Modeling of constant distributed parameter transmission line for simulation of natural and envelope waveforms in power electric networks

A transmission line model with constant distributed parameters for the efficient simulation of diverse transients in power electric networks is proposed. The novelty of the model lies in its capability to simulate both natural waveforms as observed in reality and envelope waveforms that modulate AC carriers. To achieve the bridging between natural and envelope waveforms, the model processes analytic signals whose Fourier spectrums can be shifted. The shift frequency is introduced as a simulation parameter in addition to the time step size. Interpolation is used to obtain results when the wave propagation time between both ends of the line is not an integer multiple of the time step size of the simulation. The model is implemented in a nodal analysis based simulator and validated through the study of the energization of a transmission line.