Transmission Line Fault Location Using PCA-Based Best-Fit Curve Analysis
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ORIGINAL CONTRIBUTION
Transmission Line Fault Location Using PCA-Based Best-Fit Curve Analysis Alok Mukherjee1 • Palash Kumar Kundu2 • Arabinda Das2
Received: 28 May 2020 / Accepted: 29 October 2020 The Institution of Engineers (India) 2020
Abstract The paper presents a principal component analysis (PCA)-based method for localization of various power system faults in a 150 km long single side fed transmission line using quarter-cycle pre-fault and half-cycle post-fault sending end line current signals. The proposed work uses fault signals of ten different types of seven intermediate locations along the length of the line to develop three-phase PCA score indices. The localizer model is also designed for practical fitment, with fault signals contaminated with power system noise. These seven sets of indices are further used with the best-fit curve fitting method in the MATLAB environment to develop fault curves. Minimum root mean square error criteria are followed for selecting the fit type. Each fault class is designed with the required number of curves to estimate fault location. The proposed work produces a highly accurate localization, with only 0.1271% average percentage error for fault localization, and a maximum percentage error of 0.5821% for the 150 km line. Keywords Principal component analysis (PCA) Principal component indices (PCI) Curve fitting techniques Least square & Arabinda Das [email protected] Alok Mukherjee [email protected] Palash Kumar Kundu [email protected] 1
Government College of Engineering and Ceramic Technology, Kolkata 700010, India
2
Department of Electrical Engineering, Jadavpur University, Kolkata 700032, India
Introduction Fault classification and localization is one of the most frequently researched topics of power system stability and reliability. Large power transmission networks expand over miles under the sky and often are exposed to different atmospheric hazards like storm, snow, rain and many others. These cause minor to severe faults in the transmission lines. Relays and other detection devices provide live fault data regarding voltage, current, frequency, power factor, etc. to different protection algorithms to extract vital fault information. The objective of the proposed work is to develop a robust protection scheme to localize fault, in order to remove the cause of the fault and restore the normal operation at the earliest. A 150-km long transmission line has been simulated in EMTP software. Quarter-cycle pre-fault and half-cycle post-fault sending end currents are used as the working signals for this work. These signals are analyzed using PCA to develop PCA-based fault signatures. Power system noise is also incorporated in the current signals to enhance the practicality of the work. The faults are classified initially, followed by localization. PCA is applied over the normalized and scaled fault current signals to produce the PCA scores, which are further used to compute Principal Component Indices (PCI). These PCIs are the vector distance
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