This disclosure relates to design of heating, ventilation and air-conditioning (HVAC) systems for buildings and especially to computer simulation and models of such systems.
As well known, buildings use a good deal of energy for heating, ventilation and air-conditioning (HVAC). This is true of residences, office buildings, commercial buildings, factories, etc. Building design currently uses what is referred to as computer aided design (CAD) or computer aided engineering (CAE) with special software packages (tools) for various aspects of the building design process. One such software package is “FloVent” supplied by Mentor Graphics. This is a computational fluid dynamics (CFD) software package that predicts airflow in three dimensions, heat transfer, contamination distribution and comfort indices in and around buildings of all types and sizes. It models various aspects of building airflow systems including diffusers, heat exchangers, grills, and enclosures. It uses a Cartesian gridding system and a preconditioned conjugate residual solver using a flexible cycle multi-grid solution. The reference to “grid” here refers to a 3-dimensional model of the building and the air flow in the building. FloVent is typically used to design buildings and HVAC systems. It can also be used to retrofit existing buildings, and models convective, conductive and radiator heat transfer. FloVent also includes automatic solar loading boundary conditions and treatment for heat gains and losses through windows. It simulates turbulent or laminar airflow and provides contour animation so that the designer can visualize heat transfer pass and airflow representing airflow by vectors or ribbons with various colors indicating temperature or airflow speed. Similar packages are STAR-CCM+ and STAR-CD from CD-Adapco, ANSYS-FLUENT from Ansys, and Airpak from Fluent.
FloVent and similar computer aided design systems use what is referred to as the Navier-Stokes equation which describes the motion of fluid substances and is well known in the field of mechanical engineering and thermodynamics. These equations arise from applying Newton's second law to fluid motion together with the assumption that the fluid stress is a sum of the diffusing viscous term proportional the gradient of velocity and the pressure term. It is used to model air movement in the atmosphere such as the weather, ocean currents, water flow in a pipe, airflow around the wing, etc. These equations are a set of non-linear partial differential equations which model turbulence as well as regular airflow. They are used together with boundary conditions to model fluid motion. In the area of airflow and heating and cooling, the key elements of the equation are the temperature, conduction, source/sync of heating, convection and radiation.
Thus this is a part of the field of computational fluid dynamics (CFD). Such problems are frequently solved using a mathematical technique referred to as a finite element method or finite element analysis. This mathematical approach typically involves solving the problem for a mesh or grid in two or three or more dimensions. See, for instance, U.S. Pat. No. 4,912,664 Weiss et al. issued Mar. 27, 1990 and incorporated herein by reference directed to the mathematical approach of generating a mesh for finite element analysis and solving same using computer software. This mesh approach is typically well known for determining the physical characteristics of a hydraulic (fluid) system and modeling continuous physical characteristics such as temperature, pressure, and heat which are approximated by a discrete model composed of a set of piece-wise continuous functions defined over the mesh.
In more detail, finite element method (FEM) or finite element analysis (FEA) are numerical techniques for finding approximate solutions of partial differential equations of the Navier-Stokes type. The finite element method is especially useful over complicated domains such as fluid systems such as air movement in a building when the desired position varies over the entire domain. Thus one can have a denser mesh in certain portions of the system and a larger size mesh at other portions reducing the computer cost of simulation. It is well known to use FEM and FEA for thermal, magnetic, fluid and other systems. This method allows entire designs to be constructed, refined and optimized in a modeling format before the physical system is actually constructed. Of course, this is especially useful in the context of buildings and other complex systems. For instance, it is well known to use the finite element method to solve problems related to air movement within a building using turbulence modeling and other aspects of CFD.
However, the present inventor has identified deficiencies in these known systems (known as CFD thermal simulation tools) especially as relates to building design for HVAC. FloVent and similar systems only provide a single design per simulation iteration. They have no analytical way to optimize such designs. Instead they rely on either human expert input so the individual design outputs are somewhat optimized, or a “brute force” approach using many iterations, hence many designs, with a human expert selecting one quasi-optimized design. This process is computationally intensive (slow) since CFD must use a relatively fine mesh such as 1 cm3 volume elements and also requires substantial human expert input. For instance, it would require an experienced engineer about 40 or 50 hours to optimize the HVAC of a single family house.
In accordance with the invention, a computer-based method and system are provided typically embodied in computer software executed on a computer, e.g., a work station or other type. Conventional HVAC design tools as explained above are computationally very slow, since the underlying basic model in terms of the physics of air (fluid) flow is that of the Navier-Stokes equation and solutions are computed using CFD.
Instead a computationally much simpler (hence faster) approach is used here by initially modeling the building and its HVAC system (1) more coarsely in terms of the mesh of data points; (2) more simply as an analog electrical circuit. The data input to the present software tool includes not only the building design in terms of the size and layout of the rooms, including windows which allow solar radiation to enter and heat to leave, doors, the building location, local weather, building materials especially in terms of insulation value, and other factors that are well known aspects of building design. Also provided are boundary conditions such as the ambient temperature, etc.
The present method is directed towards designing the HVAC system for a new building or a retrofit of a building. In the examples given here this is a forced air circulation system. In other embodiments with suitable modifications the present system may be used for buildings using, for instance, radiant or circulating water or steam heating and/or cooling. The present inventors have determined that most present day HVAC systems are not well designed in the sense that they consume excess energy (1) to circulate the warm or cool air through the ducts and the rooms, (2) to warm or cool the air, and also do not necessarily provide good temperature control within the building in terms of heating or cooling. Thus typically most buildings, especially larger commercial type buildings, undesirably have hot and cold spots or use excessive energy. The design of the HVAC system includes the air ducts and their layout and size in terms of length and internal dimensions, and presence and location of dampers within the ducts. A damper is a structure within the duct which partially blocks air movement within the duct. They are typically introduced to direct the air in certain ways through the ducting system. Note that the typical ducting system includes not only the outgoing ducts which carry the warm and/or cool air from the air-conditioning or heating plant to the rooms, but also the air return ducts. Typically the return ducts are a separate set of ducts but also require design.
The present system, unlike FloVent and similar tools, provides an analytical (optimized) solution to HVAC design. It does this by initially constructing a high level (coarse grained) model of the building and its HVAC to find an optimal region (range) of solutions, using a mathematical neighborhood method. The model, rather than using CFD, models the building as an electrical circuit which is computationally much easier. Then given this region of solutions provided by the electrical circuit model, other conventional tools packages such as FloVent can then be used to define more detailed solutions within the optimal region. This advantageously limits use of FloVent to only a few iterations. Further, no expert is needed to find the optimal region since that is performed analytically by the system. It has been found this approach is about 500 to 1,000 times faster than the conventional approach.
The present system employs in one embodiment an electrical circuit model of the building in the form of a network of electrical R-C (resistance-capacitance) loops (circuits), each loop representing e.g. a room or suite or floor of the building. These loops are (by simulation) electrically coupled together to generate a model of the entire building. In each loop, the electrical resistance, capacitance, current and power respectively map to heat sources, room volume, air flow, and energy use. Such electrical networks are readily modeled using commercially available computer aided design software tools intended for analog electrical circuit design. Note that the analogy of an electrical R-C circuit to a building is rather close. Electrical resistors dissipate energy, electrical capacitors store energy, and electrical current moves in a loop through a circuit.
There are five elements of energy efficiency in buildings. They are source, component, distribution, monitoring and storage efficiencies. These efficiencies have to be solved and designed simultaneously. Heating, Ventilation and Air Conditioning (HVAC) systems are an integral part of distribution efficiency, as they account for about 55% of monthly energy bill for buildings. Traditionally, when designing for efficiency, HVAC engineers use only a mathematical approximation of the necessary flow parameters resulting in HVAC systems that are far less efficient than they could be. The present software simulates and optimizes the HVAC system of a building to a far greater degree of accuracy than traditional methods, and at a computational speed a thousand times faster than brute force methods for the same calculation. An optimized HVAC system in accordance with the invention is expected to reduce the temperature variation (gradient) across the building, thereby reducing energy consumption by about 35% for commercial and residential buildings.
Typically in an HVAC system the air is pushed and pulled through the ducts by ventilation fans. Operation of the fans uses substantial energy since they are electrically powered. It is desirable to optimize the amount of energy consumed by the fans in circulating the air through the ducts as well as the energy (electricity, gas, etc.) needed to heat and/or cool the air. Note that the present invention is not limited in terms of the source of the warm or cold air (or water or steam for a circulating steam or water system) since it is essentially directed to the duct or pipe design, rather than the air-conditioning or heating units. It is thus compatible with air (or water) heating and air cooling units of the types commercially available. One aspect in accordance with the invention is that the air ducts, in terms of their sizes, are designed so as to be most efficient in terms of not impeding airflow and, also providing smaller ducts where less volume of airflow is needed. Larger ducts cost more to install, hence minimizing duct size is also a goal here.
Note that the structure of the actual air ducts (or pipes in a system circulating steam or water) may be conventional. In most cases the ducts would be fabricated from conventional sheet metal structures and/or plastic tubing of the types commercially available. Thus the ducts and baffles provided in the ducts are intended to remove or reduce temperature gradients within any one room and across the building as needed in an efficient manner in terms of energy consumption.
In the first step 20, one inputs a conventional building design data file which is in a standard computer aided design format such as DWG and DXF used in the Revit MEP suite from AutoCAD. The building design is in terms of room layout, walls, doors, windows, etc. for the particular building. It may include an initial design for the HVAC system also. In step 22 each room in the room layout is converted to an electrical capacitor equivalent and each window or other heat source (see below) to an electrical resistance equivalent. In step 23, a SPICE simulation (see below) is applied to the resulting Resistance-Capacitance (RC) electrical network of step 22, see below, which is solved for an optimization (see below). This simulation first maps relevant aspects of the building and its HVAC system to analogous aspects of an analog electrical circuit, then simulates (models) the circuit by well known techniques such as the SPICE software analog circuit simulation tool.
Next in step 24 the method sets up (establishes) the building envelope and HVAC system design from the building design file 20 and the conventional computational flow dynamic calculations. The set up step 24 includes setting conventional boundary and local conditions which include ambient factors such as sun angle, sun azimuth, solar irradiance, external ambient temperatures, wall and roof insulation, window insulation, internal heat loads from windows, people, appliances, computers, lighting, etc., and a target internal air temperature such as 21° C. (72° F.). Also most buildings have a minimum air flow requirement, expressed in cubic feet per minute or cubic meters per minute.
Next, in step 26, the method initiates the building envelope and HVAC system design using the building design file where the initial conditions are set by the SPICE optimization solution of step 23. The initiation step 26 assumes “natural” air flow and temperatures (no HVAC air flow). This means no HVAC provided for air flow or heating or cooling. This means closed windows, no air conditioning or heat, and the building heating or cooling due to radiation absorption, heat losses, and internal human and appliance and lighting, etc.
In step 28 the method executes a simulation of the building and its HVAC system. The well known Navier-Stokes equation of step 27 is shown algebraically in
Here, this equation is solved using the Finite Element method in step 28, subject to the initiation step 26 where the solution to step 23 is used as a starting point. In a simple case, the state variables for steps 27 and 28 are size and position of the ducts, the volume flow rate, air velocity in three dimensions, pressure in 3 dimensions, temperature gradient in three dimensions, humidity, buoyancy in three dimensions, air density, subject to components of the room such as the building envelope information, such as the insulative R (not the same as electrical resistance) values of the room envelope, dry wall between rooms, windows, and roof, and subject to storage capacity of the room such as the dimensions of the room and subject to boundary conditions or extreme weather conditions of building, and subject to source of cool air. When all the above variables are solved simultaneously, one has an optimum energy efficient distribution system.
In step 36 the method checks if the simulated design appears to be “good enough” (optimized) in terms of the HVAC system energy consumption. Note that step 36 typically involves a mathematical analysis as well as a visual analysis using the types of output shown in the figures discussed below and explained hereinafter. An exemplary test for “goodness” is the temperature gradient across the building being less than a predetermined value, e.g., 1° F.
If the solution at step 36 is deemed not good enough according to some predefined parameter such as the temperature gradient, the method cycles through the computer code loop including a sensitivity analysis 32 which means sensitivity to changes in (1) air flow (electrical current) and (2) air temperature. The operator then changes the HVAC system design (the air ducts size and layout in this example) thereby modifying an aspect of the HVAC system in step 30. Then the method repeats the simulation of step 28 and returns to the determination if the solution is “good enough” in step 36. Eventually it is determined after several iterations of the code loop involving steps 36, 32, 30 and 28 that the solution is “good enough” (sufficient or adequately optimized according to the parameters) and at this point the method maps the SPICE parameters back to the analogous building parameters, and outputs the resulting optimized building envelope design output file including the design file for the HVAC system at step 40.
This output file from step 40 is typically in one of the standard CAD architectural design formats well known for such files as explained above. This file then is used conventionally to actually design (or redesign) the HVAC system. Other software (not shown) which uses the output file from step 40 includes:
Steps 22, 23 in more detail are carried out using the “SPICE” model (analog electrical circuit simulation) in the form of computer software which performs optimization for electrical circuit designs. The goal is to model the performance of the building and its HVAC system as a complex function (curve) expressed as an electrical circuit where the independent variables map to air temperature and air flow and the curve (the dependent variable) maps to total HVAC system energy consumption which is to be minimized. Typically the curve is of a complex shape, so the use of SPICE locates an optimization region or neighborhood. The narrowness of this region is an expression of the design (solution) being approximate, as is typical of simulations of complex systems. This solution region is then provided to step 26 to reduce the number of iterations of the subsequent CFD model optimization of steps 28 to 36.
In SPICE is a computer open source software (or an equivalent tool) used to design and simulate analog electrical circuitry such as in integrated circuits. SPICE stands for Simulation Program with Integrated Circuit Emphasis. It is a general purpose analog electronic circuit simulator which uses a text net list describing the circuit elements in terms of transistors, resistances, capacitors, etc., and their electrical connections (conductors) expressed as a set of nodes and translates the simulation into equations to be solved based on Kirchoff's laws. The equations produced are non-linear differential algebraic equations. In accordance with the invention SPICE is adapted to model a building and its HVAC system. The present inventor has recognized that similar to a circuit, relevant aspects of a building and its HVAC system can be expressed as a set of coupled nodes, see further description below. Advantages of use of SPICE or a similar tool are that it is commercially available and open source, and so does not require coding of all the necessary equations. Other similar packages may be used instead of SPICE for steps 22, 23.
Depending on the amount of computational power needed, which is dependent on the size and complexity of the building and the fineness of the mesh (or meshes) both expressed as electrical circuit nodes used in the simulation, a typical personal computer may not provide sufficient processing power. That is, the process shown in
In further detail, with regard to
In terms of using SPICE to simulate the HVAC system of a building, this approach in one embodiment models aspects of the building and its HVAC system as a plurality of electrically coupled R-C circuits. First one maps (assigns) the volume (expressed in cubic feet or cubic meters) of each relevant unit (room, suite, or floor) or other portion of the building to electrical capacitance C, e.g. a capacitor, having a particular capacitance expressed e.g. in farads or micro-farads. The relevant building unit is a room, a suite of rooms, or a floor of the building. The heat sources (people, appliances, lighting, computers, machinery, solar irradiance through windows, etc.) which are in watts in each unit map to an electrical resistance, e.g. a resistor, having a resistance R expressed in ohms. These heat sources in each unit of the building are considered to be additive, hence series connected. See
The air flow required in each building unit, expressed in units of cubic feet or meters per second, maps to electrical current in the form of a current source outputting an electrical current expressed in amperes. So each room or suite or floor of the building maps to an R-C circuit (loop) including a current source, resistors, and capacitors of the type readily modeled by SPICE or similar simulators. Notably, the electric power (calculated conventionally as I2R where I is current and R is resistance) consumed by such a circuit maps to the HVAC system energy consumption of the room.
So such a model circuit 52 is specified for each room (or suite or floor). The various rooms (or suites or floors) of the entire building are then in the model coupled together by mapping their HVAC connections (including the air ducts and building hallways, etc.) to electrical connections of the various R-C loops. Typically the adjacent circuit loops (rooms) are modeled as being electrically coupled across a shared resistance or capacitance, depending on whether the adjacent RC loops are connected in series or in parallel. The series/parallel connection corresponds to the equivalent air duct arrangement for the HVAC system.
This is shown in
In contrast,
Moreover, the present approach results in a design more efficient in terms of energy consumption. In one design of a multistory building using the present approach it was found that while cooling the building (in summer, in a sunny climate) a conventional HVAC design resulted in an air flow in each suite of 2,500 CFM and an air temperature as output by the central air conditioning units of 55° F. to achieve room temperatures of 72° F. In contrast, the present method required an air conditioning unit output air temperature of 61° F. but higher (e.g., 3,500 CFM) air flow. Overall, at typical costs of electricity, this would reduce HVAC energy costs by over 30%. One insight in accordance with the invention is that the energy cost of moving air through an HVAC system is less than the energy cost of cooling air. So a given target air temperature can be achieved with less cooling and more air flow with lessened energy consumption.
In one embodiment, the output file 40 allows calculation of operational (energy) expense vs. capital (construction) expense saving, plus duct optimization and distribution energy efficiency with respect to the above described five efficiencies. Specifically, the system illustrates the flow parameters to HVAC engineers who want to design optimum (e.g., “Net Zero”) energy buildings. For example, this is the dollar amount of energy savings per year versus the dollar amount of extra construction expenses per state variable involved in optimization. Based on the output, the building owner or the contractor can decide which state variable he wants to enforce or employ in the construction. Building owners tend to employ the state variable that pays for itself (in energy savings) in less than ten years. For permits incorporate solar panels as one of the state variables, and would give the customer at least fifteen other state variables that could save an equal amount of energy as compared to solar panels, at much less cost than solar panels.
In another set of similar graphic depictions,
In contrast,
Computing system 160 can also include a main memory 168, such as random access memory (RAM) or other dynamic memory, for storing information and instructions to be executed by processor 164. Main memory 168 also may be used for storing temporary variables or other intermediate information during execution of instructions to be executed by processor 164. Computing system 160 may likewise include a read only memory (ROM) or other static storage device coupled to bus 162 for storing static information and instructions for processor 164.
Computing system 160 may also include information storage system 170, which may include, for example, a media drive 162 and a removable storage interface 180. The media drive 172 may include a drive or other mechanism to support fixed or removable storage media, such as flash memory, a hard disk drive, a floppy disk drive, a magnetic tape drive, an optical disk drive, a compact disk (CD) or digital versatile disk (DVD) drive (R or RW), or other removable or fixed media drive. Storage media 178 may include, for example, a hard disk, floppy disk, magnetic tape, optical disk, CD or DVD, or other fixed or removable medium that is read by and written to by media drive 172. As these examples illustrate, the storage media 178 may include a computer-readable storage medium having stored therein particular computer software or data.
In alternative embodiments, information storage system 170 may include other similar components for allowing computer programs or other instructions or data to be loaded into computing system 160. Such components may include, for example, a removable storage unit 182 and an interface 180, such as a program cartridge and cartridge interface, a removable memory (for example, a flash memory or other removable memory module) and memory slot, and other removable storage units 182 and interfaces 180 that allow software and data to be transferred from the removable storage unit 178 to computing system 160.
Computing system 160 can also include a communications interface 184. Communications interface 184 can be used to allow software and data to be transferred between computing system 160 and external devices. Examples of communications interface 184 can include a modem, a network interface (such as an Ethernet or other network interface card (NIC)), a communications port (such as for example, a USB port), a PCMCIA slot and card, etc. Software and data transferred via communications interface 184 are in the form of signals which can be electronic, electromagnetic, optical or other signals capable of being received by communications interface 184. These signals are provided to communications interface 184 via a channel 188. This channel 188 may carry signals and may be implemented using a wireless medium, wire or cable, fiber optics, or other communications medium. Some examples of a channel include a phone line, a cellular phone link, an RF link, a network interface, a local or wide area network, and other communications channels.
In this disclosure, the terms “computer program product,” “computer-readable medium” and the like may be used generally to refer to media such as, for example, memory 168, storage device 178, or storage unit 182. These and other forms of computer-readable media may store one or more instructions for use by processor 164, to cause the processor to perform specified operations. Such instructions, generally referred to as software or computer program code (which may be grouped in the form of computer programs or other groupings), when executed, enable the computing system 160 to perform functions of embodiments of the invention. Note that the code may directly cause the processor to perform specified operations, be compiled to do so, and/or be combined with other software, hardware, and/or firmware elements (e.g., libraries for performing standard functions) to do so.
In an embodiment implemented using software, the software may be stored in a computer-readable medium and loaded into computing system 160 using, for example, removable storage drive 174, drive 172 or communications interface 184. The control logic (in this example, software instructions or computer program code), when executed by the processor 164, causes the processor 164 to perform the functions of embodiments of the invention as described herein.
This disclosure is illustrative but not limiting; further modifications and improvements will be apparent to those skilled in the art in light of this disclosure, and are intended to fall within the scope of the appended claims.