CO
Systems and method for operating a refrigeration system include a heat exchanger configured to remove heat from a refrigerant and discharge the refrigerant into a conduit. A temperature sensor, a pressure sensor, and a pressure control valve are located along the conduit. A controller is configured to determine that the refrigerant leaving the heat exchanger is outside of a subcritical region based on the measured temperature or measured pressure of the refrigerant. A target temperature is determined based at least in part on a pseudo-subcooling temperature value and the measured temperature of the refrigerant. A supercritical pseudo-saturated pressure is determined based on the target temperature. A pressure offset is determined based on the target temperature, a maximum operating pressure of the refrigeration system, and an offset factor. The pressure control valve is operated to drive the pressure to a target pressure based on the pressure offset and the pseudo-saturated pressure.
1 . A refrigeration system comprising:
a heat exchanger configured to remove heat from a refrigerant and discharge the refrigerant into a conduit;
a temperature sensor located along the conduit and configured to measure a temperature of the refrigerant discharging from the heat exchanger;
a pressure sensor located along the conduit and configured to measure a pressure of the refrigerant discharging from the heat exchanger;
a pressure control valve located along the conduit and operable to regulate the pressure of the refrigerant leaving the heat exchanger; and
a controller communicably coupled to the temperature sensor, the pressure sensor, and the pressure control valve and configured to perform operations comprising:
determining that the refrigerant leaving the heat exchanger is outside of a subcritical region based on at least one of the measured temperature of the refrigerant and the measured pressure of the refrigerant;
determining a target temperature that is based at least in part on a pseudo-subcooling temperature value and the measured temperature of the refrigerant;
determining a supercritical pseudo-saturated pressure based on the target temperature;
determining an offset factor for a pressure offset, the offset factor comprising a dynamic value based at least in part on the measured temperature of the refrigerant, a dynamic offset factor enable setpoint, and a maximum operating pressure of the refrigeration system;
determining the pressure offset based on the target temperature, the maximum operating pressure of the refrigeration system, and the offset factor comprising the dynamic value; and
operating the pressure control valve to drive the pressure of the refrigerant leaving the heat exchanger to a target pressure that is based on the supercritical pseudo-saturated pressure and the pressure offset.
2 . The refrigeration system of claim 1 , wherein the offset factor comprises a user specified value.
3 . The refrigeration system of claim 1 , wherein the operation of determining the dynamic value of the offset factor is further based on a user specified vapor ratio of a flash tank.
4 . The refrigeration system of claim 1 , wherein the operation of determining the target temperature comprises a sum of the pseudo-subcooling temperature value and the measured temperature of the refrigerant.
5 . The refrigeration system of claim 1 , wherein the target pressure comprises a sum of the supercritical pseudo-saturated pressure and the pressure offset.
6 . The refrigeration system of claim 1 , wherein the operations further comprise:
generating a supercritical pseudo-saturation function for the refrigerant using supercritical pressure (P), enthalpy (H), and temperature (T) data for the refrigerant; and
determining the supercritical pseudo-saturated pressure using the supercritical pseudo-saturation function.
7 . The refrigeration system of claim 6 , wherein the operation of generating the supercritical pseudo-saturation function comprises:
identifying inflection points of supercritical P-H isotherms for the refrigerant using the supercritical P-H-T data for the refrigerant; and
deriving the supercritical pseudo-saturation function from the inflection points of the supercritical P-H isotherms.
8 . The refrigeration system of claim 7 , wherein the operation of deriving the supercritical pseudo-saturation function from the inflection points of the supercritical P-H isotherms comprises fitting a supercritical pseudo-saturated line to the inflection points of the supercritical P-H isotherms.
9 . The refrigeration system of claim 1 , wherein the pseudo-subcooling temperature value is a dynamic value, and the operations further comprise determining the dynamic pseudo-subcooling temperature value based at least in part on the measured temperature of the refrigerant discharging from the heat exchanger.
10 . The refrigeration system of claim 9 , wherein the operation of determining the dynamic pseudo-subcooling temperature value comprises a function comprising a negative slope.
11 . The refrigeration system of claim 1 , wherein:
the pseudo-subcooling temperature value is one of a plurality of pseudo-subcooling temperature values, each of which applies to a corresponding temperature of the refrigerant discharging from the heat exchanger; and
default values of the plurality of pseudo-subcooling temperature values are adjustable by a user to control the pressure of the refrigerant discharging from the heat exchanger to higher or lower pressures at any measured temperature of the refrigerant discharging from the heat exchanger.
12 . The refrigeration system of claim 1 , wherein the operations further comprise:
determining that the refrigerant discharging from the heat exchanger is in the subcritical region;
determining a second target temperature based on a fixed temperature value and the measured temperature of the refrigerant;
determining a subcritical saturated pressure based on the second target temperature; and
operating the pressure control valve to drive the pressure of the refrigerant discharging from the heat exchanger to the subcritical saturated pressure corresponding to the second target temperature.
13 . A method, comprising:
operating a refrigeration system that comprises a heat exchanger configured to remove heat from a refrigerant and discharge the refrigerant into a conduit, a temperature sensor located along the conduit, a pressure sensor located along the conduit, and a pressure control valve located along the conduit;
measuring a temperature of the refrigerant discharging from the heat exchanger;
measuring a pressure of the refrigerant discharging from the heat exchanger;
determining that the refrigerant discharging from the heat exchanger is outside of a subcritical region based on at least one of the measured temperature of the refrigerant or the measured pressure of the refrigerant;
determining a target temperature that is based at least in part on a pseudo-subcooling temperature value and the measured temperature of the refrigerant;
determining a supercritical pseudo-saturated pressure based on the target temperature;
determining an offset factor for a pressure offset, the offset factor comprising a dynamic value based at least in part on the measured temperature of the refrigerant, a dynamic offset factor enable setpoint, and a maximum operating pressure of the refrigeration system;
determining the pressure offset based on the target temperature, the maximum operating pressure of the refrigeration system, and the offset factor comprising the dynamic value; and
operating the pressure control valve to drive the pressure of the refrigerant discharging from the heat exchanger to a target pressure that is based on the supercritical pseudo-saturated pressure and the pressure offset.
14 . The method of claim 13 , wherein the offset factor comprises a user specified value.
15 . The method of claim 13 , wherein determining the dynamic value of the offset factor is further based on a user specified vapor ratio of a flash tank.
16 . The method of claim 13 , wherein determining the target temperature comprises a sum of the pseudo-subcooling temperature value and the measured temperature of the refrigerant.
17 . The method of claim 13 , wherein the target pressure comprises a sum of the supercritical pseudo-saturated pressure and the pressure offset.
18 . The method of claim 13 , further comprising:
generating a supercritical pseudo-saturation function for the refrigerant using supercritical pressure (P), enthalpy (H), and temperature (T) data for the refrigerant; and
determining the supercritical pseudo-saturated pressure using the supercritical pseudo-saturation function.
19 . The method of claim 18 , wherein generating the supercritical pseudo-saturation function comprises:
identifying inflection points of supercritical P-H isotherms for the refrigerant using the supercritical P-H-T data for the refrigerant; and
deriving the supercritical pseudo-saturation function from the inflection points of the supercritical P-H isotherms.
20 . The method of claim 19 , wherein deriving the supercritical pseudo-saturation function from the inflection points of the supercritical P-H isotherms comprises fitting a supercritical pseudo-saturated line to the inflection points of the supercritical P-H isotherms.
21 . The method of claim 13 , wherein the pseudo-subcooling temperature value is a dynamic value, and the method further comprises determining the dynamic pseudo-subcooling temperature value based at least in part on the measured temperature of the refrigerant discharging from the heat exchanger.
22 . The method of claim 21 , wherein the determining the dynamic pseudo-subcooling temperature value comprises a function comprising a negative slope.
23 . The method of claim 13 , wherein:
the pseudo-subcooling temperature value is one of a plurality of pseudo-subcooling temperature values, each of which applies to a corresponding temperature of the refrigerant discharging from the heat exchanger; and
default values of the plurality of pseudo-subcooling temperature values are adjustable by a user to control the pressure of the refrigerant discharging from the heat exchanger to higher or lower pressures at any measured temperature of the refrigerant discharging from the heat exchanger.
24 . The method of claim 13 , further comprising:
determining that the refrigerant discharging from the heat exchanger is in the subcritical region;
determining a second target temperature based on a fixed temperature value and the measured temperature of the refrigerant;
determining a subcritical saturated pressure based on the second target temperature; and
operating the pressure control valve to drive the pressure of the refrigerant discharging from the heat exchanger to the subcritical saturated pressure corresponding to the second target temperature.