摘要
根据模态级数方法,推导扭矩2阶解和1阶解,建立分析扭振动态特性的解析方法,可直接从物理概念上分析扭振特性。应用定量指标分析扭矩2阶解和1阶解描述扭振特性的可行性。另外,基于2扭矩阶解定义基本模态和复合非线性指标及模态非线性贡献因子,应用这些指标分析非线性模态互作用对暂态扭矩的影响。基本模态非线性指标描述非线性模态互作用对基本模态初始幅值和相角的影响,复合模态非线性指标描述基本模态与复合模态互作用的强度,模态非线性贡献因子描述基本模态和复合模态对扭矩2阶解的贡献。以IEEE第1标准模型作为算例进行研究,获得了一些新观点。
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.
出处
《中国电机工程学报》
EI
CSCD
北大核心
2010年第7期70-76,共7页
Proceedings of the CSEE
基金
新世纪优秀人才支持计划项目(NCET-05-0216)
长江学者和创新团队发展计划项目(IRT0515)
高等学校学科创新引智计划项目(B08013)~~
关键词
次同步振荡
模态级数法
暂态扭矩
非线性模态互作用
扭振动态
subsynchronous resonance
modal series method
transient torques
nonlinear modal interaction
torsional dynamics
