A system (11) for storing and cooling milk comprises a cooling tank (12) provided to store milk (13), and a cooling arrangement for cooling the milk in the cooling tank comprising a cooling device (16), a sensor (17), and a control device (18). The cooling device comprises an evaporator (19), a compressor (20) connected with its suction side (20a) to the evaporator, a condenser (21) connected to the high pressure side (20b) of the compressor, and an expansion valve (22) interconnected between the condenser and the evaporator, thereby forming a closed circuit, in which a refrigerant can be circulated. The evaporator is in heat exchange contact with at least a portion of the bottom surface (12a) of the cooling tank, the sensor is provided to monitor a parameter indicative of the pressure (P) or temperature at the suction side of the compressor or in the evaporator, and the control device is operatively connected to the sensor and the compressor. The control device is configured to (i) control the compressor to run at full capacity during a first part of the cooling of milk in the cooling tank, and control (ii) the capacity of the compressor such that the pressure or temperature at the suction side of the compressor or in the evaporator is regulated towards a desired value (PTH) during a second part of the cooling of milk in the cooling tank, which follows after said first part.L'invention concerne un système (11), pour stocker et refroidir du lait, qui comprend un réservoir de refroidissement (12), conçu pour stocker le lait (13), et un agencement de refroidissement, pour refroidir le lait dans le réservoir de refroidissement, comprenant un dispositif de refroidissement (16), un capteur (17) et un dispositif de commande (18). Le dispositif de refroidissement comprend un évaporateur (19), un compresseur (20) relié sur son côté aspiration (20a) à l'évaporateur, un condenseur (21) relié au côté à haute pression (20b) du compresseur, et une vanne de détente (22) reliée en
