Evaluation of the error limits introduced by instrument transformers in determining the fault distance in transmission lines using Genetic and Particle Swarm Algorithms
Transmission lines, fault location, instrument transformers, metaheuristics, particle swarm, genetic algorithms.
The electrical system is composed of numerous transmission lines, which have great lengths and are constantly exposed to inclement weather and extreme conditions imposed by nature. As transmission lines are the most vulnerable elements of the system to failures, their monitoring, control, and rapid maintenance are extremely important. In this context, increasingly accurate fault location methods become necessary to ensure maximum reliability of system operation.
Fault location algorithms based on two-terminal data generally show better accuracy when measurement synchronization strategies and estimation of line electrical parameters are used, depending on the fault point determination method. In this sense, fault location methodologies have been developed considering synchronization errors in voltage and current signals, as well as methodologies that do not depend on transmission line electrical parameters as input data.
It is known that instrument transformers (ITs) play an important role in introducing errors in fault location. Other error sources are also important, but errors from ITs in modeling optimization problems were considered a considerable challenge, not only due to the dynamic nature of the domain, but also due to the significant values that these errors can present.
Thus, in this work, two new approaches are proposed for evaluating the error limits of fault location in transmission lines, obtained from an algorithm that is independent of the electrical parameters of the lines, considering only the errors introduced by ITs. Given the complexity of the objective function, it was decided to solve the problem using a metaheuristic. The algorithms tested are adaptations of two metaheuristics: Genetic Algorithm and Particle Swarm, for a dynamic domain problem, since the phase errors, inherent in the voltage and current sampling by the ITs, have a dependency relationship with the errors of the modules, defined by the accuracy parallelogram of the corresponding IT. These algorithms were chosen because they are the most frequently used in power system optimization problems. A comparison is made between the performances of both algorithms in order to verify which one best suits the solution of the problem.
The gap that the proposed algorithms aim to fill is related to the evaluation of error limits in fault location without the need to analyze all possible error combinations introduced by the input data from instrument transformers. It should be noted that the inclusion of all possible error sources would be a topic for future and more comprehensive research.