Qualitative analysis of the CCEBC/EEAC method

作     者：LIAO Haohui TANG Yun 

作者机构：Department of Mathematical Sciences Tsinghua University Beijing 100084 China Department of Mathematical Sciences Tsinghua University Beijing 100084 China 

出 版 物：《Science China(Technological Sciences)》 (中国科学（技术科学英文版）)

年 卷 期：2004年第47卷第1期

页      面：61-76页

核心收录：

学科分类：08[工学] 0802[工学-机械工程] 

基　　金：This work was supported by the National Key Basic Research Fund(G1998020309) the National Natural Science Foundation of China(Grant No.10272059) 

主　　题：CCEBC/EEAC, time-piecewise simple Hamiltonian system, transient stability. 

摘      要：The CCEBC/EEAC method is an effective method in the quantitative analysis of power system transient stability. This paper provides a qualitative analysis of the CCEBC/EEAC method and shows that from a geometrical point of view, the CCCOl-RM transformation used in the CCEBC/EEAC method can be regarded as a projection of the variables of the system model on a weighted vector space, from which a generalized $\bar P - \bar \delta $ trajectory is obtained. Since a transient process of power systems can be approximately regarded as a time-piecewise simple Hamiltonian system, in order to qualitatively analyse the CCEBC/EEAC method, this paper compares the potential energy of a two-machine infinite bus system with its CCEBC/EEAC energy. Numerical result indicates their similarity. Clarifying the qualitative relation between these two kinds of energies is significant in verifying mathematically the CCEBC/EEAC method for judging the criterion of power system transient stability. Moreover, the qualitative analysis of the CCEBC/EEAC method enables us to better understand some important phenomena revealed by quantitative analysis, such as multi-swing loss of stability and isolated stable domain.