Model reduction and stability consistency of a class of multi-time scale electromechenical coupling system
一类多时间尺度机电耦合系统降阶及稳定一致性

For a class of electromechanical coupling system, this paper discusses the stability consistency between the nonlinear multi-time scale model and the relevant reduced order model, and gives the conditions of stability consistence. The continuous dependence of the stability boundary on the perturbation parameter " for a multi-time scale system is revealed. The necessary condition for this dependence is given. It is concluded that the negligence of the fast dynamics is rational in the analysis of equilibrium stability and stability region