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中文摘要：
模态级数法是分析非线性动态系统的一个新的有效工具。该方法能从系统的内部结构特性入手,通过模式间的非线性相关作用来研究系统的动态特性。基于模态级数推导出了相关指标和二阶非线性相关因子公式。通过非线性相互作用指标揭示系统固有模式间的交互作用对系统动态特性的影响;通过研究状态变量与系统主导振荡模式、复合模式对的非线性相关作用以及控制器参数对非线性相关系数的灵敏度,来识别对系统动态特性和稳定产生很大影响的关键励磁调节器及其参数。
英文摘要：
Modal series is a new and effective tool which is used in analyzing the nonlinear dynamic systems, With a view to internal structural characteristic of systems, this method could be used to analyze nonlinear modal interaction in order to study the dynamic characteristic of systems. This paper firstly gives some indices and expressions of nonlinear participation factor based on modal series. Secondly, the effect of modal interaction on the dynamic characteristic of systems is opened out by the nonlinear-interaction indices. In the end, the key exciter and its parameters are identified by studying the nonlinear interaction of state variables with the critical inertial modes and combination of modes and the sensitivity of controller＇s parameters to nonlinear interaction coefficients.
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