CN106765745B - The method for determining radiation cooling system radiant panel surface temperature variation when supplying water heating - Google Patents
The method for determining radiation cooling system radiant panel surface temperature variation when supplying water heating Download PDFInfo
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- CN106765745B CN106765745B CN201611062556.9A CN201611062556A CN106765745B CN 106765745 B CN106765745 B CN 106765745B CN 201611062556 A CN201611062556 A CN 201611062556A CN 106765745 B CN106765745 B CN 106765745B
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- radiant panel
- surface temperature
- panel surface
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- F—MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
- F24—HEATING; RANGES; VENTILATING
- F24F—AIR-CONDITIONING; AIR-HUMIDIFICATION; VENTILATION; USE OF AIR CURRENTS FOR SCREENING
- F24F5/00—Air-conditioning systems or apparatus not covered by F24F1/00 or F24F3/00, e.g. using solar heat or combined with household units such as an oven or water heater
- F24F5/0089—Systems using radiation from walls or panels
-
- F—MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
- F24—HEATING; RANGES; VENTILATING
- F24F—AIR-CONDITIONING; AIR-HUMIDIFICATION; VENTILATION; USE OF AIR CURRENTS FOR SCREENING
- F24F11/00—Control or safety arrangements
- F24F11/30—Control or safety arrangements for purposes related to the operation of the system, e.g. for safety or monitoring
-
- F—MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
- F24—HEATING; RANGES; VENTILATING
- F24F—AIR-CONDITIONING; AIR-HUMIDIFICATION; VENTILATION; USE OF AIR CURRENTS FOR SCREENING
- F24F11/00—Control or safety arrangements
- F24F11/62—Control or safety arrangements characterised by the type of control or by internal processing, e.g. using fuzzy logic, adaptive control or estimation of values
-
- F—MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
- F24—HEATING; RANGES; VENTILATING
- F24F—AIR-CONDITIONING; AIR-HUMIDIFICATION; VENTILATION; USE OF AIR CURRENTS FOR SCREENING
- F24F2110/00—Control inputs relating to air properties
-
- F—MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
- F24—HEATING; RANGES; VENTILATING
- F24F—AIR-CONDITIONING; AIR-HUMIDIFICATION; VENTILATION; USE OF AIR CURRENTS FOR SCREENING
- F24F2110/00—Control inputs relating to air properties
- F24F2110/10—Temperature
-
- F—MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
- F24—HEATING; RANGES; VENTILATING
- F24F—AIR-CONDITIONING; AIR-HUMIDIFICATION; VENTILATION; USE OF AIR CURRENTS FOR SCREENING
- F24F11/00—Control or safety arrangements
- F24F11/62—Control or safety arrangements characterised by the type of control or by internal processing, e.g. using fuzzy logic, adaptive control or estimation of values
- F24F11/63—Electronic processing
- F24F11/64—Electronic processing using pre-stored data
-
- F—MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
- F24—HEATING; RANGES; VENTILATING
- F24F—AIR-CONDITIONING; AIR-HUMIDIFICATION; VENTILATION; USE OF AIR CURRENTS FOR SCREENING
- F24F2140/00—Control inputs relating to system states
- F24F2140/20—Heat-exchange fluid temperature
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- Engineering & Computer Science (AREA)
- Chemical & Material Sciences (AREA)
- General Engineering & Computer Science (AREA)
- Mechanical Engineering (AREA)
- Combustion & Propulsion (AREA)
- Life Sciences & Earth Sciences (AREA)
- Atmospheric Sciences (AREA)
- Signal Processing (AREA)
- Mathematical Physics (AREA)
- Fuzzy Systems (AREA)
- Physics & Mathematics (AREA)
- Sustainable Development (AREA)
- Air Conditioning Control Device (AREA)
Abstract
The present invention relates to a kind of methods of radiation cooling system radiant panel surface temperature variation when determining water supply heating, comprising steps of determining the influence factor of radiant panel surface temperature variation and the variation range of each factor according to radiation cooling air-conditioning system actual motion condition；According to the influence factor of determining radiant panel surface temperature changing rule and the variation range of each factor, radiant panel table temperature situation of change when heating up that supplies water under different affecting factors is simulated with ANSYS software, obtains sample data；Radiant panel surface temperature variation prediction model when supplying water heating is obtained with statistical analysis program sample data regression analysis based on SAS software.The prediction result accuracy that regression analysis of the present invention obtains is higher, and control system is simple, and real-time control may be implemented, and is suitable for applying in the control of residential buildings system.
Description
Technical field
The invention belongs to radiation cooling technical fields, and in particular to determine radiation cooling system radiant panel table when heating up that supplies water
The method of face temperature change.
Background technique
Radiation cooling air-conditioning system has comfort good compared with traditional air-conditioning system, and no blowing feeling is noiseless, indoor
Uniform distribution of temperature field, energy saving advantage.Radiation cooling air-conditioning system realizes independent temperature-humidity control, solves temperature and humidity coupling
Energy waste problem caused by conjunction.Under identical thermal and humidity environment, using radiation cooling air-conditioning system, human thermal comfort sense is identical
Under the premise of, it can be improved 1-2 DEG C of indoor design temperature.Currently, the supply water temperature of China's radiation cooling air-conditioning system is generally
16 DEG C, return water temperature is 18 DEG C, and therefore, radiation cooling air-conditioning system provides possibility for the utilization of low-grade cold source, is presented
Its energy-efficient advantage.Based on radiation cooling air conditioner system energy saving and comfortable advantage, environmental problem is solved, country is responded and establishes money
Source economizing type and environmentally friendly strategy, radiation cooling air-conditioning system become the preferred air-conditioning of low energy building and green building
One of system form has broad application prospects.
Compared with traditional air-conditioning system, radiation cooling air-conditioning system possesses the cold emission surface of large area, therefore moisture condensation is
Its maximum problem.In radiation cooling air-conditioning system, cold emission face condenses in order to prevent, radiant panel surface temperature and patch
Attached layer dew-point temperature needs certain temperature difference, i.e., the safe temperature difference.When the difference of radiant panel surface temperature and associated layer dew-point temperature is small
When the safe temperature difference of setting, the cold surface of air-conditioning system just will appear the risk of moisture condensation.It is empty in actual radiation cooling
In adjusting system, the safe temperature difference has been set, and is generally immobilized, when indoor humidity load increases suddenly, indoor patch floating layer dew point
Temperature can rise with it, and in the case where not taking any measure, cold emission surface will appear dew condensation phenomenon.Therefore, it is studying
On the basis of radiation cooling room moisture diffusion property, humidity hierarchical nature and associated layer dew-point temperature dynamic change, having must
The radiant panel surface temperature changing rule by improving supply water temperature anti-condensation is disclosed, is provided to improve supply water temperature anti-condensation
Technical support.
Summary of the invention
Radiation when a kind of determining supply water temperature increases is provided and is supplied it is an object of the invention to solve above-mentioned technical problem
The method of cooling system radiant panel surface temperature variation.
To achieve the above object, the present invention adopts the following technical scheme:
The method for determining radiation cooling system radiant panel surface temperature variation when supplying water heating, comprising the following steps:
1) according to radiation cooling air-conditioning system actual motion condition, determine the variation of radiant panel surface temperature influence factor and
The variation range of each factor；
2) variation range of the influence factor and each factor of the radiant panel surface temperature changing rule determined according to step 1),
Radiant panel table temperature situation of change when simulating supply water temperature raising under different affecting factors with ANSYS software, obtains sample
Data；
3) it is based on SAS software, regression analysis is carried out to the sample data that step 2) obtains with statistical analysis program and is obtained
Radiant panel surface temperature variation prediction model when supply water temperature increases.
In step 1), the influence factor of the radiant panel surface temperature variation includes indoor environment temperature ta, table in exterior window
Face temperature twin, non-cooling supply inner surface mean temperature taverage。
Wherein, radiant panel surface temperature variation prediction model is as follows when the supply water temperature increases:
tp=-1.82173e-τ+0.30414ta+0.15160taverage+0.02339twin+0.42719Δtw+9.34133
tpFor radiant panel surface temperature, unit DEG C,
τ is time τ ∈ [0,40], the unit min after radiant panel supply water temperature improves,
taFor indoor environment temperature, unit DEG C,
taverageFor non-cooling supply average surface temperature, unit DEG C,
twinFor exterior window internal surface temperature, unit DEG C,
ΔtwFor supply water temperature variation, unit DEG C.
The present invention is by determining the shadow of radiant panel surface temperature variation according to radiation cooling air-conditioning system actual motion condition
The variation range of the factor of sound and each factor, radiant panel when then heating up with water supply under ANSYS software simulation different affecting factors
Table temperature situation of change obtains sample data, then is based on SAS software, with statistical analysis program to the sample data of acquisition
Regression analysis is carried out, radiant panel surface temperature changing rule when determining prediction model to obtain water supply heating, regression analysis obtains
Prediction result accuracy it is higher, control system is simple, and real-time control may be implemented, be suitable for residential buildings system control
Middle application；It may be implemented with this prediction model when humidity load increases suddenly, it is effectively anti-by real-time control supply water temperature
Only radiant panel surface sweating, and determine that the Best Times for improving supply water temperature subtract so as to give full play to the cooling ability of system
Few energy dissipation.
Detailed description of the invention
Fig. 1 is radiation cooling system schematic；
Fig. 2 is radiant panel surface temperature versus time curve figure when supply water temperature increases.
Specific embodiment
In the following, in conjunction with example, property feature and advantage is further described for the essence of the present invention, but the present invention not office
It is limited to listed embodiment.
It is shown in Figure 1, radiation cooling system of the present invention, including radiant panel, the circulation waterway with the radiant panel
The plate heat exchanger 4 of connection, wherein plate heat exchanger 4 water inlet connection water segregator a water outlet, water segregator it is another
The water inlet of a water outlet connection Fresh air handling units, the water inlet of the water outlet connection water segregator of water cooler, water segregator is by cold water
The moisture of unit exchanges heat to plate heat exchanger and Fresh air handling units；Plate heat exchanger 4, Fresh air handling units water return outlet respectively with
Two return water water inlets of water collector connect, and the water return outlet of water cooler is separately connected the return water water outlet of water collector, water collector
Water cooler will be returned to from the return water of Fresh air handling units and plate heat exchanger；The circulatory system formed above.
Object of the present invention is to determine that it radiates plate surface temperature when supply water temperature increases for above-mentioned radiation cooling system
The changing rule of degree.
The present invention passes through the time after studying radiant panel surface temperature and improving with radiant panel supply water temperature, indoor environment temperature
Interaction relationship between degree, indoor non-cooling supply average surface temperature, exterior window internal surface temperature and supply water temperature variation, with reality
Testing with numerical simulation result is sample data, with the multi-variate statistical analysis based on SAS, proposes to supply with the method for linear regression
Radiant panel surface temperature variation prediction model after coolant-temperature gage improves becomes to obtain radiant panel surface temperature when supply water temperature improves
The rule of change.
Specifically, the present invention is carried out using following methods:
1) influence factor of radiant panel surface temperature variation is determined
Because different thermal environment parameters, which are depended primarily on, influences significant factor to radiant panel surface temperature, accordingly, it is determined that
Radiant panel surface temperature changing rule need to consider the influence of radiant panel surface temperature changing rule when improving supply water temperature anti-condensation
Factor.
From the heat exchange angle analysis of radiant panel, the factor for influencing radiant panel surface temperature is roughly divided into three parts: water supply side
Factor, capillary network radiant panel side factor and indoor and outdoor surroundings side factor.
(1) water supply side of radiant panel surface temperature variation is influenced because being known as: the physical parameter of water, supply water temperature, return water temperature
Degree.Radiant panel return water temperature is as supply water temperature changes, therefore the two is non-independent variable, and supply and return water temperature difference is general to be kept
At 2 DEG C, the physical parameter of water is varied less within this range, can ignore its influence.Therefore, supply water temperature twIt is to influence radiation
One of the principal element of plate surface temperature change.
(2) influence the capillary network radiant panel side of radiant panel surface temperature variation because being known as: capillary and radiant panel are led
Hot coefficient, capillary caliber, tube spacing radiate plate thickness, and the synthesis between indoor environment temperature and radiant panel and indoor environment is changed
Hot coefficient.These parameters are all related with the installation of radiant panel, and therefore, the influence to radiant panel surface temperature can be considered constant.
(3) the indoor and outdoor surroundings side of radiant panel surface temperature is influenced because being known as: indoor environment temperature ta, exterior window inner surface temperature
Spend twin, non-cooling supply inner surface mean temperature taverage。
To sum up, the influence factor and variation range that can obtain radiant panel surface temperature changing rule, see the table below.
Illustrate, supply water temperature twAccording to " radiation cooling heating technology regulation " value, indoor environment temperature taAccording to HVAC sky
It adjusts in design specification to civilian office Interior design of architecture parameter value, exterior window internal surface temperature twinAccording to test Area during Summer
Outdoor calculating temperature value, non-cooling supply average surface temperature (not including exterior window) taverageReferring to non-cooling supply surface face in ASHRAE
Area weighted temperature AUST value.
2) sample data is obtained using the simulation of ANSYS software
The factor that indoor thermal environment is influenced it can be seen from analyzing above is numerous, and influences each other between each factor.Foundation
The analysis of the fixed experimental bench of existing radiant panel and influence factor, determines experimental method.According to determining experimental program, use
The situation of change of radiant panel surface temperature and reach stable state under ANSYS software simulation different affecting factors (i.e. temperature does not go out
Now fluctuate) the time required to, to obtain sample data.
ANSYS software is modular dynamic simulation program, when to system sunykatuib analysis, as long as realizing these by calling
The module of specific function gives suitable boundary condition and primary condition, so that it may carry out sunykatuib analysis to the dynamic change of system.
Different experiment conditions can be realized only by boundary condition and primary condition is changed.
3) it is based on SAS software, regression analysis is carried out to sample data with statistical analysis program, supply water temperature is obtained and increases
The prediction model that radiant panel surface temperature changes when anti-condensation.
It through returning, can be seen that by the results of analysis of variance, radiant panel surface temperature when supply water temperature increases under different thermal environments
Changing rule regression equation entirety conspicuousness, the P value examined is far smaller than 0.001 (< .0001), regression equation it is whole
Body highly significant.The goodness of fit coefficient of determination and goodness of fit adjusted coefficient of determination of equation are respectively 0.8685 and 0.8675,
Fitting degree is higher.It can be seen that by the result that the coefficient before independent variable each in regression equation carries out parameter Estimation, each factor to affect
Radiant panel surface temperature is influenced significant.
Radiant panel surface temperature variation prediction model is as follows when the supply water temperature finally obtained increases:
tp=-1.82173e-τ+0.30414ta+0.15160taverage+0.02339twin+0.42719Δtw+9.34133
tpFor radiant panel surface temperature, unit DEG C,
τ is time τ ∈ [0,40], the unit min after radiant panel supply water temperature improves,
taFor indoor environment temperature, unit DEG C,
taverageFor non-cooling supply average surface temperature, unit DEG C,
twinFor exterior window internal surface temperature, unit DEG C,
ΔtwFor supply water temperature variation, unit DEG C.
The above is only a preferred embodiment of the present invention, it is noted that for the ordinary skill people of the art
For member, various improvements and modifications may be made without departing from the principle of the present invention, these improvements and modifications are also answered
It is considered as protection scope of the present invention.
Claims (1)
1. the method for determining radiation cooling system radiant panel surface temperature variation when supplying water heating, which is characterized in that including following
Step:
1) according to radiation cooling air-conditioning system actual motion condition, determine the variation of radiant panel surface temperature influence factor and it is each because
The variation range of element；
2) variation range of the influence factor and each factor of the radiant panel surface temperature changing rule determined according to step 1), is used
ANSYS software simulates radiant panel surface temperature situation of change when supply water temperature increases under different affecting factors, obtains sample data；
3) it is based on SAS software, regression analysis is carried out to the sample data that step 2) obtains with statistical analysis program and is supplied water
Radiant panel surface temperature variation prediction model when temperature increases；
In step 1), the influence factor of the radiant panel surface temperature variation includes indoor environment temperature ta, exterior window internal surface temperature
twin, non-cooling supply inner surface mean temperature taverage；
Radiant panel surface temperature variation prediction model is as follows when the supply water temperature increases:
tp=-1.82173e-τ+0.30414ta+0.15160taverage+0.02339twin+0.42719Δtw+9.34133
tpFor radiant panel surface temperature, unit DEG C,
τ is time τ ∈ [0,40], the unit min after radiant panel supply water temperature improves,
taFor indoor environment temperature, unit DEG C,
taverageFor non-cooling supply average surface temperature, unit DEG C,
twinFor exterior window internal surface temperature, unit DEG C,
ΔtwFor supply water temperature variation, unit DEG C.
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| CN201611062556.9A CN106765745B (en) | 2016-11-28 | 2016-11-28 | The method for determining radiation cooling system radiant panel surface temperature variation when supplying water heating |
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| Publication number | Priority date | Publication date | Assignee | Title |
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| CN107255331A (en) * | 2017-07-26 | 2017-10-17 | 天津商业大学 | The method for determining relation between radiant panel surface temperature and each factor of influence |
| CN109682037A (en) * | 2018-12-29 | 2019-04-26 | 天津商业大学 | Adjust the method that water supply flow determines the radiation air-conditioner anti-condensation best safety temperature difference |
| CN109682036A (en) * | 2018-12-29 | 2019-04-26 | 天津商业大学 | A method of it adjusting coolant-temperature gage and determines the radiation air-conditioner anti-condensation best safety temperature difference |
Citations (5)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| KR101307385B1 (en) * | 2012-07-27 | 2013-09-11 | 주식회사 경동나비엔 | Method for controlling integrated operation of complex cooling and heating air conditioner |
| CN104976734A (en) * | 2014-04-10 | 2015-10-14 | 珠海格力电器股份有限公司 | Control method and system of radiant cooling air-conditioning system |
| CN105404771A (en) * | 2015-11-06 | 2016-03-16 | 天津商业大学 | Method for determining dynamic change rule of dew point temperature of attached layer of radiant ceiling |
| CN105444342A (en) * | 2014-09-26 | 2016-03-30 | 浙江永德信铜业有限公司 | Plane cold and heat radiation constant-temperature and anti-condensation control system and method thereof |
| CN106016543A (en) * | 2016-06-30 | 2016-10-12 | 清华大学 | Cold radiation plate, cold radiation system and control method thereof |
-
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- 2016-11-28 CN CN201611062556.9A patent/CN106765745B/en not_active Expired - Fee Related
Patent Citations (5)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| KR101307385B1 (en) * | 2012-07-27 | 2013-09-11 | 주식회사 경동나비엔 | Method for controlling integrated operation of complex cooling and heating air conditioner |
| CN104976734A (en) * | 2014-04-10 | 2015-10-14 | 珠海格力电器股份有限公司 | Control method and system of radiant cooling air-conditioning system |
| CN105444342A (en) * | 2014-09-26 | 2016-03-30 | 浙江永德信铜业有限公司 | Plane cold and heat radiation constant-temperature and anti-condensation control system and method thereof |
| CN105404771A (en) * | 2015-11-06 | 2016-03-16 | 天津商业大学 | Method for determining dynamic change rule of dew point temperature of attached layer of radiant ceiling |
| CN106016543A (en) * | 2016-06-30 | 2016-10-12 | 清华大学 | Cold radiation plate, cold radiation system and control method thereof |
Non-Patent Citations (1)
| Title |
|---|
| 《地板辐射供冷系统地面温度的确定》;李常河;《低温建筑技术》;20050430;94-95 * |
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