基于自适应步长的电力系统谐波谐振快速分析方法

Fast Analysis Method for Power System Harmonic Resonance Based on Adaptive Step Sizes

随着电力系统的快速发展,其规模越来越大、节点数量越来越多,频率扫描法和模态分析法作为目前应用最为广泛的两种谐波谐振分析方法,计算效率亟须提升。在传统方法的基础上,文中分别提出基于自适应步长的频率扫描法和基于自适应步长的模态分析法。首先,通过设置相应判据自适应改变扫描步长,使扫描区间能够快速到达谐振频率点附近,大幅减少了计算量;然后,在谐振频率点附近使用二次插值法确定谐振频率,保证了谐振频率计算精度;最后,以IEEE 14节点、IEEE 39节点和IEEE 118节点系统为例进行分析。结果表明,与传统方法相比,所提两种方法在保证谐振频率精度的同时可大幅提高运算速度,验证了所提方法的准确性和高效性。

With the rapid development of power system,its scale is getting larger and the number of nodes is increasing.As the two most widely used harmonic resonance analysis methods,the frequency scanning method and modal analysis method urgently need to be improved on the computational efficiency.Based on traditional methods,the frequency scanning method based on the adaptive step size and the modal analysis method based on the adaptive step size are proposed,respectively.First,by setting corresponding criteria to adaptively change the scanning step size,the scanning interval can quickly reach the vicinity of the resonant frequency point,thus greatly reducing the computational cost.Then,the quadratic interpolation method is used near the resonant frequency point to determine the resonant frequency,thus guaranteeing the calculation accuracy of the resonant frequency.Finally,the IEEE 14-bus,IEEE 39-bus and IEEE118-bus systems are taken as examples for analysis.The results show that compared with traditional methods,the proposed two methods can greatly improve the calculation speed while ensuring the accuracy of the resonant frequency,verifying the accuracy and efficiency of the proposed methods.