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Two-stage Optimal Dispatching of AC/DC Hybrid Active Distribution Systems Considering Network Flexibility

Journal of Modern Power Systems and Clean Energy 2023年第1期11卷 52-65页

作者： yi su Jiashen Teh School of Electrical and Electronic Engineering Universiti Sains Malaysia(USM)14300 Nibong TebalPenangMalaysia IEEE

The increasing flexibility of active distribution systems(ADSs)coupled with the high penetration of renewable distributed generators(RDGs)leads to the increase of the *** is of practical significance to achieve the largest amount of RDG penetration in ADSs and maintain the optimal *** study establishes an alternating current(AC)/direct current(DC)hybrid ADS model that considers the dynamic thermal rating,soft open point,and distribution network reconfiguration(DNR).Moreover,it transforms the optimal dispatching into a second-order cone programming *** the different control time scales of dispatchable resources,the following two-stage dispatching framework is proposed.d dispatch uses hourly input data with the goal(1)The day-ahea of minimizing the grid loss and RDG *** obtains the optimal 24-hour schedule to determine the dispatching plans for DNR and the energy storage system.(2)The intraday dispatch uses 15-min input data for 1-hour rolling-plan dispatch but only executes the first 15 min of *** eliminate error between the actual operation and dispatching plan,the first 15 min is divided into three 5-min step-by-step *** goal of each step is to trace the tie-line power of the intraday rolling-plan dispatch to the greatest extent at the minimum *** measured data are used as feedback input for the rolling-plan dispatch after each step is executed.A case study shows that the comprehensive cooperative ADS model can release the line capacity,reduce losses,and improve the penetration rate of ***,the two-stage dispatching framework can handle source-load fluctuations and enhance system stability.

关键词： Two-stage dispatching network flexibility renewable distributed generator second-order cone programming(SOCP) alternating current(AC)/direct current(DC)hybrid active distribution system

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Fragmented condensates of singly trapped dipolar Bose gases

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Science China(Physics,Mechanics & Astronomy) 2012年第9期55卷 1535-1540页

作者： LU HaiYan yi su State Key Laboratory of Theoretical Physics Institute of Theoretical Physics Chinese Academy of Sciences Beijing 100190 China

By employing the method of the multiconfigurational time-dependent Hartree for bosons,we investigate the ground state properties of a singly trapped dipolar gas of spinless *** show that the repulsive interactions favor the formation of the fragmented ground *** particular,we find the formation of the fragmented state is mainly due to the interaction energies associated with the one-and two-particle exchanges between *** also obtain the stability diagram of the system and find that the stability of the system is significantly enhanced by the appearance of the fragmentation.

关键词： fragmentation Bose-Einsein condensate dipole-dipole interation

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Trapped Bose–Einstein condensates with quadrupole–quadrupole interactions

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Chinese Physics B 2018年第12期27卷 141-146页

作者： An-Bang Wang su yi CAS Key Laboratory of Theoretical Physics Institute of Theoretical Physics (ITP) Chinese Academy of Sciences (CAS) School of Physical Sciences University of Chinese Academy of Sciences CAS Center for Excellence in Topological Quantum Computation University of Chinese Academy of Sciences

We numerically investigate the ground-state properties of a trapped Bose–Einstein condensate with quadrupole–quadrupole *** quantitatively characterize the deformations of the condensate induced by the quadrupolar *... 详细信息

关键词： quadrupole–quadrupole interactions trapped Bose–Einstein condensates ground state stability deformations collective excitations

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Motional n-phonon bundle states of a trapped atom with clock transitions

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Photonics Research 2021年第7期9卷 1289-1299页

作者： YUANGANG DENG TAO SHI su yi Guangdong Provincial Key Laboratory of Quantum Metrology and Sensing&School of Physics and Astronomy Sun Yat-sen University(Zhuhai Campus)Zhuhai 519082China CAS Key Laboratory of Theoretical Physics Institute of Theoretical PhysicsChinese Academy of SciencesBeijing 100190China CAS Center for Excellence in Topological Quantum Computation University of Chinese Academy of SciencesBeijing 100049China School of Physical Sciences University of Chinese Academy of SciencesBeijing 100049China

Quantum manipulation of individual phonons could offer new resources for studying fundamental physics and creating an innovative platform in quantum information science. Here,we propose to generate quantum states of strongly correlated phonon bundles associated with the motion of a trapped atom. Our scheme operates in the atom–phonon resonance regime where the energy spectrum exhibits strong anharmonicity such that energy eigenstates with different phonon numbers can be well-resolved in the parameter space. Compared to earlier schemes operating in the far dispersive regime,the bundle states generated here contain a large steady-state phonon number. Therefore,the proposed system can be used as a high-quality multiphonon source. Our results open up the possibility of using long-lived motional phonons as quantum resources,which could provide a broad physics community for applications in quantum metrology.

关键词： phonon bundle quantum

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Multiscale observation in wide-spatial radar surveillance based on coherent FDA design

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Science China(Information Sciences) 2024年第2期67卷 232-252页

作者： Lei YU Feng HE yi su College of Electronics Science National University of Defense Technology

Wide-spatial radar surveillance missions are challenging tasks, requiring an increased power budget and agility in transmission aimed at extracting information from multiple targets in different environments. These requirements necessitate high transmitting degrees of freedom(DOF) to achieve the objective of multiscale observation for specific tasks in specialized regions of interest. Herein, we exploit the multiscale observation ability in wide-spatial radar surveillance based on frequency diverse array(FDA)radar. The proposed method facilitates spatial anisotropic control of multiple radar resources, including the transmitting waveforms, beampattern, and bandwidth. By utilizing a coherent FDA radar, we offer principles for the selection of baseband waveforms, in addition to the quantitative design of the beampattern gain and optimal bandwidth from the perspective of detection. The feasibility of the proposed method is validated through numerical experiments, thus indicating the potential in wide-spatial radar surveillance. Moreover,this work can be regarded as a preliminary attempt to gauge the efficacy of the computational array, a novel academic concept.

关键词： multi-scale observation wide-spatial surveillance frequency diverse array (FDA) beampattern synthesis frequency diversity gain computational array

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Distributional Dimension of Fractal Sets in Local Fields

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Acta Mathematica Sinica,English Series 2008年第1期24卷 147-158页

作者： Hua QIU Wei yi su Department of Mathematics Nanjing University Nanjing 210093 P. R. China

The distributional dimension of fractal sets in R^n has been systematically studied by Triebel by virtue of the theory of function spaces. In this paper, we first discuss some important properties about the B-type spaces and the F-type spaces on local fields, then we give the definition of the distributional dimension dimD in local fields and study the relations between distributional dimension and Hausdorff dimension. Moreover, the analysis expression of the Hausdorff dimension is given. Lastly, we define the Fourier dimension in local fields, and obtain the relations among all the three dimensions. Keywords local field, B-type space, F-type space, distributional dimension, Hausdorff dimension Fourier dimension

关键词： local field B-type space F-type space distributional dimension Hausdorff dimension,Fourier dimension

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A Geometric Based Connection between Fractional Calculus and Fractal Functions

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Acta Mathematica Sinica,English Series 2024年第2期40卷 537-567页

作者： Yong Shun LIANG Wei yi su School of Mathematics and Statistic Nanjing University of Science and TechnologyNanjing 210094P.R.China Department of Mathematics Nanjing UniversityNanjing 210023P.R.China

Establishing the accurate relationship between fractional calculus and fractals is an important research content of fractional calculus *** the present paper,we investigate the relationship between fractional calculus and fractal functions,based only on fractal dimension *** dimension of the Riemann-Liouville fractional integral of continuous functions seems no more than fractal dimension of functions *** fractal dimension of the Riemann-Liouville fractional differential of continuous functions seems no less than fractal dimension of functions themselves when they *** further discussion,fractal dimension of the Riemann-Liouville fractional integral is at least linearly decreasing and fractal dimension of the Riemann-Liouville fractional differential is at most linearly increasing for the Holder continuous *** about other fractional calculus,such as the Weyl-Marchaud fractional derivative and the Weyl fractional integral has also been given *** work is helpful to reveal the mechanism of fractional calculus on continuous *** the same time,it provides some theoretical basis for the rationality of the definition of fractional *** is also helpful to reveal and explain the internal relationship between fractional calculus and fractals from the perspective of geometry.

关键词： Fractional calculus fractal functions fractal dimension fractional calculus equation relationship

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Two-dimensional Wave Equations with Fractal Boundaries

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Acta Mathematica Sinica,English Series 2013年第12期29卷 2321-2342页

作者： Lin Tao MA Wei yi su Department of Mathematics Nanjing University College of Mathematical Sciences Guangxi Normal University

This paper focuses on two cases of two-dimensional wave equations with fractal boundaries. The first case is the equation with classical derivative. The formal solution is obtained. And a definition of the solution is given. Then we prove that under certain conditions, the solution is a kind of fractal function, which is continuous, differentiable nowhere in its domain. Next, for specific given initial position and 3 different initial velocities, the graphs of solutions are sketched. By computing the box dimensions of boundaries of cross-sections for solution surfaces, we evaluate the range of box dimension of the vibrating membrane. The second case is the equation with p-type derivative. The corresponding solution is shown and numerical example is given.

关键词： Von Koch type curve p-type derivative two-dimensional wave equation fractal boundary fractal dimension

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Fractal Dimensions of Fractional Integral of Continuous Functions

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Acta Mathematica Sinica,English Series 2016年第12期32卷 1494-1508页

作者： Yong Shun LIANG Wei yi su Institute of Science Nanjing University of Science and Technology Department of Mathematics Nanjing University

In this paper, we mainly explore fractal dimensions of fractional calculus of continuous functions defined on closed intervals. Riemann-Liouville integral of a continuous function f（x） of order v（v 〉 0） which is written as D-Vf（x） has been proved to still be continuous and bounded. Furthermore, upper box dimension of D-v f（x） is no more than 2 and lower box dimension of D-v f（x） is no less than 1. If f（x） is a Lipshciz function, D-v f（x） also is a Lipshciz function. While f（x） is differentiable on [0, 1], D-v f（x） is differentiable on [0, 1] too. With definition of upper box dimension and further calculation, we get upper bound of upper box dimension of Riemann-Liouville fractional integral of any continuous functions including fractal functions. If a continuous function f（x） satisfying HSlder condition, upper box dimension of Riemann-Liouville fractional integral of f（x） seems no more than upper box dimension of f（x）. Appeal to auxiliary functions, we have proved an important conclusion that upper box dimension of Riemann-Liouville integral of a continuous function satisfying HSlder condition of order v（v 〉 0） is strictly less than 2 - v. Riemann-Liouville fractional derivative of certain continuous functions have been discussed elementary. Fractional dimensions of Weyl-Marchaud fractional derivative of certain continuous functions have been estimated.

关键词： Holder condition fractional calculus fractal dimension bound variation

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An Endpoint Estimate for the Commutator of Singular Integrals

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Acta Mathematica Sinica,English Series 2005年第6期21卷 1249-1258页

作者： Yong Zhong suN Wei yi su Deptartment of Mathematics Nanjing University Nanfing 210093 P. R. China

It is well known that the commutator Tb of the singular integral operator T with a BMO function b is bounded on L^P（R^n）, 1 〈 p 〈 ∞. In this paper, we consider the endpoint estimates for a kind of commutator of s... 详细信息

关键词： BMO LMO Commutator Singular integrals

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