单机无穷大系统中的非线性振荡  

Nonlinear oscillations of the power system with one machine infinite bus

作　　者：廖浩辉[1] 唐云[1] 肖炏[2] 

机构地区：[1]清华大学数学科学系 [2]清华大学电机工程与应用电子技术系,北京100084

出　　处：《清华大学学报（自然科学版）》2001年第4期1-4,共4页Journal of Tsinghua University(Science and Technology)

基　　金：国家重点基础研究专项经费资助! (G19980 2 0 30 9)

摘　　要：针对一个典型的单机无穷大电力系统 ,通过分析系统的双参数分岔的非线性振荡现象 ,综合考虑有功和无功功率对电压稳定性的影响。数值分析表明 ,随着有功功率的增加 ,电力系统的 Hopf点越来越靠近 ,最终合为一点 (在 P1= 1 .4 5543处 ) ;同时圈折 ( cyclic fold)曲线也越来越靠近Hopf曲线 ,并在 Hopf曲线的稳定与不稳定临界点处与Hopf曲线相交 ;倍周期分岔点也随着越来越靠近 ,最终在P1≈ 0 .65合为一点。应用正规形理论方法 ,初步确定了Hopf曲线极限点附近的稳定性态。因而 ,电力系统应注意让负荷利用有功功率 ,减少无功功率的产生以防止非线性振荡。另外 ,可以设计一个稍微吸收网络的有功功率的控制器 ,以避免因周期振荡而造成电力系统仪器的损坏或电压崩溃。The joint effect of active and reactive power on the voltage stability of a typical power system was considered by analysing the two parameter bifurcation problem related to nonlinear oscillation phenomena. Numerically, as the active power P 1 increases, the Hopf points get closer and eventually coincide at P 1=1.45543; the cyclic fold curve gets closer and closer to the Hopf curve and finally intersects the Hopf curve at a singular point; the period doubling points also get closer and finally coincide at P 1≈ 0.65 . The stability behaviour is pre determined using the normal form approach near the limit point of the Hopf curve. Hence, in the power system attention should be paid to both the consumption of active power and the decrease in the reactive power to prevent nonlinear oscillations. A controller can be designed to absorb some active power and to avoid the nonlinear oscillations that damage the system components.

关 键 词：电压稳定 双参数分岔 HOPF分岔 单机无穷大电力系统 非线性振荡 有功功率 无功功率 

分 类 号：TM712[电气工程—电力系统及自动化]