CN107958116A - A kind of elevator door-motor driver optimizing thermal solution method based on particle cluster algorithm - Google Patents
A kind of elevator door-motor driver optimizing thermal solution method based on particle cluster algorithm Download PDFInfo
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Abstract
The invention discloses a kind of elevator door-motor driver optimizing thermal solution method based on particle cluster algorithm, it is characterized in that, utilize the thermal resistance model of elevator door-motor driver radiator, by itself the thermal resistance R2 and elevator door-motor driver radiator of elevator door-motor driver radiator and the heat transfer resistance R3 of air, entire thermal resistance R is calculated;And the work air quantity of elevator door-motor driver radiator, the radiator parameter optimal value of temperature control within the specified range when the work air quantity of entire thermal resistance and elevator door-motor driver radiator meets condition is tried to achieve using particle cluster algorithm, obtains radiator minimum volume;Reduce the heat dissipation effect being optimal while radiator cost.
Description
Technical field
The present invention relates to the technical field of elevator door-motor driver, more particularly to a kind of elevator door based on particle cluster algorithm
Machine driver optimizing thermal solution method.
Background technology
Elevator door-motor is to provide power by special driving plate, fever caused by its frequent operation, it is necessary to design radiator into
Row cooling, the performance of electronic component and temperature are closely bound up used in its structure.With the rising of temperature, the crash rate of electronic component
Increase, temperature often rise 10 DEG C, and the reliability of electronic device is with regard to drop by half.Counted according to pertinent literature, the failure of electronic equipment
It is that temperature exceedes caused by setting to have 55%.Electronic product integration degree is higher and higher at present, heat dissipation difficulty also with
Increase.Servo drive system is more and more widely used, in order to ensure being as execution unit in modern production
System reliability of operation, it is necessary to optimized to the radiator of driver.
Domestic and international researcher has done substantial amounts of work for the design of power device cooling system.Li Yubao, Wang Jianping
Et al. Natural Heat Convection calculating has been carried out to model of the rectangular fins radiator under Different structural parameters, pass through comparative analysis
The temperature and thermal resistance calculation of different models are as a result, inquired into the shadow of radiator base plate parameter and fin parameter to its heat dissipation performance
Ring;Lee, which strives et al., is based on finite volume method, and Analysis of Three-Dimensional Temperature is carried out with power inverter to electric drive, compared for changing and dissipates
Hot equipment material, adds fan and the heat dissipation effect combined 2, design is optimized to the cooling system of inverter;Dong Liang,
Xu Weiqiang, Li Qianqian et al. for electronic electric equipment heat dissipation and samming demand, it is proposed that a kind of new structure it is different
Shape integral heat pipe radiator:The evaporator section of flat-plate heat pipe form is integrated with the condensation copper pipe with high finned ratio fin;Guo Jianzhong
Et al. performance evaluation and fin structure carried out to certain type automobile corrugated tube type shutter radiator with ATC methods optimize, establish certain
Type automobile radiators monocycle fin group model simultaneously carries out it three-dimensional simulation under different wind speed operating modes and calculates and pass through experiment
Demonstrate feasibility.The miniature controller for pure electric automobile that Shen Youchuan is produced using certain company is research object, mainly from thermodynamics
Angle design radiator, and radiator is optimized from structure, finally designs and meet the controller radiating requirements
Radiator.
The content of the invention
Based on above-mentioned phenomenon, the present invention provides a kind of elevator door-motor driver optimizing thermal solution side based on particle cluster algorithm
Method, the temperature control when the work air quantity of entire thermal resistance and elevator door-motor driver radiator meets condition is tried to achieve using particle cluster algorithm
The radiator parameter optimal value of system within the specified range, obtains radiator minimum volume;Reach while reducing radiator cost
Optimal heat dissipation effect.
Using the thermal resistance model of elevator door-motor driver radiator, pass through itself thermal resistance of elevator door-motor driver radiator
The heat transfer resistance R3 of R2 and elevator door-motor driver radiator and air, calculate entire thermal resistance R;And elevator door-motor driver dissipates
The work air quantity of hot device, is tried to achieve when the work air quantity of entire thermal resistance and elevator door-motor driver radiator meets using particle cluster algorithm
The radiator minimum volume of temperature control within the specified range during condition;
Particle cluster algorithm optimizing step is as follows:
S1:Start;
S2:Input parameter;Population scale is set to 10, and iterations setting 100, the value range of fin quantity is set to
(20,60), fin thickness range are set to (0.001,0.01), and the length range of radiator is set to (0.062,0.172);
S3:The work air quantity of thermal resistance value R and critical radiator is calculated by S2;
S4:Initialize particle and particle rapidity;
S5:Check radiator work air quantity and entire thermal resistance at, the work air quantity of radiator is too small or thermal resistance value R
It is excessive, S4 is performed, is reinitialized;
S6:Adaptive value calculates;
S7:Particle rapidity updates;
S8:Particle position updates;
S9:Check the work air quantity and thermal resistance value R of radiator, the work air quantity of radiator is too small or thermal resistance value R
It is excessive, S7 is performed, particle rapidity and particle position are updated again;
S10:The work air quantity and thermal resistance value R of radiator carry out adaptive value calculating in normal range (NR);
S11:Whether currency is less than local optimum, if being into S12;If not, enter S13;S12:Office
Portion's optimal value renewal;
S13:Whether currency is less than conjunction office optimal value, if so, into S14;If not, into S15;
S14:Global optimum updates;
S15:Whether arrive iteration and dodge number or convergence;If so, into S16;
S16:Export global optimum;
The adaptive optimal control solution of heat spreader structures parameter is finally obtained, obtains optimal heat spreader structures;
Wherein, R=R2+R3 (1);
Itself thermal resistance of elevator door-motor driver radiator:Radiator is made of the metal plate that n blocks one end is connected, and is connected
One end constitutes substrate, and the length, width and height of metal plate are respectively L, b, l;Do not have in elevator door-motor driver heat spreader metals tablet
Heat source, and hot-fluid is that a peacekeeping is stablized, and can be obtained by Fourier Heat Conduction equation, the heat of conduction:
(2) in formula:P is to conduct heat (KCalth/h), KsFor thermal conductivity factor (KCalth/h.m. DEG C), A is radiator
Heat transfer surface area (m2), T-t is the 2 end face temperature difference (DEG C), and l is the height (m) of metal plate, can be obtained:
It can be obtained after unit conversion:
Ks is the thermal conductivity factor of metal plate;
Wherein, the heat transfer resistance of elevator door-motor driver radiator and air, according to the different situations of laminar flow and turbulent flow into
Row analysis:When
(1) during air-cooled cooling, if power device is operated in the environment of an atmospheric pressure, relative humidity no more than 90%;
(2) flow velocity of air is much smaller than the velocity of sound, such as less than 7m/s;
(3) flowing of air is in stable state;
(4) environment temperature of radiator work exists:Between -25 DEG C to 250 DEG C;
Metal plate boundary layer with wind turbine distance with increasing, and Reynolds number constantly increases, when critical more than Reynolds number
Value, that is, exceeded critical distance, and laminar flow can be obtained by formula (5) to turbulent transition, critical distance;
In formula:RecFor critical Reynolds number, v is air viscosity (m2/ s), usFor air velocity (m/s).
As L < XCWhen, boundary layer is in laminar condition, and local nusselt number at this time is:
Nux=0.332Rex 1/2Pr1/3=hx*x/λ (6)
In formula:RexFor the Reynolds number at x;Pr is the Prandtl number of air, and Pr is equal to air viscosity coefficient and thermal conductivity factor
Between ratio, dimensionless, and unrelated with x;hxFor the cross-ventilation heat transfer coefficient at x;λ is the thermal conductivity factor of air.
Local nusselt number is integrated in metal plate length L, multiplied by with L, average nusselt number is can obtain, such as formula
(7) shown in,
In formula:Other parameters are same as above,
Cross-ventilation mean heat transfer coefficient can be released by formula (6) and formula (7), as shown in formula (8).
It can ibid release, as L > XCWhen, boundary layer is in the state of turbulent flow, and local nusselt number at this time is:
Nux=0.0296Rex 4/5Pr1/3 (9)
The critical Reynolds number on metal plate border is generally taken as 5 × 105, can show that L is exerted more than being averaged after critical length
Sai Er numbers and mean heat transfer coefficient are respectively as shown in formula (8) and formula (9).
Num=(0.037Re4/5-871)Pr1/3 (10)
A is the heat transfer surface area of radiator;
Wherein, the work air quantity of elevator door-motor driver radiator, can be by the characteristic curve and wind of fan in radiator
The intersection point of the air way characteristic curve in road is tried to achieve, and the characteristic curve of fan is provided by radiator manufacturer, the characteristic curve in air passage
It can be tried to achieve by following equation (14),
In formula:RsFor wind-force radius (m);Rf is duct resistance (Pa);δ is friction coefficient, takes 0.022;ρ is atmospheric density
(kg/m3);L is air passage length (m);U is wind speed (m/s);
Finally obtain n, L, l, the adaptive optimal control solution of b;
Pass through V=nLlb (15)
Obtain optimal heat spreader structures.
Beneficial effects of the present invention:
The radiation processes of radiator are analyzed, establish the derivation formula of heat radiator thermal resistance, and calculate fan in radiator
Work air quantity and windage, and the radiator most corpusculum when entire thermal resistance and work air quantity when meeting condition is tried to achieve using particle cluster algorithm
Product, to achieve the purpose that to reduce production cost;And by finite element analysis software Icepak, to optimize front and rear heat dissipation effect into
Go contrast, demonstrate the feasibility and validity of method.
Brief description of the drawings
Fig. 1 is the optimizing flow chart of particle cluster algorithm in the present invention;
Fig. 2 is radiator volume Optimal Curve figure in the present invention;
Fig. 3 is heat spreader structures parameter optimization curve map in the present invention;
Fig. 4 is radiator fan work air quantity operating point in the present invention;
Fig. 5 is optimization radiator temperature distribution map in the present invention;
Fig. 6 is the structure chart of radiator in the present invention.
Embodiment
Technical scheme described in detail below.The embodiment of the present invention is only for explanation concrete structure, the rule of the structure
Mould should not be limited by the examples.
Loss in permanent magnet synchronous motor servo-driver (or brushless direct current motor) operational process used in elevator door-motor
The overwhelming majority comes from rectification and inverter circuit, and diode and ICBT modules pass through them as main power device, heat
Tube core pass to shell, then pass to radiator from shell, radiator transfers heat to ring by way of convection current and radiation
In the medium of border, each several part thermal resistance is expressed as R1, R2 and R3.Efficient, the low design in radiator of cost of forced air cooling
In be widely used.
Radiator entire thermal resistance between shell to air, is expressed as:
R=R2+R3 (1)
Wherein, R2 is radiator itself thermal resistance, and R3 is the heat transfer resistance of radiator and air;
Particle cluster algorithm optimizing step is as shown in Figure 1 as follows:
S1:Start;
S2:Input parameter;Population scale is set to 10, and iterations setting 100, the value range of metal plate quantity is set
For (20,60), metal plate thickness range is set to (0.001,0.01), and the length range of radiator is set to (0.062,0.172);
S3:The work air quantity of thermal resistance value R and critical radiator is calculated by S2;
S4:Initialize particle and particle rapidity;
S5:Check radiator work air quantity and entire thermal resistance at, the work air quantity of radiator is too small or thermal resistance value R
It is excessive, S4 is performed, is reinitialized;
S6:Adaptive value calculates;
S7:Particle rapidity updates;
S8:Particle position updates;
S9:Check the work air quantity and thermal resistance value R of radiator, the work air quantity of radiator is too small or thermal resistance value R
It is excessive, S7 is performed, particle rapidity and particle position are updated again;
S10:The work air quantity and thermal resistance value R of radiator carry out adaptive value calculating in normal range (NR);
S11:Whether currency is less than local optimum, if being into S12;If not, enter S13;
S12:Local optimum updates;
S13:Whether currency is less than conjunction office optimal value, if so, into S14;If not, into S15;
S14:Global optimum updates;
S15:Whether arrive iteration and dodge number or convergence;If so, into S16;
S16:Export global optimum;
The adaptive optimal control solution of heat spreader structures parameter is finally obtained, obtains optimal heat spreader structures.
Wherein, itself thermal resistance of elevator door-motor driver radiator:1 group of the metal plate that radiator is connected by n blocks one end
Substrate 2 is constituted into, connected one end, and the length, width and height of metal plate are respectively L, b, l, as shown in Figure 6;Elevator door-motor driver dissipates
There is no heat source in hot device metal plate, and hot-fluid is that a peacekeeping is stablized, and can be obtained by Fourier Heat Conduction equation, the heat of conduction:
(2) in formula:P is to conduct heat (KCalth/h), KsFor thermal conductivity factor (KCalth/h.m. DEG C), A is radiator
Heat transfer surface area (m2), T-t is the 2 end face temperature difference (DEG C), and l is the height (m) of metal plate, can be obtained:
It can be obtained after unit conversion:
Ks is the thermal conductivity factor of metal plate;
Wherein, the heat transfer resistance of elevator door-motor driver radiator and air, according to the different situations of laminar flow and turbulent flow into
Row analysis:When
(1) during air-cooled cooling, if power device is operated in the environment of an atmospheric pressure, relative humidity no more than 90%;
(2) flow velocity of air is much smaller than the velocity of sound, such as less than 7m/s;
(3) flowing of air is in stable state;
(4) environment temperature of radiator work exists:Between -25 DEG C to 250 DEG C;
Metal plate boundary layer with wind turbine distance with increasing, and Reynolds number constantly increases, when critical more than Reynolds number
Value, that is, exceeded critical distance, and laminar flow can be obtained by formula (5) to turbulent transition, critical distance;
In formula:RecFor critical Reynolds number, v is air viscosity (m2/ s), usFor air velocity (m/s).
As L < XCWhen, boundary layer is in laminar condition, and local nusselt number at this time is:
Nux=0.332Rex 1/2Pr1/3=hx*x/λ (6)
In formula:RexFor the Reynolds number at x;Pr is the Prandtl number of air, and Pr is equal to air viscosity coefficient and thermal conductivity factor
Between ratio, dimensionless, and unrelated with x;hxFor the cross-ventilation heat transfer coefficient at x;λ is the thermal conductivity factor of air.
Local nusselt number is integrated in metal plate length L, multiplied by with L, average nusselt number is can obtain, such as formula
(7) shown in,
In formula:Other parameters are same as above,
Cross-ventilation mean heat transfer coefficient can be released by formula (6) and formula (7), as shown in formula (8).
It can ibid release, as L > XCWhen, boundary layer is in the state of turbulent flow, and local nusselt number at this time is:
Nux=0.0296Rex 4/5Pr1/3 (9)
The critical Reynolds number on metal plate border is generally taken as 5 × 105, can show that L is exerted more than being averaged after critical length
Sai Er numbers and mean heat transfer coefficient are respectively as shown in formula (8) and formula (9).
Num=(0.037Re4/5-871)Pr1/3 (10)
A is the heat transfer surface area of radiator;
Wherein, the work air quantity of elevator door-motor driver radiator, can be by the characteristic curve and wind of fan in radiator
The intersection point of the air way characteristic curve in road is tried to achieve, and the characteristic curve of fan is provided by radiator manufacturer, the characteristic curve in air passage
It can be tried to achieve by following equation (14),
In formula:RsFor wind-force radius (m);Rf is duct resistance (Pa);δ is friction coefficient, takes 0.022;ρ is atmospheric density
(kg/m3);L is air passage length (m);U is wind speed (m/s);
Finally obtain n, L, l, the adaptive optimal control solution of b;
Pass through V=nLlb (15)
Obtain optimal heat spreader structures.
By taking the radiator of a driver as an example, radiator portion interior space dimension is 277mm × 196mm × 89mm, is adopted
Forced air cooling is carried out with the fan of 2 model Nidec [D08A-24TS2], fan dimension is 80mm × 80mm, and maximum quantity of wind is
1.55m3/ min, maximum wind pressure 70.5N/m2.Radiator employs aluminum rib-type, appearance and size for 172mm × 170mm ×
79mm, substrate thickness 12mm, metal plate thickness are 1mm, the piece number 32.Power module caloric value is 375W.The body of radiator
Product V is 4.348 × 10-4m3.Being run when in environment of the radiator at 25 DEG C, model is imported ICEPAK carries out finite element analysis,
After stabilization, maximum temperature has reached 67 DEG C, and spreader surface temperature is at 55 DEG C or so.Using the radiator of the driver as object into
Row structure parameter optimizing, in order to give full play to the effect of fan, the wide of radiator appearance and size is still taken as by we with height
170mm and 79mm.By metal plate quantity, metal plate thickness, the length of radiator optimizes.Easy to compare effect of optimization,
Target temperature is arranged to 75 DEG C, environment temperature is set to 25 DEG C.Population scale is set to 10, and iterations setting 100, metal is put down
The value range of plate quantity is set to (20,60), and metal plate thickness range is set to (0.001,0.01), the length range of radiator
It is set to (0.062,0.172).Operation program, draws optimum results, shown in below figure 2 and Fig. 3.When metal plate L takes
101.7mm, metal plate thickness takes 1.2mm, and when metal plate quantity is taken as 40, volume is 3.857 × 10-4m3, than original
4.348×10-4m3, reduce 11.3% in volume, i.e., 11.3% also consequently reduced in material cost;By drawing fan
Characteristic curve and characteristic curve of air duct, the real work air quantity for having obtained fan are 1.509m3/ min, wind pressure of work 5.8N/
m2, as shown in figure 5, according to obtained Optimal Parameters, the model established after optimization simultaneously imports Icepak, carries out heat dissipation emulation, obtains
To the temperature profile of radiator, as shown in Figure 4 and Figure 5.
It is 0.13013 DEG C/W to bring parameter after optimization into thermal resistance that thermal resistance calculation subroutine call arrives, 2 result of calculation base
This is identical.Heat dissipation effect after parameter optimization has weakened, and 5.5 DEG C are risen in temperature, but still in our default 75
Within DEG C, and we reduce 11.3% in cost.It has been properly arrived at the target of optimization.
Claims (2)
- A kind of 1. elevator door-motor driver optimizing thermal solution method based on particle cluster algorithm, it is characterised in that utilize elevator door-motor The thermal resistance model of driver radiator, is dissipated by itself the thermal resistance R2 and elevator door-motor driver of elevator door-motor driver radiator The heat transfer resistance R3 of hot device and air, calculates thermal resistance value R;And the work air quantity of elevator door-motor driver radiator, should The temperature control when the work air quantity of entire thermal resistance and elevator door-motor driver radiator meets condition is tried to achieve with particle cluster algorithm to exist Radiator minimum volume in specified range.
- 2. a kind of elevator door-motor driver optimizing thermal solution method based on particle cluster algorithm according to claim 1, it is special Sign is that particle cluster algorithm optimizing step is as follows:S1:Start;S2:Input parameter;Population scale is set to 10, and iterations setting 100, the value range of metal plate quantity is set to (20,60), metal plate thickness range are set to (0.001,0.01), and the length range of radiator is set to (0.062,0.172);S3:The work air quantity of thermal resistance value R and critical radiator is calculated by S2;S4:Initialize particle and particle rapidity;S5:Checking the work air quantity and thermal resistance value of radiator, the work air quantity of radiator is too small or thermal resistance value R is excessive, S4 is performed, is reinitialized;S6:Adaptive value calculates;S7:Particle rapidity updates;S8:Particle position updates;S9:Checking the work air quantity and thermal resistance value R of radiator, the work air quantity of radiator is too small or thermal resistance value R is excessive, S7 is performed, particle rapidity and particle position are updated again;S10:The work air quantity and thermal resistance value R of radiator carry out adaptive value calculating in normal range (NR);S11:Whether currency is less than local optimum, if being into S12;If not, enter S13;S12:Local optimum updates;S13:Whether currency is less than conjunction office optimal value, if so, into S14;If not, into S15;S14:Global optimum updates;S15:Whether arrive iteration and dodge number or convergence;If so, into S16;S16:Export global optimum;The adaptive optimal control solution of heat spreader structures parameter is finally obtained, obtains optimal heat spreader structures;Wherein, itself thermal resistance R2+ elevator door-motor driver radiator of thermal resistance value R=elevator door-motors driver radiator and sky The heat transfer resistance R3 of gas, i.e. R=R2+R3 (1);Itself thermal resistance of elevator door-motor driver radiator:Radiator is made of the metal plate that n blocks one end is connected, and be connected one end Substrate is constituted, the length, width and height of metal plate are respectively L, b, l;Without heat in elevator door-motor driver heat spreader metals tablet Source, and hot-fluid is that a peacekeeping is stablized, and can be obtained by Fourier Heat Conduction equation, the heat of conduction:<mrow> <mi>P</mi> <mo>=</mo> <mo>-</mo> <msub> <mi>K</mi> <mi>s</mi> </msub> <mi>A</mi> <mfrac> <mrow> <mi>d</mi> <mi>t</mi> </mrow> <mrow> <mi>d</mi> <mi>x</mi> </mrow> </mfrac> <mo>=</mo> <msub> <mi>K</mi> <mi>s</mi> </msub> <mi>A</mi> <mfrac> <mrow> <mi>T</mi> <mo>-</mo> <mi>t</mi> </mrow> <mi>l</mi> </mfrac> <mo>-</mo> <mo>-</mo> <mo>-</mo> <mrow> <mo>(</mo> <mn>2</mn> <mo>)</mo> </mrow> </mrow>(2) in formula:P is to conduct heat (KCalth/h), KsFor thermal conductivity factor (KCalth/h.m. DEG C), A is the heat transfer of radiator Surface area (m2), T-t is the 2 end face temperature difference (DEG C), and l is the height (m) of metal plate, can be obtained:It can be obtained after unit conversion:Ks is the thermal conductivity factor of metal plate;Wherein, the heat transfer resistance of elevator door-motor driver radiator and air, is divided according to the different situations of laminar flow and turbulent flow Analysis:When(1) during air-cooled cooling, if power device is operated in the environment of an atmospheric pressure, relative humidity no more than 90%;(2) flow velocity of air is much smaller than the velocity of sound, such as less than 7m/s;(3) flowing of air is in stable state;(4) environment temperature of radiator work exists:Between -25 DEG C to 250 DEG C;With increasing with wind turbine distance, Reynolds number constantly increases in metal plate boundary layer, when more than Reynolds number critical value, i.e., Critical distance is exceeded, laminar flow can be obtained by formula (5) to turbulent transition, critical distance;<mrow> <msub> <mi>X</mi> <mi>c</mi> </msub> <mo>=</mo> <mfrac> <mrow> <msub> <mi>Re</mi> <mi>c</mi> </msub> <mo>*</mo> <mi>v</mi> </mrow> <msub> <mi>u</mi> <mi>s</mi> </msub> </mfrac> <mo>-</mo> <mo>-</mo> <mo>-</mo> <mrow> <mo>(</mo> <mn>5</mn> <mo>)</mo> </mrow> </mrow>In formula:RecFor critical Reynolds number, v is air viscosity (m2/ s), usFor air velocity (m/s).As L < XCWhen, boundary layer is in laminar condition, and local nusselt number at this time is:Nux=0.332Rex 1/2Pr1/3=hx*x/λ (6)In formula:RexFor the Reynolds number at x;Pr is the Prandtl number of air, and Pr is equal between air viscosity coefficient and thermal conductivity factor Ratio, dimensionless, and unrelated with x;hxFor the cross-ventilation heat transfer coefficient at x;λ is the thermal conductivity factor of air.Local nusselt number is integrated in metal plate length L, multiplied by with L, average nusselt number is can obtain, such as formula (7) institute Show,<mrow> <mi>N</mi> <mi>u</mi> <mi>m</mi> <mo>=</mo> <mfrac> <mn>1</mn> <mi>L</mi> </mfrac> <msubsup> <mo>&Integral;</mo> <mn>0</mn> <mi>L</mi> </msubsup> <mrow> <mo>(</mo> <mi>N</mi> <mi>u</mi> <mi>x</mi> <mo>)</mo> </mrow> <mi>d</mi> <mi>x</mi> <mo>=</mo> <mn>0.664</mn> <msup> <mi>Re</mi> <mrow> <mn>1</mn> <mo>/</mo> <mn>2</mn> </mrow> </msup> <msup> <mi>Pr</mi> <mrow> <mn>1</mn> <mo>/</mo> <mn>3</mn> </mrow> </msup> <mo>-</mo> <mo>-</mo> <mo>-</mo> <mrow> <mo>(</mo> <mn>7</mn> <mo>)</mo> </mrow> </mrow>In formula:Other parameters are same as above,Cross-ventilation mean heat transfer coefficient can be released by formula (6) and formula (7), as shown in formula (8).<mrow> <mi>h</mi> <mo>=</mo> <mfrac> <mi>&lambda;</mi> <mi>L</mi> </mfrac> <mn>0.664</mn> <msup> <mi>Re</mi> <mrow> <mn>1</mn> <mo>/</mo> <mn>2</mn> </mrow> </msup> <msup> <mi>Pr</mi> <mrow> <mn>1</mn> <mo>/</mo> <mn>3</mn> </mrow> </msup> <mo>-</mo> <mo>-</mo> <mo>-</mo> <mrow> <mo>(</mo> <mn>8</mn> <mo>)</mo> </mrow> </mrow>It can ibid release, as L > XCWhen, boundary layer is in the state of turbulent flow, and local nusselt number at this time is:Nux=0.0296Rex 4/5Pr1/3 (9)The critical Reynolds number on metal plate border is generally taken as 5 × 105, can show that L exceedes the average nusselt number after critical length With mean heat transfer coefficient respectively as shown in formula (8) and formula (9).Num=(0.037Re4/5-871)Pr1/3 (10)<mrow> <mi>h</mi> <mo>=</mo> <mfrac> <mi>&lambda;</mi> <mi>L</mi> </mfrac> <mrow> <mo>(</mo> <mn>0.037</mn> <msup> <mi>Re</mi> <mrow> <mn>4</mn> <mo>/</mo> <mn>5</mn> </mrow> </msup> <mo>-</mo> <mn>871</mn> <mo>)</mo> </mrow> <msup> <mi>Pr</mi> <mrow> <mn>1</mn> <mo>/</mo> <mn>3</mn> </mrow> </msup> <mo>-</mo> <mo>-</mo> <mo>-</mo> <mrow> <mo>(</mo> <mn>11</mn> <mo>)</mo> </mrow> </mrow><mrow> <mi>R</mi> <mn>3</mn> <mo>=</mo> <mfrac> <mn>1</mn> <mrow> <mn>1.16</mn> <mi>h</mi> <mi>A</mi> </mrow> </mfrac> <mo>-</mo> <mo>-</mo> <mo>-</mo> <mrow> <mo>(</mo> <mn>12</mn> <mo>)</mo> </mrow> </mrow>A is the heat transfer surface area of radiator;<mrow> <mi>R</mi> <mo>=</mo> <mi>R</mi> <mn>2</mn> <mo>+</mo> <mi>R</mi> <mn>3</mn> <mo>=</mo> <mfrac> <mi>l</mi> <mrow> <mn>1.16</mn> <msub> <mi>K</mi> <mi>s</mi> </msub> <mi>L</mi> <mi>b</mi> <mi>n</mi> </mrow> </mfrac> <mo>+</mo> <mfrac> <mn>1</mn> <mrow> <mn>1.16</mn> <mi>h</mi> <mi>A</mi> </mrow> </mfrac> <mo>-</mo> <mo>-</mo> <mo>-</mo> <mrow> <mo>(</mo> <mn>13</mn> <mo>)</mo> </mrow> </mrow>Wherein, the work air quantity of elevator door-motor driver radiator, characteristic curve that can be by fan in radiator and air passage The intersection point of air way characteristic curve is tried to achieve, and the characteristic curve of fan is provided by radiator manufacturer, and the characteristic curve in air passage can be by Following equation (14) is tried to achieve,<mrow> <msub> <mi>R</mi> <mi>f</mi> </msub> <mo>=</mo> <mfrac> <mrow> <msup> <mi>&delta;&rho;Lu</mi> <mn>2</mn> </msup> </mrow> <mrow> <mn>8</mn> <msub> <mi>R</mi> <mi>s</mi> </msub> </mrow> </mfrac> <mo>-</mo> <mo>-</mo> <mo>-</mo> <mrow> <mo>(</mo> <mn>14</mn> <mo>)</mo> </mrow> </mrow>In formula:RsFor wind-force radius (m);Rf is duct resistance (Pa);δ is friction coefficient, takes 0.022;ρ is atmospheric density (kg/ m3);L is air passage length (m);U is wind speed (m/s).
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