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Modern accelerator driven experiments like linear colliders or spallation sources are supplied by RF amplifiers using klystrons. The cathode voltage for these klystrons can be generated by long pulse modulators generating highly accurate voltage pulses in the length of milliseconds. In this paper an optimzation procedure based on an electrical and a thermal model of a series parallel resonant converter (SPRC) supplying these klystrons is presented. The efficiency of a basic SPRC-module is 95.3% with a pulsed power density of 6.64 kW/l.