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Virtual 5G Network Embedding in a Heterogeneous and Multi-Domain Network Infrastructure 被引量:6
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作者 Cunqian Yu Weigang Hou +2 位作者 Yingying Guan Yue Zong Pengxing Guo 《China Communications》 SCIE CSCD 2016年第10期29-43,共15页
The pursuit of the higher performance mobile communications forces the emergence of the fifth generation mobile communication(5G). 5G network, integrating wireless and wired domain, can be qualified for the complex vi... The pursuit of the higher performance mobile communications forces the emergence of the fifth generation mobile communication(5G). 5G network, integrating wireless and wired domain, can be qualified for the complex virtual network work oriented to the cross-domain requirement. In this paper, we focus on the multi-domain virtual network embedding in a heterogeneous 5G network infrastructure, which facilitates the resource sharing for diverse-function demands from fixed/mobile end users. We proposed the mathematical ILP model for this problem.And based on the layered-substrate-resource auxiliary graph and an effective six-quadrant service-type-judgment method, 5G embedding demands can be classified accurately to match different user access densities. A collection of novel heuristic algorithms of virtual 5G network embedding are proposed. A great deal of numerical simulation results testified that our algorithm performed better in terms of average blocking rate, routing latency and wireless/wired resource utilization, compared with the benchmark. 展开更多
关键词 5G virtual network embedding heterogeneous and multi-domain infrastructure wireless channel capacity data center
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Stabilized Multi-domain Simulation Algorithms and Their Application in Simulation Platform for Forging Manipulator 被引量:3
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作者 HUANG Shunzhou ZHAO Yong +1 位作者 WANG Hao LIN Zhongqin 《Chinese Journal of Mechanical Engineering》 SCIE EI CAS CSCD 2014年第1期92-102,共11页
Most researches focused on the analytical stabilized algorithm for the modular simulation of single domain, e.g., pure mechanical systems. Only little work has been performed on the problem of multi-domain simulation ... Most researches focused on the analytical stabilized algorithm for the modular simulation of single domain, e.g., pure mechanical systems. Only little work has been performed on the problem of multi-domain simulation stability influenced by algebraic loops. In this paper, the algebraic loop problem is studied by a composite simulation method to reveal the internal relationship between simulation stability and system topologies and simulation unit models. A stability criterion of multi-domain composite simulation is established, and two algebraic loop compensation algorithms are proposed using numerical iteration and approximate function in multi-domain simulation. The numerical stabilized algorithm is the Newton method for the solution of the set of nonlinear equations, and it is used here in simulation of the system composed of mechanical system and hydraulic system. The approximate stabilized algorithm is the construction of response surface for inputs and outputs of unknown unit model, and it is utilized here in simulation of the system composed of forging system, mechanical and hydraulic system. The effectiveness of the algorithms is verified by a case study of multi-domain simulation for forging system composed of thermoplastic deformation of workpieces, mechanical system and hydraulic system of a manipulator. The system dynamics simulation results show that curves of motion and force are continuous and convergent. This paper presents two algorithms, which are applied to virtual reality simulation of forging process in a simulation platform for a manipulator, and play a key role in simulation efficiency and stability. 展开更多
关键词 DYNAMICS multi-domain simulation STABILITY algebraic loop
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A PSO Based Multi-Domain Virtual Network Embedding Approach 被引量:4
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作者 Yongjing Ni Guoyan Huang +3 位作者 Sheng Wu Chenxi Li Peiying Zhang Haipeng Yao 《China Communications》 SCIE CSCD 2019年第4期105-119,共15页
This paper proposed a multi-domain virtual network embedding algorithm based on multi-controller SDN architecture. The local controller first selects candidate substrate nodes for each virtual node in the domain. Then... This paper proposed a multi-domain virtual network embedding algorithm based on multi-controller SDN architecture. The local controller first selects candidate substrate nodes for each virtual node in the domain. Then the global controller abstracts substrate network topology based on the candidate nodes and boundary nodes of each domain, and applies Particle Swarm Optimization Algorithm on it to divide virtual network requests. Each local controller then embeds the virtual nodes of the divided single-domain virtual network requests in the domain, and cooperates with other local controllers to embed the inter-domain virtual links. Simulation experimental results show that the proposed algorithm has good performance in reducing embedding cost with good stability and scalability. 展开更多
关键词 multi-domain VIRTUAL NETWORK embedding CANDIDATE node particle SWARM optimization algorithm VIRTUAL NETWORK REQUEST division
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Cost-Aware Multi-Domain Virtual Data Center Embedding 被引量:1
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作者 Xiao Ma Zhongbao Zhang Sen Su 《China Communications》 SCIE CSCD 2018年第12期190-207,共18页
Virtual data center is a new form of cloud computing concept applied to data center. As one of the most important challenges, virtual data center embedding problem has attracted much attention from researchers. In dat... Virtual data center is a new form of cloud computing concept applied to data center. As one of the most important challenges, virtual data center embedding problem has attracted much attention from researchers. In data centers, energy issue is very important for the reality that data center energy consumption has increased by dozens of times in the last decade. In this paper, we are concerned about the cost-aware multi-domain virtual data center embedding problem. In order to solve this problem, this paper first addresses the energy consumption model. The model includes the energy consumption model of the virtual machine node and the virtual switch node, to quantify the energy consumption in the virtual data center embedding process. Based on the energy consumption model above, this paper presents a heuristic algorithm for cost-aware multi-domain virtual data center embedding. The algorithm consists of two steps: inter-domain embedding and intra-domain embedding. Inter-domain virtual data center embedding refers to dividing virtual data center requests into several slices to select the appropriate single data center. Intra-domain virtual data center refers to embedding virtual data center requests in each data center. We first propose an inter-domain virtual data center embedding algorithm based on label propagation to select the appropriate single data center. We then propose a cost-aware virtual data center embedding algorithm to perform the intra-domain data center embedding. Extensive simulation results show that our proposed algorithm in this paper can effectively reduce the energy consumption while ensuring the success ratio of embedding. 展开更多
关键词 virtual data CENTER EMBEDDING multi-domain cost-aware LABEL PROPAGATION
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A distributed role-based access control model for multi-domain environments 被引量:1
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作者 洪帆 朱贤 邢光林 《Journal of Shanghai University(English Edition)》 CAS 2006年第2期134-141,共8页
Access control in multi-domain environments is an important question in building coalition between domains. Based on the RBAC access control model and the concepts of secure domain, the role delegation and role mappin... Access control in multi-domain environments is an important question in building coalition between domains. Based on the RBAC access control model and the concepts of secure domain, the role delegation and role mapping are proposed, which support the third-party authorization. A distributed RBAC model is then presented. Finally implementation issues are discussed. 展开更多
关键词 role access control multi-domain DELEGATION mapping.
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Toeplitz Operators on the Bergman Space of Multi-connected Domains 被引量:3
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作者 于涛 曹广福 《Northeastern Mathematical Journal》 CSCD 2001年第4期487-493,共7页
In this paper, we investigate the Toeplitz operators with positive measure symbols on the Bergman spaces of bounded multi-connected domains and show that a Toeplitz operator is bounded or compact if and only if the sy... In this paper, we investigate the Toeplitz operators with positive measure symbols on the Bergman spaces of bounded multi-connected domains and show that a Toeplitz operator is bounded or compact if and only if the symbol measure is a Carleson or vanishing Carleson measure respectively. 展开更多
关键词 Bergman space Toeplitz operator Carleson measure multi-connected domain
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Predefined Exponential Basis Set for Half-Bounded Multi Domain Spectral Method 被引量:1
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作者 Fahhad Alharbi 《Applied Mathematics》 2010年第3期146-152,共7页
A non-orthogonal predefined exponential basis set is used to handle half-bounded domains in multi domain spectral method (MDSM). This approach works extremely well for real-valued semi-infinite differential problems. ... A non-orthogonal predefined exponential basis set is used to handle half-bounded domains in multi domain spectral method (MDSM). This approach works extremely well for real-valued semi-infinite differential problems. It spans simultaneously wide range of exponential decay rates with multi scaling and does not suffer from zero crossing. These two conditions are necessary for many physical problems. For comparison, the method is used to solve different problems and compared with analytical and published results. The comparison exhibits the strengths and accuracy of the presented basis set. 展开更多
关键词 multi-domain Spectral METHOD MESHFREE Numerical METHOD Non-Orthogonal Predefined EXPONENTIAL Basis Set Half-Bounded domain EXPONENTIAL Decay Quantum Wells Optical Waveguide
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Multi-Fault Diagnosis for Autonomous Underwater Vehicle Based on Fuzzy Weighted Support Vector Domain Description 被引量:3
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作者 张铭钧 吴娟 褚振忠 《China Ocean Engineering》 SCIE EI CSCD 2014年第5期599-616,共18页
This paper addresses the multi-fault diagnosis problem of thrusters and sensors for autonomous underwater vehicles (AUVs). Traditional support vector domain description (SVDD) has low classification accuracy in the pr... This paper addresses the multi-fault diagnosis problem of thrusters and sensors for autonomous underwater vehicles (AUVs). Traditional support vector domain description (SVDD) has low classification accuracy in the process of AUV multi-fault pattern classification because of the effect of sample sparse density and the uneven distribution of samples, and so on. Thus, a fuzzy weighted support vector domain description (FWSVDD) method based on positive and negative class samples is proposed. In this method, the negative class sample is introduced during classifier training, and the local density and the class weight are introduced for each sample. To improve the multi-fault pattern classifier training speed and fault diagnosis accuracy of FWSVDD, a multi-fault mode classification method based on a hierarchical strategy is proposed. This method adds fault contain detection surface for each thruster and sensor to isolate fault components during fault diagnosis. By considering the problem of pattern classification for a fuzzy sample, which may be located in the overlapping area of hyper-spheres or may not belong to any hyper-sphere in the process of multi-fault classification based on FWSVDD, a relative distance judgment method is given. The effectiveness of the proposed multi-fault diagnosis approach is demonstrated through water tank experiments with an experimental AUV prototype. 展开更多
关键词 underwater vehicle support vector domain description multi-fault diagnosis fault classification
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Conformal Multi-resolution Time-Domain Method for Scattering Curved Dielectric Objects 被引量:1
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作者 朱敏 曹群生 王毅 《Transactions of Nanjing University of Aeronautics and Astronautics》 EI 2014年第3期269-273,共5页
A conformal multi-resolution time-domain( CMRTD) method is presented for modeling curved objects. The effective dielectric constant and area weighting are used to derive the update equations of CMRTD. The backward sca... A conformal multi-resolution time-domain( CMRTD) method is presented for modeling curved objects. The effective dielectric constant and area weighting are used to derive the update equations of CMRTD. The backward scattering bistatic radar cross sections( RCS) of the dielectric cylinder and ellipsoid are used to validate the proposed method. The results show that the proposed conformal method is more accurate to deal with the complex curved objects in electromagnetic simulations. 展开更多
关键词 conformal multi-resolution time-domain(CMRTD) curved objects radar cross sections(RCS)
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Resolution for Conflicts of Inter-Operation in Multi-Domain Environment
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作者 LU Zhengding WEN Zhumu TANG Zhuo LI Ruixuan 《Wuhan University Journal of Natural Sciences》 CAS 2007年第5期955-960,共6页
This paper proposes a method to formalize the interoperation in multi-domain environment. Through employing the algebra method, we conclude four types of the conflicts for the interoperation, and analyzes the cause of... This paper proposes a method to formalize the interoperation in multi-domain environment. Through employing the algebra method, we conclude four types of the conflicts for the interoperation, and analyzes the cause of the policy conflicts. For each type of conflicts, we formalize it and proposes the method of detection and resolution. Finally, the method is illuminated be effective through comparing our work with others. 展开更多
关键词 conflicts inter-operation multi-domain
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Centralized Role-Based Access Control for Federated Multi-Domain Environments
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作者 YU Guangcan LU Zhengding +1 位作者 LI Ruixuan MUDAR Sarem 《Wuhan University Journal of Natural Sciences》 CAS 2006年第6期1688-1692,共5页
The secure interaction among multiple security domains is a major concern. In this paper, we highlight the issues of secure interoperability among multiple security domains operating under the widely accepted Role Bas... The secure interaction among multiple security domains is a major concern. In this paper, we highlight the issues of secure interoperability among multiple security domains operating under the widely accepted Role Based Access Control (RBAC) model. We propose a model called CRBAC that easily establishes a global policy for roles mapping among multiple security domains. Our model is based on an extension of the RBAC model. Also, multiple security domains were composed to one abstract security domain. Also roles in the multiple domains are translated to permissions of roles in the abstract security domain. These permissions keep theirs hierarchies. The roles in the abstract security domain implement roles mapping among the multiple security domains. Then, authorized users of any security domain can transparently access resources in the multiple domains. 展开更多
关键词 RBAC(role based access control) federated multi-domain
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Design of Multi-domain Collaborative Simulation System for Dual Clutch Transmission Based on CAN Bus
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作者 司建玉 吴光强 《Journal of Donghua University(English Edition)》 EI CAS 2011年第6期599-604,共6页
A multi-domain collaborative simulation(MDCS) system for dual clutch transmission(DCT) was presented based on controller area network(CAN) bus.An interface card of CAN bus was designed,in which MDCS subsystems were li... A multi-domain collaborative simulation(MDCS) system for dual clutch transmission(DCT) was presented based on controller area network(CAN) bus.An interface card of CAN bus was designed,in which MDCS subsystems were linked as the nodes according to the interface mode of MDCS.A DCT simulation model was established based on Matlab/Simdriveline,whose running process was accurately controlled by the designed control system.The playback system of vehicle state(VPS) was proposed whose input was the road-test data,with a real vehicle test environment for the development of transmission control unit(TCU) being provided.A DCT kinematic system model was set up,and the running status of DCT parts could be displayed in real time.The functions of MDCS were verified based on the extra-urban driving cycle(EUDC) and the vehicle road-test data respectively.The results show the functions of MDCS are accomplished,and the unified supporting platform for the development of TCU is achieved by MDCS. 展开更多
关键词 dual CLUTCH transmission(DCT) dynamic PLAYBACK multi-domain SIMULATION COLLABORATIVE SIMULATION controller area network(CAN)
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Multi Domain Design of Fluid Machinery
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作者 Andrea Perrone Luigi De Napoli +1 位作者 Clara Nino Antonino Morabito 《Journal of Mechanics Engineering and Automation》 2015年第6期348-354,共7页
The scope of the paper is the design of a fluid machinery with a multiphysics procedure, through CAD (computer-aided design)-CAE (computer-aided engineering)-CAx (computer-aided technologies) tools. The study of... The scope of the paper is the design of a fluid machinery with a multiphysics procedure, through CAD (computer-aided design)-CAE (computer-aided engineering)-CAx (computer-aided technologies) tools. The study of a wind turbine is a perfect example of a project that requires an interdisciplinary team design, in fact for such a project mechanical structure, and CFD (computational fluid dynamics) designers are necessary. In addition, in the last years, the multi domain design has been supported by the continuous development of software for computer-aided design and the unceasing increase of the connection between performances and computer costs: the final aim is to propose the instruments that assist the designer throughout all the steps of the project. The multi domain design, illustrated in this article, is based on how to design the wind turbine, and it is not about process management and manufacturability. In particular, in the article, the emphasis will be placed on the integration between CAD and mathematical software of general type and on the CAD-CAE integration. 展开更多
关键词 multi domain design fluid machinery CAE CAD ALE (arbitrary Lagrangian-Eulerian).
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Bayesian seismic multi-scale inversion in complex Laplace mixed domains 被引量:5
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作者 Kun Li Xing-Yao Yin Zhao-Yun Zong 《Petroleum Science》 SCIE CAS CSCD 2017年第4期694-710,共17页
Seismic inversion performed in the time or frequency domain cannot always recover the long-wavelength background of subsurface parameters due to the lack of low-frequency seismic records. Since the low-frequency respo... Seismic inversion performed in the time or frequency domain cannot always recover the long-wavelength background of subsurface parameters due to the lack of low-frequency seismic records. Since the low-frequency response becomes much richer in the Laplace mixed domains, one novel Bayesian impedance inversion approach in the complex Laplace mixed domains is established in this study to solve the model dependency problem. The derivation of a Laplace mixed-domain formula of the Robinson convolution is the first step in our work. With this formula, the Laplace seismic spectrum, the wavelet spectrum and time-domain reflectivity are joined together. Next, to improve inversion stability, the object inversion function accompanied by the initial constraint of the linear increment model is launched under a Bayesian framework. The likelihood function and prior probability distribution can be combined together by Bayesian formula to calculate the posterior probability distribution of subsurface parameters. By achieving the optimal solution corresponding to maximum posterior probability distribution, the low-frequency background of subsurface parameters can be obtained successfully. Then, with the regularization constraint of estimated low frequency in the Laplace mixed domains, multi-scale Bayesian inversion inthe pure frequency domain is exploited to obtain the absolute model parameters. The effectiveness, anti-noise capability and lateral continuity of Laplace mixed-domain inversion are illustrated by synthetic tests. Furthermore,one field case in the east of China is discussed carefully with different input frequency components and different inversion algorithms. This provides adequate proof to illustrate the reliability improvement in low-frequency estimation and resolution enhancement of subsurface parameters, in comparison with conventional Bayesian inversion in the frequency domain. 展开更多
关键词 LOW-FREQUENCY Complex mixed-domain Laplace inversion Bayesian estimation multi-scale inversion
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Runge-Kutta Multi-resolution Time-Domain Method for Modeling 3D Dielectric Curved Objects
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作者 朱敏 曹群生 +1 位作者 赵磊 王毅 《Transactions of Nanjing University of Aeronautics and Astronautics》 EI 2014年第4期440-444,共5页
A conformal Runge-Kutta multi-resolution time-domain(C-RKMRTD)method is present and applied to model and analyze curved objects.Compared with the non-conformal method,the proposed method is more accurate.The scatterin... A conformal Runge-Kutta multi-resolution time-domain(C-RKMRTD)method is present and applied to model and analyze curved objects.Compared with the non-conformal method,the proposed method is more accurate.The scattering analyses of the cylinder and ellipsoid are presented to validate the proposed method.The numerical results demonstrate that the proposed scheme perform better than the MRTD method and other higher order methods with a higher accuracy. 展开更多
关键词 conformality RUNGE-KUTTA multi-resolution time-domain(MRTD) SCATTERING
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分布式软件定义网络中多域流量工程的路由优化方法 被引量:1
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作者 王坤 吕光宏 +2 位作者 胥林 杨晗 邓慧 《重庆大学学报》 CAS CSCD 北大核心 2024年第7期110-124,共15页
针对分布式软件定义网络(software-defined networking,SDN)中流量管理调度不均衡的流量工程问题,提出一种基于负载均衡的多控制域流量路由优化的解决方案。首先分析控制消息流量的组成、域内通信及域间通信规则;然后基于4种控制消息定... 针对分布式软件定义网络(software-defined networking,SDN)中流量管理调度不均衡的流量工程问题,提出一种基于负载均衡的多控制域流量路由优化的解决方案。首先分析控制消息流量的组成、域内通信及域间通信规则;然后基于4种控制消息定义控制链路流量的构成,明确链路承载流量分为控制消息流量和业务流量,建立平衡控制器负载和最小化最大链路利用率的优化模型;最后基于域内通信和域间通信提出两层路由算法。为提高模型求解精度,进一步提出改进离散萤火虫算法求解最优路由。结合ABILENE网络和GEANT网络,分析控制消息流量、控制器负载和链路负载等评价指标。实验结果表明,优化模型能有效实现控制器和链路负载均衡,控制消息流量是流量工程重要组成部分。相比集中控制模式,扁平分布式控制模式的平均控制器负载降低47.3%,最大链路利用率相差不超过15%。 展开更多
关键词 软件定义网络 流量工程 多控制域 离散萤火虫算法
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Solving Strategy for Repetitious Simulation of Multi-domain Physical System Based on Modelica
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作者 JIANG Zhan-si WU Yi-zhong CHEN Li-ping 《Computer Aided Drafting,Design and Manufacturing》 2007年第2期58-70,共13页
Repetitious simulation after modifying parameters of multi-domain physical system based on Modelica often appears in model experiment and optimization design. At present, the solvers based on Modelica need calculate a... Repetitious simulation after modifying parameters of multi-domain physical system based on Modelica often appears in model experiment and optimization design. At present, the solvers based on Modelica need calculate all the coupled blocks during every simulation run after updating parameters. Based on discussing scale decomposition methods of simulation model, subdivision solving strategy and minimum solving strategy are put forward to improve the efficiency of repetitious simulation, by which the numerical solution of the simulation model can be achieved by only calculating the solving sequence influenced by altered parameters. A simplified model of aircraft is used to demonstrate the efficiency of the strategies presented. 展开更多
关键词 multi-domain physical system MODELICA SIMULATION subdivision solving minimum solving strategy
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基于主动尾流控制的风电机群协同优化调度 被引量:1
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作者 胡阳 张冲 +1 位作者 房方 刘吉臻 《动力工程学报》 CAS CSCD 北大核心 2024年第4期566-574,共9页
针对机组间尾流效应严重影响风电机组发电效率的问题,提出了风电机组安全偏航约束计算方法、尾流特性混合半机理建模方法以及风电机群多目标协同优化调度方法。基于FAST.FARM平台完善了多自由度可控机组与尾流的动态交互集成仿真环境,... 针对机组间尾流效应严重影响风电机组发电效率的问题,提出了风电机组安全偏航约束计算方法、尾流特性混合半机理建模方法以及风电机群多目标协同优化调度方法。基于FAST.FARM平台完善了多自由度可控机组与尾流的动态交互集成仿真环境,对比分析了2台机组串列式排布以及华东地区某海上风电场7台机组实际排布下的协同运行优化性能。结果表明:所建立的集成仿真模型能够合理表征风电机群与空气流场的多领域动态交互特性,所提方法能够有效提升风电机群发电效能,促进经济效益、资源利用和成本控制的均衡优化。 展开更多
关键词 风力发电 多领域集成仿真 主动偏航控制 混合半机理建模 多目标优化调度
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Acquisition of Weak Signals in Multi-Constellation Frequency Domain Receivers
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作者 Kaveh Mollaiyan Rock Santerre René Jr. Landry 《Positioning》 2013年第2期144-152,共9页
New positioning applications’ availability requirements demand receivers with higher sensitivities and ability to process multiple GNSS signals. Possible applications include acquiring one signal per GNSS constellati... New positioning applications’ availability requirements demand receivers with higher sensitivities and ability to process multiple GNSS signals. Possible applications include acquiring one signal per GNSS constellation in the same frequency band and combining them for increased sensitivity or predicting acquisition of other signals. Frequency domain processing can be used for this purpose, since it benefits from parallel processing capabilities of Fast Fourier Transform (FFT), which can be efficiently implemented in software receivers. On the other hand, long coherent integration times are mainly limited due to large FFT size in receivers using frequency domain techniques. A new method is proposed to address the problems in frequency domain receivers without compromising the resources and execution time. A pre-correlation accumulation (PCA) is proposed to partition the received samples into one-code-period blocks, and to sum them together. As a result, the noise is averaged out and the correlation results will gain more power, provided that the relative phase between the data segments is compensated for. In addition to simplicity, the proposed PCA method enables the use of one-size FFT for all integration times. A post-correlation peak combination is also proposed to remove the need for double buffering. The proposed methods are implemented in a configurable Simulink model, developed for acquiring recorded GNSS signals. For weak signal scenarios, a Spirent GPS simulator is used as a source. Acquisition results for GPS L1 C/A and GLONASS L1OF are shown and the performance of the proposed technique is discussed. The proposed techniques target GNSS receivers using frequency domain processing aiming at accommodating all the GNSS signals, while minimizing resource usage. They also apply to weak signal acquisition in frequency domain to answer the availability demand of today’s GNSS positioning applications. 展开更多
关键词 FFT ACQUISITION Frequency domain RECEIVER WEAK Signal multi-Constellation
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RECONSTRUCTION OF ONE DIMENSIONAL MULTI-LAYERED MEDIA BY USING A TIME DOMAIN SIGNAL FLOW GRAPH TECHNIQUE 被引量:1
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作者 崔铁军 梁昌洪 《Journal of Electronics(China)》 1993年第2期162-169,共8页
A novel inverse scattering method to reconstruct the permittivity profile of one-dimensional multi-layered media is proposed in this paper.Based on the equivalent network ofthe medium,a concept of time domain signal f... A novel inverse scattering method to reconstruct the permittivity profile of one-dimensional multi-layered media is proposed in this paper.Based on the equivalent network ofthe medium,a concept of time domain signal flow graph and its basic principles are introduced,from which the reflection coefficient of the medium in time domain can be shown to be a series ofDirac δ-functions(pulse responses).In terms of the pulse responses,we will reconstruct both thepermittivity and the thickness of each layer will accurately be reconstructed.Numerical examplesverify the applicability of this 展开更多
关键词 multi-layered MEDIUM Reconstruct PERMITTIVITY profile INVERSE SCATTERING Time domain signal flow GRAPH
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