In this paper, based on the element-free Galerkin （EFG） method and the improved complex variable moving least- square （ICVMLS） approximation, a new meshless method, which is the improved complex variable element-f...In this paper, based on the element-free Galerkin （EFG） method and the improved complex variable moving least- square （ICVMLS） approximation, a new meshless method, which is the improved complex variable element-free Galerkin （ICVEFG） method for two-dimensional potential problems, is presented. In the method, the integral weak form of control equations is employed, and the Lagrange multiplier is used to apply the essential boundary conditions. Then the corresponding formulas of the ICVEFG method for two-dimensional potential problems are obtained. Compared with the complex variable moving least-square （CVMLS） approximation proposed by Cheng, the functional in the ICVMLS approximation has an explicit physical meaning. Furthermore, the ICVEFG method has greater computational precision and efficiency. Three numerical examples are given to show the validity of the proposed method.展开更多
针对变压器故障诊断中油溶气体技术的改良三比值法存在故障区域边界值判断模糊的问题,在分析改良三比值法的基础上,以欧式距离来表征隶属每种故障概率大小的形式,建立了不同故障下的基本信任分配函数(BBA)诊断模型进行变压器故障诊断,...针对变压器故障诊断中油溶气体技术的改良三比值法存在故障区域边界值判断模糊的问题,在分析改良三比值法的基础上,以欧式距离来表征隶属每种故障概率大小的形式,建立了不同故障下的基本信任分配函数(BBA)诊断模型进行变压器故障诊断,并采用D-S合成规则对不同故障的BBA进行融合,实现了对多BBA模型函数重新构造以及归一表述的功能。利用该模型对长春某500 k VA变电站的变压器故障进行实例计算,并通过改良三比值法和模糊算法进行对比分析。结果表明:该诊断模型能准确、有效地对变压器的多种常见故障进行诊断;用计算隶属故障概率的形式弥补了改良三比值法边界值计算模糊的缺陷,使故障的判别更加趋于真实准确,为电力变压器故障诊断提供了一种有效的方法。展开更多
′In this article, we use the fractional complex transformation to convert nonlinear partial fractional differential equations to nonlinear ordinary differential equations. We use the improved （G′/G）-expansion func...′In this article, we use the fractional complex transformation to convert nonlinear partial fractional differential equations to nonlinear ordinary differential equations. We use the improved （G′/G）-expansion function method to calculate the exact solutions to the time- and space-fractional derivative foam drainage equation and the time- and space-fractional derivative nonlinear KdV equation. This method is efficient and powerful for solving wide classes of nonlinear evolution fractional order equations.展开更多
基金Project supported by the National Natural Science Foundation of China (Grant No. 11171208)the Shanghai Leading Academic Discipline Project, China (Grant No. S30106)the Innovation Fund Project for Graduate Student of Shanghai University,China (Grant No. SHUCX112359)
文摘In this paper, based on the element-free Galerkin （EFG） method and the improved complex variable moving least- square （ICVMLS） approximation, a new meshless method, which is the improved complex variable element-free Galerkin （ICVEFG） method for two-dimensional potential problems, is presented. In the method, the integral weak form of control equations is employed, and the Lagrange multiplier is used to apply the essential boundary conditions. Then the corresponding formulas of the ICVEFG method for two-dimensional potential problems are obtained. Compared with the complex variable moving least-square （CVMLS） approximation proposed by Cheng, the functional in the ICVMLS approximation has an explicit physical meaning. Furthermore, the ICVEFG method has greater computational precision and efficiency. Three numerical examples are given to show the validity of the proposed method.
文摘针对变压器故障诊断中油溶气体技术的改良三比值法存在故障区域边界值判断模糊的问题,在分析改良三比值法的基础上,以欧式距离来表征隶属每种故障概率大小的形式,建立了不同故障下的基本信任分配函数(BBA)诊断模型进行变压器故障诊断,并采用D-S合成规则对不同故障的BBA进行融合,实现了对多BBA模型函数重新构造以及归一表述的功能。利用该模型对长春某500 k VA变电站的变压器故障进行实例计算,并通过改良三比值法和模糊算法进行对比分析。结果表明:该诊断模型能准确、有效地对变压器的多种常见故障进行诊断;用计算隶属故障概率的形式弥补了改良三比值法边界值计算模糊的缺陷,使故障的判别更加趋于真实准确,为电力变压器故障诊断提供了一种有效的方法。
文摘′In this article, we use the fractional complex transformation to convert nonlinear partial fractional differential equations to nonlinear ordinary differential equations. We use the improved （G′/G）-expansion function method to calculate the exact solutions to the time- and space-fractional derivative foam drainage equation and the time- and space-fractional derivative nonlinear KdV equation. This method is efficient and powerful for solving wide classes of nonlinear evolution fractional order equations.
