基于Matlab/Simulink研究电力系统的分叉与混沌现象

Analysis of Bifurcation and Chaos Phenomena in Power Systems Based on Matlab/Simulink

用一个简单系统来探索电力系统中的分叉和混沌现象。在建立系统的微分数学模型之后,在Matlab/Simulin环境下建立相应的仿真模型。通过改变控制参数的值,得到相应负荷电压的变化情况,证明了该系统中存在分叉现象。最后,假设控制参数一致而稍微改动系统的初始条件,发现其行为特性不一致,并得到完全不一样的结果。

In this paper, bifurcation and chaos phenomena in power systems were explored with a simple system. After establishment of differential mathematical models of the system, the corresponding simulation model was established in the Matlab/Simulink environment. By chan- ging the value of the controlling parameters, we got the corresponding changing situation of the load voltage and proved the existence of bifurcation phenomenon. Finally, assuming the same controlling parameter and changing slightly the initial conditions of system, we found that their behaviors were not similar so that the results were completely different.