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Normal form (NF) is an effective tool to quantitatively analyze nonlinear modal interaction, which is believed to contribute to the complex nonlinear dynamics in power systems. However, in conventional NF analysis, the solution under resonance condition cannot be expressed in a closed form. Hence the NF analysis of power system higher order modal interaction was limited to nonresonant cases, or directly...
With the polynomial vector space decomposition by using Normal Form theory, the normalized analytical solutions of modal resonance are derived, which solves that the traditional Normal Form solution cannot be easily obtained under resonant condition. Based on the solution, from the viewpoint of whether the modal interaction couples and resonates or not, the nonlinear terms are decomposed into four...
This paper attempts to obtain insight about the effect of modal interaction of higher than 2nd order in small-signal analysis, through evaluating the effect of 3rd order modal interaction. The indices that quantify the 3rd order modal interaction are defined, following the modal analysis procedures used in linear modal analysis and second order modal analysis. Numerical simulation results demonstrates...
The analysis of higher order modal interaction attracts much attention from scholars all over the world. The normal form theory and the modal series method offer new ideas for solving these problems. However, literature review and simulation show that modal analysis for a certain case with these approaches may obtain different results. In this paper, the currently available methods are integrated...
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