含功率扰动的3节点电力系统7阶模型混沌振荡分析

混沌振荡时电力系统的固有现象对整个互联电网具有极大危害. 基于3节点电力系统推导其7阶数学模型,利用分岔图、相图分析了3节点电力系统的动力学特性,研究了系统参数变化对系统运行状态的影响. 随后,引入电磁功率和负载功率扰动项,使得系统模型更接近实际情况,研究系统在扰动幅值和扰动频率影响下的动力学行为变化过程,并分别给出了对应的分岔图和特定参数下的系统相图. 实验表明,当扰动项的幅值与频率处于特定范围内时,系统能够从混沌运动状态切换至周期运动状态.

Analysis on Chaotic Oscillation in the Seven-order Model ofThree-node Power System with Power Disturbance

Chaotic oscillation is an inherent phenomenon of nonlinear power system,which is very harmful for the large-scale interconnected power grid. Based on the three-node power system,a seven-order mathematical model of this system is deduced in this paper. The dynamic characteristics of the three-node power system are analyzed through bifurcation diagrams and phase portraits,and the influence of system parameters varying on the operation states are studied as well. Then the electromagnetic power disturbance and the load power disturbance are introduced into the system model,which makes the model closer to the actual situation.The changing process in dynamic behaviors of the system under the impact of the disturbance amplitude and frequency are illustrated with bifurcation diagrams and phase portraits for specific parameters are given respectively. Moreover,it is found that the operating state of the system can reach periodic motions from the chaotic motions when the amplitude and frequency of perturbation terms are within certain ranges.