Bifurcation Analysis and Control of Power Systems

• Main Authors: Sheng-Yuan Liu, 劉聖元
• Other Authors: Der-Cherng Liaw
• Format: Others
• Language: zh-TW
• Published: 1994
• Online Access: http://ndltd.ncl.edu.tw/handle/05878610633363606484

碩士 === 國立交通大學 === 控制工程系 === 82 === In this thesis, we study the phenomena in the power systems, specifically, at which the voltage collapse may occur. By employing bifurcation theory, we analyze the dynamical behavior of power systems and obtain the conditions for the occurrence of voltage collapse. Several different of bifurcation scenarios are observed from the numerical simulations. These include static bifurcations (i.e., saddle- node bifurcation) and three types of dynamic bifurcations. Among these dynamic bifurcations, we have found two Hopf bifurcations, and two period doubling bifurcations as well as one cyclic fold bifurcation, occurring in the periodic solutions emergying from those Hopf bifurcation points. Moreover, there exist chaotic phenomena occurring between the two period doubling bifurcations. Voltage collapse is found either to appear between the two period doubling bifurcations or to occur near the neighborhood of the saddle-node bifurcation. Both direct state feedback control laws and the washout filter feedback control laws are proposed to prevent the occurrence of the voltage collapse which lies between the two period doubling bifurcations by changing the characteristic or removing the residence of Hopf bifurcation point.