Newtonian Mechanics Based Transient Stability PART I: Machine Paradigms

Individual-machine, superimposed-machine and equivalent-machine can be seen as the three major perspectives of the power system transient stability. In this paper, the machine paradigms are established according to the common thinking among the three different machines. The machine paradigms comprise of the three components, i.e., trajectory paradigm, modeling paradigm and energy paradigm. The trajectory paradigm is the reflection of the trajectory stability; the modeling paradigm is the two-machine-system modeling of the trajectory stability; and the energy paradigm is the stability evaluation of the two-machine system. Based on this, it is clarified that the machine paradigms can be expressed into the individual machine form or the equivalent machine form. Then, the relationship between the machine stability and the system stability are analyzed. Simulation results show that the effectiveness of both the individual-machine and the equivalent machine is fully based on the strict followings of the machine paradigms.