摘要
应用机电分析动力学的理论建立了交流电机组的机电耦联振动方程组。运用微分动力学系统理论深入分析了交流电机的机电耦联失稳振荡问题。对于该系统出现的高余维分岔问题,通过中心流形定理、多参数稳定性理论和归一化方法得到了原系统的Normal Form形式,并详细讨论了系统的分岔情况以及分岔解的稳定性,并进行了详细的数值计算分析,很好地验证了理论分析结果。取得了交流电机失稳振荡更深入一步的研究成果。
Based on mechanical and electrical analytical dynamics,we established equations about vibration coupled with mechanics and electrics in AC motor set.Using the theory of differential dynamic system,destabilizing oscillation of the AC motor's were analyzed with electricity and mechanics coupling.By Center Manifold,theory of stability with multiple parameters and unification technique to analyze the high-codim bifurcation occurring in the system,the Normal Form of the original system is obtained.The bifurcation situation and the stabilization of the bifurcation solution are discussed in detail.In addition,a detailed numerical analysis is made,its results are in agreement with the theoretic results.Also,we got the further result in vibration when AC motor lose its stability.
出处
《力学学报》
EI
CSCD
北大核心
2004年第2期235-240,共6页
Chinese Journal of Theoretical and Applied Mechanics
基金
国家自然科学基金(10202017
10072038)~~
