An Approach to Assessing Spatial Coherence of Current and Voltage Signals in Electrical Networks

• Published in: Mathematics (Basel) Vol. 10; no. 10; p. 1768
• Main Authors: Ilyushin, Pavel, Kulikov, Aleksandr, Suslov, Konstantin, Filippov, Sergey
• Format: Journal Article
• Language: English
• Published: Basel MDPI AG 01.05.2022
• Subjects: Algorithms; Alternative energy sources; Amplitudes; Coherence; Correlation coefficients; Cross correlation; Deviation; double-ended transmission line fault location; Electric potential; Electrical networks; Energy industry; Energy resources; Fault location; Food science; Fourier transforms; Interharmonics; Mathematical analysis; normalized cross-correlation coefficient; power quality indices; Renewable resources; Sensors; Signal processing; spatial coherence; synchronized measurements; Topography; Transmission lines; Voltage
• ISSN: 2227-7390; 2227-7390
• DOI: 10.3390/math10101768

In the context of energy industry decentralization, electrical networks encounter deviations of power quality indices (PQI), including violations of the sinusoidality of current and voltage signals, which increase errors in the joint digital processing of spatially separated signals in digital devices. This paper addresses specific features of using the concept of spatial coherence in the measurement and digital processing of current and voltage signals. Methods for assessing the coherence of current and voltage signals during synchronized measurements are considered for the case of PQI deviation. The example of a double-ended transmission line fault location (hereafter, DTLFL) demonstrates that the lower the cross-correlation coefficient, the higher the error and the lower the accuracy of calculating the distance to the fault site. The nature of the influence of spatial coherence violations on errors in DTLFL depends on the expression used to calculate the distance to the fault point. The application of a normalized cross-correlation coefficient for finding errors in the digital processing of current and voltage signals, in the case of spatial coherence violation, was substantiated. The influence of interharmonics and noise on errors in DTLFL, in the case of violations of spatial coherence of signals, was investigated. The magnitude of distortions and error in estimating the current and voltage amplitude depends on the ratio between the amplitudes and phases of the fundamental and distorting interharmonics. Filtration of the original and decimated signals based on the discrete Fourier transform eliminates the noise components of the power frequency harmonics.