滑步与发散,运动系统与一般动力学系统-- 兼谢廖浩辉和唐云先生

明确了同步、滑步、蠕步的概念，指出滑步（或称失步）与发散（或称无界失稳）的区别和联系；揭示了运动系统经过动态鞍点是发生滑步的充要条件，而不是发散的充要条件，只有在非哈密顿因素及时变因素足够小的条件下，才能根据系统在有限时段内没有发生滑步的事实来断定它在该时段后也不会发散，或者根据系统在有限时段内发生了滑步的事实来断定其发散，强调CCEBC／EEAC是运动系统的滑步稳定性理论，指出对于一般动力学中的一阶常微分方程（组），只有在其右端为连续函数时才能等效为运动方程，否则不符合运动系统稳定性规律。     

Qualitative analysis of the CCEBC/EEAC method

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 CCCOI-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 P-δ 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     

电力系统中CCEBC/EEAC方法的数学描述

互补群群际能量壁垒准则／扩展等面积准则（CCEBC／EEAC）方法是电力系统暂态稳定性分析中一个很有效的方法。文中介绍CCEBC／EEAC方法并讨论它的性质，分析结果表明，CCEBC／EEAC方法在带有小耗散项的简单Hamilton系统中是有效的，从数学的角度解释了它在电力系统暂态稳定性分析中的有效性，把CCEBC／EEAC方法限制在简单Hamilton系统上讨论，可以从数学上挖掘CCEBC／EEAC方法的几何意义。通过几何观点，从数学上得到了更加细致的CCEBC／EEAC准则，这在进一步把数学工具引入到实际算法中起着重要作用。     

CCEBC与李雅普诺夫函数法在轴系扭振稳定性研究中的比较

对研究汽轮发电机组轴系扭振稳定性的各种方法进行了总结,提出用互补群群际能量壁垒准则(CCEBC)研究汽轮发电机组轴系扭振的稳定性.对汽轮发电机组轴系提出新的建模方法,从而使仿真更符合实际,为CCEBC在汽轮发电机组轴系扭振稳定性研究中的应用奠定了基础.以某电厂轴系断裂事故为例,验证了CCEBC比李雅普诺夫函数法更适用于判定轴系扭振的稳定性.