State space analysis of the short circuit fault for transmission lines

In this study, a real transmission line is modelled as a single phase lumped parameter transmission line (T-line model). State space equations are formulated for this T-line model and the system?s stability and controllability are checked by using state space equations. The state equations for the T-line model are modified for short circuit case at any distance of the line and the T-line model?s output voltage and short circuit current changing by time are plotted for `before?, `during?, and `after? the fault case. These figures are obtained by solving the state equations using a computer program MATLAB. MATLAB program first calculates the state equations and then plots the output voltage and short circuit current figures. The output voltage and short circuit current frequency spectrums are plotted depending on the voltage and current time domain analysis.