System and method for controlling vapor compression systems

1. A method for controlling a vapor compression system (VCS), comprising:

determining a new value of speed of a compressor of the vapor compression system, wherein the compressor is a variable speed compressor for compressing and pumping refrigerant through the vapor compression system;

retrieving from a memory a mapping specifying values of discharge temperature of the vapor compression system for different combinations of values of speed of the compressor and outdoor air temperature;

determining, using the mapping, a desired discharge temperature of the compressor for the new value of the speed of the compressor and the actual value of outdoor air temperature;

determining a transition function for transitioning the discharge temperature of the compressor as a function of time representing a low pass filter with a time constant proportional to the thermal time constant of the compressor;

filtering the desired discharge temperature using the transition function to produce a rate-limited desired discharge temperature;

controlling the compressor to change the current speed of the compressor to the new value; and

controlling a valve for providing an adjustable pressure between a high-pressure portion and a low-pressure portion of the vapor compression system such that the discharge temperature is transitioned to the rate-limited desired discharge temperature, wherein steps of the method are performed by at least one processor operatively connected to the memory, the compressor, and the valve.

2. The method of claim 1 , wherein the valve is controlled iteratively over time until the discharge temperature is transitioned to the desired discharge temperature, and controlling the valve at an instant of time comprises:

receiving a measurement of the actual discharge temperature at the instant of time;

updating the rate-limited desired discharge temperature according to the value of the transition function at the instant of time;

comparing the actual discharge temperature with the rate-limited desired discharge temperature to determine an error; and

generating a command to modify an opening of the valve such that the error is reduced.

3. The method of claim 1 , further comprising:

determining the thermal time constant based on the mass of the compressor, the thermal conductivity of a material of the compressor, and the outdoor air temperature, or combinations thereof.

4. The method of claim 1 , further comprising:

determining the mapping between values of the discharge temperature of the compressor, values of the speed of the compressor, and values of the outdoor air temperature.

5. A controller for controlling a vapor compression system having a variable speed compressor for compressing and pumping refrigerant through the vapor compression system and a valve for providing an adjustable pressure between a high-pressure portion and a low-pressure portion of the vapor compression system, the controller comprising:

a memory storing a mapping specifying values of discharge temperature controlling a superheat of the vapor compression system for different combinations of values of speed of the compressor and outdoor air temperature and storing a transition function for transitioning the discharge temperature of the compressor as a function of time representing a low pass filter with a time constant proportional to the thermal time constant of the compressor; and

at least one processor operatively connected to the memory, the compressor, and the valve, the processor is configured to

determine a new value of speed of the compressor;

determine, using the mapping, a desired discharge temperature of the compressor for the new value of the speed of the compressor and the actual value of outdoor air temperature;

filter the desired discharge temperature using the transition function to produce a rate-limited desired discharge temperature;

control the compressor to change the current speed of the compressor to the new value; and

control the valve such that the discharge temperature is transitioned to the rate-limited desired discharge temperature.

6. The controller of claim 5 , wherein the processor controls the valve iteratively over time until the discharge temperature is transitioned to the desired discharge temperature, wherein, at an instant of time, the processor

receives a measurement of the actual discharge temperature at the instant of time;

updates the rate-limited desired discharge temperature according to the value of the transition function at the instant of time;

compares the actual discharge temperature with the rate-limited desired discharge temperature to determine an error; and

generates a command to modify an opening of the valve such that the error is reduced.

7. A method for controlling a vapor compression system, comprising:

determining a new value of speed of a compressor of the vapor compression system, wherein the compressor is a variable speed compressor for compressing and pumping refrigerant through the vapor compression system;

retrieving from memory a mapping specifying values of discharge temperature of the vapor compression system for different combinations of values of speed of the compressor and outdoor air temperature;

determining, using the mapping, a desired discharge temperature of the compressor for the new value of speed of the compressor and the actual value of the outdoor air temperature;

determining a transition function for transitioning the discharge temperature of the compressor as a function of time representing a low pass filter with a time constant proportional to the thermal time constant of the compressor, wherein the low pass filter is a first order low pass filter;

filtering the desired discharge temperature using the transition function to produce a rate-limited desired discharge temperature;

controlling the compressor to change the current speed of the compressor to the new value; and

controlling a valve for providing an adjustable pressure between a high-pressure portion and a low-pressure portion of the vapor compression system such that the discharge temperature is transitioned to the rate-limited desired discharge temperature, wherein steps of the method are performed by at least one processor operatively connected to the memory, the compressor, and the valve.

8. A method for controlling a vapor compression system, comprising:

determining a new value of speed of a compressor of the vapor compression system, wherein the compressor is a variable speed compressor for compressing and pumping refrigerant through the vapor compression system;

retrieving from a memory a mapping specifying values of discharge temperature of the vapor compression system for different combinations of values of speed of the compressor and outdoor air temperature;

determining, using the mapping, a desired discharge temperature of the compressor for the new value of speed of the compressor and the actual value of outdoor air temperature;

determining a transition function for transitioning the discharge temperature of the compressor as a function of time representing a low pass filter with a time constant proportional to the thermal time constant of the compressor, wherein the transition function is determined according to

y[k]=a*u[k ]+(1− a )* y[k− 1],

wherein y[k] is an output of the transition function at a time step k defining the rate-limited desired discharge temperature, u[k] is the desired discharge temperature of the compressor determined at the time step k, y[k−1] is an output of the transition function at a previous time step, and a parameter a is a smoothing factor having values between 0 and 1 selected based on the thermal time constant of the compressor;

filtering the desired discharge temperature using the transition function to produce a rate-limited desired discharge temperature;

controlling the compressor to change the current speed of the compressor to the new value; and controlling a valve for providing an adjustable pressure between a high-pressure portion and a low-pressure portion of the vapor compression system such that the discharge temperature is transitioned to the rate-limited desired discharge temperature, wherein steps of the method are performed by at least one processor operatively connected to the memory, the compressor, and the valve.

9. A method for controlling a vapor compression system, comprising:

determining a new value of speed of a compressor of the vapor compression system, wherein the compressor is a variable speed compressor for compressing and pumping refrigerant through the vapor compression system;

retrieving from a memory a mapping specifying values of discharge temperature of the vapor compression system for different combinations of values of speed of the compressor and the outdoor air temperature;

determining, using the mapping, a desired discharge temperature of the compressor for the new value of speed of the compressor and the actual value of outdoor air temperature;

determining a transition function for transitioning the discharge temperature of the compressor as a function of time representing a low pass filter with a time constant proportional to the thermal time constant of the compressor, wherein the transition function is determined such that an output of the transition function at a time step k defines the rate-limited desired discharge temperature as a function of an output of the transition function at a time step k−1 and a desired discharge temperature,

filtering the desired discharge temperature using the transition function to produce a rate-limited desired discharge temperature;

controlling the compressor to change the current speed of the compressor to the new value; and

controlling a valve for providing an adjustable pressure between a high-pressure portion and a low-pressure portion of the vapor compression system such that the discharge temperature is transitioned to the rate-limited desired discharge temperature, wherein steps of the method are performed by at least one processor operatively connected to the memory, the compressor, and the valve.