基于小波分析法求解阻抗的一种新算法  

A NEW WAVELET ANALYSING METHOD OF CALCULATING IMPEDANCE

作　　者：王安定[1] 谢春朝[2] 

机构地区：[1]西安交通大学电气工程系 [2]太原工业大学

出　　处：《继电器》1998年第6期1-4,共4页Relay

摘　　要：提出了一种基于小波理论的阻抗计算新方法。此方法利用基函数为方波的小波函数，利用其中任意两次小波分量可以求解出感兴趣的电阻和电抗分量。给出了算法的理论推导和具体计算公式。为了简化分析，研究中采用了单相电路中电气量信号来检验该算法的有效性。在数字仿真计算中考虑了激励中有谐波存在的情况，同样也考虑了信号中含有随机噪声时的算法特性。为了便于对比，在仿真过程中也给出了由全周波富里叶算法计算出的结果。仿真结果表明，所提出的新算法比Ｆｏｕｒｉｅｒ算法有下述优点：１运算量小于全周Ｆｏｕｒｉｅｒ算法；２数据窗可灵活选择为全周波，１／２或１／４周波；３计算精度高于全周Ｆｏｕｒｉｅｒ算法。A new method,which is based on wavelet analysing,of calculating impedance is proposed in this paper.The wavelet based on square wave function is used in the new method,the resistance and reactance components of the intrested impedance can be calculated from any two components of signals' wavelets.To simplify the analysis,in the paper the electrical signals of a single phase circuit are used to verify the correctivity of the proposed method.In the simulation,the effect of harmonics and random noise in the source of the circuit is also investigated.For comparison,the results of calculated impedance using Fourier method are also tabled out.The simulation shows that the new method is of several advantages over the Fourier method.1.The calculating burden of the new method is less than that of the Fourier method.2.The data window length can be flexible selected as a full cycle,half a cycle of a quarter cycle.3.The results got from the new method are more accurate than those of calculated from the Fourier method.

关 键 词：小波分析 阻抗计算 富里叶算法 电力系统稳定 

分 类 号：TM712[电气工程—电力系统及自动化]