Transient Analysis of Single-Line-to-Ground Faults in Three-Phase Circuits Using Clarke Transformation

This work deals with the analytical solution of transients in single-line-to-ground faults in three-phase power systems through the Clarke transformation. The proposed approach is based on the Thevenin representation of the alpha, beta, and zero component circuits in the Laplace domain. The fault results in a mutual coupling of such circuits. For the single-line-to-ground fault the circuit coupling can be represented by an ideal transformer connected between the alpha and the zero component circuits. The proposed systematic methodology, however, can be readily extended to other kinds of faults. The analytical solution derived in the paper is validated through Matlab simulations in the time domain.