系统的网络拓扑结构有任何的变化时,系统的节点导纳矩阵就会相应变化。网络固有结构理论(ISTN:the in-herent structure theory of network)正是通过对系统的节点导纳矩阵分解,结合灵敏度法分析系统结构的变化与系统节点状态的关系。提...系统的网络拓扑结构有任何的变化时,系统的节点导纳矩阵就会相应变化。网络固有结构理论(ISTN:the in-herent structure theory of network)正是通过对系统的节点导纳矩阵分解,结合灵敏度法分析系统结构的变化与系统节点状态的关系。提出了主导特征值的选取范围,简化了计算元素。通过建立系统各次谐波的节点导纳矩阵,求解对应的灵敏度矩阵,并运用该理论寻找配电网中各次谐波滤波器的最佳配置位置的候选节点集,以所有节点的电压谐波和电压失真的目标函数值最小确定配电网中集中配置滤波器的最佳位置。对实例分析计算的数据证明该方法的准确性。展开更多
The sensitivity calculating formulas in structural dynamics was developed by utilizing the mathematical theorem and new definitions of sensitivities. So the singularity problem of sensitivity with repeated eigenvalues...The sensitivity calculating formulas in structural dynamics was developed by utilizing the mathematical theorem and new definitions of sensitivities. So the singularity problem of sensitivity with repeated eigenvalues is solved completely. To improve the computational efficiency, the reduction system is obtained based on Lanczos vectors. After incorporating the mathematical theory with the Lanczos algorithm, the approximate sensitivity solution can be obtained. A numerical example is presented to illustrate the performance of the method.展开更多
A procedure is presented for computing the derivatives of repeated eigenvalues and the corresponding eigenvectors of damped systems. The derivatives are calculated in terms of the eigenvalues and eigenvectors of the s...A procedure is presented for computing the derivatives of repeated eigenvalues and the corresponding eigenvectors of damped systems. The derivatives are calculated in terms of the eigenvalues and eigenvectors of the second-order system, and the use of rather undesirable state space representation is avoided. Hence the cost of computation is greatly reduced. The efficiency of the proposed procedure is illustrated by considering a 5-DOF non-proportionally damped system.展开更多
In this paper, a computation method has been developed so as to compare the finite element method (FEM) with the test results directly. The structure is divided into the 'master' and 'slave' degrees of...In this paper, a computation method has been developed so as to compare the finite element method (FEM) with the test results directly. The structure is divided into the 'master' and 'slave' degrees of freedom. The simplified model can be obtained with modal reduction. Then the design sensitivity analysis of the eigenvalues and eigenvectors has been carried out using the modal frequency and modal shape of the test. A two-story frame structure and a jacket model structure have been calculated. Meanwhile, the modified coefficient, the FEM computational and experimental values have been given. It has been shown that the FEM model modified using the test modal value is efficient.展开更多
文摘系统的网络拓扑结构有任何的变化时,系统的节点导纳矩阵就会相应变化。网络固有结构理论(ISTN:the in-herent structure theory of network)正是通过对系统的节点导纳矩阵分解,结合灵敏度法分析系统结构的变化与系统节点状态的关系。提出了主导特征值的选取范围,简化了计算元素。通过建立系统各次谐波的节点导纳矩阵,求解对应的灵敏度矩阵,并运用该理论寻找配电网中各次谐波滤波器的最佳配置位置的候选节点集,以所有节点的电压谐波和电压失真的目标函数值最小确定配电网中集中配置滤波器的最佳位置。对实例分析计算的数据证明该方法的准确性。
文摘The sensitivity calculating formulas in structural dynamics was developed by utilizing the mathematical theorem and new definitions of sensitivities. So the singularity problem of sensitivity with repeated eigenvalues is solved completely. To improve the computational efficiency, the reduction system is obtained based on Lanczos vectors. After incorporating the mathematical theory with the Lanczos algorithm, the approximate sensitivity solution can be obtained. A numerical example is presented to illustrate the performance of the method.
基金Project supported by the Mathematical Tianyuan Foundation of China (No. 10626019)
文摘A procedure is presented for computing the derivatives of repeated eigenvalues and the corresponding eigenvectors of damped systems. The derivatives are calculated in terms of the eigenvalues and eigenvectors of the second-order system, and the use of rather undesirable state space representation is avoided. Hence the cost of computation is greatly reduced. The efficiency of the proposed procedure is illustrated by considering a 5-DOF non-proportionally damped system.
文摘In this paper, a computation method has been developed so as to compare the finite element method (FEM) with the test results directly. The structure is divided into the 'master' and 'slave' degrees of freedom. The simplified model can be obtained with modal reduction. Then the design sensitivity analysis of the eigenvalues and eigenvectors has been carried out using the modal frequency and modal shape of the test. A two-story frame structure and a jacket model structure have been calculated. Meanwhile, the modified coefficient, the FEM computational and experimental values have been given. It has been shown that the FEM model modified using the test modal value is efficient.
