中国电机工程学报2017，Vol.37Issue(16)：4610-4617,8.DOI:10.13334/j.0258-8013.pcsee.161321
基于Gerschgorin定理和矩阵相似变换的谐波谐振参数安全域快速估计方法研究
Study on Fast Estimation Method of Parameter Security Region of Harmonic Resonance Based on Gerschgorin Theorem and Matrix Similarity Transformation
摘要
Abstract
In the circumstances of the smart grid,analysis and control of harmonic resonance becomes more complicated.Therefore,the prevention and control of harmonic resonance,especially the parameter security region of harmonic resonance,are worthy of in-depth study.A fast estimation method of harmonic resonance parameter security region was proposed in this paper.Firstly,based on Gerschgorin theorem and matrix similarity transformation,an explicit sufficient condition,which the elements of harmonic node admittance matrix should satisfy was deduced to avoid harmonic resonance.Further,an optimal programming model,whose variables are elements of the similar transformation matrix and constraints are linear,was established and solved.Finally,based on benchmarks in varied scales,the validity and superiority of the proposed method were demonstrated by comparing the estimated security regions and accurately calculated security regions.关键词
电能质量/谐波谐振/参数安全域/Gerschgorin圆盘定理/矩阵相似变换/线性约束优化规划Key words
power quality/harmonic resonance/parameter security region/Gerschgorin theorem/matrix similarity transformation/optimal planning with linear constraints分类
信息技术与安全科学引用本文复制引用
陈汝斯,林涛,余光正,毕如玉,徐遐龄..基于Gerschgorin定理和矩阵相似变换的谐波谐振参数安全域快速估计方法研究[J].中国电机工程学报,2017,37(16):4610-4617,8.基金项目
国家自然科学基金项目(51177111,51190105).Project Supported by National Natural Science Foundation of China (51177111,51190105). （51177111,51190105）
