摘要
应用混沌分岔理论研究了有功负荷P_1、无功负荷Q_1和发电机机械功率P_m对含Walve综合负荷的电力系统动态电压稳定性的影响.在有功、无功负荷取不同值时,通过Lyapunov指数谱、平衡解流形和相轨迹时域仿真对参数改变时系统的状态变化进行综合分析.结果表明,在P_1轻载、Q_1由0增大或Q_1过载、P_1由0增加时,Hopf分岔和鞍结分岔为系统电压失稳和电压崩溃的动力学本质,且随着分岔参数增大,电压水平均有明显降低;当P_1轻载、Q_1重载时,一方面随着P_m的改变电压水平略有下降,另一方面系统在鞍结分岔点(鼻点)前,因倍周期分岔进入混沌不确定状态,在P_m受小扰动后,由于系统混沌轨道拉伸与折叠变换不平衡导致系统发散而发生电压崩溃;研究结果还表明,当电力系统运行在有功或无功轻载情况下,可通过调节P_m来扩大电压稳定运行范围,提高电网功率传输极限,但当有功轻载无功重载时,这一调节范围要考虑倍周期分岔的影响.
Based on the theory of bifurcation and chaos,we studied the effects of three dynamic parame- ters （load active power P1, reactive power Q1 and generator mechanical power Pm） on the voltage stability of a power system with Walve integrated load. In different load condition,the system status characteristics changing with bifurcation parameters has been studied by using Lyapunov exponential spectrums,equilibri- um solution manifold curves and phase trajectory simulations. The study showed that when Q1 increased from 0 with light P1 or P1 increased from 0 with heavy Q1, Hopf and saddle-node bifurcations were dynami- cal natures of voltage unstable and collapse. And with the increase of the bifurcation parameter, voltage lev- el significantly decreased. When P1 was light and Q1 was heavy,the voltage level indistinctively decreased with changing of Pro. And before reaching the nose point （the saddle node bifurcation point）,the system became chaotic due to the period doubling bifurcation. And then the voltage collapsed after small perturba- tion of Pm since the tension and folding transformations of the chaotic orbit were not balanced. The result also indicated that when the system was run under condition of light P1 or Q1, the voltage stable operating range and the power transfer limitation could be increased by adjusting the generator mechanical power. But when P1 was light and Q1 was heavy,the adjustable range would be affected by period doubling bifurca- tion.
作者
郝建红
米昕禾
HAO Jianhong MI Xinhe(School of Electrical and Electronic Engineering,North China Electric Power University,Beijing 102206,China)
出处
《河北师范大学学报（自然科学版）》
CAS
2017年第5期403-412,共10页
Journal of Hebei Normal University：Natural Science
基金
国家自然科学基金(61372050)
关键词
混沌分岔理论
动态电压稳定性
动力学本质
功率传输极限
chaos and bifurcation theory
dynamic voltage stability
dynamical nature
power transferlimitation
