基于阶梯波的周期非正弦电压精密测量——阶梯波研究之四

doi:10.3969/j.issn.1000-1158.2019.03.22

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Abstract A novel method using the regular distributed partial data for the periodic signal analysis is proposed. Differential measurement of the non-sinusoidal voltage signal based on a staircase waveform is discussed, where the first and last parts of each step are discarded to overcome the transient effect and Gibbs phenomenon. In Fourier transformation of higher frequency components the significant deviations will be caused. When the base functions are divided with same mode, the relevant influence matrix will be derived; its inverse matrix can then recover the original Fourier coefficients. The key point here is to simplify calculation of the inverse matrix. The condition of this simplification is proposed in which the influence matrix becomes sparse. The limiting amplitude condition required in the differential sampling based on the staircase waveform is investigated. Simulations and demonstration experiments show an acceptable workload and a very high accuracy. This method can be applied to spectrum analysis when partial samples are regularly lost.

Key words： metrology non-sinusoidal voltage staircase waveform harmonic analysis discrete Fourier transforms non-uniform sampling

Received: 19 October 2018 Published: 19 April 2019

PACS:

TB971

Corresponding Authors: Zuliang LU E-mail: luzl4810@qq.com

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	LU Zu-liang
	YANG Yan
	HUANG Lu
	WANG Lei

Cite this article:

LU Zu-liang,YANG Yan,HUANG Lu, et al. Precision Measurement of Non-sinusoidal Voltage Based on Staircase Waveform[J]. Acta Metrologica Sinica, 2019, 40(3): 481-490.

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http://jlxb.china-csm.org:81/Jwk_jlxb/EN/10.3969/j.issn.1000-1158.2019.03.22 OR http://jlxb.china-csm.org:81/Jwk_jlxb/EN/Y2019/V40/I3/481

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