A method for minimizing the insulation stress of a high-pressure discharge lamp system, with an operating device, which generates a high voltage for starting the high-pressure discharge lamp, wherein a starting voltage time sum applied during lamp starting is minimized, the starting voltage time sum is the sum of all time segments Zi during which the magnitude of the starting voltage exceeds a starting voltage limit, and the starting voltage limit is defined as the factor range of a maximum value, in terms of magnitude, of the applied high voltages.