CN106783050B - A kind of cooling fin and its design method and device and transformer - Google Patents

A kind of cooling fin and its design method and device and transformer Download PDF

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Publication number
CN106783050B
CN106783050B CN201611226714.XA CN201611226714A CN106783050B CN 106783050 B CN106783050 B CN 106783050B CN 201611226714 A CN201611226714 A CN 201611226714A CN 106783050 B CN106783050 B CN 106783050B
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cooling fin
spacing
air
driving power
indicate
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CN106783050A (en
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才志远
刘海军
李琳
尹毅然
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State Grid Corp of China SGCC
North China Electric Power University
Global Energy Interconnection Research Institute
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State Grid Corp of China SGCC
North China Electric Power University
Global Energy Interconnection Research Institute
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    • HELECTRICITY
    • H01ELECTRIC ELEMENTS
    • H01FMAGNETS; INDUCTANCES; TRANSFORMERS; SELECTION OF MATERIALS FOR THEIR MAGNETIC PROPERTIES
    • H01F27/00Details of transformers or inductances, in general
    • H01F27/08Cooling; Ventilating
    • H01F27/22Cooling by heat conduction through solid or powdered fillings
    • HELECTRICITY
    • H01ELECTRIC ELEMENTS
    • H01FMAGNETS; INDUCTANCES; TRANSFORMERS; SELECTION OF MATERIALS FOR THEIR MAGNETIC PROPERTIES
    • H01F41/00Apparatus or processes specially adapted for manufacturing or assembling magnets, inductances or transformers; Apparatus or processes specially adapted for manufacturing materials characterised by their magnetic properties

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  • Engineering & Computer Science (AREA)
  • Power Engineering (AREA)
  • Manufacturing & Machinery (AREA)
  • Cooling Or The Like Of Electrical Apparatus (AREA)
  • Cooling Or The Like Of Semiconductors Or Solid State Devices (AREA)

Abstract

The present invention provides a kind of design method of radiating fin of transformer, including obtains the driving power of cooling fan;The air velocity under different cooling fin spacing is calculated according to the driving power;Cooling fin target spacing is calculated according to difference cooling fin spacing air velocity corresponding with its;Total amount of heat is distributed to the target size that each cooling fin calculates cooling fin by the target number that cooling fin is calculated according to height.In the program, it can maximumlly improve the heat dissipation capacity of cooling fin while reduce the weight and volume of cooling fin.Under specific cooling requirements, the method can effectively improve the utilization rate of fin material, compared with small heat dissipating plate volume, can effectively reduce high frequency transformer stable state Wen Sheng, promote its maximum capacity.

Description

A kind of cooling fin and its design method and device and transformer
Technical field
The present invention relates to field transformers, and in particular to a kind of cooling fin and its design method and device and transformer.
Background technology
Based on power electronic technique, domestic and foreign scholars start the Novel intelligent transformer-that transformation of electrical energy is realized in exploratory development Electric power electric transformer (Power Elecronic Transformer, abbreviation PET), also referred to as solid-state transformer (Solid- State Transformer, abbreviation SST).Electric power electric transformer is dashed forward as a kind of highly controllable novel power transformation equipment Go out feature and be that by flexible control to transformer primary secondary voltage amplitude and phase, to meet intelligent grid future development Many new demands.And in the realization of the high-power topology of electric power electric transformer, intermediate high frequency transformer ontology is most Basis is also most important electromagnetic component.As design capacity is continuously improved, volume of transformer constantly increases, can be by promoting work The method of working frequency reduces the physical size of high frequency transformer ontology.
Therefore, high frequency transformer compare with traditional transformer, it is advantageous that:
(1) when same core structure snd size, the former secondary voltage grade of transformer significantly increases.
(2) when same core structure snd size, the design capacity and power density of transformer significantly increase.
(3) application field is more extensive, such as:Field of distribution network, direct current transportation field, and the following intelligent grid neck Domain.In power electronics topology, the electric power electric transformer of composition can be realized to the flexible of former secondary voltage amplitude and phase Control, can meet many new demands of intelligent grid future development.
Stable state temperature is caused to rise excessively high problem currently, encountering loss density height in the design of high frequency transformer, to high frequency The insulation of transformer and service life produce huge threat, so the heat dissipation of rational Design of Transformer is for improving high frequency The capacity and service life of transformer are all extremely crucial, while also to ensure that its volume is to minimize, to maintain high frequency to become The advantages of depressor small size.Currently, if to ensure the heat dissipation effect of radiator, need the size of cooling fin larger, undoubtedly So that the volume of transformer is larger.
Invention content
Therefore, the technical problem to be solved in the present invention is that radiating fin of transformer in the prior art cannot be satisfied novel change Requirement of the depressor to cooling fin volume and radiating efficiency.
For this purpose, the application provides a kind of design method of cooling fin, including:Obtain the driving power of cooling fan;According to The driving power calculates the air velocity under different cooling fin spacing;According to difference cooling fin spacing institute corresponding with its It states air velocity and calculates cooling fin target spacing;The target number that cooling fin is calculated according to height, total amount of heat is distributed to each Cooling fin calculates the target size of cooling fin.
Preferably, the step of driving power for obtaining cooling fan, including:
PN=umzΔp
Wherein, Δ p indicates that the pressure landing of air, z indicate the spacing between two heat sinks, umIndicate the stream of air Speed, PNIndicate the driving power of cooling fan.
Preferably, the step of air velocity under different cooling fin spacing being calculated according to the driving power, including:
Wherein, umIndicate the flow velocity of air, PNBetween indicating that the driving power of cooling fan, z indicate between two heat sinks Away from fappRe indicates skin-friction coefficient, x+Indicate dynamics length, ρ is the density of air.
Preferably, cooling fin target spacing is calculated according to difference cooling fin spacing air velocity corresponding with its The step of, including:Calculate the heat dissipation capacity in cooling fin unit spacing;It is target spacing to choose the spacing corresponding to its maximum value.
In addition, the embodiment of the present invention also provides a kind of design device of cooling fin, including:Driving power computing unit, Driving power for obtaining cooling fan;Air velocity calculates unit, for calculating different heat dissipations according to the driving power Air velocity under piece spacing;Target spacing computing unit, for corresponding with its described according to the different cooling fin spacing Air velocity calculates cooling fin target spacing;Target number and target size computing unit, for calculating cooling fin according to height Target number, total amount of heat is distributed to the target size that each cooling fin calculates cooling fin.
Preferably, the driving power computing unit includes:
PN=umzΔp
Wherein, Δ p indicates that the pressure landing of air, z indicate the spacing between two heat sinks, umIndicate the stream of air Speed, PNIndicate the driving power of cooling fan.
Preferably, the air velocity calculating unit includes:
Wherein, umIndicate the flow velocity of air, PNBetween indicating that the driving power of cooling fan, z indicate between two heat sinks Away from fappRe indicates skin-friction coefficient, x+Indicate dynamics length, ρ is the density of air.
Preferably, the target spacing computing unit includes:Heat dissipation capacity computation subunit, for calculating between cooling fin unit Away from upper heat dissipation capacity;Optimal spacing selects subelement, is target spacing for choosing the spacing corresponding to its maximum value.
In addition, also providing a kind of cooling fin designed using the method in the present embodiment.
In addition, a kind of transformer is also provided in the embodiment of the present invention, including the cooling fin.
Technical solution of the present invention has the following advantages that:
The design method of radiating fin of transformer provided by the invention, including obtain the driving power of cooling fan;According to institute It states driving power and calculates air velocity under different cooling fin spacing;It is corresponding with its described according to the different cooling fin spacing Air velocity calculates cooling fin target spacing;Total amount of heat is distributed to each dissipate by the target number that cooling fin is calculated according to height Backing calculates the target size of cooling fin.In the program, it can maximumlly improve the heat dissipation capacity of cooling fin while reduce heat dissipation The weight and volume of piece.Under specific cooling requirements, the method can effectively improve the utilization rate of fin material, smaller Cooling fin volume can effectively reduce high frequency transformer stable state Wen Sheng, promote its maximum capacity.
Description of the drawings
It, below will be to specific in order to illustrate more clearly of the specific embodiment of the invention or technical solution in the prior art Embodiment or attached drawing needed to be used in the description of the prior art are briefly described, it should be apparent that, in being described below Attached drawing is some embodiments of the present invention, for those of ordinary skill in the art, before not making the creative labor It puts, other drawings may also be obtained based on these drawings.
Fig. 1 is a kind of structural schematic diagram of transformer in the embodiment of the present invention 1.
Fig. 2 is the flow chart of a specific example of the design method of the cooling fin in the embodiment of the present invention 1;
Fig. 3 is the functional block diagram of a specific example of the design device of cooling fin in the embodiment of the present invention 2.
Specific implementation mode
Technical scheme of the present invention is clearly and completely described below in conjunction with attached drawing, it is clear that described implementation Example is a part of the embodiment of the present invention, instead of all the embodiments.Based on the embodiments of the present invention, ordinary skill The every other embodiment that personnel are obtained without making creative work, shall fall within the protection scope of the present invention.
In the description of the present invention, it should be noted that term "center", "upper", "lower", "left", "right", "vertical", The orientation or positional relationship of the instructions such as "horizontal", "inner", "outside" be based on the orientation or positional relationship shown in the drawings, merely to Convenient for the description present invention and simplify description, do not indicate or imply the indicated device or element must have a particular orientation, With specific azimuth configuration and operation, therefore it is not considered as limiting the invention.In addition, term " first ", " second ", " third " is used for description purposes only, and is not understood to indicate or imply relative importance.
In the description of the present invention, it should be noted that unless otherwise clearly defined and limited, term " installation ", " phase Even ", " connection " shall be understood in a broad sense, for example, it may be being fixedly connected, may be a detachable connection, or be integrally connected;It can Can also be electrical connection to be mechanical connection;It can be directly connected, can also indirectly connected through an intermediary, it can be with It is the connection inside two elements, can be wirelessly connected, can also be wired connection.For those of ordinary skill in the art For, the concrete meaning of above-mentioned term in the present invention can be understood with concrete condition.
As long as in addition, technical characteristic involved in invention described below different embodiments non-structure each other It can be combined with each other at conflict.
Embodiment 1
A kind of design method of radiating fin of transformer is provided in the present embodiment, most for the cooling fin in Design of Transformer Excellent size, wherein optimal size refer to entire cooling fin external dimensions, heat dissipation capacity, maximum temperature rise and fan driving power to In the case of fixed, heat spreader structures are optimized so that its volume or quality are minimum.
The structure of cooling fin is as shown in Figure 1, wherein the size meaning representated by each letter is as follows:L and W is heat dissipation The size of piece pedestal, δ indicate that the thickness of fin, z indicate that the spacing of fin, b indicate the height of fin, ApIndicate fin in heat Sectional area in conduction orientation.The design method of the cooling fin purpose to be achieved be size L in the pedestal of given fin And W, inlet air temp TM, i, base-plate temp Ts, then pedestal Excess temperature θb=Ts-TM, i, total heat dissipation capacity q, the driving work(of fan Rate PN(or the wind speed u of one group of referencem0And spacing z0) it is given in the case of, the minimum of forced convection cooling fin is calculated Volume.
The design method of high frequency transformer cooling fin in the present embodiment is as follows:
S1, the driving power P for obtaining cooling fanN.If PNIt is directly given, then it is not necessarily to calculate.If given is one group The wind speed u of referencem0And spacing z, then then needing first to calculate driving power P corresponding at this timeN, calculation is as follows:
For the Bottomhole pressure between two parallel plates, hydraulic diameter is defined as
Dh=2z (1)
Wherein, z indicates the spacing between two heat sinks.Rayleigh number is defined as
Wherein umIt is the flow velocity of air, v is the kinematic viscosity of air.Under the model, dynamics length is defined as
Wherein x expressions are along air-flow direction, the distance away from air intake.Then skin-friction coefficient is
The formula is obtained by experimental summary, is an empirical equation.It can finally be obtained by the definition of skin-friction coefficient To the pressure landing Δ p of the air and driving power P of fanNRespectively:
Wherein, ρ is the density (5) of air
PN=umzΔp (6)
Pressure when flowing through fin gap by calculating wind lands and the flow of wind, is constantly iterated, finally The relationship under the power between the flow velocity of air and cooling fin spacing is determined, as shown in formula (1)-(6).
S2, the air velocity under different cooling fin spacing is calculated according to the driving power.
Calculate the driving power P obtained in S1NUnder, the corresponding wind speed of different cooling fin spacing, when air flows through heat dissipation When the gap of piece, due to air and cooling fin have friction, energy loss is will produce, performance is exactly the air pressure of air It can decline (due to the drop-out value very little of air pressure, air still can regard incompressible fluid as at this time), this air pressure decline can make The resistance of pairs of air flowing, the flowing of air just need corresponding power drive, and here it is the effect of fan, the pressure drops of air Increase with the reduction of cooling fin spacing and the increase of wind speed, so corresponding driving power will also increase, exists in other words Under identical driving power, the spacing reduction of cooling fin can cause air velocity to decline, so needing to calculate wind in each case Speed.
First, the feasible region of one group of cooling fin spacing z is given, wind speed initial value u is corresponded toma0, by (1)-(4) formula with And
It is iterated, each iteration umReplace uma0), until the u of iteration twicemDifference is less than 10-5, last result It is to correspond to different spacing z in the case of invariable poweraUnder air velocity uma, wherein ρ is the density of air.
S3, cooling fin target spacing is calculated according to difference cooling fin spacing air velocity corresponding with its.
After cooling fin spacing and corresponding wind speed all determine, so that it may to calculate the convection current of fin surface in this case Heat dissipation capacity on coefficient of heat transfer h, and corresponding unit area, the maximum value of the ratio by solving heat dissipation capacity and spacing, from And an optimal spacing can be selected, i.e., the spacing for most heat that shed using minimum region.
First, the heat dissipation capacity in cooling fin unit spacing is calculated, it is optimal then to choose the spacing corresponding to its maximum value Spacing.Detailed process is as follows:
Utilize zaAnd uma, calculate optimal spacing zopt, defining thermodynamics length first is
Wherein Pr indicates the Prandtl number of air. (8)
It is possible thereby to the average nusselt number in computer tube, the formula are obtained by testing, it is an empirical equation
The definition of average nusselt number is
Wherein k indicates the coefficient of heat conduction of air,Indicate the average convection coefficient of air.It is possible thereby in computer tube Average convection coefficient.
Using the nusselt number calculation formula of the laminar model between two tablets, determines and put down using in the case of logarithmic mean temperature The average convection coefficient on face surface, as shown in formula (8)-(10).
It then can be with the mean temperature and total heat dissipation capacity of certain point air in computer tube by the definition of average convection coefficient:
Wherein Tm,iIndicate intake air mean temperature, qsIndicate the heat dissipation capacity of cooling fin in unit length. (11)
Wherein, TsIndicate base-plate temp, TmIt is average temperature of air at L, Δ ToIt is that base-plate temp and the air at L are flat Equal temperature difference, Δ TiThe difference of base-plate temp and inlet air mean temperature is indicated respectively.
ΔTlmIndicate logarithmic mean temperature. (13)
It calculates and obtains minimum qconv/ZaCorresponding ZaValue is Zopt, that is, calculate in cooling fin unit spacing Heat dissipation capacity, it is optimal spacing to choose the spacing corresponding to its maximum value.
C in above formulapFor the specific heat capacity of air, and calculate optimal heat loss through convection coefficient corresponding at this timeAndWherein
Total amount of heat is distributed to each cooling fin and calculates cooling fin by S4, the target number that cooling fin is calculated according to height Target size.
Give one group of fin height ba0As initial value, then the number of cooling fin can be calculated (since cooling fin number is Integer, so having carried out rounding operation)
Heat of total heat dissipation capacity averagely to after on each cooling fin can be calculated below (has subtracted that fin is basic to be dissipated Heat)
Wherein, q indicate the total heat dissipation capacity of given cooling fin,Optimal cooling fin average surface convection current system is indicated respectively Number.
By optimal derivation, the calculation formula of obtained fin optimal size, wherein βoutIt is an optimum parameter, is deriving It generates in the process, is a characteristic
By βoptThe optimal thickness and optimization length of fin can be then calculated,
Wherein, θbIndicate pedestal Excess temperature θb=Ts-TM, i
Iteration is (each later to recycle ba0Replace with bopt), until the result difference of iteration twice is less than 10-5, finally change The one group of b of generation outopt, δopt, as optimal heat sink sizes.Floor (x) indicates to take whole no more than the maximum of x in the process Numerical value.
Using the relationship between the optimal long width values of cooling fin and heat dissipation capacity, temperature liter and material parameter, changed using simple It is calculated for algorithm, calculation amount is substantially reduced, as shown in formula (17)-(19).
It is needed after optimal spacing and its corresponding surface coefficient of heat transfer h all determine by list can be calculated The optimal size of a cooling fin in the case where considering spacing heat dissipation needs that (17)-(19) formula is used to carry out continuous iteration, Until convergence.But need to carry out some conversions to surface coefficient of heat transfer h before this, the h that (13) formula uses is flat with logarithm Equal temperature is corresponding, and is that this middle used corresponds to inlet temperature and cooling fin wall surface temperature difference in (17)-(19) The correspondence of corresponding h, the two can use formula (14) to indicate.
If not meeting the value of above-mentioned condition, be because the heat dissipation capacity of cooling fin has been more than the limit, without feasible solution, The total heat dissipation capacity q for reducing setting is calculated since new.
Heat sink design method in the present embodiment is initially set up under permanent wind fan driving power, air in cooling fin Relationship between flowing velocity and cooling fin spacing.Next establishes the pass between fin surface heat loss through convection coefficient and flow velocity System, and then determine the optimal spacing of cooling fin.Then in conjunction with optimal length and width of the single cooling fin when given heat dissipation capacity and temperature rise Than calculation formula, by iterating to calculate out the optimal width and height and optimal cooling fin number of single cooling fin, to really The structural parameters of fixed entire cooling fin.Under specific cooling requirements, the method can effectively improve the profit of fin material High frequency transformer stable state Wen Sheng can be effectively reduced, its maximum capacity is promoted compared with small heat dissipating plate volume with rate.
Embodiment 2
A kind of design device of cooling fin is provided in the present embodiment, as shown in figure 3, including:
Driving power computing unit 01, the driving power for obtaining cooling fan;
Air velocity calculates unit 02, for calculating the air stream under different cooling fin spacing according to the driving power Speed;
Target spacing computing unit 03, for according to difference cooling fin spacing airmeter corresponding with its Calculate cooling fin target spacing;
Target number and target size computing unit 04, the target number for calculating cooling fin according to height, by total heat Amount is distributed to the target size that each cooling fin calculates cooling fin.
Wherein, the driving power computing unit includes:
PN=umzΔp
Wherein, Δ p indicates that the pressure landing of air, z indicate the spacing between two heat sinks, umIndicate the stream of air Speed, PNIndicate the driving power of cooling fan.
Wherein, the air velocity calculating unit includes:
Wherein, umIndicate the flow velocity of air, PNBetween indicating that the driving power of cooling fan, z indicate between two heat sinks Away from fappRe indicates skin-friction coefficient, x+Indicate dynamics length, ρ is the density of air.
Wherein, the target spacing computing unit includes:Heat dissipation capacity computation subunit, for calculating cooling fin unit spacing On heat dissipation capacity;Optimal spacing selects subelement, is target spacing for choosing the spacing corresponding to its maximum value.
In addition, also provided in the present embodiment the cooling fin designed using the heat sink design method in embodiment 1 and Using the solid-state transformer of the cooling fin, there is smaller volume, better heat dissipation effect can be reached.
It should be understood by those skilled in the art that, the embodiment of the present invention can be provided as method, system or computer program Product.Therefore, complete hardware embodiment, complete software embodiment or reality combining software and hardware aspects can be used in the present invention Apply the form of example.Moreover, the present invention can be used in one or more wherein include computer usable program code computer The computer program production implemented in usable storage medium (including but not limited to magnetic disk storage, CD-ROM, optical memory etc.) The form of product.
The present invention be with reference to according to the method for the embodiment of the present invention, the flow of equipment (system) and computer program product Figure and/or block diagram describe.It should be understood that can be realized by computer program instructions every first-class in flowchart and/or the block diagram The combination of flow and/or box in journey and/or box and flowchart and/or the block diagram.These computer programs can be provided Instruct the processor of all-purpose computer, special purpose computer, Embedded Processor or other programmable data processing devices to produce A raw machine so that the instruction executed by computer or the processor of other programmable data processing devices is generated for real The device for the function of being specified in present one flow of flow chart or one box of multiple flows and/or block diagram or multiple boxes.
These computer program instructions, which may also be stored in, can guide computer or other programmable data processing devices with spy Determine in the computer-readable memory that mode works so that instruction generation stored in the computer readable memory includes referring to Enable the manufacture of device, the command device realize in one flow of flow chart or multiple flows and/or one box of block diagram or The function of being specified in multiple boxes.
These computer program instructions also can be loaded onto a computer or other programmable data processing device so that count Series of operation steps are executed on calculation machine or other programmable devices to generate computer implemented processing, in computer or The instruction executed on other programmable devices is provided for realizing in one flow of flow chart or multiple flows and/or block diagram one The step of function of being specified in a box or multiple boxes.
Obviously, the above embodiments are merely examples for clarifying the description, and does not limit the embodiments.It is right For those of ordinary skill in the art, can also make on the basis of the above description it is other it is various forms of variation or It changes.There is no necessity and possibility to exhaust all the enbodiments.And it is extended from this it is obvious variation or It changes still within the protection scope of the invention.

Claims (10)

1. a kind of design method of cooling fin, which is characterized in that including:
Obtain the driving power of cooling fan;
The air velocity under different cooling fin spacing is calculated according to the driving power;
Cooling fin target spacing is calculated according to difference cooling fin spacing air velocity corresponding with its;
Total amount of heat is distributed to the mesh that each cooling fin calculates cooling fin by the target number that cooling fin is calculated according to fin height Dimensioning.
2. design method according to claim 1, which is characterized in that the step of the driving power for obtaining cooling fan Suddenly, including:
PN=umzΔp
Wherein, Δ p indicates that the pressure landing of air, z indicate the spacing between two heat sinks, umIndicate the flow velocity of air, PNTable Show the driving power of cooling fan.
3. design method according to claim 2, which is characterized in that according between the different cooling fins of driving power calculating The step of air velocity away under, including:
Wherein, umIndicate the flow velocity of air, PNIndicate that the driving power of cooling fan, z indicate the spacing between two heat sinks, fappRe indicates skin-friction coefficient, x+Indicate dynamics length, ρ is the density of air.
4. design method according to claim 3, which is characterized in that corresponding with its according to the different cooling fin spacing The air velocity calculates the step of cooling fin target spacing, including:
Calculate the heat dissipation capacity in cooling fin unit spacing;
It is target spacing to choose the spacing corresponding to its maximum value.
5. a kind of design device of cooling fin, which is characterized in that including:
Driving power computing unit, the driving power for obtaining cooling fan;
Air velocity calculates unit, for calculating the air velocity under different cooling fin spacing according to the driving power;
Target spacing computing unit, for calculating heat dissipation according to difference cooling fin spacing air velocity corresponding with its Piece target spacing;
Target number and target size computing unit, the target number for calculating cooling fin according to fin height, by total heat Amount is distributed to the target size that each cooling fin calculates cooling fin.
6. design device according to claim 5, which is characterized in that the driving power computing unit includes:
PN=umzΔp
Wherein, Δ p indicates that the pressure landing of air, z indicate the spacing between two heat sinks, umIndicate the flow velocity of air, PNTable Show the driving power of cooling fan.
7. design device according to claim 5, which is characterized in that the air velocity calculates unit and includes:
Wherein, umIndicate the flow velocity of air, PNIndicate that the driving power of cooling fan, z indicate the spacing between two heat sinks, fappRe indicates that skin-friction coefficient, x+ indicate dynamics length, and ρ is the density of air.
8. design device according to claim 7, which is characterized in that the target spacing computing unit includes:
Heat dissipation capacity computation subunit, for calculating the heat dissipation capacity in cooling fin unit spacing;
Optimal spacing selects subelement, is target spacing for choosing the spacing corresponding to its maximum value.
9. a kind of cooling fin, which is characterized in that the design method according to any one of claim 1-4 designs.
10. a kind of transformer, which is characterized in that including the cooling fin described in claim 9.
CN201611226714.XA 2016-12-27 2016-12-27 A kind of cooling fin and its design method and device and transformer Active CN106783050B (en)

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US7059396B2 (en) * 2003-09-17 2006-06-13 Honda Motor Co., Ltd. System for configuring the geometric parameters for a micro channel heat exchanger and micro channel heat exchangers configured thereby
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