Newtonian Mechanics Based Transient Stability PART III: Superimposed Machine.

This paper analyzes the mechanisms of the superimposed machine and also its inherit problems in TSA. Based on the global monitoring of the original system trajectory, the transient energy is mistakenly defined as the superimposition of the transient energy of all machines in the system. This "energy superimposition" directly causes the superimposed machine to become a pseudo machine without any equation of motion, and in this way the superimposed machine completely violates all the machine paradigms. The violations bring the two inherit defects in TSA: (i) the stability of the superimposed machine is unable to be characterized precisely, and (ii) the variance of the original system trajectory is unstable to be depicted clearly. The two defects are also reflected in the definitions of the superimposed-machine based transient stability concepts. In particular, the swing and the critical stability of the system are unable to be defined strictly, and the potential energy surface cannot be modeled precisely. Simulation results show that the problems of the pseudo superimposed-machine in TSA.