System for cooling a process fluid of a heat-producing apparatus, comprising: an outlet of the heat-producing apparatus, the outlet being provided for discharging process fluid to be cooled from the heat-producing apparatus; an inlet of the heat-producing apparatus, the inlet being provided for supplying cooled process fluid to the heat-producing apparatus; and a thermodynamic cycle device, in particular an ORC device, the thermodynamic cycle device comprising: an evaporator having an inlet for supplying the process fluid to be cooled from the outlet of the heat-producing apparatus and having an outlet for discharging the cooled process fluid to the inlet of the heat-producing apparatus, wherein the evaporator is adapted to evaporate a working medium of the thermodynamic cycle device by means of heat from the process fluid; an expansion machine for expanding the evaporated working medium and for generating mechanical and/or electrical energy; a condenser for liquefying the expanded working medium; and a pump for pumping the liquefied working medium to the evaporator; wherein the system further comprises a cooler for cooling at least part of the process fluid to be cooled; characterized in that the outlet of the evaporator is connected to an inlet of the cooler, an outlet of the cooler is connected to an inlet of the condenser, and an outlet of the condenser is connected to the inlet of the heat-producing apparatus, so that in operation the process fluid is guided from the evaporator through the condenser for further cooling, is subsequently passed through the condenser as a heat-absorbing medium, and is in turn subsequently guided to the inlet of the heat-producing apparatus. an outlet of the heat-producing apparatus, the outlet being provided for discharging process fluid to be cooled from the heat-producing apparatus; an inlet of the heat-producing apparatus, the inlet being provided for supplying cooled process fluid to the heat-producing apparatus; and a thermodynamic cycle device, in particular an ORC device, the thermodynamic cycle device comprising: an evaporator having an inlet for supplying the process fluid to be cooled from the outlet of the heat-producing apparatus and having an outlet for discharging the cooled process fluid to the inlet of the heat-producing apparatus, wherein the evaporator is adapted to evaporate a working medium of the thermodynamic cycle device by means of heat from the process fluid; an expansion machine for expanding the evaporated working medium and for generating mechanical and/or electrical energy; a condenser for liquefying the expanded working medium; and a pump for pumping the liquefied working medium to the evaporator; an evaporator having an inlet for supplying the process fluid to be cooled from the outlet of the heat-producing apparatus and having an outlet for discharging the cooled process fluid to the inlet of the heat-producing apparatus, wherein the evaporator is adapted to evaporate a working medium of the thermodynamic cycle device by means of heat from the process fluid; an expansion machine for expanding the evaporated working medium and for generating mechanical and/or electrical energy; a condenser for liquefying the expanded working medium; and a pump for pumping the liquefied working medium to the evaporator; wherein the system further comprises a cooler for cooling at least part of the process fluid to be cooled; characterized in that the outlet of the evaporator is connected to an inlet of the cooler, an outlet of the cooler is connected to an inlet of the condenser, and an outlet of the condenser is connected to the inlet of the heat-producing apparatus, so that in operation the process fluid is guided from the evaporator through the condenser for further cooling, is subsequently passed through the condenser as a heat-absorbing medium, and is in turn subsequently guided to the inlet of the heat-producing apparatus.