电力系统串联谐波谐振的特性分析与灵敏度计算

分析电力系统谐波背景下模态分析与谐波谐振关联的机理,根据回路阻抗矩阵,绘制矩阵特征值频谱和串联谐波谐振下的关键模态导纳。根据串联谐振及谐波激励的自身特点,提出使用虚拟支路对系统拓扑结构进行修正处理,对网络进行谐波谐振模态分析,将模态分析结果与系统导纳频谱扫描结果进行比较,验证谐波谐振频率计算方法的可行性和准确性。定义灵敏度矩阵,通过基本回路矩阵确定系统元件与回路阻抗矩阵元素间的关联性,推导关键模态下特征值对各网络元件电气参数的灵敏度,通过标准化处理,提高了各支路元件灵敏度的可比性。对IEEE30母线系统进行仿真分析,得出串联谐振对元件的灵敏度影响程度和串联谐振的定位及传播范围。

Characteristics analysis of power system series harmonic resonance and sensitivity calculation

The mechanism of association between modal analysis and harmonic resonance in power system harmonics is analyzed firstly, and the spectrums of matrix eigenvalues and critical modal admittance in series harmonic resonance are drawn according to the loop impedance matrix. Then, the system topology corrected with dummy branch is proposed based on the characteristics of series resonance and harmonic excitations to analyze the harmonic resonance of power network. The result of analysis is compared with the result of system admittance spectrum scan to verify feasibility and accuracy of the harmonic resonance frequency calculation method. Next, defining the sensitivity matrix, the sensitivity of key model eigenvalue to each network element electrical parameters is derived using fundamental loop matrix to determine relevance between system components and loop impedance matrix elements. The comparability among the sensitivities of branch elements is improved using the standardization. Finally, simulation analysis of the IEEE30 bus system is made, and the impact of series resonance on the element sensitivity, the series resonance positioning and transmission range are obtained.