Stability analysis of electric power systems using finite Gramians^*

详细信息    查看全文

• 作者：Igor B. Yadykin^* ; ^** ; ^{jad@ipu.ru" class="auth_mail" title="E-mail the corresponding author} ; Andrey A. Grobovoy^* ; ^*** ; ^{grobovoy@ieee.org" class="auth_mail" title="E-mail the corresponding author} ; Alexey B. Iskakov^* ; ^** ; ^{isk-alex@mail.ru" class="auth_mail" title="E-mail the corresponding author} ; Dmitry E. Kataev^* ; ^** ; ^{dekataev@gmail.com" class="auth_mail" title="E-mail the corresponding author} ; Mikhail S. Khmelik^* ; ^**** ; ^{michael.khmelik@gmail.com" class="auth_mail" title="E-mail the corresponding author}
• 关键词：power systems ; Lyapunov direct method ; transient stability analysis ; finite Gramian ; sub-Gramian approach ; simulation experiment
• 刊名：IFAC-PapersOnLine
• 出版年：2015
• 出版时间：2015
• 年：2015
• 卷：48
• 期：30
• 页码：548-553
• 全文大小：626 K

文摘

We present an extension of the method of eigenmode decomposition of Gramians proposed earlier for the small-signal stability analysis of dynamical systems. In this paper we derive the spectral decomposition for finite Gramians on any time interval and with arbitrary initial conditions. These expansions allow both a stability analysis of non-stationary systems and a monitoring of instability development in unstable systems. Eigen components in the expansion of Gramians on a finite interval of time we called finite sub-Gramians. Because each sub-Gramian is associated with a particular eigenvector, the sources of instability can be easily localized and tracked in real time. We perform a simulation experiment in which finite sub-Gramians are used to analyze the development of instability arising in an actual power grid on Russky Island when it is disconnected from the mainland network.