非正弦周期信号的电网功率测量方法  

A method of power measurement under nonsinusoidal periodic signals

作　　者：康丽[1,2] 王洪亮[2] 

机构地区：[1]东莞理工学院电子工程学院,广东东莞523808 [2]重庆大学输配电装备及系统安全与新技术国家重点实验室,重庆400044

出　　处：《重庆大学学报（自然科学版）》2012年第8期122-126,共5页Journal of Chongqing University

基　　金：国家自然科学基金资助项目(51177181);重庆大学输配电装备及系统安全与新技术国家重点实验室访问学者项目(2007DA10512712408)

摘　　要：电力系统中,非整数次谐波的存在使得基于傅里叶(Fourier)变换的传统非正弦功率测量方法不再适用。提出了一种基于扩展Prony谐波分析的功率测量方法,首先采用Prony算法分析系统中电压、电流信号的整数次和非整数次谐波成分,求得各频率谐波成分的幅值、频率和相位信息,计算出各个频率的有功和无功功率。基于IEEE标准定义的有功功率,给出了Budeanu功率在含有非整数次谐波情况下的表达形式,进一步求得电网的有功功率和无功功率。通过仿真算例说明了本文方法的合理性和可行性,克服了传统基于Fourier变换方法仅适用于倍频谐波的缺陷,在含有非整数次谐波的情况下可以精确的测量各频率的电功率和电网的电功率,为电力系统非正弦情况下的功率测量和谐波治理提供了一条有效的途径和依据。In power system, traditional method of nonsinusoidal power measurement is not feasible for containing non-integer harmonics condition. A method of power measurement based on Prony algorithm is presented. At first, identify all modes of integer and non-interger harmonics from voltage and current signals, using Prony method. Futher more, calculate active and reactive power in each harmonics frequency, using the modes of harmonics. Based on the defination of IEEE active power, a expression of Budeanu power is given in non-integer harmonics condition. At last, active and reactive power of energy gird are calculated. The results of simulation prove that this method is feasibility. The method of power measurement based on Prony algorithm has high precision, especially for non-integer harmonics condition.

关 键 词：电力系统 功率测量 非正弦波形 谐波分析 PRONY分析 无功功率 

分 类 号：TM731[电气工程—电力系统及自动化]