This paper surveys various methodologies used to classify faults in electrical power transmission lines. It examines 13 different approaches, including support vector machines, genetic algorithms, discrete wavelet transform-extreme learning machine, and Euclidean distance-based functions. The paper provides an overview of each methodology, summarizing their key characteristics. It concludes that research is ongoing to develop faster and more computationally effective algorithms for real-time fault classification that can reduce relay operation times and incorporate flexible transmission strategies.