CN106016760B - Self-adapting frequency conversion heat-pump hot-water Energy conservation measures in heating system - Google Patents
Self-adapting frequency conversion heat-pump hot-water Energy conservation measures in heating system Download PDFInfo
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- CN106016760B CN106016760B CN201610506440.3A CN201610506440A CN106016760B CN 106016760 B CN106016760 B CN 106016760B CN 201610506440 A CN201610506440 A CN 201610506440A CN 106016760 B CN106016760 B CN 106016760B
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- XLYOFNOQVPJJNP-UHFFFAOYSA-N water Substances O XLYOFNOQVPJJNP-UHFFFAOYSA-N 0.000 title claims abstract description 111
- 238000006243 chemical reaction Methods 0.000 title claims abstract description 29
- 238000010438 heat treatment Methods 0.000 title claims abstract description 26
- 238000004134 energy conservation Methods 0.000 title claims abstract description 6
- 238000013461 design Methods 0.000 claims abstract description 26
- 238000012937 correction Methods 0.000 claims abstract description 20
- 238000000034 method Methods 0.000 claims abstract description 9
- 238000011105 stabilization Methods 0.000 claims abstract description 7
- 239000008400 supply water Substances 0.000 claims description 22
- 238000004364 calculation method Methods 0.000 claims description 3
- 235000006508 Nelumbo nucifera Nutrition 0.000 claims 1
- 240000002853 Nelumbo nucifera Species 0.000 claims 1
- 235000006510 Nelumbo pentapetala Nutrition 0.000 claims 1
- 230000000694 effects Effects 0.000 abstract description 2
- 230000006641 stabilisation Effects 0.000 abstract description 2
- 238000012986 modification Methods 0.000 description 2
- 230000004048 modification Effects 0.000 description 2
- 230000007812 deficiency Effects 0.000 description 1
- 238000005516 engineering process Methods 0.000 description 1
- 238000009413 insulation Methods 0.000 description 1
- 238000012417 linear regression Methods 0.000 description 1
- 238000011056 performance test Methods 0.000 description 1
- 238000004321 preservation Methods 0.000 description 1
- 238000010792 warming Methods 0.000 description 1
Classifications
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- F—MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
- F24—HEATING; RANGES; VENTILATING
- F24D—DOMESTIC- OR SPACE-HEATING SYSTEMS, e.g. CENTRAL HEATING SYSTEMS; DOMESTIC HOT-WATER SUPPLY SYSTEMS; ELEMENTS OR COMPONENTS THEREFOR
- F24D19/00—Details
- F24D19/10—Arrangement or mounting of control or safety devices
- F24D19/1006—Arrangement or mounting of control or safety devices for water heating systems
- F24D19/1009—Arrangement or mounting of control or safety devices for water heating systems for central heating
- F24D19/1039—Arrangement or mounting of control or safety devices for water heating systems for central heating the system uses a heat pump
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- F—MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
- F24—HEATING; RANGES; VENTILATING
- F24H—FLUID HEATERS, e.g. WATER OR AIR HEATERS, HAVING HEAT-GENERATING MEANS, e.g. HEAT PUMPS, IN GENERAL
- F24H15/00—Control of fluid heaters
- F24H15/20—Control of fluid heaters characterised by control inputs
- F24H15/212—Temperature of the water
- F24H15/219—Temperature of the water after heating
-
- F—MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
- F24—HEATING; RANGES; VENTILATING
- F24H—FLUID HEATERS, e.g. WATER OR AIR HEATERS, HAVING HEAT-GENERATING MEANS, e.g. HEAT PUMPS, IN GENERAL
- F24H15/00—Control of fluid heaters
- F24H15/20—Control of fluid heaters characterised by control inputs
- F24H15/212—Temperature of the water
- F24H15/223—Temperature of the water in the water storage tank
-
- F—MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
- F24—HEATING; RANGES; VENTILATING
- F24H—FLUID HEATERS, e.g. WATER OR AIR HEATERS, HAVING HEAT-GENERATING MEANS, e.g. HEAT PUMPS, IN GENERAL
- F24H15/00—Control of fluid heaters
- F24H15/20—Control of fluid heaters characterised by control inputs
- F24H15/254—Room temperature
-
- F—MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
- F24—HEATING; RANGES; VENTILATING
- F24H—FLUID HEATERS, e.g. WATER OR AIR HEATERS, HAVING HEAT-GENERATING MEANS, e.g. HEAT PUMPS, IN GENERAL
- F24H15/00—Control of fluid heaters
- F24H15/20—Control of fluid heaters characterised by control inputs
- F24H15/258—Outdoor temperature
-
- F—MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
- F24—HEATING; RANGES; VENTILATING
- F24H—FLUID HEATERS, e.g. WATER OR AIR HEATERS, HAVING HEAT-GENERATING MEANS, e.g. HEAT PUMPS, IN GENERAL
- F24H15/00—Control of fluid heaters
- F24H15/20—Control of fluid heaters characterised by control inputs
- F24H15/281—Input from user
-
- F—MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
- F24—HEATING; RANGES; VENTILATING
- F24H—FLUID HEATERS, e.g. WATER OR AIR HEATERS, HAVING HEAT-GENERATING MEANS, e.g. HEAT PUMPS, IN GENERAL
- F24H15/00—Control of fluid heaters
- F24H15/30—Control of fluid heaters characterised by control outputs; characterised by the components to be controlled
- F24H15/375—Control of heat pumps
- F24H15/38—Control of compressors of heat pumps
-
- F—MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
- F24—HEATING; RANGES; VENTILATING
- F24H—FLUID HEATERS, e.g. WATER OR AIR HEATERS, HAVING HEAT-GENERATING MEANS, e.g. HEAT PUMPS, IN GENERAL
- F24H4/00—Fluid heaters characterised by the use of heat pumps
- F24H4/02—Water heaters
- F24H4/04—Storage heaters
-
- F—MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
- F24—HEATING; RANGES; VENTILATING
- F24H—FLUID HEATERS, e.g. WATER OR AIR HEATERS, HAVING HEAT-GENERATING MEANS, e.g. HEAT PUMPS, IN GENERAL
- F24H9/00—Details
- F24H9/20—Arrangement or mounting of control or safety devices
- F24H9/2007—Arrangement or mounting of control or safety devices for water heaters
-
- F—MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
- F24—HEATING; RANGES; VENTILATING
- F24H—FLUID HEATERS, e.g. WATER OR AIR HEATERS, HAVING HEAT-GENERATING MEANS, e.g. HEAT PUMPS, IN GENERAL
- F24H15/00—Control of fluid heaters
- F24H15/10—Control of fluid heaters characterised by the purpose of the control
- F24H15/156—Reducing the quantity of energy consumed; Increasing efficiency
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- Engineering & Computer Science (AREA)
- Physics & Mathematics (AREA)
- Thermal Sciences (AREA)
- Chemical & Material Sciences (AREA)
- Combustion & Propulsion (AREA)
- Mechanical Engineering (AREA)
- General Engineering & Computer Science (AREA)
- Heat-Pump Type And Storage Water Heaters (AREA)
- Steam Or Hot-Water Central Heating Systems (AREA)
Abstract
The present invention relates to a kind of self-adapting frequency conversion heat-pump hot-water Energy conservation measures in heating system, feature is that control method is including step:The basic function formula that heat pump supplies water between calculating temperature and indoor design temperature and outdoor environment temperature is established, the temperature difference that temperature and backwater actual temperature are calculated by supplying water to heat pump judges, the calculating temperature that supplies water to heat pump is modified;According to the room actual air temperature after stabilization and the deviation of indoor design temperature, on the basis of first time correction function formula, the calculating temperature that supplies water to heat pump is corrected again;The heat pump obtained according to water supply actual temperature and second of correction function formula, which supplies water, calculates the difference of temperature, adjusts the compressor rotary speed of frequency conversion heat pump water heater, the actual calculating temperature of water supply is calculated temperature with heat pump water supply and reaches unanimity.Its advantage is:Different building heat preserving characteristics and the difference of hot-water coil pipe laying are taken into full account, supplying water, calculating temperature is more accurate, and energy-saving effect is also more obvious.
Description
Technical field
The present invention relates to a kind of self-adapting frequency conversion heat-pump hot-water Energy conservation measures in heating system.
Background technology
Teat pump boiler is more and more applied in heating system as a kind of high-efficiency energy-saving heat aquatic products.Frequency conversion heat
Pump water heater also gradually starts to apply in radiant floor heating system because having the advantages that supply water temperature is constant and efficiency is high.
At present, either fixed frequency or frequency conversion heat pump water heater design of radiant heating floor system, water supply/return water temperature are generally 45
DEG C/35 DEG C, room air temperature control controls Teat pump boiler start-stop by floor surface temperature or room air temperature mostly
To realize.Because the efficiency of Teat pump boiler declines with the rise of supply water temperature, and the outdoor environment temperature within a cycle of heating
Degree changes greatly, and the change of outdoor environment temperature is also larger in one day, therefore, in its heating demand phase of different time sections
Difference is larger.When outdoor environment temperature is higher, required heating demand is smaller, and the supply water temperature of floor heating can be reduced suitably, so
The efficiency of Teat pump boiler can improve.To realize the energy saving purpose of operation of heat pump, heat pump is meeting the premise of requirement
Under, reduce supply water temperature as far as possible, but supply water temperature determine depend on required heating demand, it not only with outdoor environment temperature
Degree, indoor design temperature are related and related with the heat-insulating property of buildings exterior-protected structure and heat exchange coil laying.But due to
Outdoor environment temperature dynamic change, heat-insulating property and the heat exchange coil laying of different buildings differ greatly and different crowd
Warming is different, how using a kind of simply method to determine that optimal heat pump supply water temperature is the pass of realizing that operation of heat pump is energy saving
Key.
The content of the invention
A kind of self-adapting frequency conversion heat-pump hot-water heating system is provided the purpose of the present invention is overcome the deficiencies in the prior art
Energy-saving control method, it can keep the temperature special according to the change of outdoor environment temperature and indoor design temperature and building itself
Property, determine the optimal temperature of supply water of frequency conversion heat pump, and the running frequency of frequency conversion heat pump is adjusted with this, realize frequency conversion heat pump operation section
Energy.
In order to achieve the above object, the present invention is achieved in that it is a kind of self-adapting frequency conversion heat-pump hot-water heating system
System energy-saving control method, it is characterised in that frequency conversion heat pump hot water system includes frequency conversion heat pump water heater, water tank, recirculated water
Pump, hot-water coil pipe, control system, water tank temperature sensor, return water temperature sensor, room air temperature sensor and outdoor
Environment temperature sensor;Temperature, that is, water supply actual temperature T in wherein described water tank temperature sensor senses water tankgs, institute
State the leaving water temperature i.e. backwater actual temperature T of return water temperature sensor sensing hot-water coil pipehs, the room air temperature sensor
Sense indoor temperature, that is, room actual air temperature Tns, the outdoor environment temperature sensor sensing outdoor temperature, that is, outdoor environment
Temperature Tw, it is as follows that the energy-saving control method of the control system includes step:
(One)Indoor indoor design temperature T is set in the controlssd;
(Two)During work, control system is first according to the performance of frequency conversion heat pump water heater and the thermic load of typical heating room
Characteristic, establishes heat pump water supply and calculates temperature TgjWith indoor design temperature TsdAnd outdoor environment temperature TwBetween basic function formula;
(Three)The control system calculates temperature T by supplying water to heat pumpgjWith backwater actual temperature ThsThe temperature difference and go along with sb. to guard him
The product of structural modifications coefficient k is calculated, and on the basis of basic function formula, is supplied water to heat pump and is calculated temperature TgjRepaiied
Just, obtain revised heat pump water supply and calculate temperature TgjFirst time correction function formula;
(Four)The control system(5)According to the room actual air temperature T after stabilizationnsWith indoor design temperature Tsd's
Deviation, on the basis of first time correction function formula, supplies water heat pump and calculates temperature TgjCorrected, corrected again again
Heat pump supply water and calculate temperature TgjSecond of correction function formula(Ⅲ);
(Five)According to water supply actual temperature TgsThe heat pump obtained with second of correction function formula, which supplies water, calculates temperature TgjDifference
Value, adjusts the compressor rotary speed of frequency conversion heat pump water heater, makes water supply is actual to calculate temperature TgsSupply water with heat pump and calculate temperature TgjBecome
In consistent.
The control system can also be after system works 1~2 day, the automatic room actual air obtained after indoor stablize
Temperature TnsWith indoor design temperature TsdFixation average deviation, as second of correction function formula(Ⅲ)Calculation basis, so
As long as the indoor indoor design temperature T of user's settingsd, control system, which can be instantly available heat pump and supply water, calculates temperature Tgj, without
Further according to room actual air temperature T after indoor temperature stabilizationnsWith indoor design temperature TsdDeviation be modified.
Compared with prior art, the present invention have the following advantages that:
(1)When outdoor environment temperature is higher, heating system supply water temperature can be reduced suitably, Teat pump boiler efficiency compared with
Height, realizes energy saving in running;
(2)Different building heat preserving characteristics and the difference of hot-water coil pipe laying are taken into full account, in the process of running automatically
Judge to correct, supplying water, calculating temperature is more accurate, and energy-saving effect is also more obvious.
Brief description of the drawings
Fig. 1 is the heating system structure principle chart that the present invention is implemented.
Embodiment
The embodiment of the present invention is described below in detail, the example of the embodiment is shown in the drawings.Below with reference to
The embodiment of attached drawing description is exemplary, and is only used for explaining the present invention, and is not considered as limiting the invention.
As shown in Figure 1, it is a kind of energy-saving control method of self-adapting frequency conversion heat-pump hot-water heating system, frequency conversion heat pump heat
Water heating system includes frequency conversion heat pump water heater 1, water tank 2, water circulating pump 3, hot-water coil pipe 4, control system 5, water storage box temperature
Spend sensor 6, return water temperature sensor 7, room air temperature sensor 8 and outdoor environment temperature sensor 9;Wherein described heat
The water outlet of water coil 4 is connected with the water return outlet of water tank 2, and the water inlet of hot-water coil pipe 4 connects with the water outlet of water circulating pump 3
Logical, the water inlet of the water circulating pump 3 is connected with the water outlet of water tank 2, and frequency conversion heat pump water heater 1 adds water tank 2
Heat;The water tank temperature sensor 6 senses temperature, that is, water supply actual temperature T in water tank 2gs, the return water temperature sensing
Device 7 senses leaving water temperature, that is, backwater actual temperature T of hot-water coil pipe 4hs, the sensing of room air temperature sensor 8 Indoor Temperature
Degree is room actual air temperature Tns, the sensing of the outdoor environment temperature sensor 9 outdoor temperature, that is, outdoor environment temperature Tw, institute
The step of stating the energy-saving control method of control system 5 is as follows:
(One)Indoor indoor design temperature T is set in control system 5sd;Control system 5 divides automatic mode and manual mould
Formula, the indoor design temperature T under automatic modesd18 DEG C are defaulted as, or according to actual conditions, indoor setting in automatic mode
Temperature Tsd17 DEG C, 19 DEG C or other temperature etc. are defaulted as, the indoor design temperature T under manual modesdFor manually setting;
(Two)Because indoor and outdoor temperature change is big, the influence to heat pump supply water temperature is also maximum;During work, control system
System 5 according to the performance of frequency conversion heat pump water heater 1 and the thermic load characteristic of typical heating room, establishes heat pump water supply and calculates temperature first
Spend TgjWith indoor design temperature TsdAnd outdoor environment temperature TwBetween basic function formula I, heat pump, which supplies water, calculates temperature TgjBase
Plinth functional expression I is:Tgj=a+b*(Tsd-Tw), in formula, the thermic load characteristic of typical heating room is simulated, passes through specific frequency conversion heat pump
Performance test in different chamber and under the outdoor temperature difference, carries out linear regression to experimental data and obtains coefficient a and coefficient b, coefficient a
Value range be generally 20~40, the value range of coefficient b is generally 0.5~2;Because of whole day outdoor environment temperature TwChange compared with
Greatly, can use every 0.5 it is small when by basic function formula I recalculate heat pump and supply water and calculate temperature TgjOnce;
(Three)Because the heat-insulating property of buildings exterior-protected structure is different, the thermic load characteristic of heating room is directly affected;It is described
Control system 5 calculates temperature T by supplying water to heat pumpgjWith backwater actual temperature ThsThe temperature difference judged, in basic function formula
On the basis of I, supply water to heat pump and calculate temperature TgjIt is modified, obtains revised heat pump water supply and calculate temperature TgjFirst
Secondary correction function formula II is:Tgj=a+b*(Tsd-Tw)+k*(Tgs-Ths), in formula, k is building enclosure correction factor, and k is with going along with sb. to guard him
The circular flow of structural thermal insulation characteristic and water circulating pump 3 is related, generally takes 0.5;
(Four)Because the laying of hot-water coil pipe 4 is different, to reach same indoor design temperature, then heat pump supply water temperature is not
Together;The control system 5 is according to the room actual air temperature T after stabilizationnsWith indoor design temperature TsdDeviation, first
On the basis of secondary correction function formula II, supply water to heat pump and calculate temperature TgjCorrected again, obtain modified heat pump again and supply
Water calculates temperature TgjSecond of correction function formula III be:Tgj=a+b*(Tsd-Tw)+k*(Tgs-Ths)+(Tsd-Tns), in formula,
K is building enclosure correction factor, and k is related with the circular flow of building enclosure heat preservation property and water circulating pump 3, generally takes 0.5;
(Five) according to water supply actual temperature TgsThe heat pump obtained with second of correction function formula III, which supplies water, calculates temperature Tgj
Difference, adjust the compressor rotary speed of frequency conversion heat pump water heater 1, make the actual calculating temperature T of water supplygsSupply water with heat pump and calculate temperature
TgjReach unanimity.
In the present embodiment, the control system 5 can also be after system works 1~2 day, and automatic acquisition indoor temperature is steady
Room actual air temperature T after fixednsWith indoor design temperature TsdFixation average deviation, as second of correction function formula
III calculation basis, as long as so indoor indoor design temperature T of user's settingsd, control system can be instantly available heat pump water supply
Calculate temperature Tgj, without after indoor temperature stabilization after further according to room actual air temperature TnsWith indoor design temperature Tsd
Deviation be modified.
Although an embodiment of the present invention has been shown and described, it will be understood by those skilled in the art that:Not
These embodiments can be carried out with a variety of changes, modification, replacement and deformation in the case of departing from the principle of the present invention and objective, this
The scope of invention is limited by claim and its equivalent.
Claims (2)
- A kind of 1. self-adapting frequency conversion heat-pump hot-water Energy conservation measures in heating system, it is characterised in that frequency conversion heat pump hot water heating system System includes frequency conversion heat pump water heater(1), water tank(2), water circulating pump(3), hot-water coil pipe(4), control system(5), water tank Temperature sensor(6), return water temperature sensor(7), room air temperature sensor(8)And outdoor environment temperature sensor(9); Wherein described water tank temperature sensor(6)Sense water tank(2)Interior temperature, that is, water supply actual temperature Tgs, the return water temperature Sensor(7)Sense hot-water coil pipe(4)Leaving water temperature, that is, backwater actual temperature Ths, the room air temperature sensor(8) Sense indoor temperature, that is, room actual air temperature Tns, the outdoor environment temperature sensor(9)It is outdoor to sense outdoor temperature Environment temperature Tw, the control system(5)Energy-saving control method include step it is as follows:(One)In control system(5)The middle indoor indoor design temperature T of settingsd;(Two)During work, control system(5)First according to frequency conversion heat pump water heater(1)Performance and the heat of typical heating room bear Lotus characteristic, establishes heat pump water supply and calculates temperature TgjWith indoor design temperature TsdAnd outdoor environment temperature TwBetween basic function formula (Ⅰ);(Three)The control system(5)By to heat pump water supply actual temperature TgsWith backwater actual temperature ThsThe temperature difference and go along with sb. to guard him knot The product of structure correction factor k is calculated, in basic function formula(Ⅰ)On the basis of, supply water to heat pump and calculate temperature TgjRepaiied Just, obtain revised heat pump water supply and calculate temperature TgjFirst time correction function formula(Ⅱ);(Four)The control system(5)According to the room actual air temperature T after stabilizationnsWith indoor design temperature TsdDeviation, In first time correction function formula(Ⅱ)On the basis of, supply water to heat pump and calculate temperature TgjCorrected, corrected again again Heat pump supply water and calculate temperature TgjSecond of correction function formula(Ⅲ);(Five)According to water supply actual temperature TgsWith second of correction function formula(Ⅲ)Obtained heat pump, which supplies water, calculates temperature TgjDifference Value, adjusts frequency conversion heat pump water heater(1)Compressor rotary speed, make water supply is actual to calculate temperature TgsSupply water with heat pump and calculate temperature TgjReach unanimity.
- 2. self-adapting frequency conversion heat-pump hot-water Energy conservation measures in heating system according to claim 1, it is characterised in that institute State control system(5)Can also be after system work 1~2 day, the automatic room actual air temperature T obtained after indoor stablizens With indoor design temperature TsdFixation average deviation, as second of correction function formula(Ⅲ)Calculation basis, as long as so with The indoor indoor design temperature T of family settingsd, control system(5)Heat pump water supply can be instantly available and calculate temperature Tgj, without Further according to room actual air temperature T after indoor temperature stabilizationnsWith indoor design temperature TsdDeviation be modified.
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CN201610506440.3A CN106016760B (en) | 2016-07-01 | 2016-07-01 | Self-adapting frequency conversion heat-pump hot-water Energy conservation measures in heating system |
PCT/CN2016/092845 WO2018000515A1 (en) | 2016-07-01 | 2016-08-02 | Energy-saving control method for adaptive variable-frequency heat pump hot water heating system |
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CN201610506440.3A CN106016760B (en) | 2016-07-01 | 2016-07-01 | Self-adapting frequency conversion heat-pump hot-water Energy conservation measures in heating system |
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CN106016760B true CN106016760B (en) | 2018-04-13 |
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EP2508806A2 (en) * | 2011-04-07 | 2012-10-10 | Mitsubishi Electric Corporation | Heat pump system and heat pump unit controlling method |
CN103277571A (en) * | 2013-06-19 | 2013-09-04 | 陈建平 | Dynamic return water temperature flow regulating valve |
CN203629017U (en) * | 2012-12-25 | 2014-06-04 | 三菱电机株式会社 | Air conditioning device |
CN103912914A (en) * | 2014-04-22 | 2014-07-09 | 珠海格力电器股份有限公司 | Floor heating control method |
CN104344453A (en) * | 2014-11-03 | 2015-02-11 | 广州德能热源设备有限公司 | Floor heating system with variable-frequency air source heat pump |
CN104949192A (en) * | 2015-07-13 | 2015-09-30 | 顺德职业技术学院 | Energy-saving control method for floor radiant heating system comprising variable-frequency heat-pump water heater |
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2016
- 2016-07-01 CN CN201610506440.3A patent/CN106016760B/en active Active
- 2016-08-02 WO PCT/CN2016/092845 patent/WO2018000515A1/en active Application Filing
Patent Citations (6)
Publication number | Priority date | Publication date | Assignee | Title |
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EP2508806A2 (en) * | 2011-04-07 | 2012-10-10 | Mitsubishi Electric Corporation | Heat pump system and heat pump unit controlling method |
CN203629017U (en) * | 2012-12-25 | 2014-06-04 | 三菱电机株式会社 | Air conditioning device |
CN103277571A (en) * | 2013-06-19 | 2013-09-04 | 陈建平 | Dynamic return water temperature flow regulating valve |
CN103912914A (en) * | 2014-04-22 | 2014-07-09 | 珠海格力电器股份有限公司 | Floor heating control method |
CN104344453A (en) * | 2014-11-03 | 2015-02-11 | 广州德能热源设备有限公司 | Floor heating system with variable-frequency air source heat pump |
CN104949192A (en) * | 2015-07-13 | 2015-09-30 | 顺德职业技术学院 | Energy-saving control method for floor radiant heating system comprising variable-frequency heat-pump water heater |
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