应用于谐波测量的二次加权傅里叶变换关键参数分析  

Analysis of key parameter of quadratic weighted Fourier transform applied to harmonic measurement

作　　者：常周 王磊[2] 石照民 姜磊 王致君 许素安 CHANG Zhou;WANG Lei;SHI Zhaomin;JIANG Lei;WANG Zhijun;XU Suan(College of Mechanical and Electrical Engineering,China Jiliang University,Hangzhou 310018,China;Institute of Electromagnetic Metrology Science,National Institute of Metrology,Beijing 100029,China)

机构地区：[1]中国计量大学机电工程学院,浙江杭州310018 [2]中国计量科学研究院电磁计量科学研究所,北京100029

出　　处：《现代电子技术》2024年第22期153-159,共7页Modern Electronics Technique

基　　金：国家重点研发计划项目(2023YFF0614802)。

摘　　要：基于准同步采样的二次加权傅里叶变换方法(下称二次加权傅里叶变换方法)解决了可编程约瑟夫森电压标准(PJVS)应用于谐波电压测量中的过渡过程和非同步采样问题,极大地提升了谐波电压测量的准确度。为使二次加权傅里叶变换方法在实际应用中更加系统和完善,针对二次加权傅里叶变换的几个关键参数进行了研究,包括频率同步误差、谐波复杂程度以及阶梯电压的台阶数和采样点数,并对测量结果的影响展开讨论和分析,提供了测量参数设定的参考指标,给出了测量误差评估方法及示例,为二次加权傅里叶变换方法在实际测量中的应用提供了理论依据。The quadratic-weighted Fourier transform method based on quasi-synchronous sampling(hereinafter referred to as quadratic-weighted Fourier transform method) solves the problems of transition process and non-synchronous sampling in the application of programmable Josephson voltage standard(PJVS) to harmonic voltage measurement.The accuracy of harmonic voltage measurement is improved greatly.In order to make the quadratic-weighted Fourier transform method more systematic and perfect in practical application,several key parameters of quadratic-weighted Fourier transform are studied,including frequency synchronization error,harmonic complexity,the number of steps and sampling points of the step voltage.The influence of measurement results is discussed and analyzed,and the reference indicators for setting measurement parameters are provided.The measurement error evaluation method and an example are given,which provides a theoretical basis for the application of the quadratic-weighted Fourier transform method in the actual measurement.

关 键 词：二次加权傅里叶变换方法 可编程约瑟夫森电压标准 谐波测量 非同步采样 关键参数 误差评估 

分 类 号：TN911.7-34[电子电信—通信与信息系统] TB971[电子电信—信息与通信工程]