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Decomposition for Large-Scale Optimization Problems:An Overview
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作者 Thai Doan CHUONG Chen LIU Xinghuo YU 《Artificial Intelligence Science and Engineering》 2025年第3期157-174,共18页
Formalizing complex processes and phenomena of a real-world problem may require a large number of variables and constraints,resulting in what is termed a large-scale optimization problem.Nowadays,such large-scale opti... Formalizing complex processes and phenomena of a real-world problem may require a large number of variables and constraints,resulting in what is termed a large-scale optimization problem.Nowadays,such large-scale optimization problems are solved using computing machines,leading to an enormous computational time being required,which may delay deriving timely solutions.Decomposition methods,which partition a large-scale optimization problem into lower-dimensional subproblems,represent a key approach to addressing time-efficiency issues.There has been significant progress in both applied mathematics and emerging artificial intelligence approaches on this front.This work aims at providing an overview of the decomposition methods from both the mathematics and computer science points of view.We also remark on the state-of-the-art developments and recent applications of the decomposition methods,and discuss the future research and development perspectives. 展开更多
关键词 decomposition methods nonlinear optimization large-scale problems computational intelligence
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Exponential Attitude-Orbit Coordinated Control for Gravitational-Wave Detection Spacecraft Formation with Large-Scale Communication Delays
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作者 XING Youpeng SONG Yinsheng +1 位作者 YIN Zeyang CHEN Xiaofang 《Transactions of Nanjing University of Aeronautics and Astronautics》 2025年第1期70-79,共10页
This paper concerns the exponential attitude-orbit coordinated control problems for gravitational-wave detection formation spacecraft systems.Notably,the large-scale communication delays resulting from oversized inter... This paper concerns the exponential attitude-orbit coordinated control problems for gravitational-wave detection formation spacecraft systems.Notably,the large-scale communication delays resulting from oversized inter-satellite distance of space-based laser interferometers are first modeled.Subject to the delayed communication behaviors,a new delay-dependent attitude-orbit coordinated controller is designed.Moreover,by reconstructing the less conservative Lyapunov-Krasovskii functional and free-weight matrices,sufficient criteria are derived to ensure the exponential stability of the closed-loop relative translation and attitude error system.Finally,a simulation example is employed to illustrate the numerical validity of the proposed controller for in-orbit detection missions. 展开更多
关键词 gravitational-wave detection spacecraft formation attitude-orbit coordinated control large-scale communication delays exponential stability
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Regulating local coordination environment of rhodium single atoms in Rh/CeO_(2) catalysts for N_(2)O decomposition 被引量:5
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作者 Shaohua Xie Daekun Kim +2 位作者 Kailong Ye Laurene Tetard Fudong Liu 《Journal of Rare Earths》 SCIE EI CAS CSCD 2023年第6期941-951,I0005,共12页
Rh single atom catalysts(SACs)have been insensitively investigated recently due to the maximum utilization efficiency of Rh,one of the most expensive precious metals.Although great efforts have been made in the develo... Rh single atom catalysts(SACs)have been insensitively investigated recently due to the maximum utilization efficiency of Rh,one of the most expensive precious metals.Although great efforts have been made in the development and application of Rh SACs,there are few reports on the precise control of the local coordination environment of Rh single sites on CeO_(2) and their catalytic performance for N_(2)O decomposition.Herein,Rh/CeO_(2) catalysts with different Rh-O coordination numbers(CNs)were successfully prepared using different CeO_(2) supports and a simple incipient wetness impregnation(IWI)method.It is observed that the Rh/CeO_(2) catalyst with slightly higher CN of Rh-O(Rh/CeO_(2)-H)prepared from CeO_(2) shows much higher N_(2)O decomposition activity than the catalyst with lower CN of Rh-O(Rh/CeO_(2)-L)obtained from Ce(OH)_(x).The Rh species within Rh/CeO_(2)-H are found to be more reactive than those within Rh/CeO_(2)-L,which can better facilitate the O_(2)desorption once formed during N_(2)O deco mposition.In additio n,more surface oxygen vacancies are present on Rh/CeO_(2)-H than on Rh/CeO_(2)-L,well explaining the superior N_(2)O adsorption and activation capability on the former catalyst.It is concluded that more abundant oxygen vacancies and reactive Rh single atom sites with slightly higher CN of Rh-O and significantly higher reducibility altogether contribute to the superior N_(2)O decomposition activity on the Rh/CeO_(2)-H catalyst. 展开更多
关键词 Rh single-atom catalyst coordination environment N_(2)O decomposition Oxygen vacancy O_(2)desorption Rare earths
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A Decomposition and Coordination Scheduling Method for Flow-shop Problem Based on TOC 被引量:7
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作者 张宏远 席裕庚 谷寒雨 《自动化学报》 EI CSCD 北大核心 2005年第2期182-187,共6页
There are many flow shop problems of throughput (denoted by FSPT) with constraints of due date in real production planning and scheduling. In this paper, a decomposition and coordination algorithm is proposed based on... There are many flow shop problems of throughput (denoted by FSPT) with constraints of due date in real production planning and scheduling. In this paper, a decomposition and coordination algorithm is proposed based on the analysis of FSPT and under the support of TOC (theory of constraint). A flow shop is at first decomposed into two subsystems named PULL and PUSH by means of bottleneck. Then the subsystem is decomposed into single machine scheduling problems,so the original NP-HARD problem can be transferred into a serial of single machine optimization problems finally. This method reduces the computational complexity, and has been used in a real project successfully. 展开更多
关键词 约束理论 Flow-shop分解协调算法 TOC 瓶颈
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A novel decomposition and coordination algorithm for complex networks and its application to power grids 被引量:3
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作者 Xiangping NI Shengwei MEI 《控制理论与应用(英文版)》 EI 2008年第1期53-58,共6页
To analyze and control complex networks effectively, this paper puts forward a new kind of scheme, which takes control separately in each area and can achieve the network’s coordinated optimality. The proposed algori... To analyze and control complex networks effectively, this paper puts forward a new kind of scheme, which takes control separately in each area and can achieve the network’s coordinated optimality. The proposed algorithm is made up of two parts: the first part decomposes the network into several independent areas based on community structure and decouples the information flow and control power among areas; the second part selects the center nodes from each area with the help of the control centrality index. As long as the status of center nodes is kept on a satisfactory level in each area, the whole system is under effective control. Finally, the algorithm is applied to power grids, and the simulations prove its effectiveness. 展开更多
关键词 复杂网络 网络结构 调和算法 电力网络
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Multi-boiler System Optimization in Integrated Steelworks Based on Decomposition and Coordination Method
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作者 Guang-yu MA Wen-qiang SUN +2 位作者 Wei-dong LI Zhu YE Jiu-ju CAI 《Journal of Iron and Steel Research International》 SCIE EI CAS CSCD 2015年第3期226-231,共6页
As for the existing problems of boilers in integrated steelworks, the multi-boiler system could be quantitatively optimized with the decomposition and coordination method. Then, case studies were carried out based on ... As for the existing problems of boilers in integrated steelworks, the multi-boiler system could be quantitatively optimized with the decomposition and coordination method. Then, case studies were carried out based on the data of an integrated steelworks. Two groups of actual production records were contrastively analyzed, and the calculation results from the optimized program of these two groups indicated that for groups 1 and 2, the costs fall by 5.06% and 3.79%and the fuel consumptions decrease by 2.72% and 1.45%, respectively, compared with the actual data. To analyze the cost and fuel consumption change under the same condition of total load demand, assigned fuel consumption and water temperature, five sets of data were selected for further analysis. It was shown that the total cost and fuel consumption of the optimized program could fall by 3.5% and 1.6% respectively, compared with the actual production records. The optimal allocation significantly contributed to energy conservation and cost reduction. The effects of the system energy conservation cannot be realized by single equipment energy conservation. They were complementary to each other, and should be put on the same stage. 展开更多
关键词 BOILER self-owned power plant integrated steelworks decomposition and coordination method
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Synthesis Characterization Non-isothermal Kinetics of the Thermal Decomposition and Redox Properties Derived from Copper(Ⅱ) Binuclear Coordination Compound of 1,4-Bis-(1'-Phenyl-3'-Methyl-5'-Pyrazolone-4')-1,4-Butanedione
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作者 Cun SHAN Dian Zen JIA Xi XIA(Department of Chemistry,, Xinjiang University, Urumqi,830046). 《Chinese Chemical Letters》 SCIE CAS CSCD 1997年第5期455-458,共4页
The paper reports the synthetic procedure and character of Copper(II) binuclearcoordination compound of 1,4-bis-(1'-phenyl-3'-methyl-5'-pyrazolone Thenon-isothermal kinetics of thermal decomposition of the... The paper reports the synthetic procedure and character of Copper(II) binuclearcoordination compound of 1,4-bis-(1'-phenyl-3'-methyl-5'-pyrazolone Thenon-isothermal kinetics of thermal decomposition of the complex has been stUdied from the TG-DTGcurves by means of the Achar et al. and Coats-Redfern methods,the most probab1e kinetic equation canbe expressed as dofdtrAe -E / RT * l /(2Q).The corresponding kinetic compensation effect expressions arefound to be lnuA=0. 1794E+0. 1689.The non-isothermal thermal decomposition process of the complex isone-dimensional diffusion.But electrochemical studies of the complex(Cu2L'2)from cyclic voltamrnetriccurves by means of powder microelectrodes technique'',shows one two-electron irreversible process. 展开更多
关键词 Methyl-5 Phenyl-3 Pyrazolone-4 Synthesis Characterization Non-isothermal Kinetics of the Thermal decomposition and Redox Properties Derived from Copper Binuclear coordination Compound of 1 4-Bis
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Coordination:More Important in large-scale exhibitions
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《中国会展》 2005年第9期69-69,共1页
关键词 coordination:More Important in large-scale exhibitions
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Application of Large-Scale Systems Theory in Fire Control Systems
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作者 史天运 何广存 《Journal of Beijing Institute of Technology》 EI CAS 1995年第1期21+17-21,共6页
According the to the model of single tank fire control system, this paper makes use of decomposition-coordination theory of large-scale systems to discuss the shooting problem of multiple tank the control systems, and... According the to the model of single tank fire control system, this paper makes use of decomposition-coordination theory of large-scale systems to discuss the shooting problem of multiple tank the control systems, and alalyzes specifically the three-tank the control systems and models.the process was imitated in computer, and the optimal shooting element of 3TS system was got. In addition, probability of hitting the target was calculated. 展开更多
关键词 large-scale systems fire control systems coordination/shooting error probability of hitting the target
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Two Novel Nitrogen-rich Energetic Coordination Compounds M_2(DAT)_5(H_2O)_3(TNR)_2(M = Zn and Co):Synthesis,Characterization,Thermal Properties and Sensitivity 被引量:5
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作者 梁彦会 张建国 +3 位作者 崔燕 张同来 周遵宁 杨利 《Chinese Journal of Structural Chemistry》 SCIE CAS CSCD 2012年第3期327-338,共12页
Two novel energetic coordination compounds Zn2(DAT)5(H2O)3(TNR)2 and Co2(DAT)5(H2O)3(TNR)2 were synthesized and their structures were characterized by elemental analysis and FT-IR spectroscopy.The crystal ... Two novel energetic coordination compounds Zn2(DAT)5(H2O)3(TNR)2 and Co2(DAT)5(H2O)3(TNR)2 were synthesized and their structures were characterized by elemental analysis and FT-IR spectroscopy.The crystal structures were determined by single-crystal X-ray diffraction.The results reveal that the compounds have similar molecular structures and the crystals belong to the triclinic system,space group P with a = 11.491(3),b = 13.564(3),c = 15.496(3) ,V = 2180.4(8) 3,C17H28 Zn2N36O19,Mr = 1203.02 g·mol-1,Dc = 1.832 g·cm-3,μ(MoKα) = 1.221 mm-1,F(000) = 1223,Z = 2,R = 0.0596 and wR = 0.1514 for 11289 observed reflections(I 〉 2σ(I)) for Zn2(DAT)5(H2O)3(TNR)2 and a = 11.5291(13),b = 13.4894(15),c = 15.4852(17) ,V = 2164.8(4) 3,C17H28Co2N36O19,Mr = 1190.14 g·mol-1,Dc = 1.826 g·cm-3,μ(MoKα) = 0.888 mm-1,F(000) = 1211,Z = 2,R = 0.0576 and wR = 0.1431 for 11218 observed reflections(I 〉 2σ(I)) for Co2(DAT)5(H2O)3(TNR)2,respectively.The thermal decomposition characteristics of the com-pounds were investigated using differential scanning calorimetry and thermal gravimetry-diffediffer-rential thermal gravimetry.The results of thermal decomposition processes were similar for the two compounds.Both undergo four-step decomposition after the loss of coordinated H2O molecules.The final solid residues for the two DAT complexes were the corresponding metal oxides.The kinetic parameter of the first exothermic process of the compounds was studied by applying the Kissinger and Ozawa-Doyle methods.The thermodynamic parameters of the activation could be calculated.Sensitivity tests revealed that Co2(DAT)5(H2O)3(TNR)2 was more sensitive than Zn2(DAT)5(H2O)3(TNR)2. 展开更多
关键词 1 5-diaminotetrazole energetic coordination compound crystal structure thermal decomposition sensitivity properties
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Sewage flow optimization algorithm for large-scale urban sewer networks based on network community division 被引量:1
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作者 Lihui CEN Yugeng XI 《控制理论与应用(英文版)》 EI 2008年第4期372-378,共7页
By considering the flow control of urban sewer networks to minimize the electricity consumption of pumping stations, a decomposition-coordination strategy for energy savings based on network community division is deve... By considering the flow control of urban sewer networks to minimize the electricity consumption of pumping stations, a decomposition-coordination strategy for energy savings based on network community division is developed in this paper. A mathematical model characterizing the steady-state flow of urban sewer networks is first constructed, consisting of a set of algebraic equations with the structure transportation capacities captured as constraints. Since the sewer networks have no apparent natural hierarchical structure in general, it is very difficult to identify the clustered groups. A fast network division approach through calculating the betweenness of each edge is successfully applied to identify the groups and a sewer network with arbitrary configuration could be then decomposed into subnetworks. By integrating the coupling constraints of the subnetworks, the original problem is separated into N optimization subproblems in accordance with the network decomposition. Each subproblem is solved locally and the solutions to the subproblems are coordinated to form an appropriate global solution. Finally, an application to a specified large-scale sewer network is also investigated to demonstrate the validity of the proposed algorithm. 展开更多
关键词 large-scale sewer network BETWEENNESS Network community division decomposition and coordination
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Minimal cut-based recursive decomposition algorithm for seismic reliability evaluation of lifeline networks 被引量:1
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作者 李杰 钱摇琨 刘威 《Earthquake Engineering and Engineering Vibration》 SCIE EI CSCD 2007年第1期21-28,共8页
In this paper, a new probabilistic analytical approach, the minimal cut-based recursive decomposition algorithm (MCRDA), is presented to evaluate the seismic reliability of large-scale lifeline systems. Based on the... In this paper, a new probabilistic analytical approach, the minimal cut-based recursive decomposition algorithm (MCRDA), is presented to evaluate the seismic reliability of large-scale lifeline systems. Based on the minimal cut searching algorithm, the approach calculates the disjoint minimal cuts one by one using the basic procedure of the recursive decomposition method. At the same time, the process obtains the disjoint minimal paths of the system. In order to improve the computation efficiency, probabilistic inequality is used to calculate a solution that satisfies the prescribed error bound. A series of case studies show that MCRDA converges rapidly when the edges of the systems have low reliabilities. Therefore, the approach can be used to evaluate large-scale lifeline systems subjected to strong seismic wave excitation. 展开更多
关键词 minimal cut seismic reliability recursive decomposition algorithm large-scale lifeline system
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A numerical study on flame and large-scale flow structures in bluff-body stabilized flames 被引量:1
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作者 Jing CHEN Hua ZHOU Zhuyin REN 《Chinese Journal of Aeronautics》 SCIE EI CAS CSCD 2019年第7期1646-1656,共11页
Large Eddy Simulations(LES) in conjunction with the Flamelet Progress Variable(FPV) approach have been performed to investigate the flame and large-scale flow structures in the bluff-body stabilized non-premixed flame... Large Eddy Simulations(LES) in conjunction with the Flamelet Progress Variable(FPV) approach have been performed to investigate the flame and large-scale flow structures in the bluff-body stabilized non-premixed flames, HM1 and HM3. The validity of the numerical methods is first verified by comparing the predicted velocity and composition fields with experimental measurements. Then the evolution of the flame and large-scale flow structures is analyzed when the flames approach blow-off. The analysis of instantaneous and statistical data indicates that there exists a shift of the control mechanism in the recirculation zone in the two flames. In the recirculation zone, HM1 flame is mainly controlled by the mixing effect and ignition mainly occurs in the outer shear layer. In HM3 flame, both the chemical reactions and mixing are important in the recirculation zone. The Proper Orthogonal Decomposition(POD) results show that the fluctuations in the outer shear layer are more intense in HM1, while the flow structures are more obvious in the outer vortex structure in HM3, due to the different control mechanism in the recirculation zone.It further shows that the flow structures in HM1 spread larger in the intense mixing zone due to higher temperature and less extinction. 展开更多
关键词 BLUFF-BODY stabilized FLAMES Large EDDY Simulation(LES) large-scale flow structures PROPER ORTHOGONAL decomposition(POD)
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Combination of Nitrogen-Rich Skeleton and Coordination Group:Synthesis of a High-Energy Primary Explosive Based on 1H-Tetrazole-5-Carbohydrazide 被引量:1
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作者 Tingwei Wang Zujia Lu +6 位作者 Shu Bu Baolong Kuang Lu Zhang Zhenxin Yi Kun Wang Shunguan Zhu Jianguo Zhang 《Defence Technology(防务技术)》 SCIE EI CAS CSCD 2024年第1期271-277,共7页
The high energy coordination compounds Cu(TZCA)_(2)(ClO_(4))_(2)(ECCs-1) was prepared by 1H-tetrazole-5-carbohydrazide(TZCA) with a high energy skeleton and a strong coordination ability group.At the same time,the rea... The high energy coordination compounds Cu(TZCA)_(2)(ClO_(4))_(2)(ECCs-1) was prepared by 1H-tetrazole-5-carbohydrazide(TZCA) with a high energy skeleton and a strong coordination ability group.At the same time,the reaction activity of the ligand was explored,and the single crystal structure of it and intermediate were obtained.The structures of all substances were characterized by IR and EA.And the structure and composition of ECCs-1 are confirmed by ESP,AC,SEM and ICP-OES.Physical and chemical properties tests show that ECCs-1 has an acceptable thermal stability(T_(d)=177℃) and extremely sensitive mechanical stimulation(IS=1 J,FS=5 N).The comprehensive performance test results show that ECCs-1 has excellent initiation ability.In addition,the decomposition mechanism of ECCs-1 is explored from two aspects of experiment and theoretical calculation. 展开更多
关键词 1H-tetrazole-5-carbohydrazide Primary explosive decomposition mechanism coordination polymers Laser
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Power Purchase Model of Provincial Grids Based on Diverse Energy Coordination Hedging Optimization
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作者 Dunnan Liu Yujie Xu +3 位作者 Weimin Zeng Jiangping Liu Min Fan Xinming Liu 《Journal of Power and Energy Engineering》 2014年第4期463-469,共7页
Under the background of energy conservation, the grid companies should give priority to consumptive hydropower, wind power and other clean electricity to fulfill their social responsibility and promote the carbon emis... Under the background of energy conservation, the grid companies should give priority to consumptive hydropower, wind power and other clean electricity to fulfill their social responsibility and promote the carbon emission reduction in power industry. But under the current power purchase mode, grid companies must first perform the contract. This is extremely uneconomical and not environmentally friendly. Based on hedging theory, this paper proposes a power purchase optimization model using the strategy of “compression and compensation”. If outer price is lower than the contract price, the grid can compress contract power appropriately, leaving more space for purchasing electricity;if outer price is not attractive enough, the grid should timely improve contract proportion, compensating the deviations of contract caused by "compression". Based on the strategy of "compression and compensation", it can effectively reduce the abandoned wind and water, enhance the economic and social benefits of provincial power grid. 展开更多
关键词 Power PURCHASE OPTIMIZATION HEDGING "Compression and Compensation" large-scale System decomposition-coordination
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Two Coordination Compounds Using Semicarbazide (SCZ) as Bidentate Ligands: [Ni (SCZ)3 ] ( NO3) 2 and Cu ( SCZ )2Cl2
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作者 GUO Jin-yu ZHANG Tong-lai MA Gui-xia ZHANG Jian-guo LIU Yan-hong 《含能材料》 EI CAS CSCD 2006年第6期491-491,共1页
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基于改进自适应完备集合经验模态分解的混合储能辅助火电机组调频的协同控制策略
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作者 严干贵 李永越 +5 位作者 沙千理 宋大彬 乔馨 范煜星 石铭森 张皓程 《电网技术》 北大核心 2026年第1期210-220,I0104,I0105,共13页
针对火-储联合系统参与电网二次调频所面临的机组调频损耗大和储能寿命短导致经济性差的问题,提出一种基于改进自适应完备集合经验模态分解的混合储能辅助火电机组调频的协同控制策略。在火-储功率分配层,基于火电和储能系统的不同响应... 针对火-储联合系统参与电网二次调频所面临的机组调频损耗大和储能寿命短导致经济性差的问题,提出一种基于改进自适应完备集合经验模态分解的混合储能辅助火电机组调频的协同控制策略。在火-储功率分配层,基于火电和储能系统的不同响应特性,利用改进自适应完备集合经验模态分解和多尺度排列熵构建功率分配器,进行火储间功率分配;在混合储能功率分配层,提出一种飞轮-电池储能系统多模态协调动作策略,根据储能系统荷电状态对输出功率进行自适应调整,保证各储能系统均工作在合理运行区间;最后,建立火-储联合调频系统经济性模型对所提策略进行评估。仿真结果表明,所提策略可以有效降低机组爬坡损耗,延长电池储能运行寿命,提升火-储联合调频系统的经济效益。 展开更多
关键词 二次调频 火-储联合 改进自适应完备集合经验模态分解 多模态协调控制
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基于深度随机对偶动态规划的水-火-新能源协同调度方法
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作者 高立乾 崔世常 +5 位作者 方家琨 艾小猛 文劲宇 邢栋 徐尧宇 张君 《电力系统自动化》 北大核心 2026年第5期184-196,共13页
随着新能源大规模接入,水-火-新能源电力系统中水电的快速调节能力和火电的稳定支撑能力,在新能源高渗透的场景下依然是保障电网安全经济运行的核心资源。然而,新能源的不确定性与时序耦合约束导致水-火-新能源协同调度的复杂度显著增加... 随着新能源大规模接入,水-火-新能源电力系统中水电的快速调节能力和火电的稳定支撑能力,在新能源高渗透的场景下依然是保障电网安全经济运行的核心资源。然而,新能源的不确定性与时序耦合约束导致水-火-新能源协同调度的复杂度显著增加,传统优化调度方法难以兼顾求解效率与最优性。为解决上述问题,提出了一种基于Benders分解法的深度随机对偶动态规划求解算法。首先,将水-火-新能源协同调度问题建模为多阶段随机规划模型来刻画随机变量逐时段揭示的特性,并利用Benders分解法实现整数变量与连续变量的分离以降低求解难度。其次,引入全输入凸神经网络高效逼近值函数,在保证收敛性的同时提升了拟合能力与计算效率。最后,在不同规模系统上进行算例验证,结果表明所提算法具有可行性与可扩展性,并显著提升了近似精度、求解效率及质量。 展开更多
关键词 协同调度 水电 火电 新能源 多阶段随机规划 随机对偶动态规划 BENDERS分解法 神经网络
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CEEMD在GNSS坐标时序多成分分离中的应用
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作者 张涛 孙秀峰 +4 位作者 雷体俊 邢云剑 郭恒睿 高仁强 梁亚东 《现代导航》 2026年第1期1-10,20,共11页
针对全球导航卫星系统(GNSS)坐标时间序列成分复杂和信号、噪声与异常值分离困难的问题,采用完备集合经验模态分解(CEEMD)处理中国西北地区若干个GNSS测站坐标时间序列。通过CEEMD,实现趋势、周期及噪声成分的分离,并结合阿伦方差等指... 针对全球导航卫星系统(GNSS)坐标时间序列成分复杂和信号、噪声与异常值分离困难的问题,采用完备集合经验模态分解(CEEMD)处理中国西北地区若干个GNSS测站坐标时间序列。通过CEEMD,实现趋势、周期及噪声成分的分离,并结合阿伦方差等指标评估降噪效果;在含不同密度的模拟异常值的实测序列上,分别基于CEEMD和最小二乘(LSQ)提取残差序列,采用局部异常因子(LOF)、中位数绝对偏差法(MAD)和四分位间距(IQR)等方法识别异常值成分。结果表明,CEEMD能合理地分离GNSS坐标时序中的信号成分与噪声成分,有效降低原始序列中的噪声水平,显著提升基于残差序列的异常值识别效果。其中,联合CEEMD和LOF具有最佳的异常值识别效果,对不同异常值密度具有更强的鲁棒性。 展开更多
关键词 完备集合经验模态分解 GNSS坐标时间序列 滤波降噪 异常值识别
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Correlation of coordinate transformation parameters 被引量:2
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作者 Du Lan Zhang Hanwei +1 位作者 Zhou Qingyong Wang Ruopu 《Geodesy and Geodynamics》 2012年第1期34-38,共5页
Coordinate transformation parameters between two spatial Cartesian coordinate systems can be solved from the positions of non-colinear corresponding points. Based on the characteristics of translation, rotation and zo... Coordinate transformation parameters between two spatial Cartesian coordinate systems can be solved from the positions of non-colinear corresponding points. Based on the characteristics of translation, rotation and zoom components of the transformation, the complete solution is divided into three steps. Firstly, positional vectors are regulated with respect to the centroid of sets of points in order to separate the translation compo- nents. Secondly, the scale coefficient and rotation matrix are derived from the regulated positions independent- ly and correlations among transformation model parameters are analyzed. It is indicated that this method is applicable to other sets of non-position data to separate the respective attributions for transformation parameters. 展开更多
关键词 coordinate transformation model Bursa model orthnormal matrix singular value decomposition (SVD) CORRELATION
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