Building cooling systems with energy optimization and model predictive control
A building cooling system includes one or more cooling devices operable to affect an indoor air temperature of a building and a system management circuit. The system management circuit is configured to obtain an objective function that includes a power consumption term and a comfort term, perform an optimization of the objective function over a time horizon to determine values of the cooling capacity of the cooling devices where each value of the cooling capacity corresponds to a time step of the time horizon, and control the cooling devices based on the values of the cooling capacity of the cooling devices. The comfort term of the objective function a difference between a prediction of the indoor air temperature of the building and a temperature setpoint for the building, while the power consumption term is a function of the power consumption of the one or more cooling devices.
1. A building cooling system comprising:
one or more cooling devices operable to affect an indoor air temperature of a building;
a system management circuit configured to:
obtain an objective function comprising a power consumption term and a comfort term, wherein:
the comfort term comprises a difference between a prediction of the indoor air temperature of the building and a temperature setpoint for the building;
the prediction of the indoor air temperature is based on an efficiency model that defines a relationship between cooling capacity of the one or more cooling devices and power consumption of the one or more cooling devices; and
the power consumption term is a function of the power consumption of the one or more cooling devices;
perform an optimization of the objective function over a time horizon to determine a plurality of values of the cooling capacity of the one or more cooling devices, each value of the cooling capacity corresponding to a time step of the time horizon; and
control the one or more cooling devices based on the plurality of values of the cooling capacity of the one or more cooling devices.
2. The system of claim 1 , wherein the one or more cooling devices comprise at least one of variable refrigerant flow units, room air conditioning units, packaged air conditioning units, or window air conditioning units.
3. The system of claim 1 , wherein the prediction of the indoor air temperature is based on a dynamic thermal model of the building comprising the efficiency model, wherein the relationship defined by the efficiency model is at least a three-dimensional relationship between the cooling capacity of the one or more cooling devices, the power consumption of the one or more cooling devices, and an outdoor air temperature.
4. The system of claim 1 , wherein the objective function further comprises a sum of the power consumption term and the comfort term.
5. The system of claim 1 , wherein the objective function further comprises a weighting parameter multiplied by the power consumption term or the comfort term.
6. The system of claim 5 , wherein the system management circuit is configured to obtain the weighting parameter from a user input.
7. The system of claim 1 , wherein controlling the one or more cooling devices based on the plurality of values of the cooling capacity of the one or more cooling devices comprises preventing, for each time step of the plurality of time steps, the cooling capacity of the one or more cooling devices from exceeding the value of the cooling capacity for the corresponding time step.
8. A method comprising:
operating equipment to affect an indoor air temperature of a building;
obtaining an objective function comprising a power consumption term and a comfort term, wherein:
the comfort term comprises a difference between a prediction of the indoor air temperature of the building and a temperature setpoint for the building;
the prediction of the indoor air temperature is based on an efficiency model that defines at least one of heating capacity or cooling capacity of the equipment as a function of power consumption of the equipment; and
the power consumption term is a function of the power consumption of the equipment;
determining, for each of a plurality of time steps of a time horizon, a value of at least one of the heating capacity or the cooling capacity of the equipment by performing an optimization of the objective function over the time horizon; and
controlling, for each of the plurality of time steps of the time horizon, the equipment based on the value of at least one of the heating capacity or the cooling capacity of the equipment.
9. The method of claim 8 , wherein the prediction of the indoor air temperature is based on a dynamic thermal model of the building comprising the efficiency model.
10. The method of claim 8 , wherein the objective function comprises a sum of the power consumption term and the comfort term.
11. The method of claim 8 , wherein controlling the equipment based on the value of at least one of the heating capacity or the cooling capacity of the equipment comprises preventing, for each of the plurality of time steps, at least one of the heating capacity or the cooling capacity of the equipment from exceeding the value for the corresponding time step.
12. The method of claim 8 , further comprising multiplying the comfort term or the power consumption term by a weighting parameter.
13. The method of claim 12 , further comprising obtaining a value of the weighting parameter based on a user input.
14. A building cooling system comprising:
one or more cooling devices operable to affect an indoor air temperature of a building;
a system management circuit configured to:
obtain an objective function comprising an efficiency term and a comfort term, wherein:
the comfort term comprises a difference between a prediction of the indoor air temperature of the building and a temperature setpoint for the building;
the prediction of the indoor air temperature is based on an efficiency model that defines a relationship between cooling capacity of the one or more cooling devices and power consumption of the one or more cooling devices; and
the efficiency term is a function of the power consumption of the one or more cooling devices;
perform an optimization of the objective function over a time horizon to determine a plurality of values of the cooling capacity of the one or more cooling devices, each value of the cooling capacity corresponding to a time step of the time horizon; and
control the one or more cooling devices based on the plurality of values of the cooling capacity of the one or more cooling devices.
15. The system of claim 14 , wherein the one or more cooling devices comprise at least one of variable refrigerant flow units, room air conditioning units, packaged air conditioning units, or window air conditioning units.
16. The system of claim 14 , wherein the prediction of the indoor air temperature is based on a dynamic thermal model of the building comprising the efficiency model.
17. The system of claim 14 , wherein the objective function further comprises a difference of the efficiency term and the comfort term.
18. The system of claim 14 , wherein the objective function further comprises a weighting parameter multiplied by the comfort term.
19. The system of claim 18 , wherein the system management circuit is configured to obtain the weighting parameter from a user input.
20. The system of claim 14 , wherein controlling the one or more cooling devices based on the plurality of values of the cooling capacity of the one or more cooling devices comprises preventing, for each time step of the plurality of time steps, the cooling capacity of the one or more cooling devices from exceeding the value of the cooling capacity for the corresponding time step.