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中文摘要：
扩展等面积准则（EEAC）理论揭示了时变因素影响稳定性的机理。在此基础上，进一步分析由群内非同调导致映象系统的强时变性及病态最远点（FEP）现象，并探讨其对稳定分析准确性的影响。提出病态FEP的识别方法和相应摆次稳定裕度的修正方法，提高了强时变性条件下的评估精度。方法的有效性和强壮性在新英格兰系统的仿真中得到了验证。此项研究加深了对非自治非线性系统稳定机理的理解。
英文摘要：
EEAC theory reveals the mechanism of how the time-varying factor affects the stability of image systems. Based on this theory, the strong time-varying of image systems caused by the inner-cluster incoherency and the phenomenon of ill- conditioned FEP （IFEP） are analyzed. Moreover, their effects on the accuracy of the transient stability analysis are studied. With this knowledge, the identification method of IFEP and the correction method of transient stability margin of stable swings are proposed for enhancing the accuracy of stability assessments in strong time-varying systems. The effectiveness and robustness of the above methods are thoroughly verified in the New England system. This research also contributes to the study on stability mechanisms of nonlinear non-autonomous systems.
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