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High-end equipment development task decomposition and scheme selection method 被引量:4
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作者 XU Xiangqian YANG Kewei +3 位作者 DOU Yajie ZHOU Zhexuan CHEN Ziyi TAN Yuejin 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2021年第1期118-135,共18页
Decomposition of tasks and selection of optimal schemes are key procedures in high-end equipment development processes.However,such procedures are highly innovative,technology intensive,interdisciplinary,and multi-par... Decomposition of tasks and selection of optimal schemes are key procedures in high-end equipment development processes.However,such procedures are highly innovative,technology intensive,interdisciplinary,and multi-party engineering projects,making the decomposition and scheme selection more difficult and complicated than that in the development of ordinary equipment.In this study,we consider three factors,namely,functional structure,task granularity,and task feasibility in task decomposition of high-end equipment development.Based on the principles of systems engineering,a method of task decomposition is proposed.As for decomposition scheme selection,a method based on the superiority and inferiority ranking(SIR)method mixed information and multiple attribute decision making is proposed by considering attributes of scheme feasibility,uncertainty risk and task integration complexity.To verify the proposed method,development of a military electric vehicle is used as an example to demonstrate the calculation process. 展开更多
关键词 high-end equipment task decomposition decomposition scheme selection
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Solving Different Types of Differential Equations Using Modified and New Modified Adomian Decomposition Methods
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作者 Justina Mulenga Patrick Azere Phiri 《Journal of Applied Mathematics and Physics》 2023年第6期1656-1676,共21页
The Modified Adomian Decomposition Method (MADM) is presented. A number of problems are solved to show the efficiency of the method. Further, a new solution scheme for solving boundary value problems with Neumann cond... The Modified Adomian Decomposition Method (MADM) is presented. A number of problems are solved to show the efficiency of the method. Further, a new solution scheme for solving boundary value problems with Neumann conditions is proposed. The scheme is based on the modified Adomian decomposition method and the inverse linear operator theorem. Several differential equations with Neumann boundary conditions are solved to demonstrate the high accuracy and efficiency of the proposed scheme. 展开更多
关键词 Neumann Conditions Modified Adomian decomposition Method Solution scheme New Modified Adomian decomposition Method Differential Equations
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On the Application of Adomian Decomposition Method to Special Equations in Physical Sciences
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作者 Aishah Alsulami Mariam Al-Mazmumy +1 位作者 Huda Bakodah Nawal Alzaid 《American Journal of Computational Mathematics》 2023年第3期387-397,共11页
The current manuscript makes use of the prominent iterative procedure, called the Adomian Decomposition Method (ADM), to tackle some important special differential equations. The equations of curiosity in this study a... The current manuscript makes use of the prominent iterative procedure, called the Adomian Decomposition Method (ADM), to tackle some important special differential equations. The equations of curiosity in this study are the singular equations that arise in many physical science applications. Thus, through the application of the ADM, a generalized recursive scheme was successfully derived and further utilized to obtain closed-form solutions for the models under consideration. The method is, indeed, fascinating as respective exact analytical solutions are accurately acquired with only a small number of iterations. 展开更多
关键词 Iterative scheme Adomian decomposition Method Initial-Value Problems Singular Ordinary Differential Equations
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A NEW TWO-DIMENSIONAL SIGNAL DECOMPOSITION SCHEME USING THE EXTREME-LIFTING SCHEME
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作者 Liu Baofang Ping Xijian Deng Guanglin Shao Meizhen(Dept. of Info. Sci., University of Information Engineering, Zhengzhou 450002)(P.O.Box 1965, Beijing 100091) 《Journal of Electronics(China)》 2001年第2期105-112,共8页
This paper discusses the signal decomposition method using the extreme-lifting scheme and two two-dimensional decomposition schemes: separable one-dimensional scheme and two-dimensional scheme with quincunx sampling. ... This paper discusses the signal decomposition method using the extreme-lifting scheme and two two-dimensional decomposition schemes: separable one-dimensional scheme and two-dimensional scheme with quincunx sampling. The structure of the relation "~" between Ex and Ey of these two schemes is symmetrical and both these two schemes have shortcomings)An unsymmetrical scheme of the extreme-lifting scheme is proposed in this paper, which canbe directly used to decompose two-dimensional image and can get better decomposition result than the two schemes with little computation cost. 展开更多
关键词 SIGNAL decomposition Min-lifting scheme Quincunx sampling LIFTING scheme
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Overlapping Domain Decomposition Finite Difference Algorithm for Compact Difference Scheme of the Heat Conduction Equation
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作者 张红梅 《Chinese Quarterly Journal of Mathematics》 2015年第4期495-502,共8页
In this paper, a modified additive Schwarz finite difference algorithm is applied in the heat conduction equation of the compact difference scheme. The algorithm is on the basis of domain decomposition and the subspac... In this paper, a modified additive Schwarz finite difference algorithm is applied in the heat conduction equation of the compact difference scheme. The algorithm is on the basis of domain decomposition and the subspace correction. The basic train of thought is the introduction of the units function decomposition and reasonable distribution of the overlap of correction. The residual correction is conducted on each subspace while the computation is completely parallel. The theoretical analysis shows that this method is completely characterized by parallel. 展开更多
关键词 heat equation compact difference scheme domain decomposition partition of unity subspace correction
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An Evolutionary Algorithm Based on a New Decomposition Scheme for Nonlinear Bilevel Programming Problems
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作者 Hecheng LI Yuping WANG 《International Journal of Communications, Network and System Sciences》 2010年第1期87-93,共7页
In this paper, we focus on a class of nonlinear bilevel programming problems where the follower’s objective is a function of the linear expression of all variables, and the follower’s constraint functions are convex... In this paper, we focus on a class of nonlinear bilevel programming problems where the follower’s objective is a function of the linear expression of all variables, and the follower’s constraint functions are convex with respect to the follower’s variables. First, based on the features of the follower’s problem, we give a new decomposition scheme by which the follower’s optimal solution can be obtained easily. Then, to solve efficiently this class of problems by using evolutionary algorithm, novel evolutionary operators are designed by considering the best individuals and the diversity of individuals in the populations. Finally, based on these techniques, a new evolutionary algorithm is proposed. The numerical results on 20 test problems illustrate that the proposed algorithm is efficient and stable. 展开更多
关键词 Nonlinear Bilevel PROGRAMMING decomposition scheme EVOLUTIONARY Algorithm Optimal SOLUTIONS
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An efficient parallel algorithm for ocean circulation numerical model based on irregular rectangle decomposition scheme
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作者 ZHUANG Zhanpeng YUAN Yeli +2 位作者 ZHANG Jie HAN Lei YANG Jungang 《Acta Oceanologica Sinica》 SCIE CAS CSCD 2016年第5期18-23,共6页
A parallel algorithm of circulation numerical model based on message passing interface(MPI) is developed using serialization and an irregular rectangle decomposition scheme. Neighboring point exchange strategy(NPES... A parallel algorithm of circulation numerical model based on message passing interface(MPI) is developed using serialization and an irregular rectangle decomposition scheme. Neighboring point exchange strategy(NPES) is adopted to further enhance the computational efficiency. Two experiments are conducted on HP C7000 Blade System, the numerical results show that the parallel version with NPES(PVN) produces higher efficiency than the original parallel version(PV). The PVN achieves parallel efficiency in excess of 0.9 in the second experiment when the number of processors increases to 100, while the efficiency of PV decreases to 0.39 rapidly. The PVN of ocean circulation model is used in a fine-resolution regional simulation, which produces better results. The capability of universal implementation of this algorithm makes it applicable in many other ocean models potentially. 展开更多
关键词 irregular rectangle decomposition scheme message passing interface(MPI) neighboring point exchange strategy data communication
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An Explicit-Implicit Predictor-Corrector Domain Decomposition Method for Time Dependent Multi-Dimensional Convection Diffusion Equations 被引量:1
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作者 Liyong Zhu Guangwei Yuan Qiang Du 《Numerical Mathematics(Theory,Methods and Applications)》 SCIE 2009年第3期301-325,共25页
The numerical solution of large scale multi-dimensional convection diffusion equations often requires efficient parallel algorithms.In this work,we consider the extension of a recently proposed non-overlapping domain ... The numerical solution of large scale multi-dimensional convection diffusion equations often requires efficient parallel algorithms.In this work,we consider the extension of a recently proposed non-overlapping domain decomposition method for two dimensional time dependent convection diffusion equations with variable coefficients. By combining predictor-corrector technique,modified upwind differences with explicitimplicit coupling,the method under consideration provides intrinsic parallelism while maintaining good stability and accuracy.Moreover,for multi-dimensional problems, the method can be readily implemented on a multi-processor system and does not have the limitation on the choice of subdomains required by some other similar predictor-corrector or stabilized schemes.These properties of the method are demonstrated in this work through both rigorous mathematical analysis and numerical experiments. 展开更多
关键词 Convection diffusion equation parallel algorithm domain decomposition modifiedupwind differences PREDICTOR-CORRECTOR explicit-implicit scheme convergence analysis.
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风电叶片铺层三维激光投影系统标定方案
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作者 周爱国 尉皓智 +1 位作者 朱玉田 梁钊泉 《起重运输机械》 2024年第7期73-78,共6页
为提高风电叶片复合材料多层铺贴的质量与效率,文中设计了一套视觉辅助自动标定的三维激光投影系统。系统采用全反射镜作为标靶,引入红外相机,建立视觉辅助的投影系统模型,利用相机与激光振镜间图像的单应性关系,标定二者之间的转换关系... 为提高风电叶片复合材料多层铺贴的质量与效率,文中设计了一套视觉辅助自动标定的三维激光投影系统。系统采用全反射镜作为标靶,引入红外相机,建立视觉辅助的投影系统模型,利用相机与激光振镜间图像的单应性关系,标定二者之间的转换关系,并由此解算投影标靶在振镜投影坐标系的位姿,最后利用奇异值分解的方法求解激光振镜的投影矩阵。通过自主搭建三维激光投影系统实验平台,以投影幕布和网格纸作为投影面进行重投影试验,证明系统的可行性。实验结果表明,系统可以实现三维激光投影系统的自动标定,在投影距离为3 m的情况下,投影精度达到3.3 mm。 展开更多
关键词 风电叶片 三维激光投影 单应性矩阵 奇异值分解 标定方案
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战术级任务规划方法研究综述
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作者 杜伟伟 陈小伟 《兵工学报》 EI CAS CSCD 北大核心 2024年第10期3341-3355,共15页
随着武器装备向多元多能和体系化运用发展,现代战争对指挥决策全局性、时效性和科学性等方面的要求越来越高,各军事强国任务规划系统建设需求迫切,且发展很快。为更好地推进任务规划系统研究,对战术级任务规划方法进行全面综述。总结任... 随着武器装备向多元多能和体系化运用发展,现代战争对指挥决策全局性、时效性和科学性等方面的要求越来越高,各军事强国任务规划系统建设需求迫切,且发展很快。为更好地推进任务规划系统研究,对战术级任务规划方法进行全面综述。总结任务规划系统的发展历程、战术级任务规划的方法框架,重点综述战术级任务规划主要实现方法及未来发展方向。在主要实现方法方面,重点围绕任务描述、任务分解、任务分配、方案评估等业务中涉及的主要方法进行综述和分析;在未来发展方向方面,从规范性、通用性、可信性等方面提出发展建议。 展开更多
关键词 战术级任务规划 任务分解 任务分配 方案评估
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一维边界阻尼波动方程的三层隐式θ-差分格式及其降维算法
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作者 马湘荣 李宏 《应用数学》 北大核心 2024年第4期1087-1102,共16页
针对边界阻尼波动方程构造全离散三层隐式加权有限差分θ-格式,证明了当θ<1/2时,具有时间一阶精度和空间二阶精度;当θ=1/2时,关于时间和空间都是二阶精度格式,并证明该格式在θ≤1/2时是无条件稳定的.特别是,利用特征投影分解(POD... 针对边界阻尼波动方程构造全离散三层隐式加权有限差分θ-格式,证明了当θ<1/2时,具有时间一阶精度和空间二阶精度;当θ=1/2时,关于时间和空间都是二阶精度格式,并证明该格式在θ≤1/2时是无条件稳定的.特别是,利用特征投影分解(POD)法对该格式做降维,建立了θ-格式的POD降维算法,分析了POD降维算法解的稳定性和误差.最后,利用数值算例验证了上述所有理论结果的正确性. 展开更多
关键词 边界阻尼波动方程 有限差分格式 收敛性和稳定性 特征投影分解 优化算法
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Optimized finite difference iterative scheme based on POD technique for 2D viscoelastic wave equation 被引量:1
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作者 Hong XIA Zhendong LUO 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI CSCD 2017年第12期1721-1732,共12页
This study develops an optimized finite difference iterative (OFDI) scheme for the two-dimensional (2D) viscoelastic wave equation. The OFDI scheme is obtained using a proper orthogonal decomposition (POD) metho... This study develops an optimized finite difference iterative (OFDI) scheme for the two-dimensional (2D) viscoelastic wave equation. The OFDI scheme is obtained using a proper orthogonal decomposition (POD) method. It has sufficiently high accuracy with very few unknowns for the 2D viscoelastic wave equation. Existence, stability, and convergence of the OFDI solutions are analyzed. Numerical simulations verify efficiency and feasibility of the proposed scheme. 展开更多
关键词 optimized finite difference iterative (OFDI) scheme viscoelastic wave equation proper orthogonal decomposition (POD) EXISTENCE STABILITY CONVERGENCE numericalsimulation
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Reduced finite difference scheme and error estimates based on POD method for non-stationary Stokes equation
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作者 罗振东 欧秋兰 谢正辉 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2011年第7期847-858,共12页
The proper orthogonal decomposition (POD) is a model reduction technique for the simulation Of physical processes governed by partial differential equations (e.g., fluid flows). It has been successfully used in th... The proper orthogonal decomposition (POD) is a model reduction technique for the simulation Of physical processes governed by partial differential equations (e.g., fluid flows). It has been successfully used in the reduced-order modeling of complex systems. In this paper, the applications of the POD method are extended, i.e., the POD method is applied to a classical finite difference (FD) scheme for the non-stationary Stokes equation with a real practical applied background. A reduced FD scheme is established with lower dimensions and sufficiently high accuracy, and the error estimates are provided between the reduced and the classical FD solutions. Some numerical examples illustrate that the numerical results are consistent with theoretical conclusions. Moreover, it is shown that the reduced FD scheme based on the POD method is feasible and efficient in solving the FD scheme for the non-stationary Stokes equation. 展开更多
关键词 finite difference scheme proper orthogonal decomposition error estimate non-stationary Stokes equation
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On the Extension of the Three-Term Recurrence Relation to Probabilities Distributions without Moments
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作者 Habib Rebei Anis Riahi 《Journal of Applied Mathematics and Physics》 2018年第3期588-601,共14页
In this paper, we extend the three-term recurrence relation for orthogonal polynomials associated with a probability distribution having a finite moment of all orders to a class of orthogonal functions associated with... In this paper, we extend the three-term recurrence relation for orthogonal polynomials associated with a probability distribution having a finite moment of all orders to a class of orthogonal functions associated with an infinitely divisible probability distribution &#181;?having a finite moments of order less or equal to four. An explicit expression of these functions will be given in term of the Lévy-Khintchine function of the measure?&#181;. 展开更多
关键词 three-term RECURRENCE Relation Quantum decomposition of Random Variables WITHOUT MOMENTS Lévy-Khintchine Function
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基于层次任务网络的作战任务 系统功能映射方法 被引量:1
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作者 易侃 张杰勇 +1 位作者 焦志强 王哲 《系统工程与电子技术》 EI CSCD 北大核心 2023年第10期3183-3191,共9页
针对作战任务系统功能映射问题,建立了作战任务与系统功能的模型。基于任务/能力可以分解的特点,将映射问题转化为智能规划问题,并利用层次任务网络(hierarchical task network,HTN)方法对该问题进行求解。针对HTN规划器无法处理多属性... 针对作战任务系统功能映射问题,建立了作战任务与系统功能的模型。基于任务/能力可以分解的特点,将映射问题转化为智能规划问题,并利用层次任务网络(hierarchical task network,HTN)方法对该问题进行求解。针对HTN规划器无法处理多属性输入的问题,基于递归的思想设计了任务分解算法,使得分解后任务转化的规划问题适配HTN规划器。针对多个映射方案的整合问题,基于邻接矩阵设计了多方案的整合算法,从而得到了满足任务需求的系统功能映射方案。仿真实验结果表明,所提方法能够有效实现作战任务到系统功能的映射。 展开更多
关键词 任务功能映射 智能规划 层次任务网络 任务分解 方案整合
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Finite difference scheme based on proper orthogonal decomposition for the nonstationary Navier-Stokes equations 被引量:20
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作者 Zhen-dong LUO Rui-wen WANG Jiang ZHU 《Science China Mathematics》 SCIE 2007年第8期1186-1196,共11页
The proper orthogonal decomposition(POD)and the singular value decomposition(SVD) are used to study the finite difference scheme(FDS)for the nonstationary Navier-Stokes equations. Ensembles of data are compiled from t... The proper orthogonal decomposition(POD)and the singular value decomposition(SVD) are used to study the finite difference scheme(FDS)for the nonstationary Navier-Stokes equations. Ensembles of data are compiled from the transient solutions computed from the discrete equation system derived from the FDS for the nonstationary Navier-Stokes equations.The optimal orthogonal bases are reconstructed by the elements of the ensemble with POD and SVD.Combining the above procedures with a Galerkin projection approach yields a new optimizing FDS model with lower dimensions and a high accuracy for the nonstationary Navier-Stokes equations.The errors between POD approximate solutions and FDS solutions are analyzed.It is shown by considering the results obtained for numerical simulations of cavity flows that the error between POD approximate solution and FDS solution is consistent with theoretical results.Moreover,it is also shown that this validates the feasibility and efficiency of POD method. 展开更多
关键词 proper orthogonal decomposition singular value decomposition finite difference scheme the nonstationary Navier-Stokes equations 65N30 35Q10
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基于实体结构分解的设计转施工模型研究
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作者 栗伟 赵博洋 +2 位作者 陈翔 刘昭 王兴鲁 《铁道标准设计》 北大核心 2023年第10期214-220,232,共8页
为解决铁路领域设计阶段模型传递给施工阶段存在的重复建模和模型与业务关联度不高的问题。提出一种标准化的模型转化方案,并探索基于该方案的模型与施工业务关联的方法。分析设计阶段和施工阶段的编码体系对应关系,提出实体结构分解的... 为解决铁路领域设计阶段模型传递给施工阶段存在的重复建模和模型与业务关联度不高的问题。提出一种标准化的模型转化方案,并探索基于该方案的模型与施工业务关联的方法。分析设计阶段和施工阶段的编码体系对应关系,提出实体结构分解的最佳方案。该方案将设计阶段模型按照施工业务的不同组成部分进行拆解,以保留模型的细节和关联信息。为实现模型转化,研究开发自动赋码和编码模板关联管理的软件工具,以减少工作量和人为赋码的错误。研究结果显示,采用该标准化模型转化方案的项目在质量管理方面、进度管理方面取得提升,并实现成本节约。本研究结论为该模型转化方案有效支持施工业务管理,提高项目管理的效率和质量,减少误差和重复工作,实现成本节约和整体绩效的提升。基于现有标准和规范体系,具有较好的可复制性,为不同建设领域基于BIM的全周期管理提供有益的参考,并展示铁路领域在设计与施工阶段实现模型转化的创新点。 展开更多
关键词 BIM技术 设计阶段 施工阶段 模型转化方案 结构分解 编码关联 部位树 铁路工程
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基于提升小波包的往复压缩机活塞-缸套磨损故障诊断 被引量:10
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作者 陈敬龙 张来斌 +1 位作者 段礼祥 胡超 《中国石油大学学报(自然科学版)》 EI CAS CSCD 北大核心 2011年第1期130-134,145,共6页
针对往复压缩机活塞-缸套磨损故障微弱信号特征识别问题,提出一种识别该类信号微弱特征的自适应非抽样提升小波包方法(AULSP)。该方法以分解层信号所有样本的预测差值平方和最小为目标函数,算出与信号特征自适应匹配的初始算子,并构造... 针对往复压缩机活塞-缸套磨损故障微弱信号特征识别问题,提出一种识别该类信号微弱特征的自适应非抽样提升小波包方法(AULSP)。该方法以分解层信号所有样本的预测差值平方和最小为目标函数,算出与信号特征自适应匹配的初始算子,并构造非抽样算子算出下一层各频带信号。对各层细节信号进行阈值处理并重构,对降噪后的信号再进行小波包分解。各分解频带信号长度与原始信号的长度相同,无须重构即可识别时域故障微弱信号特征。用这种方法成功提取了某往复压缩机活塞与缸壁发生碰磨故障时产生的弱周期性冲击信号。 展开更多
关键词 提升小波包 往复压缩机 磨损 信号分解 诊断
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两种积云对流参数化方案对1998年区域气候季节变化模拟的影响研究 被引量:18
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作者 胡轶佳 钟中 闵锦忠 《大气科学》 CSCD 北大核心 2008年第1期90-100,共11页
利用区域气候模式RegCM3,选择Kuo-Anthes积云对流参数化方案和基于FC80假设的Grell积云对流参数化方案,对1998年东亚气候分别进行年尺度模拟,模拟结果对比分析表明:在春、夏季转换时期,两者模拟的降水形势差别较大,对江淮、中南和华南... 利用区域气候模式RegCM3,选择Kuo-Anthes积云对流参数化方案和基于FC80假设的Grell积云对流参数化方案,对1998年东亚气候分别进行年尺度模拟,模拟结果对比分析表明:在春、夏季转换时期,两者模拟的降水形势差别较大,对江淮、中南和华南地区的夏季降水量模拟差别最为明显。对流层上层模式变量和模式大气质量对积云对流参数化方案的选择不敏感,而对流层中、下层模式变量对积云对流参数化方案比较敏感。不同积云对流参数化方案对8天时间尺度的天气系统模拟差别比较大。在积云对流比较活跃的夏季,不同参数化方案会导致模式大气出现不同的系统性偏差。由于模式在陡峭地形处动力过程计算方案存在缺陷,在高原与盆地的交界处,模式误差会产生明显的突变。 展开更多
关键词 区域气候模式 积云对流参数化方案 小波分解 系统性偏差
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基于谐波功率分解的奖惩性电能计量方法 被引量:11
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作者 代双寅 杨君超 李琼林 《电力系统保护与控制》 EI CSCD 北大核心 2016年第1期111-116,共6页
为了合理地计量谐波电能,提出了一种基于谐波功率分解的奖惩性电能计量方法。根据谐波电压、电流采样数据采用复线性最小二乘法估算谐波等值电路参数,然后通过谐波功率分解求解系统谐波功率和用户谐波功率,基于奖惩性计量模型即可得到... 为了合理地计量谐波电能,提出了一种基于谐波功率分解的奖惩性电能计量方法。根据谐波电压、电流采样数据采用复线性最小二乘法估算谐波等值电路参数,然后通过谐波功率分解求解系统谐波功率和用户谐波功率,基于奖惩性计量模型即可得到奖惩性谐波功率。该方法考虑了公共连接点处谐波功率的分解,能够更合理地计量典型工况下的谐波功率。最后以IEEE14节点系统为例进行仿真分析,结果验证了所提方法的合理性和实用性。 展开更多
关键词 谐波 计量 奖惩性方案 功率分解 复线性最小二乘法
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