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Random Crank-Nicolson Scheme for Random Heat Equation in Mean Square Sense 被引量:1
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作者 M. T. Yassen M. A. Sohaly Islam Elbaz 《American Journal of Computational Mathematics》 2016年第2期66-73,共8页
The goal of computational science is to develop models that predict phenomena observed in nature. However, these models are often based on parameters that are uncertain. In recent decades, main numerical methods for s... The goal of computational science is to develop models that predict phenomena observed in nature. However, these models are often based on parameters that are uncertain. In recent decades, main numerical methods for solving SPDEs have been used such as, finite difference and finite element schemes [1]-[5]. Also, some practical techniques like the method of lines for boundary value problems have been applied to the linear stochastic partial differential equations, and the outcomes of these approaches have been experimented numerically [7]. In [8]-[10], the author discussed mean square convergent finite difference method for solving some random partial differential equations. Random numerical techniques for both ordinary and partial random differential equations are treated in [4] [10]. As regards applications using explicit analytic solutions or numerical methods, a few results may be found in [5] [6] [11]. This article focuses on solving random heat equation by using Crank-Nicol- son technique under mean square sense and it is organized as follows. In Section 2, the mean square calculus preliminaries that will be required throughout the paper are presented. In Section 3, the Crank-Nicolson scheme for solving the random heat equation is presented. In Section 4, some case studies are showed. Short conclusions are cleared in the end section. 展开更多
关键词 Random Partial Differential Equations (RPDEs) mean square sense (m.s) Second Order Random Variable (2r.v.'s) Random Crank-Nicolson Scheme CONVERGENCE CONSISTENCY Stability
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改进dq变换的动态电压恢复器检测新方法 被引量:5
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作者 黄永红 施慧 +1 位作者 徐俊俊 张云帅 《电力系统及其自动化学报》 CSCD 北大核心 2016年第10期117-122,共6页
为了满足动态电压恢复器的电压暂降检测实时性和准确性要求,提出了基于自适应最小均方LMS(leastmean square)滤波器及其软件锁相环的改进dq变换新方法。结合自适应LMS算法与延时正反馈构成数字滤波器,将其应用于dq变换的软件锁相环控制... 为了满足动态电压恢复器的电压暂降检测实时性和准确性要求,提出了基于自适应最小均方LMS(leastmean square)滤波器及其软件锁相环的改进dq变换新方法。结合自适应LMS算法与延时正反馈构成数字滤波器,将其应用于dq变换的软件锁相环控制过程中。并使滤波环节提前,采用求导法代替传统低通滤波器瞬时分离出dq坐标系下的直流分量。该方法可提高电压采样值的准确度,实现有效锁相,提高电压暂降检测精度及响应速度。通过PSCAD/EMTDC进行仿真验证,结果表明了该方法的有效性。 展开更多
关键词 电压暂降检测 dq变换 自适应最小均方滤波器 软件锁相环 求导法
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