Distribution Network Fault Location Based on Fault Overcurrent Transformed into a Nonlinear Global Optimization Problem

Resource Overview

The Ant Colony Algorithm is a probabilistic algorithm designed for finding optimal paths in graphs. It represents a novel general-purpose heuristic approach for solving combinatorial optimization problems, featuring positive feedback mechanisms, distributed computing capabilities, and constructive greedy heuristic search properties. By establishing an appropriate mathematical model, distribution network fault location based on fault overcurrent can be reformulated as a nonlinear global optimization problem. Implementation typically involves defining pheromone matrices, path selection probabilities, and evaporation mechanisms to simulate ant foraging behavior.

Detailed Documentation

In this document, we explore the Ant Colony Algorithm, a probabilistic method for identifying optimal paths within graph structures. This algorithm serves as an innovative general heuristic approach for addressing combinatorial optimization challenges, characterized by its positive feedback loops, distributed computation architecture, and constructive greedy search strategies. Through the development of a suitable mathematical framework, fault location in distribution networks based on overcurrent abnormalities can be transformed into a nonlinear global optimization problem. The implementation typically involves coding pheromone update rules using matrix operations, designing state transition probabilities with roulette wheel selection, and incorporating evaporation coefficients to balance exploration and exploitation. This methodology enhances fault identification accuracy and provides more reliable diagnostic outcomes for power system maintenance.