系统仿真学报 ›› 2016, Vol. 28 ›› Issue (11): 2798-2804.doi: 10.16182/j.issn1004731x.joss.201611022

• 仿真应用工程 • 上一篇    下一篇

基于曲线拟合模型的电网基波测量原理研究

刘理云1, 曾喆昭2   

  1. 1.娄底职业技术学院电子信息工程系,湖南 娄底 417000;
    2.长沙理工大学电气与信息工程学院,湖南 长沙 410014
  • 收稿日期:2015-11-03 修回日期:2016-03-01 出版日期:2016-11-08 发布日期:2020-08-13
  • 作者简介:刘理云(1975-),男,湖南娄底,硕士,副教授,研究方向为应用电子技术、仪器仪表;曾喆昭(1963-),男,湖南蓝山,博士,教授,研究方向为智能信息处理与智能控制。
  • 基金资助:
    湖南省科技计划(2014SK3227)

Measuring Principle Research on Fundamental Wave of Grid Based on Curve Fitting Model

Liu Liyun1, Zeng Zhezhao2   

  1. 1. Department of Electron Information Engineer, Loudi College of Vocational & Technical, Loudi 417000, China;
    2. School of Electric and Information Engineering, Changsha University of Science and Technology, Changsha 410014, China
  • Received:2015-11-03 Revised:2016-03-01 Online:2016-11-08 Published:2020-08-13

摘要: 提出了基于代数多项式模型的电网基波测量原理,其主要思想是根据递推最小二乘法(RLS)优化计算代数多项式模型参数,使代数多项式模型能高精度拟合待测的电网基波信号,然后使用最速下降法迭代计算已拟合多项式模型的零点,并根据相邻两个零点的时间差得到待测基波的频率;再根据相邻两个零点之间的中点对应的拟合模型值即可获得基波的幅值;最后由第一个样本数据即可获得基波的初始相位。仿真结果表明,该测量方法不仅具有很高的基波检测精度,而且具有很强的噪声免疫能力,因而是一种行之有效的基波检测方法。

关键词: 电网基波, 基波检测, 代数多项式, 曲线拟合

Abstract: Measuring principle of grid fundamental wave based on algebraic polynomial model is proposed. Its main idea is to optimize parameters of algebraic polynomial model so as to accurately fit the power grid fundamental wave signal to be measured based on the recursive least squares (RLS), and then the steepest descent method was adopted to iteratively calculate zeros of the fitting polynomial model, and then fundamental frequency was obtained according to time difference of the adjacent two zeros. Fundamental wave amplitude could be obtained according to the fitting model values corresponding to the middle of the adjacent two zero points. Finally, initial phase of the fundamental wave could be obtained by the first sample data. Simulation results show that the method proposed is an effective detection method, which has very high detection accuracy and strong noise immunity ability.

Key words: grid fundamental wave, fundamental wave detection, algebra polynomial, curve fitting

中图分类号: