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CN106594964A - Control method for controlling operation of air conditioning system and air conditioning system - Google Patents

Control method for controlling operation of air conditioning system and air conditioning system
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Publication number
CN106594964A
CN106594964ACN201610973043.7ACN201610973043ACN106594964ACN 106594964 ACN106594964 ACN 106594964ACN 201610973043 ACN201610973043 ACN 201610973043ACN 106594964 ACN106594964 ACN 106594964A
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China
Prior art keywords
heat exchanger
threshold
control method
conditioning system
heat
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CN201610973043.7A
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CN106594964B (en
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刘思源
黄凯亮
程琦
钟海玲
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Gree Electric Appliances Inc of Zhuhai
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Gree Electric Appliances Inc of Zhuhai
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Abstract

The invention relates to a control method for controlling the operation of an air conditioning system and an air conditioning system. According to an aspect of the present invention, a control method for controlling an operation of an air conditioning system (AC) is provided. An air conditioning system (AC) comprises a first heat exchanger (10) and a second heat exchanger (30) arranged in a circulation Circuit (CL) of the air conditioning system (AC), a working fluid in the circulation Circuit (CL) flowing through the first heat exchanger (10) absorbing heat and flowing through the second heat exchanger (30) releasing heat. The control method comprises the following steps: a first heat exchanger detection step, namely, detecting the operation parameters of the first heat exchanger (10); and a second heat exchanger adjusting step of adjusting the operation of the second heat exchanger (30) in accordance with the operating parameter of the first heat exchanger (10), thereby changing the operating parameter of the first heat exchanger (10) to a predetermined parameter range. According to the present invention, the freezing prevention performance and/or the cooling capability adjustment performance of the air conditioning system can be improved.

Description

For controlling the control method and air-conditioning system of the operation of air-conditioning system
Technical field
The present invention relates to field of air conditioning, and in particular to make in terms of the antifreeze and/or refrigerating capacity regulation of air-conditioning systemA kind of improved control method for controlling the operation of air-conditioning system and a kind of associated air-conditioning system.
Background technology
Under low ring environment temperature case, using compression refrigeration cycle air-conditioning system is affected by environment and reliabilityIt is poor.Now, the air-conditioning system with natural cooling closed circuit can be generally adopted to provide refrigeration.Following with natural coolingIn the air-conditioning system of loop back path, refrigerant (working fluid) is condensed in such as finned heat exchanger, so as to environment heat exchange and by heatAmount is transferred in environment.Afterwards, during refrigerant is pressurized subsequently into such as case tube heat exchanger by refrigerant pump to refrigerant, so as to by packageThe heat of water is taken away in heat exchanger (shell-tube evaporator), is achieved in refrigeration.However, following with natural cooling due to adoptingEnvironment temperature is relatively low when the air-conditioning system of loop back path provides refrigeration, relatively low hence into the temperature of the refrigerant of case tube heat exchanger,Thus there is the hidden danger of bursting by freezing heat exchanger tube.
Here, it is noted that the technology contents provided in this part are intended to contribute to those skilled in the art coupleThe understanding of the present invention, and not necessarily constitute prior art.
The content of the invention
In order to solve or mitigating at least one of the problems referred to above in the presence of correlation technique problem, the present invention provides onePlant the control method and a kind of associated air-conditioning system for controlling the operation of air-conditioning system, it is intended to improve the anti-of air-conditioning systemFreeze performance and/or refrigerating capacity regulation performance.
According to an aspect of the present invention, there is provided a kind of control method for controlling the operation of air-conditioning system.The skyAdjusting system includes the First Heat Exchanger and the second heat exchanger being arranged in the closed circuit of the air-conditioning system, the closed circuitIn operating fluid crosses described in First Heat Exchanger and absorb heat and flow through second heat exchanger and discharge heat.It is describedControl method is comprised the following steps:First Heat Exchanger detecting step, i.e. the operational factor of the detection First Heat Exchanger;AndSecond heat exchanger regulating step, i.e. the operation of second heat exchanger is adjusted according to the operational factor of the First Heat Exchanger, byThis changes the operational factor of the First Heat Exchanger to predefined parameter scope.
Preferably, in above-mentioned control method, the First Heat Exchanger detecting step includes:Detect the First Heat ExchangerPressure and/or temperature.
Preferably, in above-mentioned control method:The First Heat Exchanger is evaporimeter, and, the First Heat Exchanger inspectionSurveying step includes:Detect the evaporating pressure and/or evaporating temperature of the First Heat Exchanger.
Preferably, in above-mentioned control method, in the case where the evaporating pressure of the First Heat Exchanger is detected, described theTwo heat exchanger regulating steps include:When the detection evaporating pressure of the First Heat Exchanger is less than or equal to first threshold, reduce instituteThe heat exchange area of the second heat exchanger is stated, and the detection evaporating pressure for working as the First Heat Exchanger is more than or equal to than the first thresholdDuring big Second Threshold, increase the heat exchange area of second heat exchanger.
Preferably, in above-mentioned control method:Second heat exchanger includes the heat exchanger of multiple stage second being connected in parallel, withAnd, the second heat exchanger regulating step includes:When the detection evaporating pressure of the First Heat Exchanger is less than or equal to described firstDuring threshold value, the unlatching number of units of second heat exchanger is reduced to reduce the heat exchange area of second heat exchanger, when described theWhen the detection evaporating pressure of one heat exchanger is more than or equal to the Second Threshold, increase the unlatching number of units of second heat exchanger so as toIncrease the heat exchange area of second heat exchanger.
Preferably, in above-mentioned control method:Second heat exchanger includes heat exchange blower fan, and, detecting described theIn the case of the evaporating pressure of one heat exchanger, the second heat exchanger regulating step includes:When the detection of the First Heat ExchangerWhen evaporating pressure is less than or equal to first threshold, reduce the rotating speed of the heat exchange blower fan, and the detection for working as the First Heat Exchanger is steamedWhen sending out pressure more than or equal to the Second Threshold bigger than the first threshold, increase the rotating speed of the heat exchange blower fan.
Preferably, in above-mentioned control method, the first threshold corresponds to such value, when the First Heat ExchangerThere is bursting by freezing in the First Heat Exchanger when evaporating pressure is less than the value, and the Second Threshold corresponds to such value, when described theThere is cooling deficiency in the air-conditioning system when evaporating pressure of one heat exchanger is more than the value.
Preferably, in above-mentioned control method:The air-conditioning system also includes being arranged on being located in the closed circuitThe upstream of the First Heat Exchanger and positioned at the pump in the downstream of second heat exchanger, and, the control method also includes pumpRegulating step --- when the detection evaporating pressure of the First Heat Exchanger is less than or equal to the first threshold, reduce the pumpPumpability, and when the detection evaporating pressure of the First Heat Exchanger is more than or equal to the Second Threshold, increase the pumpPumpability.
Preferably, in above-mentioned control method:The pump is variable frequency pump, and, the pump regulating step includes:When describedWhen the detection evaporating pressure of First Heat Exchanger is less than or equal to first threshold, reduce the operating frequency of the pump, and work as described firstWhen the detection evaporating pressure of heat exchanger is more than or equal to the Second Threshold bigger than the first threshold, increase the work frequency of the pumpRate.
Preferably, in above-mentioned control method:The air-conditioning system also includes being arranged on being located in the closed circuitThe valve of the upstream of the First Heat Exchanger, and, the control method also includes valve regulation step --- when the First Heat ExchangerDetection evaporating pressure when being less than or equal to first threshold, reduce the aperture of the valve, and the detection for working as the First Heat Exchanger is steamedWhen sending out pressure more than or equal to the Second Threshold, increase the aperture of the valve.
Preferably, in above-mentioned control method, the second heat exchanger regulating step includes:Changing second heat exchangeAfter the heat exchange area of device, when the detection evaporating pressure of the First Heat Exchanger changes to more than the first threshold and less than instituteWhen stating three value of Second Threshold, the heat exchange area for making second heat exchanger recovers to former heat exchange area.
According to a further aspect in the invention, there is provided a kind of air-conditioning system.The air-conditioning system includes control device, the controlDevice processed as described above control method controlling the operation of the air-conditioning system.
Preferably, in above-mentioned air-conditioning system, the air-conditioning system is air cooling cold water air conditioning group, and the closed circuit isNatural cooling closed circuit.
According to the present invention, by detecting that then the operational factor of First Heat Exchanger is adjusted according to the operational factor of First Heat ExchangerSave the operation of the second heat exchanger and/or adjust pumpability of pump etc., can solve the problem that (low temperature) natural cooling circulatorCase tube heat exchanger hypotony temperature is too low so as to the problem for package bursting by freezing occur during group operation, thereby guarantees that unit operation reliabilityProperty.On the other hand, by the heat exchange area of the second heat exchanger of change, the rotating speed of the heat exchange blower fan for changing the second heat exchanger, changeThe aperture (the especially co-operatings of these modes) of the rotating speed of pump and/change valve, can be reliably achieved air-conditioning system with certainlyThe reliable adjustment (such as adjusting between 10%-100%) of refrigerating capacity when so cooling down circular flow.Further aspect, due to adoptingWith variable frequency pump, compared with using the scheme for determine frequency pump, can solve when natural cooling Cycle Unit is run determine frequency pump capacity withoutMethod adjusts and determines the normally opened normal pass of frequency pump and affect the reliability of pump while affecting the problem of client's comfortableness.
Description of the drawings
By referring to the drawings to the detailed description of embodiment of the present invention, the above-mentioned and other mesh of the present invention, feature and advantage will be apparent from, in the accompanying drawings:
Fig. 1 is the structured flowchart for illustrating air-conditioning system of the invention.
Specific embodiment
With reference to the accompanying drawings, describe the present invention by illustrative embodiments.To the following detailed of the present inventionCarefully describe merely for the sake of illustration purpose, and be definitely not to the present invention and its application or the restriction of purposes.
It is Fig. 1 (Fig. 1 be illustrate air-conditioning system of the invention structured flowchart) with reference to the unique figure of the application, according toAir-conditioning system AC of the present invention includes that the First Heat Exchanger 10 and second being arranged in the closed circuit CL of air-conditioning system AC exchanges heatDevice 30.
The working fluid circulated in closed circuit CL can flow through First Heat Exchanger 10 and can change firstHeat (that is, cold being discharged to environment) is absorbed in hot device 10.The working fluid circulated in closed circuit CL can flowThe second heat exchangers of Jing 30 and heat (that is, receive from environment to cold) can be discharged in the second heat exchanger 30.
Air-conditioning system AC can be air cooling cold water air conditioning group.Specifically, the second heat exchanger 30 can carry out heat with airExchange and heat is discharged into air, and First Heat Exchanger 10 can carry out heat exchange with water and absorb the heat in water so as toThere is provided cold water thus can be to indoor offer cold air by cold water.Closed circuit CL can be natural cooling closed circuit,In this case, the devices such as compressor can be for example omitted in closed circuit CL.
In some instances, First Heat Exchanger 10 can be evaporimeter, and the second heat exchanger 30 can be condenser.EspeciallyGround, First Heat Exchanger 10 can be case tube heat exchanger such as shell-tube evaporator, and the second heat exchanger 30 can be finned heat exchangerSuch as fin condenser.It will be appreciated, however, that according to the present invention, the heat exchanger 30 of First Heat Exchanger 10 and second can also be itThe heat exchanger of its type, for example, in the heat exchanger 30 of First Heat Exchanger 10 and second, working fluid can veritably not experienceEvaporation process and condensation process.In this case it is possible, for example, to using water as working fluid, and sky of the inventionThe purpose of adjusting system essentially consists in the reliable adjustment of refrigerating capacity.
In the example shown in the series of figures, the second heat exchanger 30 can include the heat exchanger of multiple stage second being connected in parallel.Per platform secondHeat exchanger is provided with corresponding control valve 34.When the unlatching of valve 34 is controlled, corresponding second heat exchanger 30 of operating fluid crosses, fromAnd the overall heat exchange area of the second heat exchanger 30 can be increased.When the closing of valve 34 is controlled, working fluid is prevented from flow through accordinglyThe second heat exchanger 30, such that it is able to reduce the overall heat exchange area of the second heat exchanger 30.
In the example shown in the series of figures, the second heat exchanger 30 can include heat exchange blower fan 32.Include parallel connection in the second heat exchanger 30Can be that corresponding heat exchange blower fan 32 is set per the heat exchanger of platform second in the case of the heat exchanger of multiple stage second of connection.Preferably,Heat exchange blower fan 32 can be frequency conversion fan (it is of course also possible to other the hot ventilating fans to change rotating speed), thus, it is possible to logicalCross the operating frequency of change heat exchange blower fan 32 and change the rotating speed of heat exchange blower fan 32.
Air-conditioning system AC can also include be arranged in closed circuit CL positioned at the upstream of First Heat Exchanger 10 and be located atThe pump (working fluid pump) 50 in the downstream of the second heat exchanger 30.Pump 50 can be used for being supplied to First Heat Exchanger 10 and change from secondThe working fluid (refrigerant) of hot device and can be by controlling the working fluid of its rotating speed and controlled output to First Heat Exchanger 10Flow.In preferred example, pump 50 is variable frequency pump.
In some instances, air-conditioning system AC can also include be arranged in closed circuit CL positioned at First Heat Exchanger 10Upstream valve (such as magnetic valve) 60, for example, valve 60 may be located between pump 50 and First Heat Exchanger 10, especially, valve 60The inlet tube that may be located at First Heat Exchanger 10 sentences the amount that control flows into the working fluid in First Heat Exchanger 10.
In the example shown in the series of figures, air-conditioning system AC can also include be arranged in closed circuit CL positioned at First Heat Exchanger10 downstream and positioned at the valve (such as magnetic valve) 70 of the upstream of the second heat exchanger 30.From the workflow that First Heat Exchanger 10 flows outBody is entered in the second heat exchanger 30 via valve 70.
According to the present invention, there is provided a kind of control method for controlling the operation of air-conditioning system AC.
Control method can include First Heat Exchanger detecting step and the second heat exchanger regulating step.
In First Heat Exchanger detecting step, the operational factor of First Heat Exchanger 10 is detected.For example, by First Heat ExchangerIn pressure sensor detection First Heat Exchanger 10 in working fluid pressure (such as evaporating pressure), pressure then will be detected againSignal (data) feeds back to mainboard (control device).
In the second heat exchanger regulating step, the behaviour of the second heat exchanger 30 is adjusted according to the operational factor of First Heat Exchanger 10Make, thus change the operational factor of First Heat Exchanger 10 to predefined parameter scope.
First Heat Exchanger detecting step can include:The pressure and/or temperature of detection First Heat Exchanger 10.That is,The operational factor of First Heat Exchanger 10 can include the pressure and/or temperature of First Heat Exchanger 10.Here, First Heat Exchanger 10Pressure and temperature can for example refer to the pressure and temperature of working fluid in First Heat Exchanger 10.
Especially, in the case where First Heat Exchanger 10 is evaporimeter, First Heat Exchanger detecting step can include:DetectionThe evaporating pressure and/or evaporating temperature (evaporating pressure of working fluid and/or the evaporation in First Heat Exchanger 10 of First Heat Exchanger 10Temperature).
In the case of the evaporating pressure of detection First Heat Exchanger 10, the second heat exchanger regulating step can include:WhenWhen the detection evaporating pressure of one heat exchanger 10 is less than or equal to first threshold M (Kpa), reduce the heat exchange area of the second heat exchanger 30,And the detection evaporating pressure for working as First Heat Exchanger 10 is when being more than or equal to Second Threshold P (Kpa) bigger than first threshold M, increase theThe heat exchange area of two heat exchangers 30.
In some instances, first threshold M can correspond to such value, when the evaporating pressure of First Heat Exchanger 10 is less thanFirst Heat Exchanger 10 during the value is it is possible that bursting by freezing is (for example, when First Heat Exchanger 10 is that case tube heat exchanger and package exchange heatWhen having the water to be cooled down by working fluid in device, the evaporating pressure of First Heat Exchanger 10 is too small may to make water freeze and causePackage bursting by freezing), Second Threshold P can correspond to such value, the air-conditioning when the evaporating pressure of First Heat Exchanger 10 is more than the valueSystem AC is it is possible that cooling is not enough.In this case, the predetermined ginseng of the operation of First Heat Exchanger as described above 10Number scope can refer to:The evaporating pressure scope being between M and P of First Heat Exchanger 10.
In the case where the second heat exchanger 30 includes the heat exchanger of multiple stage second being connected in parallel, the second heat exchanger regulating stepCan include:When the detection evaporating pressure of First Heat Exchanger 10 is less than or equal to first threshold M, opening for the second heat exchanger 30 is reducedNumber of units (for example reducing one) is opened to reduce the heat exchange area of the second heat exchanger 30, when the detection vapor pres- sure of First Heat Exchanger 10When power is more than or equal to Second Threshold P, the unlatching number of units (for example increasing by) for increasing by the second heat exchanger 30 is changed to increase secondThe heat exchange area of hot device 30.
In the case where the second heat exchanger 30 includes heat exchange blower fan 32, the second heat exchanger regulating step can include:WhenWhen the detection evaporating pressure of one heat exchanger 10 is less than or equal to first threshold M, reduce the rotating speed of heat exchange blower fan 32 (preferably by subtractingThe operating frequency of little heat exchange blower fan 32), and work as the detection evaporating pressure of First Heat Exchanger 10 more than or equal to bigger than first threshold MDuring Second Threshold P, increase the rotating speed (preferably by the operating frequency of increase heat exchange blower fan 32) of heat exchange blower fan 32.
Here, it should be noted that the second heat exchanger regulating step can by dual-purpose change heat exchange area in the way of and changeThe mode of heat exchange blower fan rotating speed.
Control method can also include pump regulating step:When the detection evaporating pressure of First Heat Exchanger 10 is less than or equal to firstDuring threshold value M, reduce the pumpability of pump 50, and when the detection evaporating pressure of First Heat Exchanger 10 is more than or equal to Second Threshold P,The pumpability of increase pump 50.Here, although it is preferred that being used in combination the second heat exchanger regulating step and pump regulating step, soAnd it is contemplated that pump regulating step can substitute the second heat exchanger regulating step individually to realize the fortune of First Heat Exchanger 10Line parameter changes to predefined parameter scope.
Especially, in the case where pump 50 is variable frequency pump, pump regulating step can include:When the detection of First Heat Exchanger 10When evaporating pressure is less than or equal to first threshold M, reduce the operating frequency of pump 50, and work as the detection evaporating pressure of First Heat Exchanger 10During more than or equal to the Second Threshold P bigger than first threshold M, increase the operating frequency of pump 50.
In some instances, in the case where air-conditioning system AC is also included for the valve 60 for controlling flow, control method is alsoValve regulation step can be included:When the detection evaporating pressure of First Heat Exchanger 10 is less than or equal to first threshold M, reduce valve 60Aperture, and when the detection evaporating pressure of First Heat Exchanger 10 is more than or equal to Second Threshold P, increase the aperture of valve 60.
In some instances, the second heat exchanger regulating step can also include:Exchange heat (being decreased or increased) second is changedAfter the heat exchange area of device 30, when the detection evaporating pressure of First Heat Exchanger 10 changes (increase reduces) to more than first thresholdWhen M and the 3rd value N (Kpa) less than Second Threshold P, the heat exchange area for making the second heat exchanger 30 recovers to former heat exchange area (i.e.Heat exchange area before change).Here, it should be noted that the reset mode is equally applicable to other regulating steps (for examplePump regulating step and valve regulation step) and the second heat exchanger regulating step in change heat exchange blower fan rotating speed mode.
In air-conditioning system AC of the invention, (the especially heat exchange of the second heat exchanger is adjusted by the second heat exchangerArea adjust) and pump regulation co-operating (wherein it is possible to the variable frequency adjustment for preferentially carrying out pump then auxiliarily carries out second changeThe heat exchange area of hot device is adjusted, it is also possible to which the heat exchange area for preferentially carrying out the second heat exchanger adjusts the change for then auxiliarily carrying out pumpFrequency modulation section), can reliably and on a large scale adjust the refrigerating capacity of air-conditioning system AC.
Here, in addition it is also necessary to explanation, although above mainly with the evaporating pressure of First Heat Exchanger and corresponding threshold valueControl method of the invention is described as a example by relatively, but it is contemplated that in other examples, it is of the inventionControl method can also relatively performing based on other parameters (such as the temperature of First Heat Exchanger) its corresponding threshold value.
According to the present invention, a kind of air-conditioning system AC is also provided.Air-conditioning system AC can include that control device (can include masterPlate) CD.Control device CD can as described above control method controlling the operation of air-conditioning system AC.
According to the present invention, by detecting that then the operational factor of First Heat Exchanger is adjusted according to the operational factor of First Heat ExchangerSave the operation of the second heat exchanger and/or adjust pumpability of pump etc., can solve the problem that (low temperature) natural cooling circulatorCase tube heat exchanger hypotony temperature is too low so as to the problem for package bursting by freezing occur during group operation, thereby guarantees that unit operation reliabilityProperty.On the other hand, by the heat exchange area of the second heat exchanger of change, the rotating speed of the heat exchange blower fan for changing the second heat exchanger, changeThe aperture (the especially co-operatings of these modes) of the rotating speed of pump and/change valve, can be reliably achieved air-conditioning system with certainlyThe reliable adjustment (such as adjusting between 10%-100%) of refrigerating capacity when so cooling down circular flow.Further aspect, due to adoptingWith variable frequency pump, compared with using the scheme for determine frequency pump, can solve when natural cooling Cycle Unit is run determine frequency pump capacity withoutMethod adjusts and determines the normally opened normal pass of frequency pump and affect the reliability of pump while affecting the problem of client's comfortableness.
It should be noted that in this manual, whenever referring to " some examples ", " other examples ", " example of diagram "Mean that the specific feature for the example description, structure or feature are included in the present invention extremely when " preferred example " etc.In a few example.The appearance of these words different places in this manual is not necessarily all referring to same example.Additionally, working as pinWhen specific feature, structure or feature are described to any example, it will be understood that those skilled in the art also can be all describedThis feature, structure or feature are realized in other examples in example.
In addition, in present specification, term " including " or its any other variant are intended to the bag of nonexcludabilityContain, so that a series of process, method, article or equipment including key elements not only includes those key elements, but also can be withIncluding other key elements being not expressly set out, or can also include for this process, method, article or equipment institute inherentlyKey element.
Finally it should be noted that, it is clear that, above-mentioned embodiment/example is only intended to clearly illustrate the act made of the present inventionExample, and not limitation of the present invention.To those skilled in the art, it can also be made on the basis of the above descriptionThe change or variation of its multi-form.There is no need to be exhaustive to all of embodiment/example.And thus drawnObvious change that Shen goes out or among changing still in protection scope of the present invention.

Claims (13)

CN201610973043.7A2016-11-072016-11-07Control method for controlling operation of air conditioning system and air conditioning systemActiveCN106594964B (en)

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Cited By (4)

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Publication numberPriority datePublication dateAssigneeTitle
CN109751796A (en)*2019-01-272019-05-14珠海格力电器股份有限公司Air-cooled water chilling unit with natural cooling function
CN109764509A (en)*2019-01-092019-05-17青岛海尔空调器有限总公司A kind of control method of energy resource system
CN109764508A (en)*2019-01-092019-05-17青岛海尔空调器有限总公司A kind of control method of energy resource system
CN109890186A (en)*2019-04-232019-06-14中国电子科技集团公司第二十九研究所 A cooler flow path with a symmetrical topology and a liquid cold plate with double cooling surfaces

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CN104566866A (en)*2015-01-122015-04-29贝莱特空调有限公司Comprehensive anti-freezing method of air-conditioner
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CN106051969A (en)*2016-05-232016-10-26合肥工业大学Control method of combined type air-conditioning system with natural cooling function

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JP2005121362A (en)*2003-10-162005-05-12Lg Electronics IncController and method for controlling refrigerant temperature for air conditioner
CN103063068A (en)*2011-10-182013-04-24株式会社日立工业设备技术Cooling system and method for controlling cooling system
EP3062031A1 (en)*2013-10-242016-08-31Mitsubishi Electric CorporationAir conditioner
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CN106051969A (en)*2016-05-232016-10-26合肥工业大学Control method of combined type air-conditioning system with natural cooling function

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* Cited by examiner, † Cited by third party
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CN109764509A (en)*2019-01-092019-05-17青岛海尔空调器有限总公司A kind of control method of energy resource system
CN109764508A (en)*2019-01-092019-05-17青岛海尔空调器有限总公司A kind of control method of energy resource system
CN109751796A (en)*2019-01-272019-05-14珠海格力电器股份有限公司Air-cooled water chilling unit with natural cooling function
CN109890186A (en)*2019-04-232019-06-14中国电子科技集团公司第二十九研究所 A cooler flow path with a symmetrical topology and a liquid cold plate with double cooling surfaces
CN109890186B (en)*2019-04-232020-06-16中国电子科技集团公司第二十九研究所Cooler flow path with symmetrical topological structure and double-radiating-surface liquid cooling plate

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