Broyden秩1法对电网谐波源探测中临界阻抗的修正

Corrections of critical impedance in power grid harmonic source detection based on single rank Broyden method

简要介绍了在主谐波源探测中临界阻抗法(CIM)的应用和原理,重点分析在两端源网络中临界阻抗法存在误差的原因,以及误差的存在对主谐波源探测的影响。针对临界阻抗法存在误差这个问题提出了用Broyden秩1法来修正临界阻抗,并分析了该方法比牛顿法有着运算量小,对初值依赖性小等优点。通过Matlab对两个算例的仿真,结果表明该方法用来修正临界阻抗后,能够准确地识别主谐波源,大大提高了临界阻抗法在谐波源探测中的准确性,提高了临界阻抗法在主谐波源识别中的实用价值。

This paper briefly describes the application and principles of the critical impedance method （CIM） in the main harmonic source detection, focusing on the analysis of the reasons for the CIM errors in both ends of the source network, and the effect of the error on the main harmonic source detection. Single rank Broyden method is proposed to correct the critical impedance, which has the advantages of smaller amount of computing than the Newton method, less dependence on the initial value, etc. MATLAB simulation of two examples show that using this method to correct the critical impedance can accurately identify the main harmonic source, greatly improve the accuracy of critical impedance method in the harmonic source detection, and enhance the practical value of the critical impedance in the main harmonic source identification.