A high-precision harmonic distortion measurement algorithm and its system design based on time-domain matrix operations

• Published in: Journal of physics. Conference series Vol. 2290; no. 1; pp. 12109 - 12114
• Main Authors: Shao, Kunming, Zhao, Mingjian, Zheng, Jiachun, Zeng, Guangsen, Li, Bin, Ma, Biyun, Wu, Zhaohui
• Format: Journal Article
• Language: English
• Published: Bristol IOP Publishing 01.06.2022
• Subjects: Algorithms; Amplitudes; Digital signal processing; Harmonic distortion; Linear functions; Mathematical analysis; Matrices (mathematics); Physics; Systems design; Time domain analysis
• ISSN: 1742-6588; 1742-6596
• DOI: 10.1088/1742-6596/2290/1/012109

Abstract In this paper, a harmonic distortion measurement algorithm and its system design based on time-domain matrix operations are proposed, which can quickly calculate the harmonic amplitudes, phases and total harmonic distortion of a signal. To realize the calculation of harmonic signal parameters in the time domain, we proposed a method to convert the nonlinear function representing the signal into a linear function, constructed a matrix equation, and solved the equation by the row transformation method, which significantly reduced the complexity of the algorithm. Finally, based on the proposed algorithm, a system design was implemented by the digital signal processing theory, and the measurements showed that the system achieves an amplitude error of nearly 1% and a THD error of less than 0.3% when measuring the generated 10 kHz fundamental with 5-order harmonics. The system can be used to measure and calculate the amplitudes and THD of harmonic distortion signals with high precision.