基于回路模态分析法的串联谐波谐振评估

串联谐波谐振发生时会造成系统过电压,损坏电力设备,影响系统正常工作。为了解决此问题,需获得准确的串联谐波谐振频率,从而控制谐波源产生与此相应的谐波。由于串联谐振的发生与回路密切相关,不能用节点阻抗矩阵来分析串联谐振问题,据此提出一种分析网络回路阻抗矩阵以获得串联谐振频率及相关支路信息的模态分析方法。仿真分析所得串联谐波谐振频率与频谱分析的比较结果证明此方法正确。理论分析和算例研究证明,该方法是电力系统谐波谐振分析的有效工具。     

基于轨迹特征根的快速事故筛选方法

在轨迹特征根思路的启发下,提出了一种用于电力系统动态安全分析中快速滤除无害事故的方法。在时域仿真计算的基础上,选取故障消失一段时间后的某个时间断面,在非平衡点处将系统线性化后,从时域仿真的数据计算得到状态转移矩阵,通过判断状态转移矩阵特征值实部是否大于零的方法,筛选出无害预想事故。最后,通过新英格兰系统、145节点系统、四川系统3个算例表明了所述方法的有效性和快速性。     

非对称单脊波导的特性计算

从矢量波函数空间的偏微分算子理论出发,给出完备的旋量波函数空间的本征函数系及电磁波基本方程组,由此推导出数学形式简洁的并矢格林函数及基于旋量波算子空间本征函数系的电磁场量,在脊波导的耦合边界上模式匹配,推导出计算公式,给出了两个分析脊波导的实例,得到主模和第一个高阶模的截止频率,非对称脊波导的电中心线偏移量.     

波纹槽型截面板组轴心受压下的特征值屈曲分析

拱形波纹钢屋盖结构是一种薄壁轻型钢结构,由于其截面形式复杂,在荷载作用下的结构整体稳定与板组局部稳定是其研究重点.采用有限元法对波纹钢屋盖结构的一种截面形式-波纹槽型截面板组进行了轴心受压下的局部相关屈曲特征值分析,研究其在各种条件变化下的屈曲特性,得到的分析结论能用于指导工程实践.     

An invariant subspace‐based approach to the random eigenvalue problem of systems with clustered spectrum

The repeated or closely spaced eigenvalues and corresponding eigenvectors of a matrix are usually very sensitive to a perturbation of the matrix, which makes capturing the behavior of these eigenpairs very difficult. Similar difficulty is encountered in solving the random eigenvalue problem when a matrix with random elements has a set of clustered eigenvalues in its mean. In addition, the methods to solve the random eigenvalue problem often differ in characterizing the problem, which leads to different interpretations of the solution. Thus, the solutions obtained from different methods become mathematically incomparable. These two issues, the difficulty of solving and the non‐unique characterization, are addressed here. A different approach is used where instead of tracking a few individual eigenpairs, the corresponding invariant subspace is tracked. The spectral stochastic finite element method is used for analysis, where the polynomial chaos expansion is used to represent the random eigenvalues and eigenvectors. However, the main concept of tracking the invariant subspace remains mostly independent of any such representation. The approach is successfully implemented in response prediction of a system with repeated natural frequencies. It is found that tracking only an invariant subspace could be sufficient to build a modal‐based reduced‐order model of the system. Copyright © 2012 John Wiley & Sons, Ltd.     

基于磁弹法的磨削烧伤检测及定标在企业中的应用

描述磨削烧伤及相应检测手段，介绍一种新颖、高效、实用的“磁弹法”的工作原理，以及专用仪器，重点叙述应用磁弹法时的评定指标和仪器的特征值定标，通过实例予以说明。     

Generalized eigenvalue minimization for uncertain first-order plus time-delay processes

This paper shows how to apply generalized eigenvalue minimization to processes that can be described by a first-order plus time-delay model with uncertain gain, time constant and delay. An algorithm to transform the uncertain first-order plus time delay model into a state-space model with uncertainty polyhedron is firstly described. The accuracy of the transformation is studied using numerical examples. Then, the uncertainty polyhedron is rewritten as a linear-matrix-inequality constraint and generalized eigenvalue minimization is adopted to calculate a feedback control law. Case studies show that even if uncertainties associated with the first-order plus time delay model are significant, a stable feedback control law can be found. The proposed control is tested by comparing with a robust internal model control. It is also tested by applying it to the temperature control of air-handing units.     

A Guass–Newton-like method for inverse eigenvalue problems

In this paper, we propose a Guass–Newton-like method for finding least-square solutions to inverse eigenvalue problems. We show that the proposed method converges under some mild conditions. In particular, if the method converges to the exact solution, the convergence rate is at least quadratic in the root sense. Numerical examples are given to justify the theoretical result.     

塔河油田奥陶系碳酸盐岩储层预测新进展

经过多年的理论研究与生产实践相结合,在塔河油田奥陶系碳酸盐岩缝洞型储层预测方面取得了丰富的成果,形成了一系列的方法技术。近两年又创新推广了新技术趋势面法的应用,对一些前期成熟技术进行了发展与延伸,如本征值精细相干,并且加强了多方法的联合应用,取得了较好的效果。     

A Model-trajectory-based Method for Analyzing the Time-varying Oscillation Characteristics of a Fault System

Due to the impossibility for the equilibrium-point eigenvalue method to reflect the oscillation characteristic of the fault system correctly, and the difficulty in choosing the window length using a trajectory eigenvalue method, a model-trajectory method is proposed to analyze the eigenvalue of a fault system. First, the system is equated by the mutual factor after fault clearance. Then the branch current and power of the post-fault system is calculated by the branch current of the original and the fault component network, respectively. Furthermore, the equivalent model of the system is built and linearized at each measuring point. By combining the linearized model with the actual disturbed trajectory, the time series of the eigenvalue of the fault system is calculated. Simulation results of 2-generator system and a 16-generator system illustrate that the model-trajectory method is able to describe the time-varying oscillation characteristic of a fault system effectively and accurately.