摘要

Based on the modal series method, the first-order and second-order solutions of torques were deduced. An analytical method was established for analyzing torsional dynamics. It can directly represent torsional dynamics with the physical concepts. The quantitative index was given for analyzing the feasibility of the solutions. Furthermore, the nonlinearity modal indices and contributor factors of torques were defined based on the second-order solutions, and they were used to study the impact of nonlinear modal interactions on the transient torques. The fundamental-mode nonlinearity index describes the effect of nonlinear modal interactions on the initial amplitudes and phase angles of fundamental modes. The combination-mode index represents the strength of interactions between fundamental combination modes and combination modes. The nonlinearity contribution factors embody the contributions of the fundamental and combination modes to the second-order solutions of torques. The IEEE First Benchmark System was adopted to carry out this study, and some new viewpoints were obtained.