The present disclosure relates generally to a central plant or central energy facility configured to serve the energy loads of a building or campus. The present disclosure relates more particular to a central plant with an asset allocator configured to determine an optimal distribution of the energy loads across various subplants of the central plant.
A central plant typically includes multiple subplants configured to serve different types of energy loads. For example, a central plant may include a chiller subplant configured to serve cooling loads, a heater subplant configured to serve heating loads, and/or an electricity subplant configured to serve electric loads. A central plant purchases resources from utilities to run the subplants to meet the loads.
Some central plants include energy storage. Energy storage may be a tank of water that stores hot water for campus heating, an ice tank for campus cooling, and/or battery storage. In the presence of real-time pricing from utilities, it may be advantageous to manipulate the time that a certain resource or energy type is consumed. Instead of producing the resource exactly when it is required by the load, it can be optimal to produce that resource at a time when the production cost is low, store it, and then use it when the resource needed to produce that type of energy is more expensive. It can be difficult and challenging to optimally allocate the energy loads across the assets of the central plant.
One implementation of the present disclosure is a controller for central plant equipment. The controller includes one or more processors and one or more non-transitory computer-readable media storing instructions that, when executed by the one or more processors, cause the one or more processors to perform operations. The operations include obtaining first values of flow rate of a fluid provided by one or more pumps to a building or campus and corresponding first values of a pressure differential across the building or campus during a first time period, generating a system curve for the building or campus that defines a relationship between the flow rate and the pressure differential using the first values of flow rate and pressure differential during the first time period, predicting a second value of the pressure differential across the building or campus during a second time period using the system curve and a second value of the flow rate during the second time period, and operating the one or more pumps to achieve the second value of the pressure differential across the building or campus during the second time period.
In some embodiments, generating the system curve includes determining whether the one or more pumps are arranged as primary pumps serving the central plant equipment or secondary pumps serving the building or campus and at least one of (i) using a first method for generating the system curve if the one or more pumps are arranged as primary pumps or (ii) using a second method for generating the system curve if the one or more pumps are arranged as secondary pumps.
In some embodiments, the first method for generating the system curve includes subtracting a pressure drop caused by the central plant equipment from a pressure differential across the primary pumps to determine the first values of the pressure differential across the building or campus.
In some embodiments, the second method for generating the system curve includes using a pressure differential across the secondary pumps as the first values of the pressure differential across the building or campus.
In some embodiments, the system curve defines the pressure differential across the building or campus as a function of the flow rate of the fluid provided by the one or more pumps to the building or campus and one or more trainable model parameters. Generating the system curve may include determining values of the one or more trainable model parameters.
In some embodiments, the system curve defines the pressure differential across the building or campus as a linear combination of a first term including a differential pressure offset and a second term including a scaling factor applied to a function of the flow rate. The trainable model parameters may include a first model parameter indicating the differential pressure offset and a second model parameter indicating the scaling factor.
In some embodiments, the trainable model parameters further include a third model parameter indicating a power applied to the flow rate in the second term of the system curve.
In some embodiments, operating the one or more pumps to achieve the second value of the pressure differential across the building or campus during the second time period includes determining whether the one or more pumps are arranged as primary pumps serving the central plant equipment or secondary pumps serving the building or campus and at least one of (i) using a first method for operating the one or more pumps if the one or more pumps are arranged as primary pumps or (ii) using a second method for operating the one or more pumps if the one or more pumps are arranged as secondary pumps.
In some embodiments, the first method for operating the one or more pumps includes adding a pressure drop caused by the central plant equipment to the pressure differential across the building or campus during the second time period to determine a pressure differential across the primary pumps and operating the one or more pumps to achieve the pressure differential across the primary pumps during the second time period.
In some embodiments, the second method for operating the one or more pumps includes using the pressure differential across the building or campus during the second time period as a pressure differential across the secondary pumps and operating the one or more pumps to achieve the pressure differential across the secondary pumps during the second time period.
Another implementation of the present disclosure is a method for operating one or more pumps in a central plant. The method includes obtaining first values of flow rate of a fluid provided by the one or more pumps to a building or campus and corresponding first values of a pressure differential across the building or campus during a first time period, generating a system curve for the building or campus that defines a relationship between the flow rate and the pressure differential using the first values of flow rate and pressure differential during the first time period, predicting a second value of the pressure differential across the building or campus during a second time period using the system curve and a second value of the flow rate during the second time period, and operating the one or more pumps to achieve the second value of the pressure differential across the building or campus during the second time period.
In some embodiments, generating the system curve includes determining whether the one or more pumps are arranged as primary pumps serving the central plant equipment or secondary pumps serving the building or campus and at least one of (i) using a first method for generating the system curve if the one or more pumps are arranged as primary pumps or (ii) using a second method for generating the system curve if the one or more pumps are arranged as secondary pumps.
In some embodiments, the first method for generating the system curve includes subtracting a pressure drop caused by the central plant equipment from a pressure differential across the primary pumps to determine the first values of the pressure differential across the building or campus.
In some embodiments, the second method for generating the system curve includes using a pressure differential across the secondary pumps as the first values of the pressure differential across the building or campus.
In some embodiments, the system curve defines the pressure differential across the building or campus as a function of the flow rate of the fluid provided by the one or more pumps to the building or campus and one or more trainable model parameters. Generating the system curve may include determining values of the one or more trainable model parameters.
In some embodiments, the system curve defines the pressure differential across the building or campus as a linear combination of a first term including a differential pressure offset and a second term including a scaling factor applied to a function of the flow rate. The trainable model parameters may include a first model parameter indicating the differential pressure offset and a second model parameter indicating the scaling factor.
In some embodiments, the trainable model parameters further include a third model parameter indicating a power applied to the flow rate in the second term of the system curve.
In some embodiments, operating the one or more pumps to achieve the second value of the pressure differential across the building or campus during the second time period includes determining whether the one or more pumps are arranged as primary pumps serving the central plant equipment or secondary pumps serving the building or campus and at least one of (i) using a first method for operating the one or more pumps if the one or more pumps are arranged as primary pumps or (ii) using a second method for operating the one or more pumps if the one or more pumps are arranged as secondary pumps.
In some embodiments, the first method for operating the one or more pumps includes adding a pressure drop caused by the central plant equipment to the pressure differential across the building or campus during the second time period to determine a pressure differential across the primary pumps and operating the one or more pumps to achieve the pressure differential across the primary pumps during the second time period.
In some embodiments, the second method for operating the one or more pumps includes using the pressure differential across the building or campus during the second time period as a pressure differential across the secondary pumps and operating the one or more pumps to achieve the pressure differential across the secondary pumps during the second time period.
Various objects, aspects, features, and advantages of the disclosure will become more apparent and better understood by referring to the detailed description taken in conjunction with the accompanying drawings, in which like reference characters identify corresponding elements throughout. In the drawings, like reference numbers generally indicate identical, functionally similar, and/or structurally similar elements.
Referring generally to the FIGURES, a central plant with an asset allocator and components thereof are shown, according to various exemplary embodiments. The asset allocator can be configured to manage energy assets such as central plant equipment, battery storage, and other types of equipment configured to serve the energy loads of a building. The asset allocator can determine an optimal distribution of heating, cooling, electricity, and energy loads across different subplants (i.e., equipment groups) of the central plant capable of producing that type of energy.
In some embodiments, the asset allocator is configured to control the distribution, production, storage, and usage of resources in the central plant. The asset allocator can be configured to minimize the economic cost (or maximize the economic value) of operating the central plant over a duration of an optimization period. The economic cost may be defined by a cost function J(x) that expresses economic cost as a function of the control decisions made by the asset allocator. The cost function J(x) may account for the cost of resources purchased from various sources, as well as the revenue generated by selling resources (e.g., to an energy grid) or participating in incentive programs.
The asset allocator can be configured to define various sources, subplants, storage, and sinks. These four categories of objects define the assets of a central plant and their interaction with the outside world. Sources may include commodity markets or other suppliers from which resources such as electricity, water, natural gas, and other resources can be purchased or obtained. Sinks may include the requested loads of a building or campus as well as other types of resource consumers. Subplants are the main assets of a central plant. Subplants can be configured to convert resource types, making it possible to balance requested loads from a building or campus using resources purchased from the sources. Storage can be configured to store energy or other types of resources for later use.
In some embodiments, the asset allocator performs an optimization process to determine an optimal set of control decisions for each time step within the optimization period. The control decisions may include, for example, an optimal amount of each resource to purchase from the sources, an optimal amount of each resource to produce or convert using the subplants, an optimal amount of each resource to store or remove from storage, an optimal amount of each resource to sell to resources purchasers, and/or an optimal amount of each resource to provide to other sinks. In some embodiments, the asset allocator is configured to optimally dispatch all campus energy assets (i.e., the central plant equipment) in order to meet the requested heating, cooling, and electrical loads of the campus for each time step within the optimization period. These and other features of the asset allocator are described in greater detail below.
Referring now to
The BMS that serves building 10 may include a HVAC system 100. HVAC system 100 can include a plurality of HVAC devices (e.g., heaters, chillers, air handling units, pumps, fans, thermal energy storage, etc.) configured to provide heating, cooling, ventilation, or other services for building 10. For example, HVAC system 100 is shown to include a waterside system 120 and an airside system 130. Waterside system 120 may provide a heated or chilled fluid to an air handling unit of airside system 130. Airside system 130 may use the heated or chilled fluid to heat or cool an airflow provided to building 10. In some embodiments, waterside system 120 can be replaced with or supplemented by a central plant or central energy facility (described in greater detail with reference to
HVAC system 100 is shown to include a chiller 102, a boiler 104, and a rooftop air handling unit (AHU) 106. Waterside system 120 may use boiler 104 and chiller 102 to heat or cool a working fluid (e.g., water, glycol, etc.) and may circulate the working fluid to AHU 106. In various embodiments, the HVAC devices of waterside system 120 can be located in or around building 10 (as shown in
AHU 106 may place the working fluid in a heat exchange relationship with an airflow passing through AHU 106 (e.g., via one or more stages of cooling coils and/or heating coils). The airflow can be, for example, outside air, return air from within building 10, or a combination of both. AHU 106 may transfer heat between the airflow and the working fluid to provide heating or cooling for the airflow. For example, AHU 106 can include one or more fans or blowers configured to pass the airflow over or through a heat exchanger containing the working fluid. The working fluid may then return to chiller 102 or boiler 104 via piping 110.
Airside system 130 may deliver the airflow supplied by AHU 106 (i.e., the supply airflow) to building 10 via air supply ducts 112 and may provide return air from building 10 to AHU 106 via air return ducts 114. In some embodiments, airside system 130 includes multiple variable air volume (VAV) units 116. For example, airside system 130 is shown to include a separate VAV unit 116 on each floor or zone of building 10. VAV units 116 can include dampers or other flow control elements that can be operated to control an amount of the supply airflow provided to individual zones of building 10. In other embodiments, airside system 130 delivers the supply airflow into one or more zones of building 10 (e.g., via supply ducts 112) without using intermediate VAV units 116 or other flow control elements. AHU 106 can include various sensors (e.g., temperature sensors, pressure sensors, etc.) configured to measure attributes of the supply airflow. AHU 106 may receive input from sensors located within AHU 106 and/or within the building zone and may adjust the flow rate, temperature, or other attributes of the supply airflow through AHU 106 to achieve setpoint conditions for the building zone.
Referring now to
Central plant 200 is shown to include a plurality of subplants 202-208. Subplants 202-208 can be configured to convert energy or resource types (e.g., water, natural gas, electricity, etc.). For example, subplants 202-208 are shown to include a heater subplant 202, a heat recovery chiller subplant 204, a chiller subplant 206, and a cooling tower subplant 208. In some embodiments, subplants 202-208 consume resources purchased from utilities to serve the energy loads (e.g., hot water, cold water, electricity, etc.) of a building or campus. For example, heater subplant 202 can be configured to heat water in a hot water loop 214 that circulates the hot water between heater subplant 202 and building 10. Similarly, chiller subplant 206 can be configured to chill water in a cold water loop 216 that circulates the cold water between chiller subplant 206 building 10.
Heat recovery chiller subplant 204 can be configured to transfer heat from cold water loop 216 to hot water loop 214 to provide additional heating for the hot water and additional cooling for the cold water. Condenser water loop 218 may absorb heat from the cold water in chiller subplant 206 and reject the absorbed heat in cooling tower subplant 208 or transfer the absorbed heat to hot water loop 214. In various embodiments, central plant 200 can include an electricity subplant (e.g., one or more electric generators) configured to generate electricity or any other type of subplant configured to convert energy or resource types.
Hot water loop 214 and cold water loop 216 may deliver the heated and/or chilled water to air handlers located on the rooftop of building 10 (e.g., AHU 106) or to individual floors or zones of building 10 (e.g., VAV units 116). The air handlers push air past heat exchangers (e.g., heating coils or cooling coils) through which the water flows to provide heating or cooling for the air. The heated or cooled air can be delivered to individual zones of building 10 to serve thermal energy loads of building 10. The water then returns to subplants 202-208 to receive further heating or cooling.
Although subplants 202-208 are shown and described as heating and cooling water for circulation to a building, it is understood that any other type of working fluid (e.g., glycol, CO2, etc.) can be used in place of or in addition to water to serve thermal energy loads. In other embodiments, subplants 202-208 may provide heating and/or cooling directly to the building or campus without requiring an intermediate heat transfer fluid. These and other variations to central plant 200 are within the teachings of the present disclosure.
Each of subplants 202-208 can include a variety of equipment configured to facilitate the functions of the subplant. For example, heater subplant 202 is shown to include a plurality of heating elements 220 (e.g., boilers, electric heaters, etc.) configured to add heat to the hot water in hot water loop 214. Heater subplant 202 is also shown to include several pumps 222 and 224 configured to circulate the hot water in hot water loop 214 and to control the flow rate of the hot water through individual heating elements 220. Chiller subplant 206 is shown to include a plurality of chillers 232 configured to remove heat from the cold water in cold water loop 216. Chiller subplant 206 is also shown to include several pumps 234 and 236 configured to circulate the cold water in cold water loop 216 and to control the flow rate of the cold water through individual chillers 232.
Heat recovery chiller subplant 204 is shown to include a plurality of heat recovery heat exchangers 226 (e.g., refrigeration circuits) configured to transfer heat from cold water loop 216 to hot water loop 214. Heat recovery chiller subplant 204 is also shown to include several pumps 228 and 230 configured to circulate the hot water and/or cold water through heat recovery heat exchangers 226 and to control the flow rate of the water through individual heat recovery heat exchangers 226. Cooling tower subplant 208 is shown to include a plurality of cooling towers 238 configured to remove heat from the condenser water in condenser water loop 218. Cooling tower subplant 208 is also shown to include several pumps 240 configured to circulate the condenser water in condenser water loop 218 and to control the flow rate of the condenser water through individual cooling towers 238.
In some embodiments, one or more of the pumps in central plant 200 (e.g., pumps 222, 224, 228, 230, 234, 236, and/or 240) or pipelines in central plant 200 include an isolation valve associated therewith. Isolation valves can be integrated with the pumps or positioned upstream or downstream of the pumps to control the fluid flows in central plant 200. In various embodiments, central plant 200 can include more, fewer, or different types of devices and/or subplants based on the particular configuration of central plant 200 and the types of loads served by central plant 200.
Still referring to
Similarly, cold TES 212 can include one or more cold water storage tanks 244 configured to store the cold water generated by chiller subplant 206 or heat recovery chiller subplant 204. Cold TES 212 may also include one or more pumps or valves configured to control the flow rate of the cold water into or out of cold TES tanks 244. In some embodiments, central plant 200 includes electrical energy storage (e.g., one or more batteries) or any other type of device configured to store resources. The stored resources can be purchased from utilities, generated by central plant 200, or otherwise obtained from any source.
Referring now to
Airside system 300 is shown to include an economizer-type air handling unit (AHU) 302. Economizer-type AHUs vary the amount of outside air and return air used by the air handling unit for heating or cooling. For example, AHU 302 may receive return air 304 from building zone 306 via return air duct 308 and may deliver supply air 310 to building zone 306 via supply air duct 312. In some embodiments, AHU 302 is a rooftop unit located on the roof of building 10 (e.g., AHU 106 as shown in
Each of dampers 316-320 can be operated by an actuator. For example, exhaust air damper 316 can be operated by actuator 324, mixing damper 318 can be operated by actuator 326, and outside air damper 320 can be operated by actuator 328. Actuators 324-328 may communicate with an AHU controller 330 via a communications link 332. Actuators 324-328 may receive control signals from AHU controller 330 and may provide feedback signals to AHU controller 330. Feedback signals can include, for example, an indication of a current actuator or damper position, an amount of torque or force exerted by the actuator, diagnostic information (e.g., results of diagnostic tests performed by actuators 324-328), status information, commissioning information, configuration settings, calibration data, and/or other types of information or data that can be collected, stored, or used by actuators 324-328. AHU controller 330 can be an economizer controller configured to use one or more control algorithms (e.g., state-based algorithms, extremum seeking control (ESC) algorithms, proportional-integral (PI) control algorithms, proportional-integral-derivative (PID) control algorithms, model predictive control (MPC) algorithms, feedback control algorithms, etc.) to control actuators 324-328.
Still referring to
Cooling coil 334 may receive a chilled fluid from central plant 200 (e.g., from cold water loop 216) via piping 342 and may return the chilled fluid to central plant 200 via piping 344. Valve 346 can be positioned along piping 342 or piping 344 to control a flow rate of the chilled fluid through cooling coil 334. In some embodiments, cooling coil 334 includes multiple stages of cooling coils that can be independently activated and deactivated (e.g., by AHU controller 330, by BMS controller 366, etc.) to modulate an amount of cooling applied to supply air 310.
Heating coil 336 may receive a heated fluid from central plant 200 (e.g., from hot water loop 214) via piping 348 and may return the heated fluid to central plant 200 via piping 350. Valve 352 can be positioned along piping 348 or piping 350 to control a flow rate of the heated fluid through heating coil 336. In some embodiments, heating coil 336 includes multiple stages of heating coils that can be independently activated and deactivated (e.g., by AHU controller 330, by BMS controller 366, etc.) to modulate an amount of heating applied to supply air 310.
Each of valves 346 and 352 can be controlled by an actuator. For example, valve 346 can be controlled by actuator 354 and valve 352 can be controlled by actuator 356. Actuators 354-356 may communicate with AHU controller 330 via communications links 358-360. Actuators 354-356 may receive control signals from AHU controller 330 and may provide feedback signals to controller 330. In some embodiments, AHU controller 330 receives a measurement of the supply air temperature from a temperature sensor 362 positioned in supply air duct 312 (e.g., downstream of cooling coil 334 and/or heating coil 336). AHU controller 330 may also receive a measurement of the temperature of building zone 306 from a temperature sensor 364 located in building zone 306.
In some embodiments, AHU controller 330 operates valves 346 and 352 via actuators 354-356 to modulate an amount of heating or cooling provided to supply air 310 (e.g., to achieve a setpoint temperature for supply air 310 or to maintain the temperature of supply air 310 within a setpoint temperature range). The positions of valves 346 and 352 affect the amount of heating or cooling provided to supply air 310 by cooling coil 334 or heating coil 336 and may correlate with the amount of energy consumed to achieve a desired supply air temperature. AHU 330 may control the temperature of supply air 310 and/or building zone 306 by activating or deactivating coils 334-336, adjusting a speed of fan 338, or a combination of both.
Still referring to
In some embodiments, AHU controller 330 receives information from BMS controller 366 (e.g., commands, setpoints, operating boundaries, etc.) and provides information to BMS controller 366 (e.g., temperature measurements, valve or actuator positions, operating statuses, diagnostics, etc.). For example, AHU controller 330 may provide BMS controller 366 with temperature measurements from temperature sensors 362-364, equipment on/off states, equipment operating capacities, and/or any other information that can be used by BMS controller 366 to monitor or control a variable state or condition within building zone 306.
Client device 368 can include one or more human-machine interfaces or client interfaces (e.g., graphical user interfaces, reporting interfaces, text-based computer interfaces, client-facing web services, web servers that provide pages to web clients, etc.) for controlling, viewing, or otherwise interacting with HVAC system 100, its subsystems, and/or devices. Client device 368 can be a computer workstation, a client terminal, a remote or local interface, or any other type of user interface device. Client device 368 can be a stationary terminal or a mobile device. For example, client device 368 can be a desktop computer, a computer server with a user interface, a laptop computer, a tablet, a smartphone, a PDA, or any other type of mobile or non-mobile device. Client device 368 may communicate with BMS controller 366 and/or AHU controller 330 via communications link 372.
Referring now to
Asset allocation system 400 is shown to include sources 410, subplants 420, storage 430, and sinks 440. These four categories of objects define the assets of a central plant and their interaction with the outside world. Sources 410 may include commodity markets or other suppliers from which resources such as electricity, water, natural gas, and other resources can be purchased or obtained. Sources 410 may provide resources that can be used by asset allocation system 400 to satisfy the demand of a building or campus. For example, sources 410 are shown to include an electric utility 411, a water utility 412, a natural gas utility 413, a photovoltaic (PV) field (e.g., a collection of solar panels), an energy market 415, and source M 416, where M is the total number of sources 410. Resources purchased from sources 410 can be used by subplants 420 to produce generated resources (e.g., hot water, cold water, electricity, steam, etc.), stored in storage 430 for later use, or provided directly to sinks 440.
Subplants 420 are shown to include a heater subplant 421, a chiller subplant 422, a heat recovery chiller subplant 423, a steam subplant 424, an electricity subplant 425, and subplant N, where N is the total number of subplants 420. In some embodiments, subplants 420 include some or all of the subplants of central plant 200, as described with reference to
Subplants 420 can be configured to convert resource types, making it possible to balance requested loads from the building or campus using resources purchased from sources 410. For example, heater subplant 421 may be configured to generate hot thermal energy (e.g., hot water) by heating water using electricity or natural gas. Chiller subplant 422 may be configured to generate cold thermal energy (e.g., cold water) by chilling water using electricity. Heat recovery chiller subplant 423 may be configured to generate hot thermal energy and cold thermal energy by removing heat from one water supply and adding the heat to another water supply. Steam subplant 424 may be configured to generate steam by boiling water using electricity or natural gas. Electricity subplant 425 may be configured to generate electricity using mechanical generators (e.g., a steam turbine, a gas-powered generator, etc.) or other types of electricity-generating equipment (e.g., photovoltaic equipment, hydroelectric equipment, etc.).
The input resources used by subplants 420 may be provided by sources 410, retrieved from storage 430, and/or generated by other subplants 420. For example, steam subplant 424 may produce steam as an output resource. Electricity subplant 425 may include a steam turbine that uses the steam generated by steam subplant 424 as an input resource to generate electricity. The output resources produced by subplants 420 may be stored in storage 430, provided to sinks 440, and/or used by other subplants 420. For example, the electricity generated by electricity subplant 425 may be stored in electrical energy storage 433, used by chiller subplant 422 to generate cold thermal energy, used to satisfy the electric load 445 of a building, or sold to resource purchasers 441.
Storage 430 can be configured to store energy or other types of resources for later use. Each type of storage within storage 430 may be configured to store a different type of resource. For example, storage 430 is shown to include hot thermal energy storage 431 (e.g., one or more hot water storage tanks), cold thermal energy storage 432 (e.g., one or more cold thermal energy storage tanks), electrical energy storage 433 (e.g., one or more batteries), and resource type P storage 434, where P is the total number of storage 430. In some embodiments, storage 430 include some or all of the storage of central plant 200, as described with reference to
In some embodiments, storage 430 is used by asset allocation system 400 to take advantage of price-based demand response (PBDR) programs. PBDR programs encourage consumers to reduce consumption when generation, transmission, and distribution costs are high. PBDR programs are typically implemented (e.g., by sources 410) in the form of energy prices that vary as a function of time. For example, some utilities may increase the price per unit of electricity during peak usage hours to encourage customers to reduce electricity consumption during peak times. Some utilities also charge consumers a separate demand charge based on the maximum rate of electricity consumption at any time during a predetermined demand charge period.
Advantageously, storing energy and other types of resources in storage 430 allows for the resources to be purchased at times when the resources are relatively less expensive (e.g., during non-peak electricity hours) and stored for use at times when the resources are relatively more expensive (e.g., during peak electricity hours). Storing resources in storage 430 also allows the resource demand of the building or campus to be shifted in time. For example, resources can be purchased from sources 410 at times when the demand for heating or cooling is low and immediately converted into hot or cold thermal energy by subplants 420. The thermal energy can be stored in storage 430 and retrieved at times when the demand for heating or cooling is high. This allows asset allocation system 400 to smooth the resource demand of the building or campus and reduces the maximum required capacity of subplants 420. Smoothing the demand also asset allocation system 400 to reduce the peak electricity consumption, which results in a lower demand charge.
In some embodiments, storage 430 is used by asset allocation system 400 to take advantage of incentive-based demand response (IBDR) programs. IBDR programs provide incentives to customers who have the capability to store energy, generate energy, or curtail energy usage upon request. Incentives are typically provided in the form of monetary revenue paid by sources 410 or by an independent service operator (ISO). IBDR programs supplement traditional utility-owned generation, transmission, and distribution assets with additional options for modifying demand load curves. For example, stored energy can be sold to resource purchasers 441 or an energy grid 442 to supplement the energy generated by sources 410. In some instances, incentives for participating in an IBDR program vary based on how quickly a system can respond to a request to change power output/consumption. Faster responses may be compensated at a higher level. Advantageously, electrical energy storage 433 allows system 400 to quickly respond to a request for electric power by rapidly discharging stored electrical energy to energy grid 442.
Sinks 440 may include the requested loads of a building or campus as well as other types of resource consumers. For example, sinks 440 are shown to include resource purchasers 441, an energy grid 442, a hot water load 443, a cold water load 444, an electric load 445, and sink Q, where Q is the total number of sinks 440. A building may consume various resources including, for example, hot thermal energy (e.g., hot water), cold thermal energy (e.g., cold water), and/or electrical energy. In some embodiments, the resources are consumed by equipment or subsystems within the building (e.g., HVAC equipment, lighting, computers and other electronics, etc.). The consumption of each sink 440 over the optimization period can be supplied as an input to asset allocation system 400 or predicted by asset allocation system 400. Sinks 440 can receive resources directly from sources 410, from subplants 420, and/or from storage 430.
Still referring to
In some embodiments, asset allocator 402 is configured to optimally dispatch all campus energy assets in order to meet the requested heating, cooling, and electrical loads of the campus for each time step within an optimization horizon or optimization period of duration h. Instead of focusing on only the typical HVAC energy loads, the concept is extended to the concept of resource. Throughout this disclosure, the term “resource” is used to describe any type of commodity purchased from sources 410, used or produced by subplants 420, stored or discharged by storage 430, or consumed by sinks 440. For example, water may be considered a resource that is consumed by chillers, heaters, or cooling towers during operation. This general concept of a resource can be extended to chemical processing plants where one of the resources is the product that is being produced by the chemical processing plat.
Asset allocator 402 can be configured to operate the equipment of asset allocation system 400 to ensure that a resource balance is maintained at each time step of the optimization period. This resource balance is shown in the following equation:
where the sum is taken over all producers and consumers of a given resource (i.e., all of sources 410, subplants 420, storage 430, and sinks 440) and time is the time index. Each time element represents a period of time during which the resource productions, requests, purchases, etc. are assumed constant. Asset allocator 402 may ensure that this equation is satisfied for all resources regardless of whether that resource is required by the building or campus. For example, some of the resources produced by subplants 420 may be intermediate resources that function only as inputs to other subplants 420.
In some embodiments, the resources balanced by asset allocator 402 include multiple resources of the same type (e.g., multiple chilled water resources, multiple electricity resources, etc.). Defining multiple resources of the same type may allow asset allocator 402 to satisfy the resource balance given the physical constraints and connections of the central plant equipment. For example, suppose a central plant has multiple chillers and multiple cold water storage tanks, with each chiller physically connected to a different cold water storage tank (i.e., chiller A is connected to cold water storage tank A, chiller B is connected to cold water storage tank B, etc.). Given that only one chiller can supply cold water to each cold water storage tank, a different cold water resource can be defined for the output of each chiller. This allows asset allocator 402 to ensure that the resource balance is satisfied for each cold water resource without attempting to allocate resources in a way that is physically impossible (e.g., storing the output of chiller A in cold water storage tank B, etc.).
Asset allocator 402 may be configured to minimize the economic cost (or maximize the economic value) of operating asset allocation system 400 over the duration of the optimization period. The economic cost may be defined by a cost function J(x) that expresses economic cost as a function of the control decisions made by asset allocator 402. The cost function J(x) may account for the cost of resources purchased from sources 410, as well as the revenue generated by selling resources to resource purchasers 441 or energy grid 442 or participating in incentive programs. The cost optimization performed by asset allocator 402 can be expressed as:
where J(x) is defined as follows:
The first term in the cost function J(x) represents the total cost of all resources purchased over the optimization horizon. Resources can include, for example, water, electricity, natural gas, or other types of resources purchased from a utility or other source 410. The second term in the cost function J(x) represents the total revenue generated by participating in incentive programs (e.g., IBDR programs) over the optimization horizon. The revenue may be based on the amount of power reserved for participating in the incentive programs. Accordingly, the total cost function represents the total cost of resources purchased minus any revenue generated from participating in incentive programs.
Each of subplants 420 and storage 430 may include equipment that can be controlled by asset allocator 402 to optimize the performance of asset allocation system 400. Subplant equipment may include, for example, heating devices, chillers, heat recovery heat exchangers, cooling towers, energy storage devices, pumps, valves, and/or other devices of subplants 420 and storage 430. Individual devices of subplants 420 can be turned on or off to adjust the resource production of each subplant 420. In some embodiments, individual devices of subplants 420 can be operated at variable capacities (e.g., operating a chiller at 10% capacity or 60% capacity) according to an operating setpoint received from asset allocator 402. Asset allocator 402 can control the equipment of subplants 420 and storage 430 to adjust the amount of each resource purchased, consumed, and/or produced by system 400.
In some embodiments, asset allocator 402 minimizes the cost function while participating in PBDR programs, IBDR programs, or simultaneously in both PBDR and IBDR programs. For the IBDR programs, asset allocator 402 may use statistical estimates of past clearing prices, mileage ratios, and event probabilities to determine the revenue generation potential of selling stored energy to resource purchasers 441 or energy grid 442. For the PBDR programs, asset allocator 402 may use predictions of ambient conditions, facility thermal loads, and thermodynamic models of installed equipment to estimate the resource consumption of subplants 420. Asset allocator 402 may use predictions of the resource consumption to monetize the costs of running the equipment.
Asset allocator 402 may automatically determine (e.g., without human intervention) a combination of PBDR and/or IBDR programs in which to participate over the optimization horizon in order to maximize economic value. For example, asset allocator 402 may consider the revenue generation potential of IBDR programs, the cost reduction potential of PBDR programs, and the equipment maintenance/replacement costs that would result from participating in various combinations of the IBDR programs and PBDR programs. Asset allocator 402 may weigh the benefits of participation against the costs of participation to determine an optimal combination of programs in which to participate. Advantageously, this allows asset allocator 402 to determine an optimal set of control decisions that maximize the overall value of operating asset allocation system 400.
In some embodiments, asset allocator 402 optimizes the cost function J(x) subject to the following constraint, which guarantees the balance between resources purchased, produced, discharged, consumed, and requested over the optimization horizon:
where xinternal,time includes internal decision variables (e.g., load allocated to each component of asset allocation system 400), xexternal,time includes external decision variables (e.g., condenser water return temperature or other shared variables across subplants 420), and vuncontrolled,time includes uncontrolled variables (e.g., weather conditions).
The first term in the previous equation represents the total amount of each resource (e.g., electricity, water, natural gas, etc.) purchased from each source 410 over the optimization horizon. The second and third terms represent the total production and consumption of each resource by subplants 420 over the optimization horizon. The fourth term represents the total amount of each resource discharged from storage 430 over the optimization horizon. Positive values indicate that the resource is discharged from storage 430, whereas negative values indicate that the resource is charged or stored. The fifth term represents the total amount of each resource requested by sinks 440 over the optimization horizon. Accordingly, this constraint ensures that the total amount of each resource purchased, produced, or discharged from storage 430 is equal to the amount of each resource consumed, stored, or provided to sinks 440.
In some embodiments, additional constraints exist on the regions in which subplants 420 can operate. Examples of such additional constraints include the acceptable space (i.e., the feasible region) for the decision variables given the uncontrolled conditions, the maximum amount of a resource that can be purchased from a given source 410, and any number of plant-specific constraints that result from the mechanical design of the plant. These additional constraints can be generated and imposed by operational domain module 904 (described in greater detail with reference to
Asset allocator 402 may include a variety of features that enable the application of asset allocator 402 to nearly any central plant, central energy facility, combined heating and cooling facility, or combined heat and power facility. These features include broadly applicable definitions for subplants 420, sinks 440, storage 430, and sources 410; multiples of the same type of subplant 420 or sink 440; subplant resource connections that describe which subplants 420 can send resources to which sinks 440 and at what efficiency; subplant minimum turndown into the asset allocation optimization; treating electrical energy as any other resource that must be balanced; constraints that can be commissioned during runtime; different levels of accuracy at different points in the horizon; setpoints (or other decisions) that are shared between multiple subplants included in the decision vector; disjoint subplant operation regions; incentive based electrical energy programs; and high level airside models. Incorporation of these features may allow asset allocator 402 to support a majority of the central energy facilities that will be seen in the future. Additionally, it will be possible to rapidly adapt to the inclusion of new subplant types. Some of these features are described in greater detail below.
Broadly applicable definitions for subplants 420, sinks 440, storage 430, and sources 410 allow each of these components to be described by the mapping from decision variables to resources consume and resources produced. Resources and other components of system 400 do not need to be “typed,” but rather can be defined generally. The mapping from decision variables to resource consumption and production can change based on extrinsic conditions. Asset allocator 420 can solve the optimization problem by simply balancing resource use and can be configured to solve in terms of consumed resource 1, consumed resource 2, produced resource 1, etc., rather than electricity consumed, water consumed, and chilled water produced. Such an interface at the high level allows for the mappings to be injected into asset allocation system 400 rather than needing them hard coded. Of course, “typed” resources and other components of system 400 can still exist in order to generate the mapping at run time, based on equipment out of service.
Incorporating multiple subplants 420 or sinks 440 of the same type allows for modeling the interconnections between subplants 420, sources 410, storage 430, and sinks 440. This type of modeling describes which subplants 420 can use resource from which sources 410 and which subplants 420 can send resources to which sinks 440. This can be visualized as a resource connection matrix (i.e., a directed graph) between the subplants 420, sources 410, sinks 440, and storage 430. Extending this concept, it is possible to include costs for delivering the resource along a connection and also, efficiencies of the transmission (e.g., amount of energy that makes it to the other side of the connection).
In some instances, constraints arise due to mechanical problems after an energy facility has been built. Accordingly, these constraints are site specific and are often not incorporated into the main code for any of subplants 420 or the high level problem itself. Commissioned constraints allow for such constraints to be added without software updates during the commissioning phase of the project. Furthermore, if these additional constraints are known prior to the plant build, they can be added to the design tool run. This would allow the user to determine the cost of making certain design decisions.
Incentive programs often require the reservation of one or more assets for a period of time. In traditional systems, these assets are typically turned over to alternative control, different than the typical resource price based optimization. Advantageously, asset allocator 402 can be configured to add revenue to the cost function per amount of resource reserved. Asset allocator 402 can then make the reserved portion of the resource unavailable for typical price based cost optimization. For example, asset allocator 402 can reserve a portion of a battery asset for frequency response. In this case, the battery can be used to move the load or shave the peak demand, but can also be reserved to participate in the frequency response program.
Referring now to
In some embodiments, BMS 506 is the same or similar to the BMS described with reference to
BMS 506 may receive control signals from central plant controller 500 specifying on/off states, charge/discharge rates, and/or setpoints for the subplant equipment. BMS 506 may control the equipment (e.g., via actuators, power relays, etc.) in accordance with the control signals provided by central plant controller 500. For example, BMS 506 may operate the equipment using closed loop control to achieve the setpoints specified by central plant controller 500. In various embodiments, BMS 506 may be combined with central plant controller 500 or may be part of a separate building management system. According to an exemplary embodiment, BMS 506 is a METASYS® brand building management system, as sold by Johnson Controls, Inc.
Central plant controller 500 may monitor the status of the controlled building using information received from BMS 506. Central plant controller 500 may be configured to predict the thermal energy loads (e.g., heating loads, cooling loads, etc.) of the building for plurality of time steps in an optimization period (e.g., using weather forecasts from a weather service 504). Central plant controller 500 may also predict the revenue generation potential of incentive based demand response (IBDR) programs using an incentive event history (e.g., past clearing prices, mileage ratios, event probabilities, etc.) from incentive programs 502. Central plant controller 500 may generate control decisions that optimize the economic value of operating central plant 200 over the duration of the optimization period subject to constraints on the optimization process (e.g., energy balance constraints, load satisfaction constraints, etc.). The optimization process performed by central plant controller 500 is described in greater detail below.
In some embodiments, central plant controller 500 is integrated within a single computer (e.g., one server, one housing, etc.). In various other exemplary embodiments, central plant controller 500 can be distributed across multiple servers or computers (e.g., that can exist in distributed locations). In another exemplary embodiment, central plant controller 500 may integrated with a smart building manager that manages multiple building systems and/or combined with BMS 506.
Central plant controller 500 is shown to include a communications interface 536 and a processing circuit 507. Communications interface 536 may include wired or wireless interfaces (e.g., jacks, antennas, transmitters, receivers, transceivers, wire terminals, etc.) for conducting data communications with various systems, devices, or networks. For example, communications interface 536 may include an Ethernet card and port for sending and receiving data via an Ethernet-based communications network and/or a WiFi transceiver for communicating via a wireless communications network. Communications interface 536 may be configured to communicate via local area networks or wide area networks (e.g., the Internet, a building WAN, etc.) and may use a variety of communications protocols (e.g., BACnet, IP, LON, etc.).
Communications interface 536 may be a network interface configured to facilitate electronic data communications between central plant controller 500 and various external systems or devices (e.g., BMS 506, subplants 420, storage 430, sources 410, etc.). For example, central plant controller 500 may receive information from BMS 506 indicating one or more measured states of the controlled building (e.g., temperature, humidity, electric loads, etc.) and one or more states of subplants 420 and/or storage 430 (e.g., equipment status, power consumption, equipment availability, etc.). Communications interface 536 may receive inputs from BMS 506, subplants 420, and/or storage 430 and may provide operating parameters (e.g., on/off decisions, setpoints, etc.) to subplants 420 and storage 430 via BMS 506. The operating parameters may cause subplants 420 and storage 430 to activate, deactivate, or adjust a setpoint for various devices thereof.
Still referring to
Memory 510 may include one or more devices (e.g., memory units, memory devices, storage devices, etc.) for storing data and/or computer code for completing and/or facilitating the various processes described in the present disclosure. Memory 510 may include random access memory (RAM), read-only memory (ROM), hard drive storage, temporary storage, non-volatile memory, flash memory, optical memory, or any other suitable memory for storing software objects and/or computer instructions. Memory 510 may include database components, object code components, script components, or any other type of information structure for supporting the various activities and information structures described in the present disclosure. Memory 510 may be communicably connected to processor 508 via processing circuit 507 and may include computer code for executing (e.g., by processor 508) one or more processes described herein.
Memory 510 is shown to include a building status monitor 524. Central plant controller 500 may receive data regarding the overall building or building space to be heated or cooled by system 400 via building status monitor 524. In an exemplary embodiment, building status monitor 524 may include a graphical user interface component configured to provide graphical user interfaces to a user for selecting building requirements (e.g., overall temperature parameters, selecting schedules for the building, selecting different temperature levels for different building zones, etc.).
Central plant controller 500 may determine on/off configurations and operating setpoints to satisfy the building requirements received from building status monitor 524. In some embodiments, building status monitor 524 receives, collects, stores, and/or transmits cooling load requirements, building temperature setpoints, occupancy data, weather data, energy data, schedule data, and other building parameters. In some embodiments, building status monitor 524 stores data regarding energy costs, such as pricing information available from sources 410 (energy charge, demand charge, etc.).
Still referring to ) of the building or campus for each time step k (e.g., k=1 . . . n) of an optimization period. Load/rate predictor 522 is shown receiving weather forecasts from a weather service 504. In some embodiments, load/rate predictor 522 predicts the thermal energy loads
as a function of the weather forecasts. In some embodiments, load/rate predictor 522 uses feedback from BMS 506 to predict loads
. Feedback from BMS 506 may include various types of sensory inputs (e.g., temperature, flow, humidity, enthalpy, etc.) or other data relating to the controlled building (e.g., inputs from a HVAC system, a lighting control system, a security system, a water system, etc.).
In some embodiments, load/rate predictor 522 receives a measured electric load and/or previous measured load data from BMS 506 (e.g., via building status monitor 524). Load/rate predictor 522 may predict loads as a function of a given weather forecast ({circumflex over (ϕ)}w), a day type (day), the time of day (t), and previous measured load data (Yk-1). Such a relationship is expressed in the following equation:
=f({circumflex over (ϕ)}w,day,t|Yk-1)
In some embodiments, load/rate predictor 522 uses a deterministic plus stochastic model trained from historical load data to predict loads . Load/rate predictor 522 may use any of a variety of prediction methods to predict loads
(e.g., linear regression for the deterministic portion and an AR model for the stochastic portion). Load/rate predictor 522 may predict one or more different types of loads for the building or campus. For example, load/rate predictor 522 may predict a hot water load
Hot,k and a cold water load
Cold,k for each time step k within the prediction window. In some embodiments, load/rate predictor 522 makes load/rate predictions using the techniques described in U.S. patent application Ser. No. 14/717,593.
Load/rate predictor 522 is shown receiving utility rates from sources 410. Utility rates may indicate a cost or price per unit of a resource (e.g., electricity, natural gas, water, etc.) provided by sources 410 at each time step k in the prediction window. In some embodiments, the utility rates are time-variable rates. For example, the price of electricity may be higher at certain times of day or days of the week (e.g., during high demand periods) and lower at other times of day or days of the week (e.g., during low demand periods). The utility rates may define various time periods and a cost per unit of a resource during each time period. Utility rates may be actual rates received from sources 410 or predicted utility rates estimated by load/rate predictor 522.
In some embodiments, the utility rates include demand charges for one or more resources provided by sources 410. A demand charge may define a separate cost imposed by sources 410 based on the maximum usage of a particular resource (e.g., maximum energy consumption) during a demand charge period. The utility rates may define various demand charge periods and one or more demand charges associated with each demand charge period. In some instances, demand charge periods may overlap partially or completely with each other and/or with the prediction window. Advantageously, demand response optimizer 530 may be configured to account for demand charges in the high level optimization process performed by asset allocator 402. Sources 410 may be defined by time-variable (e.g., hourly) prices, a maximum service level (e.g., a maximum rate of consumption allowed by the physical infrastructure or by contract) and, in the case of electricity, a demand charge or a charge for the peak rate of consumption within a certain period. Load/rate predictor 522 may store the predicted loads and the utility rates in memory 510 and/or provide the predicted loads
and the utility rates to demand response optimizer 530.
Still referring to
Incentive estimator 520 is shown providing incentive predictions to demand response optimizer 530. The incentive predictions may include the estimated IBDR probabilities, estimated participation requirements, an estimated amount of revenue from participating in the estimated IBDR events, and/or any other attributes of the predicted IBDR events. Demand response optimizer 530 may use the incentive predictions along with the predicted loads and utility rates from load/rate predictor 522 to determine an optimal set of control decisions for each time step within the optimization period.
Still referring to
Low level optimizer 534 may control an inner (e.g., equipment level) loop of the cascaded optimization. Low level optimizer 534 may determine how to best run each subplant at the load setpoint determined by asset allocator 402. For example, low level optimizer 534 may determine on/off states and/or operating setpoints for various devices of the subplant equipment in order to optimize (e.g., minimize) the energy consumption of each subplant while meeting the resource allocation setpoint for the subplant. In some embodiments, low level optimizer 534 receives actual incentive events from incentive programs 502. Low level optimizer 534 may determine whether to participate in the incentive events based on the resource allocation set by asset allocator 402. For example, if insufficient resources have been allocated to a particular IBDR program by asset allocator 402 or if the allocated resources have already been used, low level optimizer 534 may determine that asset allocation system 400 will not participate in the IBDR program and may ignore the IBDR event. However, if the required resources have been allocated to the IBDR program and are available in storage 430, low level optimizer 534 may determine that system 400 will participate in the IBDR program in response to the IBDR event. The cascaded optimization process performed by demand response optimizer 530 is described in greater detail in U.S. patent application Ser. No. 15/247,885.
In some embodiments, low level optimizer 534 generates and provides subplant curves to asset allocator 402. Each subplant curve may indicate an amount of resource consumption by a particular subplant (e.g., electricity use measured in kW, water use measured in L/s, etc.) as a function of the subplant load. In some embodiments, low level optimizer 534 generates the subplant curves by running the low level optimization process for various combinations of subplant loads and weather conditions to generate multiple data points. Low level optimizer 534 may fit a curve to the data points to generate the subplant curves. In other embodiments, low level optimizer 534 provides the data points asset allocator 402 and asset allocator 402 generates the subplant curves using the data points. Asset allocator 402 may store the subplant curves in memory for use in the high level (i.e., asset allocation) optimization process.
In some embodiments, the subplant curves are generated by combining efficiency curves for individual devices of a subplant. A device efficiency curve may indicate the amount of resource consumption by the device as a function of load. The device efficiency curves may be provided by a device manufacturer or generated using experimental data. In some embodiments, the device efficiency curves are based on an initial efficiency curve provided by a device manufacturer and updated using experimental data. The device efficiency curves may be stored in equipment models 518. For some devices, the device efficiency curves may indicate that resource consumption is a U-shaped function of load. Accordingly, when multiple device efficiency curves are combined into a subplant curve for the entire subplant, the resultant subplant curve may be a wavy curve. The waves are caused by a single device loading up before it is more efficient to turn on another device to satisfy the subplant load.
Still referring to
Data and processing results from demand response optimizer 530, subplant control module 528, or other modules of central plant controller 500 may be accessed by (or pushed to) monitoring and reporting applications 526. Monitoring and reporting applications 526 may be configured to generate real time “system health” dashboards that can be viewed and navigated by a user (e.g., a system engineer). For example, monitoring and reporting applications 526 may include a web-based monitoring application with several graphical user interface (GUI) elements (e.g., widgets, dashboard controls, windows, etc.) for displaying key performance indicators (KPI) or other information to users of a GUI. In addition, the GUI elements may summarize relative energy use and intensity across energy storage systems in different buildings (real or modeled), different campuses, or the like. Other GUI elements or reports may be generated and shown based on available data that allow users to assess performance across one or more energy storage systems from one screen. The user interface or report (or underlying data engine) may be configured to aggregate and categorize operating conditions by building, building type, equipment type, and the like. The GUI elements may include charts or histograms that allow the user to visually analyze the operating parameters and power consumption for the devices of the energy storage system.
Still referring to
Central plant controller 500 is shown to include configuration tools 516. Configuration tools 516 can allow a user to define (e.g., via graphical user interfaces, via prompt-driven “wizards,” etc.) how central plant controller 500 should react to changing conditions in the energy storage subsystems. In an exemplary embodiment, configuration tools 516 allow a user to build and store condition-response scenarios that can cross multiple energy storage system devices, multiple building systems, and multiple enterprise control applications (e.g., work order management system applications, entity resource planning applications, etc.). For example, configuration tools 516 can provide the user with the ability to combine data (e.g., from subsystems, from event histories) using a variety of conditional logic. In varying exemplary embodiments, the conditional logic can range from simple logical operators between conditions (e.g., AND, OR, XOR, etc.) to pseudo-code constructs or complex programming language functions (allowing for more complex interactions, conditional statements, loops, etc.). Configuration tools 516 can present user interfaces for building such conditional logic. The user interfaces may allow users to define policies and responses graphically. In some embodiments, the user interfaces may allow a user to select a pre-stored or pre-constructed policy and adapt it or enable it for use with their system.
Referring now to
Secondary pumps 602 are responsible for delivering the required flow of a fluid (e.g., hot water, chilled water, etc.) for a given building campus. In system 600, the fluid resistance of the building or campus is represented by the lumped campus coil 606, whereas the fluid resistance of the supply pipes connecting secondary pumps 602 to the building or campus is represented by supply pipe resistance 604. The lumped campus coil 606 and the supply pipe resistance 604 are modeled as fluid resistors which cause a pressure drop of the fluid across the fluid resistors, analogous to how electrical resistors cause a voltage drop across an electrical resistor in an electrical system or how thermal resistors cause a temperature drop in across a thermal resistor a temperature system. The fluid resistances represented by the lumped campus coil 606 and the supply pipe resistance 604 may be attributable to frictional forces (e.g., drag forces, shear forces, etc.) caused by the resistance to flow, which act on the fluid as it flows through the corresponding portions of the fluid network. Resistance to fluid flow may depend on the fluid velocity as it flows through the pipes or other components of the fluid network, fluid viscosity, or other factors specific to the physical properties of the pipes or fluid network (e.g., pipe fittings and joints, tube convergence, divergence, turns, surface roughness, etc.), all of which can affect pressure drop across the lumped campus coil 606 and the supply pipe resistance 604. Secondary pumps 602 consume power (e.g., electricity) to pump the fluid through the supply pipe resistance 604 and the lumped campus coil 606. After exiting the lumped campus coil 606, the fluid returns to central plant 200 as return flow to the plant equipment.
In a central plant system, it may be beneficial to estimate and predict power consumption of secondary pumps 602 into the future. This can help when performing optimization for energy and/or cost savings as described above. Obtaining a campus coil system curve is a key step for estimating power consumption as the operating point of the pumps will be the intersection of the pumps curves with systems curves for a given required flow. As used herein, the term “system curve” denotes a relationship between the flow rate of a fluid through the system (e.g., the building or campus) and the required differential pressure (DP or AP) across the pumps required to achieve that flow rate. For example, in system 600, the flow rate defined by the system curve may be the flow rate of the fluid through the two fluid resistance elements 604 and 606, whereas the differential pressure may be the difference between the fluid pressure upstream and downstream of secondary pumps 602 (i.e., the pressure differential across secondary pumps 602). A system curve can be expressed a function (e.g., DP=f(flow)), a graph that plots differential pressure against flow, a model that relates differential pressure to flow, or any other type of relationship between differential pressure and flow. Since each campus has a unique coil system curve, it is desired to automate fitting such curves from site data. The present disclosure provides a method for fitting coil system curves automatically using site data.
Central plant controller 500 can be configured to model the fluid resistance of the building or campus and the connecting supply pipes as the two resistances 606 and 604 shown in
Central plant controller 500 can be configured to obtain campus coil system curves from site measurements. To gather the training data used to generate a system curve, central plant controller 500 may obtain values of the pressure differential across secondary pumps 602 as well as the corresponding fluid flow values at various times (e.g., at a plurality of time steps within a given time period). In some embodiments, both the values of the differential pressure and the fluid flow rate can be measured by sensors or derived from sensors (e.g., by pressure sensors located upstream and downstream of secondary pumps, by flow sensors located along the supply pipe, etc.). In some embodiments, central plant controller 500 calculates or estimates the pressure differential across secondary pumps 602 using a pump model. The pump model may relate the power consumption of secondary pumps 602 to corresponding power consumption values. Accordingly, central plant controller 500 may measure or otherwise obtain values of the power consumption of secondary pumps 602 and use the pump model to calculate the corresponding differential pressure values.
In some embodiments, the pump model for a given pump of secondary pumps 602 relates the pressure differential across a pump to the flow rate through the pump. Accordingly, in order to use such a pump model to obtain the differential pressure across the pump, central plant controller 500 may divide the total flow from the coil measurements (e.g., the total flow rate provided by all of the pumps) by the number of pumps turned on at each time step. The resulting value is the flow through a single pump. The flow through the pump can then be passed as inputs to the pump model in order to estimate pressure difference across the pump. For systems in which the pumps are arranged in parallel, as shown in
Central plant controller 500 can gather the set of training data including values of pressure differential and corresponding values of flow rate for secondary pumps 602 at various times. Once the values of pressure differential and flow rate have been obtained, central plant controller 500 can use them to train a system curve. In some embodiments, the system curve has the form:
where DP is the pressure difference across secondary pumps 602 and DPsp is an offset representing a pressure difference setpoint across a branch of the coil 606 (typically located two thirds down the coil branches). The two terms of this equation represent the pressure drops across supply pipe resistance 604
and lumped campus coil 606 (i.e., DPsp), which add to represent the total pressure differential DP across secondary pumps 602. In some embodiments, secondary pumps 602 are controlled to achieve the pressure setpoint DPsp at the building or campus, which may be equivalent to the pressure differential ΔPsp across the lumped campus coil resistance 606 in
In some embodiments, central plant controller 500 uses the following form of the system curve to simplify linear regression:
where DP is the same as described above (i.e., the pressure differential across secondary pumps 602) and Flow is the aggregate flow rate through all of secondary pumps 602 (i.e., the flow rate through the supply pipe resistance 604 and the lumped campus coil 606). The parameters x1 and x2 are trainable parameters of the system curve. The first parameter x1 represents a differential pressure offset and corresponds to the value of the variable DPsp. The second parameter x2 represents a scaling factor applied to a function of the flow rate (i.e., the square of the flow rate) and corresponds to the value 1/CV2.
Referring now to
Central plant controller 500 may control secondary pump system 700 to maintain a constant differential pressure DPsp or ΔPsp across one or more of the resistors 710. The particular resistor 710 selected may be located approximately two thirds down the distributed campus branches in some embodiments. Additionally or alternatively, some sites have multiple pressure difference measurements located in different locations in the coil branches (e.g., across multiple resistors 710). In some embodiments, central plant controller 500 identifies the lowest pressure differential DPsp or ΔPsp across the different resistors 700 at each time step and operates secondary pumps 702 to achieve the identified value of DPsp or ΔPsp.
It is expected that some parts of the campus require more heating or cooling than others, and therefore will require more fluid flow from secondary pump system 700. Depending on which of the vertical resistances 710 need more load, the system 706 as a whole can be subject to a different CV. This is because the amount of supply line resistances 708 and vertical campus resistances 710 before each subsequent resistor 710 is different. This adds a complexity in modeling for scenarios in which it is difficult to predict into the future which parts of the campus require more load. However, this complexity can be captured by modifying the model above with an extra model parameter x3 which replaces the exponent on the Flow variable as follows:
This model form is more complex because determining the appropriate value of the extra model parameter x3 may require nonlinear regression as it is arranged as an exponent in the model. However, it provides an advantage over the previous model because the variable exponent can be used to represent systems in which a building or campus might have several system curves depending on how much resistance there is and how far across the campus the fluid needs to flow. Since such information is not available through measurements, it may be beneficial to identify an average curve that captures the general trend across the system curves. Identifying the exponent x3 provides more flexibility in fitting such data and may result in a more accurate model than fixing x3=2 for some sites.
Referring now to
Process 800 is shown to include obtaining values of fluid flow rate to the building or campus (step 802). The values of the fluid flow rate can be obtained from flow sensors located upstream or downstream of secondary pumps 602 or otherwise positioned to measure the flow rate of the fluid provided by secondary pumps 602 to the building or campus. In some embodiments, separate flow rates are obtained for each of secondary pumps 602 and aggregated (e.g., added, summed, etc.) to calculate the combined flow rate provided by all of secondary pumps 602. The flow rate data can be obtained for each time step during a given time period and stored as timeseries data in a historical database. Step 802 can include obtaining the flow rate data from the database or directly from sensors. The values of the flow rate data obtained in step 808 can be used as the values of the Flow variable in the system models.
Process 800 is shown to include obtaining pump operation data (step 804). The pump operation data may include values of any other variables measured or calculated by secondary pump system 600. For example, the pump operation data obtained in step 804 may include values of the heating load or cooling load requested by the building or campus and/or delivered to the building or campus, values of the amount of power consumed by each of secondary pumps 602 individually or in aggregate, values of the pump speeds of secondary pumps 602, and/or on/off commands or operating states of secondary pumps 602. In some embodiments, the pump operation data includes the flow rates obtained in step 802. Like the flow rates obtained in step 802, the values of the pump operation data obtained in step 804 can be obtained for each time step during a given time period and stored as timeseries data in a historical database. Step 804 can include obtaining the pump operation data from the database or directly from sensors.
Process 800 is shown to include estimating a differential pressure across the pumps using the pump operation data (step 806). In some embodiments, step 806 includes using a pump model to predict the pressure differential across a given pump or set of secondary pumps 602 based on the pump speed and/or the flow rate. For example, step 806 may include obtaining a model for an individual pump or set of secondary pumps 602 that relates differential pressure across the pump(s) to the pump speed(s) and/or the flow rate(s). Step 806 can include inputting the pump speeds and/or the flow rates as inputs to the model and obtaining the pressure differential as an output of the model. In some embodiments, step 806 is performed for each of secondary pumps 602 individually. For example, the aggregate pump flow rate data obtained in step 802 can be divided by the number of secondary pumps 602 turned on to determine the flow rate through each of secondary pumps 602. The flow rate for a given pump can then be used in combination with the pump speed of that same pump as inputs to the model that relates differential pressure to pump speed and flow rate. In some embodiments, the differential pressures obtained for each individual pump in step 806 are aggregated (e.g., averaged) to calculate the differential pressure across the set of secondary pumps 602.
Alternatively, step 806 can be performed for the set of secondary pumps 602 as a group using values of the flow rate and pump speed for the set of secondary pumps 602 instead of pump-specific values for individual pumps. Like the flow rates obtained in step 802 and the pump operation data obtained in step 804, the values of the differential pressure obtained in step 806 can be estimated for each time step during a given time period and stored as timeseries data in a historical database. Step 806 can include obtaining the flow rate data and the pump operation data from the database or directly from sensors for each time step and calculating the corresponding values of differential pressure at each time step. The differential pressure values can be stored as timeseries data in the database.
Process 800 is shown to include estimating a pump power consumption based on differential pressure using a pump model (step 808). In some embodiments, step 808 includes using a pump model that relates differential pressure to power consumption to calculate or predict an amount of power consumption required to achieve the pressure differentials estimated in step 806. The estimated/predicted power consumption values can then be compared against the actual power consumption values of secondary pumps 602 obtained in step 804 to validate the estimated power consumption data (step 810). Step 810 can be performed to validate the accuracy of the models used in process 800.
Referring now to
Referring now to
Graph 1100 includes the same points 1002 as graph 1000 with additional system curves 1102 and 1104 generated by central plant controller 500. System curve 1102 is generated using the linear regression model DP=x1+x2(Flow)2 by fitting this model to points 1002 to determine values of the regression coefficients x1 and x2. The curve fitting process may include performing linear regression using any of a variety of curve fitting techniques. The result of the curve fitting process results in system curve 1102 of DP=28.64+19.67(Flow)2 in which x1=28.64 and x2=19.67.
System curve 1104 is generated using the nonlinear regression model DP=x1+x2(Flow)x
Referring now to
Primary pump system 1200 is the same as secondary pump system 600 or 700 in many ways. For example, supply pipe resistance 1204 in primary pump system 1200 may be the same as or similar to the supply pipe resistance 604 in secondary pump system 600 and/or the supply pipe resistance 704 in secondary pump system 700. Additionally, primary pump system 1200 is shown to include a set of fluid resistors 1206 including resistors 1208 and 1210. Fluid resistors 1210 are depicted as vertical in
Central plant controller 500 can be configured to adapt the system curve modeling techniques described above with respect to secondary pump systems 600 and 700 to account for scenarios in which primary pumps 1202 are provided instead of secondary pumps 602 or 702. In primary pump system 1200, the addition of chillers 232 downstream of primary pumps 1202 causes additional fluid resistance which changes drastically based on the number of chillers 232 turned on. The total fluid resistance caused by chillers 232 decreases as the number of chillers 232 turned on increases (i.e., more chillers 232 are turned on to provide parallel flow paths). Conversely, the total fluid resistance caused by chillers 232 increase as the number of chillers 232 turned on decreases (i.e., more chillers 232 are turned off which reduces the number of parallel flow paths). The variable fluid resistance across chillers 232 causes variations in the pressure drop that occurs across chillers 232 during operation.
In some embodiments, central plant controller 500 accounts for the additional pressure drop caused by chillers 232 when generating the system curves. For example, central plant controller 500 can modify the system curve to have the form:
where DP is the pressure difference across primary pumps 602, DPsp is an offset representing a pressure difference setpoint across a branch of the building or campus (e.g., a pressure difference across fluid resistor 1210), Flow is the total fluid flow rate provided by primary pumps 1202, CVsupply_pipe is the inverse of the fluid resistance generated by supply pipe resistance 1204, and CVchiller
The variable DPsp in the above system curve represents the pressure drop across the building or campus and may be equivalent to ΔPsp shown in
represents the pressure drop across supply pipe resistance 1204, whereas the term
represents the pressure drop across chillers 232. If any of chillers 232 are turned off, the corresponding value of CVchiller for that chiller may be set to zero. For example, if only one chiller (i.e., Chiller 1) is turned on at a given time, the pressure drop across chillers 232 can be modeled as
As another example, if Chiller 1 and Chiller 3 are turned on and Chiller 2 is turned off at a given time, the pressure drop across chillers 232 can be modeled as
Since each chiller acts like a parallel resistance, the fluid resistance and pressure drop across chillers 232 decreases as more chillers 232 are turned on.
Central plant controller 500 can be configured to adapt the system curve generation techniques described above for secondary pump systems 600 and 700 to account for the additional pressure drop caused by chillers 232 to develop a system curve for primary pump system 1200. The pressure drop across chillers 232 can be defined as:
whereas the combined pressure drop across supply pipe resistance 1204 and the building/campus load coil 1206 can be defined as:
The total pressure differential across primary pumps 1202 DPpumps can then be defined as the sum of the pressure drop DPchillers across chillers 232 and the pressure drop across supply pipe resistance 1204 and the building/campus load coil 1206 DPcoil as follows:
Central plant controller 500 can use the system curve generation techniques described above for secondary pump systems 600 and 700 to generate a system curve for the DPcoil component in primary pump system 1200. However, adaptation is required to remove the effect of DPchillers before the techniques described above can be applied to primary pump system 1200. For example, central plant controller 500 may subtract the pressure drop DPchillers from the total pressure differential DPpumps across primary pumps 1202 to obtain an expression for DP coil:
The values of DPcoil can then be used in the same manner as the DP values described above with reference to
and apply the same model generation techniques used for secondary pump systems 600 and 700 to determine the values of the model coefficients x1, x2, and/or x3 in the system curves for DPcoil. Central plant controller 500 can then add the pressure drop DPchillers to the calculated values of DPcoil using the above system curves to determine the total pressure differential DPpumps across primary pumps 1202:
Referring now to
Process 1300 is shown to include obtaining values of flow rate provided by primary pumps 1202 and pressure differential across primary pumps 1202 (step 1302). The values of the flow rate provided by primary pumps 1202 may be represented by the variable Flow as described above and indicates the total flow rate of the fluid provided by primary pumps 1202 to the building or campus. The values of the pressure differential across primary pumps 1202 may be represented by the variable DPpumps in primary pump system 1200 and may be equivalent to the values of the differential pressure DP across secondary pumps 602 and 702 in secondary pump systems 600 and 700. The values of Flow and DPpumps can be measured, estimated or calculated based on other variables, or otherwise obtained in the same manner as described with reference to secondary pump systems 600 and 700.
Process 1300 is shown to include determining the number of central plant devices turned on (step 1304) and calculating the pressure drop across the central plant devices based on the number turned on (step 1306). The central plant devices can be chillers, boilers, cooling towers, heat recovery chillers, thermal energy storage devices, or any other type of devices in central plant 200. The following description assumes the central plant devices are chillers 232 for ease of explanation, but it should be understood that any type of central plant devices could be used. The pressure drop across chillers 232 can be calculated as:
where CVchiller
Process 1300 is shown to include calculating an adjusted pressure differential by subtracting the pressure drop across the central plant devices from the pressure differential across the primary pumps (step 1308). The adjusted pressure differential in process 1300 may be the pressure differential DPcoil described above and can be calculated as follows:
where DPpumps is the pressure differential across primary pumps 1202 obtained in step 1302 and Flow is the flow rate provided by primary pumps 1202 obtained in step 1302. The values of CVchiller
Process 1300 is shown to include generating a system curve to model the relationship between the adjusted pressure differential and the flow rate (step 1310). Step 1310 can include performing a curve fitting process to determine the values of the model parameters x1, x2, and/or x3 in the system curves:
The curve fitting process may be a linear regression process for the system curve DPcoil=x1+x2(Flow)2 or a nonlinear regression process for the system curve DPcoil=x1+x2(Flow)x
The system curves generated using process 1300 can then be used during online operation of central plant 200 to predict DPcoil based on the measured or estimated values of Flow. The estimated values of DPchillers can then be added to the model-predicted values of DPcoil to calculate the total pressure differential DPpumps across primary pumps 1202 (i.e., DPpumps=DPchillers+DPcoil). In some embodiments, central plant controller 1300 operates primary pumps 1202 to achieve this pressure differential DPpumps.
Referring now to
Graph 1400 is shown to include system curves 1404 and 1406 generated by central plant controller 500. System curve 1404 is generated using the linear regression model DPcoil=x1+x2(Flow)2 by fitting this model to points 1402 to determine values of the regression coefficients x1 and x2. The curve fitting process may include performing linear regression using any of a variety of curve fitting techniques. The result of the curve fitting process results in system curve 1404 of DP=15.2+64.5(Flow)2 in which x1=15.2 and x2=64.5.
System curve 1406 is generated using the nonlinear regression model DP=x1+x2(Flow)x
In some embodiments, central plant controller 500 can be configured to generate different system curves for different combinations or numbers of chillers 232 being on/off. For example, the steps described above can be repeated for each potential combination or number of chillers 232 being on/off (e.g., one chiller on, two chillers on, three chillers on, chillers 1 and 2 on, chillers 1 and 3 on, chiller 2 on, etc.) to develop a different system curve for each combination or number of chillers 232. Each system curve can be generated using only the flow rate data and pressure differential data obtained when that particular combination or number of chillers 232 are on. In this way, the system curve generated for a given combination or number of chillers 232 may be specific to the scenario when that particular combination or number of chillers 232 are on and may be more accurate than an aggregate system curve trained using the operating data for all operating scenarios.
The construction and arrangement of the systems and methods as shown in the various exemplary embodiments are illustrative only. Although only a few embodiments have been described in detail in this disclosure, many modifications are possible (e.g., variations in sizes, dimensions, structures, shapes and proportions of the various elements, values of parameters, mounting arrangements, use of materials, colors, orientations, etc.). For example, the position of elements can be reversed or otherwise varied and the nature or number of discrete elements or positions can be altered or varied. Accordingly, all such modifications are intended to be included within the scope of the present disclosure. The order or sequence of any process or method steps can be varied or re-sequenced according to alternative embodiments. Other substitutions, modifications, changes, and omissions can be made in the design, operating conditions and arrangement of the exemplary embodiments without departing from the scope of the present disclosure.
As utilized herein, the terms “approximately,” “about,” “substantially,” and similar terms are intended to have a broad meaning in harmony with the common and accepted usage by those of ordinary skill in the art to which the subject matter of this disclosure pertains. It should be understood by those of skill in the art who review this disclosure that these terms are intended to allow a description of certain features described and claimed without restricting the scope of these features to the precise numerical ranges provided. Accordingly, these terms should be interpreted as indicating that insubstantial or inconsequential modifications or alterations of the subject matter described and are considered to be within the scope of the disclosure.
The present disclosure contemplates methods, systems and program products on any machine-readable media for accomplishing various operations. The embodiments of the present disclosure can be implemented using existing computer processors, or by a special purpose computer processor for an appropriate system, incorporated for this or another purpose, or by a hardwired system. Embodiments within the scope of the present disclosure include program products comprising machine-readable media for carrying or having machine-executable instructions or data structures stored thereon. Such machine-readable media can be any available media that can be accessed by a general purpose or special purpose computer or other machine with a processor. By way of example, such machine-readable media can comprise RAM, ROM, EPROM, EEPROM, CD-ROM or other optical disk storage, magnetic disk storage or other magnetic storage devices, or any other medium which can be used to carry or store desired program code in the form of machine-executable instructions or data structures and which can be accessed by a general purpose or special purpose computer or other machine with a processor. Combinations of the above are also included within the scope of machine-readable media. Machine-executable instructions include, for example, instructions and data which cause a general purpose computer, special purpose computer, or special purpose processing machines to perform a certain function or group of functions.
This application claims the benefit of and the priority to U.S. Provisional Patent Application No. 63/541,628, filed Sep. 29, 2023, the entire disclosure of which is incorporated by reference herein.
Number | Date | Country | |
---|---|---|---|
63541628 | Sep 2023 | US |