考虑区域性的复杂电力网络演化模型

电力网络是典型的复杂网络,当前经典的复杂网络模型与实际的电网之间存在较大差异。从电力网络本身的演化机理入手,提出并研究了一种改进的复杂电力网络演化模型。该模型针对现实电网具有区域性的情况,以地理区域重新定义"邻域";考虑到新建厂站接入电网时需综合稳定性和经济性因素,在新节点加入时,引入概率q,以达到二者的平衡。理论分析表明,该模型的度分布可实现指数分布到幂律分布的过渡,且幂律指数在3～∞可调。对美国西部电网和中国华东电网的仿真结果显示,该模型的度分布与实际电网更相符,能更好地反映电力网络的演化规律。

Novel Evolving Network Model for Complex Power Grid Considering Regionality

Power grid is a typically complex network.At present,the typically complex network model has great difference with the actual power network.Therefore,starting form the evolution mechanism of power system itself,an improved complex power network is proposed and researched.This novel model redefine the neighborhood by geographical regions in the real power network with different layer and district.Considering the stability and economy in the access of power network when newly building power station,q,a probability term,is introduced at the new node’s addition to achieve the balance.Theoretical analysis indicates that this network model yields a transition between power-law and exponential scaling,and its scaling exponent of power-law tail is between 3 and ∞.The results of numerical simulations for West American power grid and East China power grid indicate that the new model is more consistent with the actual power grid in average degree and reflecting perfectly the essential evolution mechanism of power grid.