谐波谐振的模态分析法及其应用Modal Analysis Method of Harmonic Resonance and the Application
丘凌,丘扬
QIU Ling,QIU Yang
摘要(Abstract):
通过计算与分析,论证了系统并联谐振频率与回路串联谐振频率完全相同。比较几种不同的模态分析法并得出结论:基于节点导纳矩阵或基于节点阻抗矩阵的模态分析法适用于系统并联谐振分析,且两种方法结果相同;基于回路阻抗矩阵的模态分析法适用于回路串联谐振分析,由于系统回路串联谐振频率与并联谐振频率完全相同,因而与系统并联谐振分析结果相同,单一使用基于回路阻抗矩阵的模态分析法并不能求得支路串联谐振频率;结合运用基于节点导纳矩阵的模态分析法和虚拟支路法,可求得包括支路串联谐振频率在内的系统全部谐波谐振频率。论证了虚拟支路法对于支路串联谐振分析的适用性。
Through calculation and analysis, the paper demonstrates that the parallel resonance frequency of the system is the same as the loop series resonance frequency. It is concluded by comparing several different modal analysis methods that modal analysis methods based on node admittance matrix or node impedance matrix are suitable for the analysis of parallel resonance, and the results of the two methods are the same. The modal analysis methods based on loop impedance matrix are suitable for the analysis of loop series resonance. Because parallel resonance frequency of the system is the same as loop series resonance frequency of the system, the results of harmonic resonance are the same as the analysis of parallel resonance. The modal analysis method using loop impedance matrix only can not conclude branch series resonance frequency. In combination with modal analysis method and virtual branch based on node admittance matrix, all harmonic resonance frequencies including branch series resonance frequency can be concluded. The paper demonstrates that the virtue branch method can be applicable to tributary series resonance analysis.
关键词(KeyWords):
谐波谐振;模态分析;并联谐振;回路串联谐振;支路串联谐振
harmonic resonance;modal analysis;parallel resonance;loop series resonance;branch series resonance
基金项目(Foundation):
作者(Author):
丘凌,丘扬
QIU Ling,QIU Yang
DOI: 10.19585/j.zjdl.2014.02.004
参考文献(References):
- [1]WILSUN XU,HUANG ZHENGYU,YU CUI,et al.Harmonic resonance mode analysis[J].IEEE Transactions on Power Delevery,2005,20(2):1182-1190.
- [2]徐文远,张大海.基于模态分析的谐波谐振评估方法[J].中国电机工程学报,2005,25(22):89-93.
- [3]周辉,吴耀武,娄素华,等.基于模态分析和虚拟支路法的串联谐波谐振分析[J].中国电机工程学报,2007,27(28):84-89.
- [4]仰彩霞,刘开培,王东旭.基于回路模态分析法的串联谐波谐振评估[J].高电压技术,2008,34(11):2459-2462.
- [5]雷之力,艾欣,崔明勇,等.基于模态评估法的微网串联谐振仿真[J].浙江大学学报(工学版),2011,45(1):178-184.
- [6]PEREZ-ARRIAGE I J,VERGHESE G C,SCHWEPPE FC.Selective model analysis with application to electric power systems(part I):heuristic introduction[J].IEEE Trans on Power Apparatus and Systems,1982,101(9):3117-3125.
- [7]周双喜,朱凌志,郭锡玖,等.电力系统电压稳定性及其控制[M].北京:中国电力出版社,2004.
- [8]彭谦,马晨光,杨雪梅,等.线性模态分析中的参与因子与贡献因子[J].电网技术,2010,34(2):92-96.
- [9]张丽莹,杨洪耕,刘亚梅.基于网络固有结构理论的集中滤波器配置[J].现代电力,2008,25(2):42-46.
- [10]王艳松,刘军,李中树.配电网无源滤波器的优化配置[J].高电压技术,2010,36(9):2324-2328.[10]
- 谐波谐振
- 模态分析
- 并联谐振
- 回路串联谐振
- 支路串联谐振
harmonic resonance - modal analysis
- parallel resonance
- loop series resonance
- branch series resonance