CN104657551B - A kind of fin heat exchanger core structural optimization method based on dynamic pixel granularity - Google Patents

A kind of fin heat exchanger core structural optimization method based on dynamic pixel granularity Download PDF

Info

Publication number
CN104657551B
CN104657551B CN201510066295.7A CN201510066295A CN104657551B CN 104657551 B CN104657551 B CN 104657551B CN 201510066295 A CN201510066295 A CN 201510066295A CN 104657551 B CN104657551 B CN 104657551B
Authority
CN
China
Prior art keywords
mrow
particle
heat exchanger
msub
msubsup
Prior art date
Legal status (The legal status is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the status listed.)
Expired - Fee Related
Application number
CN201510066295.7A
Other languages
Chinese (zh)
Other versions
CN104657551A (en
Inventor
徐敬华
张树有
谭建荣
Current Assignee (The listed assignees may be inaccurate. Google has not performed a legal analysis and makes no representation or warranty as to the accuracy of the list.)
Zhejiang University ZJU
Original Assignee
Zhejiang University ZJU
Priority date (The priority date is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the date listed.)
Filing date
Publication date
Application filed by Zhejiang University ZJU filed Critical Zhejiang University ZJU
Priority to CN201510066295.7A priority Critical patent/CN104657551B/en
Publication of CN104657551A publication Critical patent/CN104657551A/en
Application granted granted Critical
Publication of CN104657551B publication Critical patent/CN104657551B/en
Expired - Fee Related legal-status Critical Current
Anticipated expiration legal-status Critical

Links

Landscapes

  • Management, Administration, Business Operations System, And Electronic Commerce (AREA)

Abstract

The invention discloses a kind of fin heat exchanger core optimum structure design method based on dynamic pixel granularity.According to plate-fin heat exchanger core body flow passage structure, fin heat exchanger core Optimal Structure Designing model is established, dynamic renewal pixel granularity is proposed, expands population hunting zone, keep population diversity;Propose the pixel distance computation model of non-head and the tail particle, head and the tail particle, according to the pixel distance of particle, it is adaptively calculated intersection and mutation operation probability, random intersection and Gaussian mutation are taken respectively, strengthen population ability of searching optimum, the Local Search efficiency of population is improved, avoids algorithm from being absorbed in local optimum, the target for realize that the optimal de-coverings of Pareto are extensive, being evenly distributed.The present invention can improve core structure of heat exchanger design efficiency, there is provided more rational design parameter.Plate-fin heat exchanger after optimization design of the present invention, there is the distinguishing feature that passage load is uniform, secondary heat transfer temperature difference is small, flow resistance is small, heat exchange efficiency is high.

Description

A kind of fin heat exchanger core structural optimization method based on dynamic pixel granularity
Technical field
Fin heat exchanger core structural optimization method of the present invention, more particularly, to a kind of plate based on dynamic pixel granularity Fin type heat exchanger core body structural optimization method.
Background technology
Plate-fin heat exchanger compared to traditional heat exchangers such as pipe heat exchangers, have heat transfer efficiency is high, temperature difference controlling is good, The features such as compact-sized, cost-effective, adaptation is extensively, reliability is high, is manufactured using soldering, improve the compressive resistance of heat exchange, can For a plurality of fluids heat exchange, the heat exchange between a variety of media, air separation equipment, Aero-Space, petrochemical industry, atomic energy and The fields such as national defense industry have extensive use.For plate-fin heat exchanger using fin as heat exchange unit, heat transfer coefficient and heat transfer area are equal Better than pipe heat exchanger.In the case where transmitting identical heat, plate-fin heat exchanger because fin thickness is small, compact-sized, therefore Its weight is lighter than shell-and-tube heat exchanger.Due to these advantages, the background technology of the plate-fin heat exchanger present invention is:
Plate-fin heat exchanger is complicated, is the equipment for realizing the heat exchanges such as condensation, liquefaction, evaporation, has the small temperature difference Unsteady heat transfer, secondary heat transfer, allow the distinguishing feature that resistance is small, multiple flow physical property changes fierceness.Plate-fin heat exchanger is by wing Piece, dividing plate, strip of paper used for sealing, end socket and flow deflector composition, its structural core is plate beam, including multiple is put into two by fin, flow deflector The passage for coordinating strip of paper used for sealing to form between dividing plate (composite plate) again.Fin is placed between composite plate, and is fixed with strip of paper used for sealing, and core body is in vacuum Furnace brazing, both ends welding end socket.The core body of plate-fin heat exchanger is formed by multiple cold and hot fluid passage solderings are stacked, Traditional core structure of heat exchanger design method is trial and error procedure, i.e., first selectes heat-transfer surface, cooling medium and the type of flow, Ran Houduo Secondary hypothesis physical dimension carries out tentative calculation, until obtaining a heat exchanger for meeting institute's Prescribed Properties.With exchanger heat flow rate Increase, existing structure design method is difficult to solve that heat exchanger core body passage load is uneven, heat exchange efficiency declines, structure design is stranded The problems such as difficult.
Recently as the extensive use of intelligent algorithm, there is scholar that intelligent algorithm is applied in design of heat exchanger. University of Alabama of U.S. NAJAFI etc. have studied the shadow of plate-fin heat exchanger fin structure heat exchanging device performance using genetic algorithm Ring.It is uneven that university of Hamburg, Germany Federal Defence Forces ROETZEL etc. have studied fluid in the heat exchanger for considering hyperbolic dispersion model Sex chromosome mosaicism, when calculating Non-Uniform Flow, Axial Temperature Distribution in shell-and-tube heat exchanger.French ripple city process engineering laboratory RENEAUME etc. have studied plate-fin heat exchanger optimization method, provide the continuous type formula for solving plate-fin heat exchanger performance.It is existing , there is local optimal searching ability by force in heat exchanger structure Optimization Design and ability of searching optimum is poor, Premature convergence easily occurs The shortcomings of, design accuracy is difficult to meet demand.
Core body is the core of plate-fin heat exchanger and crucial heat exchanging part, accounts for the weight and body of the heat exchanger overwhelming majority Product;Diabatic process rely primarily on fin completion, while fin again can convection body flowing produce resistance, so the type of fin with Size is also to influence the principal element of heat exchanger performance, therefore emphasis of the present invention optimizes design for core body with fin structure.
The content of the invention
In order to overcome the shortcomings of in background technology, it is an object of the invention to provide a kind of plate based on dynamic pixel granularity Fin type heat exchanger core body structural optimization method.This method is on the basis of basic particle group algorithm, by introducing dynamic renewal picture Plain granularity, intersection and mutation operation probability are adaptively calculated, establish modified particle swarm optiziation.The algorithm is applied to solve In the fin heat exchanger core Optimal Structure Designing of the minimum target of the gross weight of core body, to draw parameter of structure design most Excellent solution.
The step of the technical solution adopted by the present invention, is as follows:
1) determine to need the main performance requirements of plate-fin heat exchanger and the physical parameter of fluid optimized;
2) core optimized variable and its constraints are determined, that is, determines Structure Optimization Variables vector X phenotypes and asks The solution space of topic;One group of optimized variable of core body represents as follows:
X={ x1,x2,x3,…,xk}
In formula, xiAn optimized amount in optimized variable vector is represented, k represents optimized variable sum;
3) according to the 2) optimized variable and its constraints that step obtains establish Optimized model, determine object function Type and its mathematical description form or quantization method, that is, final optimal solution;Optimized model is established to be described as follows with formula:
Solve:f(x1,x2,x3,…,xk)
Target:minf(x1,x2,x3,…,xk)
Constraint:g(x1,x2,x3,…,xk)≤0
h(x1,x2,x3,…,xk)=0
In formula, xiAn optimized amount in optimized variable vector is represented, k represents optimized variable sum,WithRespectively Refer to the possible value of minimum and maximum of the corresponding optimized amount in optimized variable vector, f () represents the object function of optimization problem, g () represents inequality constraints, and h () represents equality constraint.
4) establish after Optimized model, the feasible solution of optimized variable vector is represented using the particle in population, kind is set Group's scale, iterative algebra, pixel granularity and outside Pareto ponds initiation parameter, and the position to all particles and speed progress Initialization;
5) position of Population Regeneration particle and speed;
6) fitness value of particle is calculated, judges dominance relation, internal dominate is updated and solves and non-domination solution set;
7) intersection and mutation operation probability are adaptively calculated, takes random intersect and Gaussian mutation operation, renewal respectively The position of particle, update internal non-domination solution set;
8) judge internal non-domination solution and the dominance relation of outside Pareto solutions, and update outside Pareto ponds;
9) using dynamic renewal pixel granularity, the location of pixels of particle in outside Pareto ponds is calculated, and reject same picture The unnecessary particle of plain position;
10) pixel distance of particle in outside Pareto ponds is calculated, the pixel distance particle for choosing maximum is global for population Optimal particle;
11) whether evaluation algorithm meets end condition, if it is, terminating to calculate, obtains optimal solution, otherwise into the 5) Step.
Described the 7) in step, is adaptively calculated intersection and mutation operation probability refers to:The intersection of particle and variation behaviour Make probability according to the pixel distance of particle come dynamic access.
9) described the is referred in step using dynamic renewal pixel granularity:Updated according to iterations dynamic.
The invention has the advantages that:
The present invention establishes fin heat exchanger core Optimal Structure Designing model, proposes dynamic renewal pixel granularity, expands Population hunting zone, keep population diversity;Be adaptively calculated intersection and mutation operation probability, take respectively it is random intersect and Gaussian mutation, strengthen ability of searching optimum, improve Local Search efficiency, avoid algorithm from being absorbed in local optimum, realize Pareto most The target that excellent de-covering is extensive, is evenly distributed.The present invention can improve core structure of heat exchanger design efficiency, there is provided more rational Design parameter.The present invention can improve core structure of heat exchanger design efficiency, there is provided more rational design parameter.Present invention optimization Plate-fin heat exchanger after design, with passage load is uniform, secondary heat transfer temperature difference is small, flow resistance is small, heat exchange efficiency is high Distinguishing feature.
Brief description of the drawings
Fig. 1 is the fin heat exchanger core structure optimization overall procedure based on dynamic pixel granularity of the present invention.
Fig. 2 is the heat exchanger core body global configuration parameter schematic diagram of the present invention.
Fig. 3 is the heat exchanger core body flow passage structure parameter schematic diagram of the present invention.
Fig. 4 is the fin heat exchanger core optimization idiographic flow based on dynamic pixel granularity.
Fig. 5 is that the pixel distance of the non-head and the tail particle of the present invention calculates schematic diagram.
In Fig. 5:P (k+1), P (k-1) --- after sequence with the location of pixels of particle k adjacent particles;
|pi(k+1)-pi(k-1) | --- in object function fiThe pixel distance of dimension;N --- object function sum.
Fig. 6 is that the pixel distance of the head and the tail particle of the present invention calculates schematic diagram.
In Fig. 6:Δ P (s) --- the pixel distance of the first particle after sequence;P (s+1) --- grain adjacent with the first particle Son;Δ P (e) --- the pixel distance of end particle;P (e-1) --- with end particle adjacent particles;L --- influence coefficient.
Embodiment
Below in conjunction with drawings and examples, the present invention is described in further detail.
1.1 problems describe
There are two kinds of design requirements for design of heat exchanger:A kind of is in the case where meeting the efficiency and resistance of setting, to the greatest extent may be used The reduction heat exchanger appearance and size and weight of energy.Another is given size of heat exchanger and weight demands, makes heat exchanger efficiency It is as high as possible.The present invention is selected Optimal Parameters using core body loss of weight as target, of the invention based on dynamic pixel granularity Fin heat exchanger core structure optimization overall procedure is as shown in Figure 1.
Plate-fin heat exchanger is made up of plate beam, end socket, adapter and bearing etc., is core body by multiple rows of plate Shu Zucheng part. Core and most important heat exchanger components of the core body as heat exchanger, account for 80% or so of heat exchanger gross weight, remainder The effect such as connection, closing is played as annex.Certain heat exchanger core body general structure is as shown in Fig. 2 major parameter has hot side stream Body length of flow L1, cold size fluid flows length L2, non-current direction size L3, fin number of plies N.Certain heat exchanger core body runner knot Structure is as shown in figure 3, major parameter has fin thickness δf, fin pitch X, block board thickness δf, dividing plate distance s.Set carrying out heat exchanger Timing, the gross weight of heat exchanger can be obtained by transformation of coefficient using core weight as object function.
Diabatic process relies primarily on fin completion, while fin understands the flowing generation resistance of convection body again, so fin Type and size are also to influence the principal element of heat exchanger performance, also should be used as optimized variable.
Optimized variable vector X represents as follows:
X={ x1,x2,x3,…,xk}
xi--- represent one of core size or fin size
K --- represent optimized variable project sum
1.2 establish Optimized model
Core design optimization problem can be described as follows with formula:
For i=1,2,3 ..., n
Find:X={ x1,x2,x3,…,xk}
Minimize:F (x)=f (X)
Subject to:Δp1≤Δp1max
Δp2≤Δp2max
η1≥ηmin
η2≥ηmin
g(X)≥0
Δp1--- represent the pressure drop of plate-fin heat exchanger hot side
Δp1max--- represent the maximum allowed pressure drop of plate-fin heat exchanger hot side
Δp2--- represent the pressure drop of plate-fin heat exchanger cold side
Δp2max--- represent the maximum allowed pressure drop of plate-fin heat exchanger cold side
η1--- represent the heat exchange efficiency of plate-fin heat exchanger hot side
η2--- represent the heat exchange efficiency of plate-fin heat exchanger cold side
ηmin--- represent the minimum allowable heat transfer efficiency of plate-fin heat exchanger
G (X) --- represent the strength check of plate-fin heat exchanger
--- represent the minimum value of the respective items of optimized variable vector
--- represent the maximum of the respective items of optimized variable vector
1.3 determine fitness function
In order to embody the adaptability of particle, the function that can be measured to each particle in problem is introduced, That is fitness function.Excellent, the bad degree of particle is determined by fitness function, it embodies the survival of the fittest in natural evolution Principle.For optimization problem, fitness function is exactly object function.
F (x) --- fitness value
G (x) --- the fitness value under max problem
1.4 determine the location of pixels of particle in outside Pareto ponds
The optimization idiographic flow of the fin heat exchanger core based on dynamic pixel granularity of the present invention, as shown in Figure 4.For The object space S that n object function is formedn, according to the pixel granularity G=(g in object function dimension1,...,gi,..., gn), corresponding object function dimension is divided into M=(m1,...,mi,...,mn) individual block of pixels, these block of pixels coverage goals Space Sn, each block of pixels location of pixels P=(p1,...,pi,...,pn) mark it in object space SnIn position, its In 0≤pi≤mi, giRepresent object function fiPixel granularity in dimension;miRepresent object function fiThe maximum of dimension with most The number that the difference of small value is divided equally.In order to determine that particle is in object space S in outside Pareto pondsnMiddle matched block of pixels, Need the location of pixels P of calculating particle.Location of pixels p of the particle in each object function dimensioniCalculation formula it is as follows, and adopt The mode that rounds up is taken by piConsolidation.
In formula--- particle X in the outside Pareto ponds that kth generation obtainsiIn object function fiOn value
--- represent that particle is in object function f in the outside Pareto ponds of kth generation acquisitioniOn minimum value
--- represent that particle is in object function f in the outside Pareto ponds of kth generation acquisitioniOn maximum
mi--- in kth generation, is by object function dimension fiNumber respectively,
gi--- kth is for object function fiThe pixel granularity of dimension
Block of pixels in each object space is at most pertaining only to particle in an outside Pareto pond, is searched to expand population Rope scope and increase population are various, therefore during iteration, with the pixel granularity g on dimensioniDynamic updates in real time. Pixel granularity gi(t) dynamic more new formula is as follows:
G in formulai--- ensure the pixel granularity of object function precision
T --- current iteration algebraically
tmax--- greatest iteration algebraically
1.5 adaptive intersections and mutation operation
For dominating solution inside contemporary population, the present invention is adaptively calculated pairing according to the pixel distance between pairing Crossing-over rate.The adaptive intersection and mutation operation of the present invention, as shown in Figure 4.The small pairing crossing-over rate of pixel distance is small, and The big pairing crossing-over rate of pixel distance is big.By crossover operation, strengthen the diversity and ability of searching optimum of population.Such as match Particle Xj、XkLocation of pixels P (j), P (k), pairing crossing-over rate is Pjkc, calculation formula is:
P in formulacmax--- crossing-over rate maximum
Pcmin--- crossing-over rate minimum value
Hc--- crossing-over rate regulation coefficient
--- particle XjWith XkPixel distance
--- for matching the crossover operation of particle, the present invention will use the maximum pixel distance with centering The method intersected at random, the new particle after being intersected.
For contemporary non-domination solution, the present invention is adaptively calculated the aberration rate of particle according to the pixel distance of particle. Pixel distance is bigger, demonstrates the need for strengthening the Local Search to the particle.The big individual variation rate of pixel distance is big, and pixel away from It is small from small individual variation rate.By mutation operation, strengthen population local search ability.Such as particle X in internal Pareto pondsj Aberration rate be Pjm, calculation formula is:
P in formulammax--- aberration rate maximum
Pmmin--- aberration rate minimum value
Hm--- aberration rate regulation coefficient
Δ P (j) --- particle XjPixel distance
Max (Δ P) --- the maximum pixel distance of internal Pareto ponds particle
The method for using Gaussian mutation for the mutation operation of particle, the present invention.Such as particle X in internal Pareto pondsj It is X' to take the new particle after Gaussian mutationj
if Pjm> Pm
X'j=Xj(1+0.5*N(0,1))
P in formulam--- Population Variation rate
N (0,1) --- obedience is desired for 0, and variance is 1 Gaussian Profile
1.6 determine population globally optimal solution
The pixel distance of the non-head and the tail particle of the present invention calculates schematic diagram, as shown in Figure 5.The picture of the head and the tail particle of the present invention Element distance calculates schematic diagram, as shown in Figure 6.By the location of pixels set after particle consolidation in outside Pareto ponds by random selection Target function value carry out ascending order arrangement.Because each pixel granularity of the particle on each object function is identical, only The location of pixels difference only calculated between adjacent particles is assured that the distance between adjacent particles.Such as regular rear particle k Pixel distance Δ P (k) calculation formula between adjacent particles are as follows:
P (k+1), P (k-1) in formula --- after sequence with the location of pixels of particle k adjacent particles
|pi(k+1)-pi(k-1) | --- in object function fiThe pixel distance of dimension
N --- object function sum
Above-mentioned formula does not cover the first and last particle after sequence, although particle cluster algorithm uses the optimizing side of random paralleling Formula, continue to a certain extent in the periphery optimizing of first and last particle.In order to ensure more efficiently to determine population globally optimal solution, prevent Only cause population Pareto disaggregation coverage to reduce because first and last particle is given up, that is, prevent " precocity " phenomenon, it is therefore desirable to Reasonably calculate the pixel distance of first and last particle.The present invention calculates the pixel distance Δ P of first and last particle using equation below respectively:
Δ P (s) in formula --- the pixel distance of the first particle after sequence
P (s+1) --- with the first particle adjacent particles
Δ P (e) --- the pixel distance of end particle
P (e-1) --- with end particle adjacent particles
L --- influence coefficient
At iteration initial stage, l takes higher value, to expand population hunting zone, increases population diversity, with entering for iteration OK, in order to strengthen population Local Search precision, l takes smaller value.
As shown in figure 1, a kind of fin heat exchanger core Optimization Design proposed by the present invention, its flow include:It is defeated Enter heat exchanger main performance requirements and physical properties of fluids parameter, build mathematical modeling, obtained using modified particle swarm optiziation optimal Solution.
Now exemplified by optimizing certain fin heat exchanger core structure optimization, heat exchanger hot side is two flows, and cold side is one stream Journey, heat exchanger core body general structure as shown in Fig. 2 heat exchanger core body flow passage structure as shown in figure 3, and without phase in heat transfer process Become, implement comprising the following steps that for the present invention:
First step:The design performance requirement of plate-fin heat exchanger is inputted, refers to table 1;
The design performance requirement of the heat exchanger of table 1
Second step:Cold and hot fluid physical parameter is inputted, refers to table 2;
The cold and hot fluid physical parameter of table 2
Parameter μ/(Pa·s) λ/(W·m-2·K-1) cp/(kJ·kg-1·K-1) Pr
Hot fluid 23.8502*10-6 3.5296*10-6 1.0144 0.6813
Cold fluid 22.0797*10-6 3.2376*10-6 1.0094 0.6877
Third step:Cold and hot fluid both sides fin type is inputted, refers to table 3;
The hot and cold both sides fin type of table 3
Four steps:Build multiple-objection optimization mathematical modeling;
F (X)=f (L1,L2,s1f,s2f,s1,s21f2fp)=f (x1,x2,x3,x4,x5,x6,x7,x8,x9), in formula Optimal Parameters meaning and restriction range refer to table 4.
5th step:Input structure Optimal Parameters constraints, refers to table 4;
The input structure Optimal Parameters constraints of table 4
6th step:Initialize population;
(1) each relevant parameter of particle cluster algorithm is specified, refers to table 5;
Table 5 specifies each relevant parameter of particle cluster algorithm
(2) 200 particles, the position vector of each particle are generated at random
X=[L1,L2,s1f,s2f,s1,s21f2fp]=[x1,x2,x3,x4,x5,x6,x7,x8,x9], and
(3) the velocity vector V=[v of each particle are generated at random1,v2,v3,v4,v5,v6,v7,v8,v9], and
(4) all particles are evaluated using fitness function f;
(5) evaluation of estimate will be initialized as history optimal solution Pi, optimal solution in total group is found according to particle pixel distance Pg
7th step:Optimal solution is found in maximum iteration;
1) position of Population Regeneration particle and speed;
2) fitness value of particle is calculated, judges dominance relation, internal dominate is updated and solves and non-domination solution set;
3) intersection and mutation operation probability are adaptively calculated, takes random intersect and Gaussian mutation operation, renewal respectively The position of particle, update internal non-domination solution set;
4) judge internal non-domination solution and the dominance relation of outside Pareto solutions, and update outside Pareto ponds;
5) using dynamic renewal pixel granularity, the location of pixels of particle in outside Pareto ponds is calculated, and reject same picture The unnecessary particle of plain position;
6) pixel distance of particle in outside Pareto ponds is calculated, chooses the pixel distance particle of maximum as the population overall situation most Excellent particle;
7) whether evaluation algorithm meets end condition, if it is, terminating to calculate, optimal solution is obtained, otherwise into the 5th Step.
8th step:On the basis of heat exchanger structure is improved, the cold and hot passage of heat exchanging device is laid out optimization, is changed The optimal solution of hot device core design parameter, complete the fin heat exchanger core structure optimization based on dynamic pixel granularity and set Meter.
The effect that fin heat exchanger core optimum structure design method proposed by the present invention is applied in certain design of heat exchanger Fruit refers to table 6.
The traditional design of table 6 and optimization design contrast table of the present invention
Parameter Traditional design Optimization design of the present invention
Hot side fluid flow path length L1(core body)/mm 260 255
Cold size fluid flows length L2(core body)/mm 200 195
Hot side spacing of fin s1f/mm 1 0.6225
Cold side spacing of fin s2f/mm 1.5 2
Hot side plate distance s1/mm 5 5.1637
Cold side plate distance s1/mm 7.5 6.5
Hot side fin thickness δ1f/mm 0.15 0.1
Cold side fin thickness δ2f/mm 0.15 0.1
Block board thickness δp/mm 0.5 0.3
Heat exchange efficiency ηmin 0.96 0.96
Hot side fin pressure drop Δ p1max/kPa 8.667 9.42
Cold side fin pressure drop Δ p2max/kPa 13.1 7.22
Core body gross weight F/kg 3.9231 2.9716

Claims (3)

1. a kind of fin heat exchanger core structural optimization method based on dynamic pixel granularity, it is characterised in that this method Step is as follows:
1) determine to need the main performance requirements of plate-fin heat exchanger and the physical parameter of fluid optimized;
2) determine core optimized variable and its constraints, that is, determine Structure Optimization Variables vector X phenotypes and problem Solution space;One group of optimized variable of core body represents as follows:
X={ x1,x2,x3,…,xk}
In formula, xiAn optimized amount in optimized variable vector is represented, i=1~k, i represent optimized variable ordinal number, and k represents optimization Total number of variable;
3) according to the 2) optimized variable and its constraints that step obtains establish Optimized model, determine the type of object function And its mathematical description form or quantization method, that is, final optimal solution;Optimized model is established to be described as follows with formula:
Solve:f(x1,x2,x3,…,xk)
Target:minf(x1,x2,x3,…,xk)
Constraint:g(x1,x2,x3,…,xk)≤0
h(x1,x2,x3,…,xk)=0
<mrow> <msubsup> <mi>x</mi> <mi>i</mi> <mi>min</mi> </msubsup> <mo>&amp;le;</mo> <msub> <mi>x</mi> <mi>i</mi> </msub> <mo>&amp;le;</mo> <msubsup> <mi>x</mi> <mi>i</mi> <mi>max</mi> </msubsup> </mrow>
In formula, xiAn optimized amount in optimized variable vector is represented, k represents optimized variable sum,WithRefer to respectively excellent Change the possible value of minimum and maximum of the corresponding optimized amount in variable vector, f () represents the object function of optimization problem, g () table Show inequality constraints, h () represents equality constraint;
4) establish after Optimized model, the feasible solution of optimized variable vector is represented using the particle in population, set population to advise Mould, iterative algebra, pixel granularity and outside Pareto ponds initiation parameter, and position to all particles and speed carry out it is initial Change;
5) position of Population Regeneration particle and speed;
For the position of population particle, the object space S formed for n object functionn, according in object function dimension Pixel granularity G=(g1,...,gi,...,gn), corresponding object function dimension is divided into M=(m1,...,mi,...,mn) individual Block of pixels, these block of pixels coverage goal space Ssn, each block of pixels location of pixels P=(p1,...,pi,...,pn) mark Remember it in object space SnIn position, wherein 0≤pi≤mi, giRepresent object function fiPixel granularity in dimension;miRepresent By object function fiThe number that the difference of the maxima and minima of dimension is divided equally;
Location of pixels p of the particle in each object function dimensioniCalculation formula it is as follows, and take the mode that rounds up by pi Consolidation:
<mrow> <msub> <mi>p</mi> <mi>i</mi> </msub> <mo>=</mo> <mfrac> <mrow> <mo>|</mo> <msubsup> <mi>f</mi> <mi>i</mi> <mi>k</mi> </msubsup> <mrow> <mo>(</mo> <msub> <mi>X</mi> <mi>i</mi> </msub> <mo>)</mo> </mrow> <mo>-</mo> <msubsup> <mi>f</mi> <mrow> <mi>i</mi> <mi>m</mi> <mi>i</mi> <mi>n</mi> </mrow> <mi>k</mi> </msubsup> <mrow> <mo>(</mo> <mi>X</mi> <mo>)</mo> </mrow> <mo>|</mo> </mrow> <mrow> <mo>|</mo> <msubsup> <mi>f</mi> <mrow> <mi>i</mi> <mi>max</mi> </mrow> <mi>k</mi> </msubsup> <mrow> <mo>(</mo> <mi>X</mi> <mo>)</mo> </mrow> <mo>-</mo> <msubsup> <mi>f</mi> <mrow> <mi>i</mi> <mi>m</mi> <mi>i</mi> <mi>n</mi> </mrow> <mi>k</mi> </msubsup> <mrow> <mo>(</mo> <mi>X</mi> <mo>)</mo> </mrow> <mo>|</mo> </mrow> </mfrac> <mo>*</mo> <msub> <mi>m</mi> <mi>i</mi> </msub> <mo>=</mo> <mfrac> <mrow> <mo>|</mo> <msubsup> <mi>f</mi> <mi>i</mi> <mi>k</mi> </msubsup> <mrow> <mo>(</mo> <msub> <mi>X</mi> <mi>i</mi> </msub> <mo>)</mo> </mrow> <mo>-</mo> <msubsup> <mi>f</mi> <mrow> <mi>i</mi> <mi>m</mi> <mi>i</mi> <mi>n</mi> </mrow> <mi>k</mi> </msubsup> <mrow> <mo>(</mo> <mi>X</mi> <mo>)</mo> </mrow> <mo>|</mo> </mrow> <msub> <mi>g</mi> <mi>i</mi> </msub> </mfrac> </mrow>
In formula--- particle X in the outside Pareto ponds that kth generation obtainsiIn object function fiOn value;—— Represent that particle is in object function f in the outside Pareto ponds of kth generation acquisitioniOn minimum value;--- represent that kth generation is obtained Particle is in object function f in the outside Pareto ponds obtainediOn maximum;
And pixel granularity gi(t) dynamic more new formula is as follows:
<mrow> <msub> <mi>g</mi> <mi>i</mi> </msub> <mrow> <mo>(</mo> <mi>t</mi> <mo>)</mo> </mrow> <mo>=</mo> <msub> <mi>g</mi> <mi>i</mi> </msub> <mo>*</mo> <msup> <mi>e</mi> <mrow> <mfrac> <mi>t</mi> <msub> <mi>t</mi> <mi>max</mi> </msub> </mfrac> <mo>-</mo> <mn>1</mn> </mrow> </msup> </mrow>
In formula, t --- current iteration algebraically;tmax--- greatest iteration algebraically;
6) fitness value of particle is calculated, judges dominance relation, internal dominate is updated and solves and non-domination solution set;
7) intersection and mutation operation probability are adaptively calculated, takes random intersect and Gaussian mutation operation, more new particle respectively Position, update internal non-domination solution set;
8) judge internal non-domination solution and the dominance relation of outside Pareto solutions, and update outside Pareto ponds;
9) using dynamic renewal pixel granularity, the location of pixels of particle in outside Pareto ponds is calculated, and reject same pixel position The unnecessary particle put;
10) pixel distance of particle in outside Pareto ponds is calculated, the pixel distance particle for choosing maximum is population global optimum Particle;
11) whether evaluation algorithm meets end condition, if it is, terminating to calculate, obtains optimal solution, otherwise into the 5) step Suddenly.
2. a kind of fin heat exchanger core structural optimization method based on dynamic pixel granularity according to claim 1, It is characterized in that:Described the 7) in step, is adaptively calculated intersection and mutation operation probability refers to:The intersection of particle and variation Evolutionary operator probability is according to the pixel distance of particle come dynamic access.
3. a kind of fin heat exchanger core structural optimization method based on dynamic pixel granularity according to claim 1, It is characterized in that:Described the 9) in step, is referred to using dynamic renewal pixel granularity:Updated according to iterations dynamic.
CN201510066295.7A 2015-02-09 2015-02-09 A kind of fin heat exchanger core structural optimization method based on dynamic pixel granularity Expired - Fee Related CN104657551B (en)

Priority Applications (1)

Application Number Priority Date Filing Date Title
CN201510066295.7A CN104657551B (en) 2015-02-09 2015-02-09 A kind of fin heat exchanger core structural optimization method based on dynamic pixel granularity

Applications Claiming Priority (1)

Application Number Priority Date Filing Date Title
CN201510066295.7A CN104657551B (en) 2015-02-09 2015-02-09 A kind of fin heat exchanger core structural optimization method based on dynamic pixel granularity

Publications (2)

Publication Number Publication Date
CN104657551A CN104657551A (en) 2015-05-27
CN104657551B true CN104657551B (en) 2018-02-09

Family

ID=53248671

Family Applications (1)

Application Number Title Priority Date Filing Date
CN201510066295.7A Expired - Fee Related CN104657551B (en) 2015-02-09 2015-02-09 A kind of fin heat exchanger core structural optimization method based on dynamic pixel granularity

Country Status (1)

Country Link
CN (1) CN104657551B (en)

Families Citing this family (7)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN106844892B (en) * 2016-12-29 2021-01-01 大族激光科技产业集团股份有限公司 Method and device for optimally designing structure of exhaust pipeline of laser processing machine tool
DE102017110912B4 (en) 2017-05-19 2023-07-13 Howatherm Klimatechnik Gmbh Multidimensional, relational optimization method for the design of a heat exchanger in an air conditioning system
CN108090307B (en) * 2018-01-16 2021-02-19 浙江工业大学 Multi-working-condition plate-fin heat exchanger channel layout design method based on integral average temperature difference method
CN110779378B (en) * 2018-07-31 2021-02-19 中国科学院工程热物理研究所 Method for intensifying heat exchange
CN110160380A (en) * 2019-06-03 2019-08-23 中国矿业大学 A kind of broad passage plate heat exchanger and heat exchanger particle group optimizing construction design method
CN110750861B (en) * 2019-09-11 2022-11-08 东南大学 Structure optimization method of phase change heat storage unit
CN112948970A (en) * 2021-03-01 2021-06-11 西北工业大学 Design method of spiral evaporation tube structure based on spherical convex fins

Family Cites Families (2)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN2210373Y (en) * 1994-02-19 1995-10-18 吕志元 Vortex flow plate type and plate-shell type heat exchanger with automatic scale removing function
CN102489924B (en) * 2011-12-22 2014-11-19 浙江大学 Combined type flexible clamp for vacuum brazing of core body of plate-fin type aluminum heat exchanger

Non-Patent Citations (3)

* Cited by examiner, † Cited by third party
Title
基于粒子群算法的内外翅片管换热器优化;韩武涛,谢公南,曾敏,王秋旺;《高校化学工程学报》;20081031;第22卷(第5期);全文 *
基于领地行为的多目标粒子群算法及在板翅换热器设计中的应用;藏明君,张树有,郏维强,徐敬华;《计算机集成制造***》;20150131;第21卷(第1期);第1-4节 *
板翅式换热器的多目标优化设计;石景祯,崔晓钰,胡忠霞;《动力工程》;20051031;第25卷;全文 *

Also Published As

Publication number Publication date
CN104657551A (en) 2015-05-27

Similar Documents

Publication Publication Date Title
CN104657551B (en) A kind of fin heat exchanger core structural optimization method based on dynamic pixel granularity
CN109508851B (en) Comprehensive performance evaluation method for small lead-based reactor supercritical carbon dioxide cycle power generation system
Peng et al. Optimal design approach for the plate-fin heat exchangers using neural networks cooperated with genetic algorithms
CN103542621B (en) A kind of method for designing of general combination pipe diameter air conditioner heat exchange equipment fluid passage
CN104019520B (en) Data drive control method for minimum energy consumption of refrigerating system on basis of SPSA
Ünal Theoretical analysis of triple concentric-tube heat exchangers Part 2: Case studies
US20040083012A1 (en) Method of modeling and sizing a heat exchanger
CN108090307B (en) Multi-working-condition plate-fin heat exchanger channel layout design method based on integral average temperature difference method
Silaipillayarputhur et al. The design of shell and tube heat exchangers–A review
CN107665280A (en) A kind of Retrofit of Heat Exchanger Networks optimization method based on performance simulation
Raja et al. Thermal performance of a multi-block heat exchanger designed on the basis of Bejan’s constructal theory
Chen et al. The power flow topology of heat transfer systems at supercritical conditions for performance analysis and optimization
CN110059372A (en) A kind of objective design method of the shell-and-tube heat exchanger based on differential evolution algorithm
CN204705216U (en) Leakage resistance vapour type shell-and-tube experiment condenser
CN114048572A (en) Design calculation method of large variable-physical-property shell-and-tube heat exchanger
CN110617730B (en) Heat exchanger based on rib root pore channel jet flow and heat exchange method thereof
CN207540401U (en) A kind of incorgruous finned tube baffling shell-and-tube heat exchanger
CN109614712A (en) A kind of spiral winding tube type heat exchanger HEAT EXCHANGE ANALYSIS system
CN105160062B (en) A kind of same journey hydraulic pipeline check method
CN206073766U (en) Carbon dioxide cooler and the heat pump comprising the carbon dioxide cooler
CN111402074B (en) Comprehensive optimization method for mass energy of circulating water system
Comini et al. Numerical simulation of convective heat and mass transfer in banks of tubes
Silva et al. Particle Swarm Optimisation in heat exchanger network synthesis including detailed equipment design
CN102305560A (en) Design method of plate heat exchanger
El-Hakim et al. CFD analysis andheat transfer characteristics of printed circuit heat exchanger

Legal Events

Date Code Title Description
C06 Publication
PB01 Publication
C10 Entry into substantive examination
SE01 Entry into force of request for substantive examination
GR01 Patent grant
GR01 Patent grant
CF01 Termination of patent right due to non-payment of annual fee

Granted publication date: 20180209

Termination date: 20220209

CF01 Termination of patent right due to non-payment of annual fee