CN113901590B - Large aircraft climate environment laboratory temperature rise and fall transient load analysis method - Google Patents
Large aircraft climate environment laboratory temperature rise and fall transient load analysis method Download PDFInfo
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Abstract
The invention provides a method for analyzing the temperature rise and drop transient load of a large airplane in a climate environment laboratory, which relates to the technical field of airplanes and comprises the following steps: S1-S8: respectively establishing heat load models of air, a heat insulation plate, a terrace, compensation fresh air, a steel structure, a fan, illumination and an airplane; s9, establishing a refrigeration/heating system model; S10-S13, respectively establishing a temperature dynamic change equation of indoor air, a terrace and an airplane and an integral temperature dynamic change equation set; s14, setting relevant parameters; s15, solving a differential equation set and calculating the transient load. The analysis method solves the problems of lack of design or over-complex design of the laboratory for the accurate calculation of the heat load in the cooling and heating processes, and has the advantages of accurate calculation, reasonable design and low calculation complexity.
Description
Technical Field
The invention relates to the technical field of airplane design, in particular to a temperature rise and fall transient load analysis method for a large airplane climate environment laboratory.
Background
An aircraft (aeroplane) refers to a heavier-than-air aircraft that has one or more engines and a power plant that generates forward thrust or pull, generates lift from the fixed wings of the fuselage, and flies in the atmosphere. Airplanes can be classified into military and civil use according to their purpose. Military aircraft refers to aircraft used in various military fields, while civil aircraft refers to all non-military-purpose aircraft (such as passenger aircraft, cargo aircraft, agricultural aircraft, sports aircraft, ambulance aircraft, and research and development aircraft).
Of course, with the continuous development of aviation technology and the continuous improvement of airplane performance, the design requirement of airplane adapting to extreme weather is more and more, and generally, the airplane structure design should meet the following basic requirements: (1) the requirement of aerodynamic shape, in order to ensure that the airplane has the original good stability and maneuverability in aerodynamic, the wings, the empennage and the fuselage are not allowed to have excessive deformation, have enough strength and rigidity, and have light weight; (2) has sufficient rigidity (by rigidity is meant the ability of a structure or material to resist deformation) and takes other measures to avoid unacceptable aeroelastic and vibration problems.
To check whether the aircraft meets the above requirements, a relevant large climate laboratory needs to be established. The airplane environment laboratory is the first ultra-large type climate environment simulation facility capable of simulating typical climate environments such as high temperature, low temperature, solar radiation, temperature/humidity, rain, snow, freezing rain, icing and the like in China, is used for meeting the climate environment test of equipment such as full-size airplanes, missile weapon systems and the like, and fills the blank of the field of airplane climate environment test in China.
In a large aircraft climate environment laboratory, in order to simulate a temperature environment of-55 ℃ to +74 ℃, the aircraft climate environment laboratory is provided with a large refrigeration system and a large heating system, and a cold/heat carrying system is used for providing cold/heat for the laboratory. In order to efficiently transmit the cold quantity and the heat quantity of the secondary refrigerant to a laboratory, the laboratory is provided with a circulating air processing unit for adjusting the indoor air temperature, a heat exchanger and a circulating fan are arranged in the circulating air processing unit, the heat exchanger realizes the heat exchange between the air and the secondary refrigerant, and the circulating fan sends the processed air into the room. In order to ensure the stability of indoor pressure, the laboratory is provided with a fresh air processing unit, and after the fresh air processing unit dries outdoor air, fresh air is sent into the laboratory in a constant flow manner. In order to reduce the heat transfer between the air inside the laboratory and the outside air, the wall bodies and the suspended ceilings around the laboratory are all subjected to heat insulation treatment by adopting polyurethane heat insulation boards. In addition, the indoor terrace adopts a special concrete structure form, and the effects of large bearing capacity, heat insulation and sealing can be realized. The steel structure at the top of the laboratory is used for hoisting special simulation system devices, such as a solar irradiation system lamp array, a rain rack and the like. The top of the laboratory is provided with a high-power illuminating lamp for indoor illumination.
Aircraft environment laboratories are large in size and can accommodate a maximum of one large U.S. class C-5 transport (approximately 182 tons in mass), and these components are a significant thermal load on the cooling/heating system of the laboratory. Transient heat load of a super-large environment laboratory in a temperature rise/reduction process is related to capacity selection configuration of a refrigerating system and a heating system, and in order to avoid huge waste of capital or insufficient system capacity caused by over-design or under-design of capacities of the refrigerating system and the heating system of the laboratory, heat load of each component of the laboratory in the temperature rise/reduction process, especially transient load under the condition of load (large-scale transport machine), needs to be accurately calculated.
In the field of engineering application, a method for calculating the heat load comprises the following steps: (1) estimating the load by adopting empirical data, which is mainly used for estimating the heating and ventilation loads of common buildings and houses and is used for calculating the load of a boundary temperature point; (2) CFD simulation calculation is adopted.
The first method is based on a large amount of data as a reference basis, but an aircraft environmental laboratory does not have a large amount of historical reference data, and the result obtained by the method is invalid after the internal environment of the aircraft climate environmental laboratory changes; the second method has the problem of over-design, is too complex and has no practicability.
Disclosure of Invention
The technical problem solved by the invention is as follows: the accurate calculation of the thermal load in the cooling and heating processes in the aircraft climate environment laboratory is lack of design or too complex.
In order to solve the above problems, the present invention provides the following technical solutions:
the method for analyzing the temperature rise and fall transient load of the large airplane in the climate environment laboratory comprises the following steps:
s1, establishing an air heat load model taking the corrected temperature as a parameter, wherein the model formula is as follows:
in the formula:for the purpose of the air transient load,in order to be a model-modifying factor,is the volume of the air in the room,is the air density at normal temperature and pressure,is the specific heat coefficient of the air,for the numerical calculation of the current air temperature during the process,calculating the air temperature at the previous moment in the process for the numerical value;
s2, considering the laboratory situation, setting the preconditions as: the temperature of the air outside the laboratory is not changed, and the temperature of the inner/outer surface of the heat-insulation plate is respectively the same as the temperature of the air inside and outside the laboratory, so that a heat load model of the heat-insulation plate is established;
s3, establishing a terrace heat load model:
in the formula:in order to be the heat load of the terrace,for strong convectionThe thermal coefficient of the material is as follows,in order to provide a floor area for a laboratory,for the numerical calculation of the current air temperature during the process,the temperature of the top floor in the terrace;
s4, establishing a wind heat load compensation model according to the characteristic that the air supply temperature of the laboratory compensation fresh air is a constant value;
s5, establishing a steel structure heat load model, and setting the preconditions as follows: the initial air temperature in the steel structure and the laboratory is the same and the air temperature change rate in the steel structure and the laboratory is the same, and according to a heat calculation formula, the following steel structure transient heat load model is obtained:
in the formula:for the transient load of the steel structure,the mass of the steel structure is the weight of the steel structure,is the specific heat coefficient of the steel material,for numerically calculating the current steel structure temperature during the process,for steel structures at a previous moment in the calculation of the value(ii) temperature;
s6, establishing a fan thermal load model, wherein the air temperature variation range of a laboratory is-55 to +74 ℃, and according to the characteristics that the air output of the laboratory fan is large under a high-temperature working condition and small under a low-temperature working condition, establishing the following variable working condition thermal load model:
in the formula:in order to provide a thermal load for the fan,in order to increase the number of the fans,is the effective power of a single fan,calculating the current air temperature for the value;
s7, establishing a lighting heat load model with a constant value;
s8, because the maximum load of the laboratory is a large-scale transport airplane with C5, in order to accurately calculate the heat load, an airplane heat load model is established according to the convection heat exchange principle:
in the formula:in order to be a thermal load of the aircraft,in order to obtain a convective heat transfer coefficient,the surface area of the aircraft is,for the numerical calculation of the current air temperature during the process,is the temperature of the aircraft surface;
s9, establishing a refrigeration/heating system model, and establishing the following sectional type refrigeration/heating model according to the refrigeration/heating system working mode and refrigeration/heating application characteristics selected by a laboratory:
in the formula:the cold/heat provided to the refrigeration/heating system,as a coefficient of the margin, is,calculating the current air temperature for the value;
s10, establishing an indoor air temperature dynamic change equation, and setting the preconditions as follows: the initial air temperature of the steel structure in the laboratory is the same as that of the air in the laboratory, and the change rate of the air temperature of the steel structure in the laboratory is the same as that of the air in the laboratory, and according to the heat balance principle, the following air temperature dynamic differential equation is established:
in the formula:is air temperature versus timeThe rate of change of (a) is,is the temperature of the air in the room,is the temperature of the top-layer terrace,for the surface temperature of the aircraft as a load,is the set point of the air temperature,the cold/heat provided to the refrigeration/heating system,in order to provide the thermal load of the insulation board,in order to provide the heat load of the terrace,in order to compensate for the heat load of the fresh air,in order to provide a thermal load for the fan,in order to illuminate the heat load,which is indicative of the thermal load of the aircraft,in order to obtain the quality of the air in the room,、the specific heat coefficients of air and a steel structure respectively,the mass of the steel structure is the weight of the steel structure,representing a dynamic variation function of air temperature;
s11, dividing the floor into 13 layers according to the concrete structure and weight of the laboratory floor, and respectively establishing floor temperature dynamic change equations for calculating the floor temperature change rates of the 1 st layer, the 2 nd to 12 th layers and the 13 th layer;
s12, establishing a temperature dynamic change equation of the airplane:
in the formula:for aircraft temperature versus timeThe rate of change of (a) is,is the convective heat transfer coefficient between the air and the aircraft,is the temperature of the air in the room,the surface area of the aircraft is,for the surface temperature of the aircraft as a load,in order to be the mass of the aircraft,is the specific heat coefficient of the aircraft,representing a function of aircraft temperature dynamics;
s13, establishing an integral temperature dynamic change equation set:
in the formula:in the form of a temperature rate-of-change matrix,in the form of a temperature matrix, the temperature matrix,in the form of an initial temperature matrix, the temperature,it is the temperature of the air that is,in order to obtain the temperature of each floor,,is the aircraft surface temperature;is an initial temperature value;
s14, setting relevant parameters;
s15, substituting the parameters in step S14 into step S10, step S11, and step S12, respectively, obtaining the air temperature change rate, the floor-level layer temperature change rate, and the airplane temperature change rate, respectively, then importing the air temperature change rate, the floor-level layer temperature change rate, and the airplane temperature change rate into step S13 to obtain the temperature change rate of the entire laboratory under load, and then calculating the transient load.
In step S13, after the floor is divided into 13 layers, a floor temperature change equation with 13 dimensions is established, and since the dimension of the air temperature change equation in the laboratory is 1 dimension and the dimension of the airplane temperature change equation is 1 dimension, the dimension of the linear differential equation set formed by the combination is 15 dimensions.
Further, the thermal load model of the thermal insulation board in step S2 is:
in the formula:in order to provide the thermal load of the insulation board,is the heat transfer coefficient of the heat-insulating plate,is the surface area of the heat-insulating plate in the laboratory,is the thickness of the heat-preserving plate,for the temperature of the current inner surface of the insulation board in the numerical calculation processThe temperature of the air is the same as that of the air,the temperature of the outer surface of the current insulation board in the numerical calculation process is the same as the temperature of outdoor air.
The heat loss of the heat insulation plate in the laboratory is considered, the model is simplified through the precondition, the heat load model of the heat insulation plate is relatively simple, and the calculation process of the transient heat load is simplified while the time is met.
Further, in step S3, the strong convective heat transfer coefficient between the floor and the air is a variable linear parameter, and the functional relationship between the strong convective heat transfer coefficient and the air temperature is:
in the formula:in order to have a strong convective heat transfer coefficient,for the numerical calculation of the current air temperature during the process,in order to fix the constant of 29.28,is a linear factor and takes the value of 0.071.
The heat transfer mode of terrace and air in the laboratory is considered to be the form of strong convection heat transfer in the above content, combines the linear relation that the high low temperature performance evaluation test data of terrace reachs, more can laminate the reality of large-scale aircraft weather laboratory to the terrace heat load model that obtains is more superior than prior art.
Further, the model for compensating the wind heat load established in step S4 is:
in the formula:in order to compensate for the heat load of the fresh air,is the specific heat coefficient of the air,in order to compensate for the mass of the fresh air,for the purpose of numerically calculating the current air temperature,to compensate for fresh air temperature.
The large-scale airplane climate laboratory compensates fresh air through a fresh air system, and the air supply temperature of the large-scale airplane climate laboratory is generally a constant value of minus 25 ℃. According to the characteristics of the fresh air system, the air supply temperature is used as a threshold value, the segmented heat load model is set, the calculation process of the fresh air transient heat load is simplified, the efficiency of the whole method is improved, and the method is more practical.
Further, in step S6, the effective power of the fan under the standard operating condition is:
in the formula:the effective power of the fan is the effective power of the fan,the air quantity of the fan is adopted,is a pressure head of the fan,the safety factor is.
Because the transient heat load change rate of the fan in the whole large-scale airplane climate laboratory is very low, the error of the final result generated by formula calculation with ideal use conditions is very little, the calculation time can be further saved, and the calculation complexity is simplified.
Further, in step S7, the lighting thermal load model formula is:
For the setting of the lighting heat load model, since the instantaneous lighting heat load is constant throughout the large aircraft climate laboratory, it can be obtained directly by measurement, where it is reasonable and practical to use a constant value.
Preferably, the temperature dynamic change equations of the floor in step S11 are respectively:
the temperature change equation of the floor at the 1 st layer:
in the formula:for top floor temperature versus timeThe rate of change of (a) is,is the temperature of the air in the room,is the current temperature of the top floor level,is the current temperature of the lower floor level,in order to have a strong convective heat transfer coefficient,as to the density of the terrace,is the specific heat coefficient of the terrace,the thickness of the terrace is the thickness of the terrace,for the heat transfer coefficient of the terrace,the temperature change function of the grade level of the layer 1 is shown,
temperature change equation of 2 nd to 12 th floor:
in the formula: integer number ofValue range ofEnclose as,For middle floor temperature versus timeThe rate of change of (a) is,is the current temperature of the upper floor,is the current temperature of the intermediate floor level,is the current temperature of the next floor level,for the heat transfer coefficient of the terrace,the thickness of the terrace is the thickness of the terrace,as to the density of the terrace,is the specific heat coefficient of the terrace,
the 13 th floor temperature change equation:
in the formula:for insulating layer terrace temperature vs. timeThe rate of change of (a) is,is the current temperature of the 12 th floor,is the current temperature of the 13 th floor,for the heat transfer coefficient of the terrace,the thickness of the terrace is the thickness of the terrace,as to the density of the terrace,is the specific heat coefficient of the terrace,showing the temperature change function of the 13 th floor.
The above contents are set according to the actual conditions of a large-scale airplane climate environment laboratory, firstly, a laboratory terrace is of a special concrete structure and has the characteristics of large bearing capacity (containing 8% of a steel structure), heat insulation, heat preservation and sealing, the weight of the laboratory terrace reaches thousands of tons, the heat load is huge, secondly, the laboratory terrace is used for accurately simulating the heat transfer process between air and the terrace, the interior of the terrace and the loess layer at the bottom of the terrace, the heat transfer process inside the terrace is layered according to the heat convection, the heat transfer principle and the feasibility of numerical calculation, the heat transfer process is carried out on the interior of the terrace, and the heat load data can be obtained according to the actual conditions and aiming at the ground compared with the simple heat load calculation of a constant value.
Preferably, the setting procedure of the step S14 for the parameters is:
s14-1, setting target parameters: initial air temperature valueOutdoor air temperatureTarget temperature rise/fall;
S14-3, setting air parameters: volume of airSpecific heat coefficient of airAir densityCorrection factor;
S14-4, setting the parameters of the heat preservation plate: thickness ofCoefficient of heat transfer;
S14-5, setting floor parameters: floor areaSpecific heat coefficientDensity, densityCoefficient of heat transfer;
S14-6, setting compensation fresh air parameters: compensating for fresh air qualityCompensating fresh air temperature;
S14-7, setting steel structure parameters: quality of steel structureSpecific heat coefficient of steel material;
S14-8, setting fan parameters: number of fansAir quantity of fan(ii) a Draught fan pressure head(ii) a Factor of safety;
S14-9, is providedDetermining airplane parameters: coefficient of convective heat transferAircraft surface areaSpecific heat coefficient of airplaneAircraft mass;
The multi-parameter settings enable the model to derive actual transient thermal load data from the laboratory environment.
Further preferably, in step S15, the differential equation set of S10 to S13 is solved by using the longguta numerical method, and after numerical calculation results of the air temperature, the temperature of each floor layer, and the aircraft temperature are obtained, the temperature data are used to determine the thermal load data of each component structure and load of the laboratory under the condition of load according to the thermal load model calculation of steps S1 to S8, and the longguta (rubber-Kutta) numerical method is a high-precision single-step algorithm widely applied to engineering, and includes a well-known eulerian method, which is used for numerically solving the differential equation, and has the advantages of high precision, convergence, and stability.
The invention has the beneficial effects that:
(1) the invention provides an air heat load calculation model considering temperature influence, wherein a model correction factorCan correct the air quality change caused by temperature change in the temperature rise/fall process, solves the problem of large air transient load calculation deviation, and improves the air transientAccuracy of the state load calculation;
(2) aiming at different working conditions, the invention provides a variable-parameter terrace heat load model, in the step, as the adjusting range of a large-scale airplane climate environment laboratory is-55 ℃ to +74 ℃, in the temperature rising/reducing process of the laboratory, the strong convection heat exchange coefficient of air and a floor is a non-constant value, in order to simplify the analysis and calculation and not lose the accuracy, the linear variable-parameter terrace heat load model is established to solve the problem, thereby achieving the accurate calculation of the terrace transient load;
(3) the invention provides a variable working condition refrigerating/heating system model, which realizes dynamic simulation of cold/heat, and as the refrigerating capacity and the heating capacity of a laboratory under different test working conditions are different, and the working characteristics of the laboratory refrigerating/heating system under the variable working conditions are combined, a piecewise linear refrigerating/heating system model is established to solve the problem of dynamic application of cold/heat, thereby improving the calculation accuracy;
(4) the invention aims at the uniqueness of large bearing capacity and heat insulation of the laboratory floor structure, because the top layer of the terrace of the large airplane climate environment laboratory has strong convection heat exchange with air, the bottom terrace and the loess layer have heat insulation treatment, and the terrace is used as the maximum heat sink of the laboratory, in order to accurately calculate the heat load of the terrace, according to the characteristics of the terrace structure, the modeling of the heat transfer process of the terrace is carried out in a layered mode, the corresponding heat transfer equation comprises three forms, the temperature change equation of the top-layer terrace considers two factors of convective heat transfer with air and heat conduction with the lower-layer terrace, the temperature change equation of the middle-layer terrace considers heat conduction with the upper-layer terrace and the lower-layer terrace, the temperature change equation of the bottommost terrace only needs to consider heat conduction with the upper-layer terrace, a floor layered heat transfer interpolation model considering two modes of convective heat transfer and heat conduction is provided, and accurate simulation of the temperature reduction process of the terrace is achieved;
(5) aiming at the uniqueness that the laboratory floor structure has large bearing capacity and contains heat insulation, because the top layer of the terrace of the laboratory in the climate environment of a large airplane has strong heat convection with air, the heat insulation treatment is carried out between the bottommost terrace and the loess layer, the terrace is used as the maximum heat sink of the laboratory, and in order to accurately calculate the heat load of the terrace, the layered treatment is adopted for modeling the heat transfer process of the terrace according to the characteristics of the terrace structure, and the corresponding heat transfer equation comprises three forms: firstly, a top-layer terrace temperature change equation considers two factors of convective heat transfer with air and heat conduction with a lower-layer terrace, secondly, a middle-layer terrace temperature change equation considers heat conduction with an upper-layer terrace and a lower-layer terrace, and thirdly, a bottommost terrace temperature change equation only needs to consider heat conduction with the upper-layer terrace; a floor layered heat transfer interpolation model considering two modes of convection heat transfer and heat conduction is provided, and the accurate simulation of the floor cooling process is realized;
(6) the method of the invention considers that the aircraft climate environment laboratory has large volume and very large heat consumption, so that the energy can be saved to the maximum extent in the process of regulating and controlling the laboratory environment only by finely researching the heat change process of the aircraft climate environment laboratory, and the invention is used as a method for researching the temperature rising and falling transient load in the aircraft climate environment laboratory under the load (aircraft) state, and comprises a transient heat load model of all heat consumption generating sources (air in the environment, a heat insulation plate, a terrace with a special concrete structure containing 8 percent of stainless steel reinforcing ribs, an aircraft serving as a carrier, a fresh air system, an illuminating lamp and a steel structure), thereby being capable of obtaining the most practical transient load value according to the specific parameters of the aircraft climate environment laboratory, ensuring that the heat energy required by the temperature change in the aircraft climate environment laboratory can realize the datamation effect, the method has good popularization significance and prospect in the field of airplane design and manufacture.
Detailed Description
In order to make the objects, technical solutions and advantages of the present invention more apparent, it is obvious that the described embodiments are only a part of the embodiments of the present invention, and not all embodiments. All other embodiments, which can be derived by a person skilled in the art from the embodiments given herein without making any creative effort, shall fall within the protection scope of the present invention.
The terminology used in the embodiments of the invention is for the purpose of describing particular embodiments only and is not intended to be limiting of the invention. As used in the examples of the present invention and the appended claims, the singular forms "a", "an", and "the" are intended to include the plural forms as well, unless the context clearly indicates otherwise, and "a plurality" typically includes at least two.
Examples
The embodiment relates to a temperature rise and fall transient load analysis method for a large aircraft climate environment laboratory, which specifically comprises the following steps:
s1, establishing an air heat load model taking the corrected temperature as a parameter, wherein the model formula is as follows:
in the formula:for the purpose of the air transient load,in order to be a model-modifying factor,is the volume of the air in the room,is the air density at normal temperature and pressure,is the specific heat coefficient of the air,for the numerical calculation of the current air temperature during the process,for numerically calculating the air temperature at the previous moment in the process,the air quality change caused by temperature change in the temperature rising/lowering process can be corrected, and the problem of large air transient load calculation deviation is solved;
s2, considering the laboratory situation, assuming the conditions: 1) the ambient air temperature outside the laboratory chamber does not change; 2) the temperature of the inner/outer surface of the heat-insulation board is respectively the same as the air temperature inside and outside the laboratory, and the heat load model of the heat-insulation board is established as follows:
in the formula:in order to provide the thermal load of the insulation board,is the heat transfer coefficient of the heat-insulating plate,is the surface area of the heat-insulating plate in the laboratory,is the thickness of the heat-preserving plate,the temperature of the inner surface of the current insulation board in the numerical calculation process is the same as the air temperature,the temperature of the outer surface of the current insulation board in the numerical calculation process is the same as the temperature of outdoor air;
s3, establish the heat load model of terrace, consider that the heat transfer mode of terrace and air in the laboratory is strong convection heat transfer form, the strong convection heat transfer coefficient between terrace and air is variable linear parameter in this method, and the functional relation between strong convection heat transfer coefficient and the air temperature is:
in the formula:in order to have a strong convective heat transfer coefficient,for the numerical calculation of the current air temperature during the process,in order to fix the constant of 29.28,is a linear factor with the value of 0.071,
the heat load model of the terrace is:
in the formula:in order to be the heat load of the terrace,in order to have a strong convective heat transfer coefficient,in order to provide a floor area for a laboratory,for the numerical calculation of the current air temperature during the process,the temperature of the top floor in the terrace;
s4, establishing a compensation fresh air heat load model, wherein the established compensation fresh air heat load model is as follows according to the characteristic that the air supply temperature of the compensation fresh air in the laboratory is a constant value:
in the formula:in order to compensate for the heat load of the fresh air,is the specific heat coefficient of the air,in order to compensate for the mass of the fresh air,for the purpose of numerically calculating the current air temperature,to compensate for fresh air temperature;
s5, establishing a steel structure heat load model, and setting the preconditions as follows: 1) the temperature of the steel structure is the same as the initial air temperature of the air in the laboratory; 2) the air temperature change rate in the steel structure and the laboratory is the same, and the following steel structure transient heat load model can be obtained according to a heat calculation formula:
in the formula:for the transient load of the steel structure,the mass of the steel structure is the weight of the steel structure,is the specific heat coefficient of the steel material,for numerically calculating the current steel structure temperature during the process,calculating the temperature of the steel structure at the previous moment in the process for the numerical value;
s6, establishing a fan thermal load model, wherein the effective power of the fan under the standard working condition is as follows:
in the formula:the effective power of the fan is the effective power of the fan,the air quantity of the fan is adopted,is a pressure head of the fan,in order to be a safety factor,
the air temperature variation range of the laboratory is-55 ℃ to +74 ℃, and according to the characteristics that the air output of a laboratory fan is large under a high-temperature working condition and small under a low-temperature working condition, the following variable working condition thermal load model is established:
in the formula:for heat load of fan,In order to increase the number of the fans,is the effective power of a single fan,calculating the current air temperature for the value;
s7, establishing a lighting heat load model with a constant value:
s8, because the maximum load of the laboratory is a large-scale transport airplane with C5, in order to accurately calculate the heat load, an airplane heat load model is established according to the convection heat exchange principle:
in the formula:in order to be a thermal load of the aircraft,in order to obtain a convective heat transfer coefficient,the surface area of the aircraft is,for the numerical calculation of the current air temperature during the process,is the temperature of the aircraft surface;
and S9, establishing a refrigeration/heating system model. According to the working mode of a refrigerating and heating system and the characteristics of cold quantity/heat quantity application selected by a laboratory, the following sectional type cold quantity/heat quantity model is established:
in the formula:the cold/heat provided to the refrigeration/heating system,as a coefficient of the margin, is,calculating the current air temperature for the value;
s10, establishing an indoor air temperature dynamic change equation, and assuming the conditions as follows: 1) the temperature of the steel structure is the same as the initial air temperature of the air in the laboratory; 2) the air temperature change rate in the steel structure and the laboratory is the same, and according to the assumption and the heat balance principle, the following air temperature dynamic differential equation is established:
in the formula:is air temperature versus timeThe rate of change of (a) is,is the temperature of the air in the room,is the temperature of the top-layer terrace,for the surface temperature of the aircraft as a load,is the set point of the air temperature,the cold/heat provided to the refrigeration/heating system,in order to provide the thermal load of the insulation board,in order to provide the heat load of the terrace,in order to compensate for the heat load of the fresh air,in order to provide a thermal load for the fan,in order to illuminate the heat load,which is indicative of the thermal load of the aircraft,in order to obtain the quality of the air in the room,、the specific heat coefficients of air and a steel structure respectively,the mass of the steel structure is the weight of the steel structure,representing a dynamic variation function of air temperature;
s11, according to the concrete structure and the weight of laboratory terrace, divide into 13 layers with the terrace, establish the terrace temperature dynamic change equation that is used for calculating the 1 st floor, 2 nd ~12 th floor, 13 th floor terrace temperature rate of change respectively to the temperature dynamic change equation of the terrace through 3 kinds of forms calculates respectively, and the temperature dynamic change equation of terrace is respectively:
the temperature change equation of the floor at the 1 st layer:
in the formula:for top floor temperature versus timeThe rate of change of (a) is,is the temperature of the air in the room,is the current temperature of the top floor level,is the current temperature of the lower floor level,in order to have a strong convective heat transfer coefficient,as to the density of the terrace,is the specific heat coefficient of the terrace,the thickness of the terrace is the thickness of the terrace,for the heat transfer coefficient of the terrace,the temperature change function of the grade level of the layer 1 is shown,
temperature change equation of 2 nd to 12 th floor:
in the formula: integer number ofHas a value range of,For middle floor temperature versus timeThe rate of change of (a) is,is the current temperature of the upper floor,is the current temperature of the intermediate floor level,is the current temperature of the next floor level,for the heat transfer coefficient of the terrace,the thickness of the terrace is the thickness of the terrace,as to the density of the terrace,is the specific heat coefficient of the terrace,
the 13 th floor temperature change equation:
in the formula:for insulating layer terrace temperature vs. timeThe rate of change of (a) is,is the current temperature of the 12 th floor,is the current temperature of the 13 th floor,for the heat transfer coefficient of the terrace,the thickness of the terrace is the thickness of the terrace,as to the density of the terrace,is the specific heat coefficient of the terrace,representing the temperature change function of the 13 th floor;
s12, establishing a temperature dynamic change equation of the airplane:
in the formula:for aircraft temperature versus timeThe rate of change of (a) is,is the convective heat transfer coefficient between the air and the aircraft,is the temperature of the air in the room,the surface area of the aircraft is,for the surface temperature of the aircraft as a load,is a planeThe amount of the compound (A) is,is the specific heat coefficient of the aircraft,representing a function of aircraft temperature dynamics;
s13, establishing an integral temperature dynamic change equation set:
in the formula:in the form of a temperature rate-of-change matrix,in the form of a temperature matrix, the temperature matrix,in the form of an initial temperature matrix, the temperature,it is the temperature of the air that is,in order to obtain the temperature of each floor,,is the aircraft surface temperature;is an initial temperature value;
s14, setting related parameters:
s14-1, setting target parameters: initial air temperature valueOutdoor air temperatureTarget temperature rise/fall;
S14-3, setting air parameters: volume of airSpecific heat coefficient of airAir densityCorrection factor;
S14-4, setting the parameters of the heat preservation plate: thickness ofCoefficient of heat transfer;
S14-5, setting floor parameters: floor areaSpecific heat coefficientDensity, densityCoefficient of heat transfer;
S14-6, setting compensation fresh air parameters: compensating for fresh air qualityCompensating fresh air temperature;
S14-7, setting steel structure parameters: quality of steel structureSpecific heat coefficient of steel material;
S14-8, setting fan parameters: number of fansAir quantity of fan(ii) a Draught fan pressure head(ii) a Factor of safety;
S14-9, setting airplane parameters: coefficient of convective heat transferAircraft surface areaSpecific heat coefficient of airplaneAircraft mass;
S15, solving a differential equation set and calculating the transient load: and (3) respectively substituting the parameters in the step (S14) into the steps (S10), (S11) and (S12), respectively calculating the air temperature change rate, the temperature change rate of each floor layer and the aircraft temperature change rate, introducing the air temperature change rate, the temperature change rate of each floor layer and the aircraft temperature change rate into the step (S13) to calculate the temperature change rate of the whole laboratory under the load condition, calculating the transient load, and calculating and determining the heat load data of each component structure and the load of the laboratory under the load condition according to the heat load models in the steps (S1-S8) by using the temperature data.
Examples of the experiments
The experimental example is a transient load calculation process under the condition of laboratory load of the climate environment of the large aircraft based on the embodiment:
the large aircraft climate environment laboratory is divided into a large chamber and a small chamber which are communicated with each other, and in the process of raising the temperature from minus 7 ℃ to plus 74 ℃ under the condition of carrying a large transport aircraft with the American grade C5, the parameters in the step S14 are firstly set:
s14-1, setting target parameters: initial air temperature valueOutdoor air temperatureTarget temperature rise/fall;
S14-2, setting laboratory size: heightWidth (big room)Length (big room)(ii) a Width (Small chamber)Length (cell);
S14-3, setting air parameters: volume of airSpecific heat coefficient of airAir densityCorrection factor;
S14-4, setting the parameters of the heat preservation plate: thickness ofCoefficient of heat transfer;
S14-5, setting floor parameters: specific heat coefficientDensity, densityCoefficient of heat transferFloor area;
S14-6, setting compensation fresh air parameters: compensating for fresh air qualityCompensating fresh air temperature;
S14-7, setting steel structure parameters: quality of steel structure(ii) a Specific heat coefficient of steel material;
S14-8, setting fan parameters: number of fansAir quantity of fan(ii) a Draught fan pressure head(ii) a Factor of safety;
S14-9, settingAirplane parameters: coefficient of convective heat transferAircraft surface areaAircraft mass;
Establishing a differential equation set according to the steps S10-S13, and calculating a temperature matrix according to the Runge-Kutta numerical method adopted in the step S15;
calculating the heat load of each component according to the temperature change matrix and steps S1-S8, wherein the load calculation results of the partial temperature points are as follows:
laboratory air temperature (C degree) -710.0203074
Time (hrs) 0.00.40.71.18.4
Indoor air load (kW) -2812.9-1797-1255.3-803.4-148.6
Terrace load (kW) is 0.0-1420.1-2248.1-3015.4-4190
Steel structure load (kW) -3763.8-2548.3-1842.11-1218.7-258.1
The load (kW) of the heat-insulating board is 57.8-0.5-37.473.7-235.5
Fan load (kW) 700.9661.7639.1618.3540.0
Lighting load (kW) 9090909090
Compensating air load (kW) 0.0-267.5-436.8-603.1-1345.2
Aircraft load (kW) 0.0-445.3-637.4-722.0-180.7.
Claims (8)
1. The method for analyzing the temperature rise and fall transient load of the large airplane in the climate environment laboratory is characterized by comprising the following steps of:
s1, establishing an air heat load model taking the corrected temperature as a parameter, wherein the model formula is as follows:
in the formula:for the purpose of the air transient load,in order to be a model-modifying factor,is the volume of the air in the room,is the air density at normal temperature and pressure,is the specific heat coefficient of the air,for the numerical calculation of the current air temperature during the process,calculating the air temperature at the previous moment in the process for the numerical value;
s2, considering the laboratory situation, setting the preconditions as: the temperature of the air outside the laboratory is not changed, and the temperature of the inner/outer surface of the heat-insulation plate is respectively the same as the temperature of the air inside and outside the laboratory, so that a heat load model of the heat-insulation plate is established;
s3, establishing a terrace heat load model:
in the formula:in order to be the heat load of the terrace,in order to have a strong convective heat transfer coefficient,in order to provide a floor area for a laboratory,for the numerical calculation of the current air temperature during the process,the temperature of the top floor in the terrace;
s4, establishing a wind heat load compensation model according to the characteristic that the air supply temperature of the laboratory compensation fresh air is a constant value;
s5, establishing a steel structure heat load model, and setting the preconditions as follows: the initial air temperature in the steel structure and the laboratory is the same and the air temperature change rate in the steel structure and the laboratory is the same, and according to a heat calculation formula, the following steel structure transient heat load model is obtained:
in the formula:for the transient load of the steel structure,the mass of the steel structure is the weight of the steel structure,is the specific heat coefficient of the steel material,for numerically calculating the current steel structure temperature during the process,calculating the temperature of the steel structure at the previous moment in the process for the numerical value;
s6, establishing a fan thermal load model, wherein the air temperature variation range of a laboratory is-55 to +74 ℃, and according to the characteristics that the air output of the laboratory fan is large under a high-temperature working condition and small under a low-temperature working condition, establishing the following variable working condition thermal load model:
in the formula:in order to provide a thermal load for the fan,in order to increase the number of the fans,is the effective power of a single fan,calculating the current air temperature for the value;
s7, establishing a lighting heat load model with a constant value;
s8, because the maximum load of the laboratory is a large-scale transport airplane with C5, in order to accurately calculate the heat load, an airplane heat load model is established according to the convection heat exchange principle:
in the formula:in order to be a thermal load of the aircraft,in order to obtain a convective heat transfer coefficient,the surface area of the aircraft is,for the numerical calculation of the current air temperature during the process,is the temperature of the aircraft surface;
s9, establishing a refrigeration/heating system model, and establishing the following sectional type refrigeration/heating model according to the refrigeration/heating system working mode and refrigeration/heating application characteristics selected by a laboratory:
in the formula:the cold/heat provided to the refrigeration/heating system,is a great marginThe coefficient of the quantity is,calculating the current air temperature for the value;
s10, establishing an indoor air temperature dynamic change equation, and setting the preconditions as follows: the initial air temperature of the steel structure in the laboratory is the same as that of the air in the laboratory, and the change rate of the air temperature of the steel structure in the laboratory is the same as that of the air in the laboratory, and according to the heat balance principle, the following air temperature dynamic differential equation is established:
in the formula:is air temperature versus timeThe rate of change of (a) is,is the temperature of the air in the room,is the temperature of the top-layer terrace,for the surface temperature of the aircraft as a load,is the set point of the air temperature,the cold/heat provided to the refrigeration/heating system,in order to provide the thermal load of the insulation board,in order to provide the heat load of the terrace,in order to compensate for the heat load of the fresh air,in order to provide a thermal load for the fan,in order to illuminate the heat load,which is indicative of the thermal load of the aircraft,in order to obtain the quality of the air in the room,、the specific heat coefficients of air and a steel structure respectively,the mass of the steel structure is the weight of the steel structure,representing a dynamic variation function of air temperature;
s11, according to the concrete structure and the weight of laboratory terrace, divide into 13 layers with the terrace, establish the terrace temperature dynamic change equation that is used for calculating the 1 st floor, 2~12 th floor, 13 th floor temperature rate of change respectively, the temperature dynamic change equation of terrace is respectively for in step S11:
the temperature change equation of the floor at the 1 st layer:
in the formula:for top floor temperature versus timeThe rate of change of (a) is,is the temperature of the air in the room,is the current temperature of the top floor level,is the current temperature of the lower floor level,in order to have a strong convective heat transfer coefficient,as to the density of the terrace,is the specific heat coefficient of the terrace,the thickness of the terrace is the thickness of the terrace,for the heat transfer coefficient of the terrace,the temperature change function of the grade level of the layer 1 is shown,
temperature change equation of 2 nd to 12 th floor:
in the formula: integer number ofHas a value range of,For middle floor temperature versus timeThe rate of change of (a) is,is the current temperature of the upper floor,is the current temperature of the intermediate floor level,is the current temperature of the next floor level,for the heat transfer coefficient of the terrace,the thickness of the terrace is the thickness of the terrace,as to the density of the terrace,is the specific heat coefficient of the terrace,
the 13 th floor temperature change equation:
in the formula:for insulating layer terrace temperature vs. timeThe rate of change of (a) is,is the current temperature of the 12 th floor,is the current temperature of the 13 th floor,for the heat transfer coefficient of the terrace,the thickness of the terrace is the thickness of the terrace,as to the density of the terrace,is the specific heat coefficient of the terrace,representing the temperature change function of the 13 th floor;
s12, establishing a temperature dynamic change equation of the airplane:
in the formula:for aircraft temperature versus timeThe rate of change of (a) is,is the convective heat transfer coefficient between the air and the aircraft,is the temperature of the air in the room,the surface area of the aircraft is,for the surface temperature of the aircraft as a load,in order to be the mass of the aircraft,is the specific heat coefficient of the aircraft,representing a function of aircraft temperature dynamics;
s13, establishing an integral temperature dynamic change equation set:
in the formula:in the form of a temperature rate-of-change matrix,in the form of a temperature matrix, the temperature matrix,in the form of an initial temperature matrix, the temperature,it is the temperature of the air that is,in order to obtain the temperature of each floor,,is the aircraft surface temperature;is an initial temperature value;
s14, setting relevant parameters;
s15, substituting the parameters in step S14 into step S10, step S11, and step S12, respectively, obtaining the air temperature change rate, the floor-level layer temperature change rate, and the airplane temperature change rate, respectively, then importing the air temperature change rate, the floor-level layer temperature change rate, and the airplane temperature change rate into step S13 to obtain the temperature change rate of the entire laboratory under load, and then calculating the transient load.
2. The method for analyzing the transient load of the climate environment laboratory of the large aircraft as claimed in claim 1, wherein the thermal load model of the thermal insulation board in the step S2 is:
in the formula:in order to provide the thermal load of the insulation board,is the heat transfer coefficient of the heat-insulating plate,is the surface area of the heat-insulating plate in the laboratory,is the thickness of the heat-preserving plate,the temperature of the inner surface of the current insulation board in the numerical calculation process is the same as the air temperature,the temperature of the outer surface of the current insulation board in the numerical calculation process is the same as the temperature of outdoor air.
3. The method for analyzing the transient load of the climate environment laboratory of the large aircraft as claimed in claim 1, wherein the heat transfer coefficient of strong convection between the floor and the air in the step S3 is a variable linear parameter, and the function relationship between the heat transfer coefficient of strong convection and the air temperature is as follows:
4. The method for analyzing the transient load of the climate environment laboratory of the large aircraft as claimed in claim 1, wherein the model for compensating the wind-heat load established in step S4 is:
5. The method for analyzing the transient load of the climate environment laboratory of the large aircraft according to claim 1, wherein the effective power of the fan under the standard working condition in the step S6 is as follows:
7. The method for analyzing the temperature-rise and drop transient load of the climate environment laboratory of the large aircraft as claimed in claim 1, wherein the setting procedure of the step S14 for the parameters is as follows:
s14-1, setting target parameters: initial air temperature valueOutdoor air temperatureTarget temperature rise/fall;
S14-3, setting air parameters: volume of airSpecific heat coefficient of airAir densityCorrection factor;
S14-4, setting the parameters of the heat preservation plate: thickness ofCoefficient of heat transfer;
S14-5, setting floor parameters: floor areaSpecific heat coefficientDensity, densityCoefficient of heat transfer;
S14-6, setting compensation fresh air parameters: compensating for fresh air qualityCompensating fresh air temperature;
S14-7, setting steel structure parameters: quality of steel structureSpecific heat coefficient of steel material;
S14-8, setting fan parameters: number of fansAir quantity of fan(ii) a Draught fan pressure head(ii) a Factor of safety;
S14-9, setting airplane parameters: coefficient of convective heat transferAircraft surface areaSpecific heat coefficient of airplaneAircraft mass;
8. The method for analyzing the transient load of the laboratory in the climate environment of the large aircraft as claimed in claim 1, wherein in step S15, the system of differential equations of S10 to S13 is solved by using a longguta numerical method, and after numerical calculation results of the air temperature, the temperature of each floor layer and the aircraft temperature are obtained, the temperature data are used to calculate and determine the thermal load data of each component structure and load of the laboratory under the condition of load according to the thermal load model of steps S1 to S8.
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