A steam generator for a household appliance. The steam generator includes an evaporation chamber having a substantially planar evaporation surface with first and second sections. A water supply line is in fluid communication with the evaporation chamber and a steam discharge line is also in fluid communication with the evaporation chamber. The steam generator includes a heat accumulator configured to heat the evaporation surface. At least one of a valve and a pump is associated with the water supply line and operable to control an introduction of water into the evaporation chamber. An electric controller controls the heating of the heat accumulator by the heater and the introduction of water into the evaporation chamber using the at least one of valve and pump. The first section of the evaporation surface is a starter section that is thermally conductively coupled to the heat accumulator such that heat flow from the heat accumulator to the starter section is limited compared to the second section.
