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中文摘要：
内共振现象是非线性系统动态行为的重要表现形式。当电力系统非线性表征较强时,系统的振荡模式之间不能实现完全解耦。在模式间非线性相互作用的影响下,系统的振荡现象变得更为复杂。基于模态分析与广义强迫振荡理论,解释了系统振荡模式间相互作用机理,给出了广义强迫振荡情形下内共振现象的引发条件。仿真算例验证了所提出的内共振条件,并与狭义强迫振荡情形下的内共振结果进行对比。结果表明：在窄带随机激励下,系统振荡模式频率之间不需要满足特定的倍数关系,就可以产生明显的内共振现象,即广义强迫振荡情形下内共振现象更容易被激发。该理论为电力系统振荡分析提供了一种新的思路。
英文摘要：
Internal resonance is an important expressive form in nonlinear system dynamic behaviors. When power systems behave strong nonlinearity, the oscillation modes are no longer completely decoupled in consideration of nonlinear interaction among them, in which case a more complicated oscillation may be induced. Based on the modal analysis and general forced oscillation（GFO） theory, the mechanism of nonlinear interaction among oscillation modes was investigated, and the en-oscillating conditions of internal resonance were obtained. Then the en-oscillating conditions proposed were verified by simulation and a contrastive analysis of internal resonance under the special and general forced oscillations was analyzed. Simulation results indicate that obvious internal resonance can be induced by narrow-band random excitations with no need for a particular frequency ratio between oscillation modes. Briefly, the internal resonance can be more easily caused in the case of GFO. This research offers a new thinking for the analysis of power system oscillations.
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