TD hierarchy with self-consistent sources,and of the Jaulent Miodek hierarchy with self-consistentsources,together with their Lax representations are presented.展开更多
We construct a particle-number （n）-resolved master equation （ME） approach under the self-consistent Born approximation （SCBA） for quantum transport through mesoscopic systems. The formulation is essentially non-...We construct a particle-number （n）-resolved master equation （ME） approach under the self-consistent Born approximation （SCBA） for quantum transport through mesoscopic systems. The formulation is essentially non-Markovian and incorporates the interplay of the multi-tunneling processes and many-body correlations. The proposed n-SCBA-ME goes beyond the scope of the Born- Markov master equation, being applicable to transport under small bias voltage, in non-Markovian regime and with strong Coulomb correlations. For steady state, it can recover not only the exact result of noninteracting transport under arbitrary voltages, but also the challenging nonequilibrium Kondo effect. Moreover, the n-SCBA-ME approach is efficient for the study of shot noise. We demonstrate the application by a couple of representative examples, including particularly the nonequilibrium Kondo system.展开更多
Symmetry can dramatically reduce the computational cost （running time and memory allocation） of Self-Consistent-Field ab initio calculations for crystalline systems. Crucial for running time is use of symmetry in th...Symmetry can dramatically reduce the computational cost （running time and memory allocation） of Self-Consistent-Field ab initio calculations for crystalline systems. Crucial for running time is use of symmetry in the evaluation of one- and two-electron integrals, diagonalization of the Fock matrix at selected points in reciprocal space, reconstruction of the density matrix. As regards memory allocation, full square matrices （overlap, Fock and density） in the Atomic Orbital （AO） basis are avoided and a direct transformation from the packed AO to the SACO （Symmetry Adapted Crystalline Orbital） basis is per- formed, so that the largest matrix to be handled has the size of the largest sub-block in the latter basis. We here illustrate the effectiveness of this scheme, following recent advancements in the CRYSTAL code, concerning memory allocation and direct basis set transformation. Quantitative examples are given for large unit cell systems, such as zeolites （all-silica faujasite and silicalite MF1） and garnets （pyrope）. It is shown that the full SCF of 3D systems containing up to 576 atoms and 11136 Atomic Orbitals in the cell can be run with a hybrid functional on a single core PC with 500 MB RAM in about 8 h.展开更多
文摘“双碳”战略和“交通强国”战略使得轨道交通系统向着高效能、高弹性和绿色化的方向发展。轨道交通系统自身具有丰富的资源,通过在其路域铺设新能源,并根据需要配置储能,构建轨道交通自洽能源系统,可实现系统的资产能源化,助力系统向绿色化方向演进。但随机性轨道交通负荷与随机性新能源出力相交织,使得轨道交通自洽能源系统的规划配置面临难题。为此,该文构建了轨道交通路域风力、光伏以及牵引负荷的不确定集合,从而考虑了供需双向不确定性;在此基础上,以年均成本最小为目标函数,并针对牵引变压器等自洽能源系统的组分进行分析,形成系统内各组分应满足的约束条件,从而构建了适应轨道交通运行需求的新能源-储能规划配置两阶段鲁棒优化模型;针对该模型的特点,采用改进列和约束生成(improved column and constraint generation,IC&CG)算法予以求解。算例分析结果表明,所提出的模型可以使得系统的自洽率满足设定要求,并降低了系统的碳排放成本,对推进轨道交通绿色化具有积极的推动作用。
基金Supported by the Research Work of Liaoning Provincial Development of Education under Grant No,2008670
文摘We propose a systematic method for generalizing the integrable couplings of soliton eqhations hierarchy with self-consistent sources associated with s/（4）. The JM equations hierarchy with self-consistent sources is derived. Furthermore, an integrable couplings of the JM soliton hierarchy with self-consistent sources is presented by using of the loop algebra sl（4）.
基金Supported by National Basic Research Program of China (973 Program) under Grant No.2007CB814800National Natural Science Foundation of China under Grant No.10801083
文摘Integrable Rosochatius deformations of finite-dimensional integrable systems are generalized to the solitonhierarchy with self-consistent sources.The integrable Rosochatius deformations of the Kaup-Newell hierarchy withself-consistent sources,of the TD hierarchy with self-consistent sources,and of the Jaulent Miodek hierarchy with self-consistentsources,together with their Lax representations are presented.
基金supported by the National Natural Science Foundation of Chinathe Major State Basic Research Project of China(Grant Nos.2011CB808502 and 2012CB932704)+2 种基金the Fundamental Research Funds for the Central Universities of Chinasupportedby the Program for Excellent Young Teachers in Hangzhou Normal Universitythe National Natural Science Foundation of China(Grant No.11274085)
文摘We construct a particle-number （n）-resolved master equation （ME） approach under the self-consistent Born approximation （SCBA） for quantum transport through mesoscopic systems. The formulation is essentially non-Markovian and incorporates the interplay of the multi-tunneling processes and many-body correlations. The proposed n-SCBA-ME goes beyond the scope of the Born- Markov master equation, being applicable to transport under small bias voltage, in non-Markovian regime and with strong Coulomb correlations. For steady state, it can recover not only the exact result of noninteracting transport under arbitrary voltages, but also the challenging nonequilibrium Kondo effect. Moreover, the n-SCBA-ME approach is efficient for the study of shot noise. We demonstrate the application by a couple of representative examples, including particularly the nonequilibrium Kondo system.
基金Compagnia di San Paolo for financial support(Progetti di Ricerca di Ateneo-Compagnia di San Paolo-2011-Linea 1A,progetto ORTO11RRT5)Claudio Zicovich-Wilson acknowledges financial support from Mexican CONACyT through project CB-178853
文摘Symmetry can dramatically reduce the computational cost （running time and memory allocation） of Self-Consistent-Field ab initio calculations for crystalline systems. Crucial for running time is use of symmetry in the evaluation of one- and two-electron integrals, diagonalization of the Fock matrix at selected points in reciprocal space, reconstruction of the density matrix. As regards memory allocation, full square matrices （overlap, Fock and density） in the Atomic Orbital （AO） basis are avoided and a direct transformation from the packed AO to the SACO （Symmetry Adapted Crystalline Orbital） basis is per- formed, so that the largest matrix to be handled has the size of the largest sub-block in the latter basis. We here illustrate the effectiveness of this scheme, following recent advancements in the CRYSTAL code, concerning memory allocation and direct basis set transformation. Quantitative examples are given for large unit cell systems, such as zeolites （all-silica faujasite and silicalite MF1） and garnets （pyrope）. It is shown that the full SCF of 3D systems containing up to 576 atoms and 11136 Atomic Orbitals in the cell can be run with a hybrid functional on a single core PC with 500 MB RAM in about 8 h.
