摘要
引入了经济学中的洛伦兹曲线和基尼系数的概念,用来分析复杂电网结构的异构性。通过仿真得到时空演化模型生成的各种网络的洛伦兹曲线和基尼系数,分析了时空演化模型的演化参数对基尼系数的影响。应用洛伦兹曲线和基尼系数对国内外的实际电网进行了异构性分析和比较,采用基于时空演化的OPA模型对IEEE39节点系统进行了连锁故障仿真,分析了基尼系数对连锁故障的影响,通过仿真分析表明既可以通过洛伦兹曲线直观地定性比较不同实际电网的结构特性,也可以通过比较基尼系数的大小进行定量比较。通过实例验证发现基尼系数越大的系统,发生连锁故障大停电的概率也越大。
In the study of complex grid,the analysis of structure heterogeneous which can reflect the grid＇s topological properties is of great importance.In this paper,the concepts of Lorenz curve and Gini coefficient are introduced to analyze the heterogeneous of complex power grid＇s structure.Various Lorenz curves and Gini coefficients of different networks are generated by the spatial and temporal evolvement model,and the influence of the evolution parameters on the Gini coefficient is analyzed.The heterogeneity of the actual networks at home and abroad is analyzed and compared in this way.To analyze the impact of Gini coefficient on the cascading failure,the cascading failure of the IEEE39 nodes system is simulated applying the OPA model based on spatial and temporal evolvement.It suggests that via the Lorenz curve the qualitative comparison can be made among different structural characteristics of actual power grids,and via the Gini coefficient the quantitative comparison can also be made.It turns out that the bigger the grid＇s Gini coefficient is,the larger is the probability of cascading failure.
出处
《复杂系统与复杂性科学》
EI
CSCD
2011年第2期51-57,共7页
Complex Systems and Complexity Science
关键词
时空演化模型
复杂电网
异构性
洛伦兹曲线
基尼系数
spatial and temporal evolvement model
complex grid
heterogeneous
Lorenz curve
Gini coefficient
