State variable distributed-parameter representation of transmission line for transient simulations

In this paper, a distributed-parameter state variable approach is used to calculate transients on transmission lines based on the concept of travelling waves. The Method of characteristics for lossless line is used and the state equations are derived for the system. These equations are converted to a set of difference equations using the trapezoidal rule of integration and solved in time domain using LU decomposition Single- and multi-phase transmission lines with various linear and non-linear terminations are considered in the illustrative examples State-space m Of transposed lines using Modal decomposition is introduced and the effects caused by lumped parameter approximation of line losses are described Comparisons With the results obtained by E and conventional methods based on s-domain are given