Abstract: A refrigeration appliance with multiple storage compartments has a refrigerant circuit with a first expansion valve, a first heat exchanger, a second expansion valve, and a second heat exchanger connected in series between pressure and suction connections of a compressor. Each heat exchanger is associated with at least one storage compartment in order to control its temperature. A control unit controls the compressor rotational speed and positions of the expansion valves. The control unit has a continuously linear regulator for each storage compartment with a P-component for estimating a required temperature control output using a difference between actual and target temperatures. A model computing unit ascertains a target evaporation temperature for a first storage compartment controlled by the first heat exchanger, and for a second storage compartment controlled by the second heat exchanger.

Abstract: A refrigeration appliance, in particular a household refrigeration appliance, includes at least first, second and third storage chambers, and a refrigerant circuit on which the following are connected in series between a pressure connection and a suction connection of a compressor: a condenser, a first expansion valve, a first heat exchanger of the first storage chamber, a second expansion valve, a second heat exchanger of the second storage chamber, a third heat exchanger assigned to the third storage chamber, and a control circuit for controlling operation of the compressor and the expansion valves. The third heat exchanger is connected in series downstream of the second heat exchanger. The control circuit is configured to maintain a higher storage temperature in the third storage chamber than in the second storage chamber. A method for operating the refrigeration appliance and a computer program product are also provided.