基于元胞自动机的舰船电力系统脆性建模

为了分析复杂舰船电力系统的脆性,提高系统的可靠性,以及评价系统的脆性程度,基于熵理论,给出了包括系统自身熵变、脆性联系熵、负熵的舰船电力系统脆性熵的定义,以及舰船电力系统的脆性概率熵、脆性综合概率熵、脆性风险熵和脆性综合风险熵的定义。采用一维扩展元胞自动机(CA),对舰船电力系统脆性熵变和脆性评价分别制定了元胞自动机的演化规则,对舰船电力系统进行脆性建模,以元胞自动机构行序列形式给出了脆性建模的结果,模拟了复杂舰船电力系统在受到内外干扰后脆性演变过程。采用元胞自动机建模可避免求解复杂的微分方程组,使求解简单直观。

Model Construction of Brittleness of Warship Electric Power System Based on Celluar Automata

In order to analyze brittleness and improve reliability of complicated warship electric power system,the brittleness entropies,including self-changing entropy,brittleness relative entropy and negative entropy,are defined based on entropy theory.Moreover,for evaluating brittleness degree of the system,the definitions of brittleness probability entropy,brittleness synthetical probability entropy,brittleness risk entropy and brittleness synthetical risk entropy of warship power electric system are given as well.Finally expanding one-dimensional celluar automata(CA) is applied to construct brittleness model of warship power electric system,and its automata rules for brittleness entropy-change and brittleness evaluation are constituted.Simulation results are given by means of CA construction series to describe the evolvement process of brittleness when warship power electric system is exposed to inside and outside interference.Model construction method based on CA can avoid resolving of complicated differential equations.