CAJ | 학술논문

针对在以往研究中发现的时滞电力系统振荡泯灭分岔(ODB)和振荡诞生分岔(OEB)，首先给出了它们的确切定义；进一步，利用朗伯(Lambert W)函数对系统的特征方程进行变换，再根据朗伯函数随参数变化时其实数解出现和消失过程，给出了一种判别时滞系统 ODB和 OEB的有效方法；进一步，利用简单时滞系统和 WSCC-3机9节点时滞电力系统，对所述方法进行了验证。由于 OEB和 ODB与时滞系统振荡模式的突变密切相关，因此该研究对揭示时滞电力系统的振荡模式变化和失稳机理具有一定帮助。
침대재이왕연구중발현적시체전력계통진탕민멸분차(ODB)화진탕탄생분차(OEB)，수선급출료타문적학절정의；진일보，이용랑백(Lambert W)함수대계통적특정방정진행변환，재근거랑백함수수삼수변화시기실수해출현화소실과정，급출료일충판별시체계통 ODB화 OEB적유효방법；진일보，이용간단시체계통화 WSCC-3궤9절점시체전력계통，대소술방법진행료험증。유우 OEB화 ODB여시체계통진탕모식적돌변밀절상관，인차해연구대게시시체전력계통적진탕모식변화화실은궤리구유일정방조。
Two new bifurcations in time-delayed power systems,the oscillation disappearance bifurcation(ODB)and oscillation emergence bifurcation(OEB)found in a previous study,are explored and discussed.Their definitions are given first according to the transform of the system eigenvalues.Further,an approach to determining the occurrence of ODB and OEB in time-delayed dynamic systems is proposed.It uses the information on the disappearance and emergence of the real solution branches of the Lambert W function.A typical one-dimensional time-delayed system and WSCC 3-machine-9-bus system with time delay are then selected to show the mechanism of two bifurcations and to validate the given approach.Since OEB and ODB are closely related to the emergence and disappearance of the system oscillation modes,the study under discussion is helpful to power system stability analysis with time delays. <br> This work is supported by National Basic Research Program of China(973 Program)(No.2009CB219701)and National Natural Science Foundation of China(No.51277128).