南京师范大学学报（工程技术版）2017，Vol.17Issue(1)：18-25,36,9.DOI:10.3969/j.issn.1672-1292.2017.01.003
含电磁功率扰动的分数阶电力系统混沌分析与同步控制
Chaotic Analysis and Synchronization Control of Fractional Order Power System with the Disturbance of Electromagnetic Power
摘要
Abstract
Chaotic oscillation is an inherent phenomenon of nonlinear power system.However,when the operation conditions in power system become complicated,the integer-order system models have not fully met the demands of research needs.In this paper,the basic dynamic properties of the fractional-order power system are investigated with the disturbance of electromagnetic power through the bifurcation diagram,Lyapunov exponent spectrum and Poincaré section.In the case of fractional-order power system,the lowest order at which chaos exists is observed.With the disturbance amplitude of electromagnetic power and the frequency factor varying,this power system shows rich dynamic behaviors characterized as period-doubling bifurcation transferring to chaos and angle instability.Based on the double parameters mapping,the regions are divided into the domains of periodic motion,chaos and angle instability.Due to the route to chaos appearing before the angle instability,the control method which can eliminate the chaos should be designed to avoid the harm of angle instability in power system.Therefore,a nonlinear controller which meets the stability requirement is designed to realize the synchronization of the fractional-order chaotic power system.Simulation results verify the effectiveness of the proposed methods,and provide theoretical references for the secure and stable operation of power system.关键词
混沌振荡/分数阶互联电力系统/功角失稳/同步控制Key words
chaotic oscillation/fractional order power system/angle instability/synchronization control分类
信息技术与安全科学引用本文复制引用
彭光娅,闵富红,黄雯迪,叶彪明,窦一平..含电磁功率扰动的分数阶电力系统混沌分析与同步控制[J].南京师范大学学报（工程技术版）,2017,17(1):18-25,36,9.基金项目
国家自然科学基金(51475246)、江苏省自然科学基金(BK20131402). （51475246）
