The electron energy distribution in low‐pressure pulsed power plasma switches is typically not in equilibrium with the local electric field. To simulate electron transport under these conditions a computer model has been developed and has been applied to the optically triggered pseudospark, or back‐lit‐thyratron (BLT). The model uses many groups of electrons divided into the ‘‘bulk’’ and the ‘‘beam’’. The bulk is represented by a fluid while the beam electrons are ballistic in nature and have not undergone significant energy‐loss collisions after generation. To account for beam electrons being generated at arbitrary locations in the BLT, multiple beams are employed in the model. The commutation phase of switching in the BLT is investigated and the onset of a hollow cathode effect during switching is predicted.