| 基于初相和谐波理论的相位差测量方法 |
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| 引用本文： | 傅中君,王建宇,周根元,陈鉴富,欧云.基于初相和谐波理论的相位差测量方法[J].电测与仪表,2015,52(23). |
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| 作者姓名： | 傅中君 王建宇 周根元 陈鉴富 欧云 |
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| 作者单位： | 南京理工大学,南京理工大学,江苏理工学院,江苏理工学院,常州外国语学校 |
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| 基金项目： | 常州市科技计划项目（CC20130029） |
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| 摘 要： | 同频周期信号的相位差等于两个信号的初相差。文中给出了一种基于谐波叠加和牛顿迭代运算的周期信号初相计算方法,进而引入准同步DFT非整数修正算法,并提出一种新的相位差测量方法。该方法如下:(1)同步采样被测周期信号的波形数据;(2)应用准同步DFT非整数修正算法获得高精度的谐幅值和谐相角;(3)应用初相计算方法计算各自的初相;(4)计算相位差。仿真实验结果表明该方法可用于满足狄里赫利条件波形的相位差测量,频率漂移适应范围宽,测量精度高。
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| 关 键 词： | 相位差测量 周期信号 谐波分析 初相 非整数谐波分析 |
| 收稿时间： | 2014/10/10 0:00:00 |
| 修稿时间： | 2015/3/25 0:00:00 |
A Method for Phase Difference Measurement Based on Initial Phase and Harmonic Theory |
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| FU Zhongjun,WANG Jianyu,ZHOU Genyuan,CHEN Jianfu and OU Yun.A Method for Phase Difference Measurement Based on Initial Phase and Harmonic Theory[J].Electrical Measurement & Instrumentation,2015,52(23). |
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| Authors: | FU Zhongjun WANG Jianyu ZHOU Genyuan CHEN Jianfu and OU Yun |
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| Affiliation: | Nanjing University of Science Technology,Nanjing China Jiangsu University of Technology,Changzhou China,Nanjing University of Science Technology,Nanjing China Jiangsu University of Technology,Changzhou China,Jiangsu University of Technology, Changzhou China 213001,Jiangsu University of Technology, Changzhou China 213001,Changzhou Foreign Languages School, Changzhou China 213001 |
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| Abstract: | As we all know, the phase difference of two same frequency periodic signals equals to their initial-phase difference. For this reason, we give an initial-phase calculation method (IPCM) which is based on Harmonic Superposition Theory and the Newton Iteration Algorithm. The Non-integer Phase Difference Measurement (NI-PDM) method by initial-phase is as follows: (1) Synchronous sampling the waveform data of two periodic signals; (2) Getting high-precision amplitude and phase of each harmonic by using the non-integer harmonic analysis algorithm (NI-DFT); (3) Calculating initial-phase respectively by IPCM; (4) Calculating phase difference. Simulation results show that this method has a wide range of signal frequency drift and a high-precision, and can be used to measure the phase difference of waveform which meet the Diliheli conditions. |
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| Keywords: | Phase Difference Periodic Signal Harmonic Analysis Initial-phase NI-DFT |
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