潮流跟踪算法两个分支之间的联系

在潮流跟踪算法的研究中,基于线性方程组的求解和图论的迭代算法是两个主要分支.本文对顺流跟踪矩阵和逆流跟踪矩阵采取幂级数矩阵的形式进行研究,得到了两个研究分支之间的联系.论文不仅从数学上证明两个分支的联系,也从物理意义上解释这种关系.并通过四节点系统算例,验证了本文结论.     

Identification of Critical Lines and Nodes in Power Grid Based on Maximum Flow Transmission Contribution Degree

从结构性视角提出一种准确辨识电力网关键线路和节点的方法。该方法基于网络最大流和复杂网络理论,定义传输贡献度作为电力网关键线路和节点辨识依据,表征它们对实现电力网电能传输功能体现出的承载和贡献能力。该方法克服了现有研究中假设潮流沿着母线间最短路径传输的缺陷,依据网络整体结构考虑不同电源—负荷节点对间所有参与功率传输的路径;同时将电力网作为有向加权网络考虑,计及了线路最大有功传输容量约束,物理背景更符合电力工程实际。对IEEE 39节点系统进行仿真计算并将结果与现有方法对比,验证了所述方法的合理性和有效性。     

Higher‐order differentiation of network functions using signal flow graphs

This paper presents the application of signal flow graphs (SFG) in the calculation of higher‐order derivatives (sensitivities) of the linear circuit functions. The idea of exact differentiation of the circuit functions is based on the adjoint networks, translated into SFG language. Thanks to its application, it is possible to calculate the exact value of any order derivative of circuit function without knowing this function in explicit form. Moreover, these derivatives can be determined on the basis of analysis of only two graphs (circuits): the original and adjoint one. We show that the SFG approach to the sensitivity calculation allows to reduce greatly the complexity of calculations. Copyright © 2011 John Wiley & Sons, Ltd.     

基于城市配电网的无线自组传感器网络结构研究

数据通信是变配电自动化系统不可或缺的重要组成部分.在10kV以下的电力系统中,对电网数据的采集、处理、显示和控制尚无统一的通信组网模式.运用图论的方法分析城市配电网架构模式,提出一种基于改进的Dijkstra最短路径算法的无线自组传感器网络路南算法,在仿真结果的理论依据上实现了无线传感器节点的合理部署,使得无线自组传感...     

黑启动辅助决策支持系统

针对电网黑启动的特点和要求,结合图形建模技术、数据库技术和电力系统分析计算技术开发了一套可视化的电网黑启动辅助决策支持系统。该系统将图形系统与数据库结合形成图-模一体化平台,具有界面友好、交互性强和功能完善等特点。该系统采用了基于规则的黑启动路径自动生成算法形成黑启动初始路径方案,既避免了人工提供黑启动初始路径的繁琐,又能避免合理路径的遗漏;系统中所包括的路径分析功能及数据管理,既相互独立,又能相互配合,而形成了一个完整的系统。该系统所提供的分析结果的导出功能,可方便地生成黑启动初步分析报告,从而大大减轻撰写分析报告的压力。实际应用证明了该系统的有效性和工程实用性。     

一种结合综合判据的广域差动后备保护系统

提出了一种基于图论技术划分保护区并结合综合决策判据的广域电流差动后备保护系统。系统建立在健全的光纤通信系统上,利用通信系统收集全网信息,利用图论方法实现保护区域的在线动态划分,通过设置故障综合启动元件和基于多层电流差动计算的综合保护判据,实现电网故障的准确定位和有效切除,完成保护功能。在保护单元故障的情况下,广域后备保护系统仍然拥有很高的选择性和可靠性,体现了优越的容错性能。保护系统在湖南省岳阳地区电网上进行了案例分析。     

基于图论的集中式保护主后备保护区域划分?

数字化变电站已经广泛应用,但缺乏对集中式保护算法研究。针对这一空白,提出了一种基于图论知识的集中式保护自适应分区算法。该算法根据数字化变电站各设备状态信息及拓扑连接关系,形成实时顶点-边邻接矩阵,在线修正变电站实时拓扑结构,同时依据变电站实时拓扑结构确定变电站各一次设备的主保护分区。如果集中式保护装置接收到的电流信息发生缺失,则该算法自适应形成后备保护分区,最后通过算例分析验证了该算法的可行性。     

梅逊公式的CAI软件设计

介绍了基于MATLAB／Simulink的梅逊公式CAI软件设计方法,提出了用Simulink软件包绘制有向图、用MATLAB编程进行处理的思路。由于充分利用了MATLAB编程简单和Simulink图形建模的优点,软件开发简单易行,开发出的CAI软件界面友好,值得在解决同类问题时推广使用。     

Strategy of Concurrent Optimization for an Assembly Sequence

An effective constraint release based approach to realize concurrent optimization for an assembly sequence is proposed. To quantify the measurement of assembly efficiency, a mathematical model of concurrency evaluation index was put forward at first, and then a technology to quantify assembly constraints was developed by application of some fuzzy logic algorithms. In the process of concurrent optimization of the assembly sequence, two kinds of constraints were involved. One was self-constraints of components, which was used to evaluate the assemble capability of components under the condition of full-freedom. Another was an assembly constraint between components represented by geometric constraints between points, lines and planes under physical restriction conditions. The concept of connection strength degree （CSD） was introduced as one efficient indicator and the value of it was evaluated by the intersection of the two constraints mentioned above. The equivalent constraints describing the connection weights between components were realized by a well designed constraints reduction, and then the connection weights based complete assembly liaison graph was applied to release virtual connections between components. Under a given threshold value, a decomposition and reconstituting strategy for the graph with the focus on high assembly concurrency was used to realize an optimized assembly concurrency evaluation index. Finally, the availability of the approach was illustrated in an example to optimize the assembly of a shift pump.     

图和线图的邻接谱及拉普拉斯谱的关系

图谱理论是图论研究的重要领域之一,也是非常活跃的研究方向。实践表明,对特征值的计算十分复杂,但可以研究不同定义的谱之间的关系确定特征值的上下界。通过利用对称矩阵和半正定矩阵的一些性质,讨论简单无向图G及其线图Gl的邻接谱之间的一些关系,推广已有的结果。同时也讨论图的邻接谱和拉普拉斯谱之间的关系。对判定某些图的邻接谱和拉普拉斯谱的范围具有一定的指导作用。