摘要
为了克服模态分析技术中解耦复矩阵时存在的计算量大、运算效率低的不足,分别建立了利用复矩阵与实矩阵的谐波谐振分析方法,通过比较上述两种方法的阻抗分析结果、特征根轨迹、谐振频率、关键特征值、参与因子及灵敏度值,在一个典型的工业系统上进行的理论与仿真分析及算例研究得出:利用实矩阵的模态分析结果和模态灵敏度分析结果与利用复矩阵的分析结果相近,且利用实矩阵的运算可以避免复杂的复数运算。研究结果表明,提出的利用实矩阵的谐波谐振分析方法简单、有效,可用于确定谐波谐振的内在信息及各个网络元件对谐波谐振的贡献大小。
In order to overcome the drawbacks of complex matrix,such as complicated computation and inefficient calculation in modal analysis.Methods for analyzing the complex matrix-and real matrix-based harmonic resonance were established to compare modal impedances,eigenvalue loci,resonance frequency,critical eigenvalues,participation factors and normalized sensitivities,respectively.Theoretical and simulation analyses,along with case studies using a typical industrial test system,show that the results from modal analysis and modal sensitivity by complex matrix method are similar to those derived from real matrix method.Furthermore,complex computation could be avoidable by real matrix-based model analysis method.Therefore,this method was simple,effective and applicable in the determination of the harmonic resonance potentials and the contributions of various network components to a resonance situation.
出处
《高电压技术》
EI
CAS
CSCD
北大核心
2011年第2期491-496,共6页
High Voltage Engineering
基金
湖南省自然科学基金(2009FJ3049)~~
关键词
谐波谐振
模态分析
特征值
灵敏度分析
实矩阵分解
复矩阵分解
harmonic resonance
modal analysis
eigenvalue
sensitivity analysis
real matrix decoupling
complex matrix decoupling
