含励磁环节的分数阶电力系统混沌振荡分析与控制  

Analysis and Control of Chaotic Oscillation in Fractional-order Power System with Excitation Model

作　　者：闵富红[1] 王耀达 窦一平[1] 

机构地区：[1]南京师范大学电气与自动化工程学院,南京210042

出　　处：《电子与信息学报》2017年第8期1993-1999,共7页Journal of Electronics & Information Technology

基　　金：国家自然科学基金(51475246);江苏省自然科学基金(BK20131402)~~

摘　　要：该文以含励磁环节的分数阶四阶电力系统模型为对象,研究其动力学行为并加以同步控制。首先,固定系统参数,利用分岔图和最大Lyapunov指数谱计算系统产生混沌振荡的最低阶次。其次,以单变量法分别研究机械功率、阻尼系数和励磁增益的改变对系统动力学行为的影响,通过数值仿真绘制系统随参数变化下的分岔图、Lyapunov指数谱等,选取不同的系统初值,研究同一系统在不同初值的情况下存在的多吸引子共存现象。最后,基于分数阶系统稳定性理论和非线性反馈控制理论,设计同步控制器实现系统混沌控制,数值仿真验证了所设计控制器的有效性。Based on the four-order power system model, a fractional-order power system model with excitation model is presented in this paper and the dynamic properties of the fractional-order system are investigated and controlled. Firstly, the fractional-order power system of 4D is given and then the minimum order for existence of chaotic oscillation in power system with fLxed parameters is achieved through bifurcation diagram and maximum Lyapunov exponent. Secondly, the influence of mechanical power, damping coefficient and excitation gain on system dynamics behavior is studied respectively. The bifurcation diagrams and Lyapunov exponent spectrum of the system are plotted through numerical simulations, respectively. In addition, the coexistence of attractors with different initial conditions in the same system is investigated. Finally, from the stability theory of fractional-order system and nonlinear feedback control theory, a synchronous controller of two power systems with different initials is designed, and numerical simulations show the effectiveness of the controller.

关 键 词：分数阶系统 四阶电力系统 吸引子共存 同步控制器 

分 类 号：TP271[自动化与计算机技术—检测技术与自动化装置]