单机无限大系统稳定性和周期解的研究

the safe and steady circulate of the electric power system is connected to harmonious development of national economy. Aimed at second-order differential equation model of single machine-infinite system，the stability of zero and periodic solution is discussed and analysis.The result shows that when ignoring dampness in model，the Liapunov function is steady at zero,but considering the non-dampness , differential equation haven't periodic solution, viz., periodic oscillations of the single machine-infinite system is not existent.