The state-of-the-art in the physics of large-volume high-power gas discharg
es is reviewed. The characteristic properties and distinguishing features o
f high-pressure self-sustained discharges are discussed, existing experimen
tal data are presented, and major formation and constriction models conside
red. It is shown that the lower bound on the discharge ignition voltage is
due to the onset of cathode instability. Relations between the discharge pa
rameters at the glowing and power delivery stages are analyzed. Record disc
harge characteristics are presented and difficulties involved in constructi
ng a comprehensive theory of this type of discharge are pointed out.