Single-End Fault Location Algorithm Using Quadratic Equation Solution

This document presents a single-end fault location algorithm utilizing quadratic equation solution methodology, integrated with PSCAD software to achieve precise fault distance measurement. The algorithm demonstrates high effectiveness and is widely employed in power system fault detection and location applications. When faults occur in power systems, rapid and accurate fault positioning becomes crucial for prompt repair operations. This algorithm calculates fault distance by analyzing voltage and current data from the power system through sophisticated mathematical processing. The core implementation involves solving quadratic equations derived from power system impedance calculations, where the algorithm processes measured voltage and current phasors to determine the fault distance equation. Key functions include data acquisition from protection relays, phasor estimation using Fourier transform techniques, and impedance-based distance calculation through quadratic equation roots analysis. Using PSCAD simulation software, power system fault scenarios can be modeled realistically, and the algorithm can be applied to compute fault distances with high precision. The simulation environment allows for parametric studies and algorithm validation under various system conditions. This algorithm holds significant application value in power system fault detection and location, ultimately enhancing system reliability and stability through improved fault management capabilities.