CN105184056B - SOFC electrostatic spinning electrode nanoparticle, which exceedes, oozes probability computational methods - Google Patents
SOFC electrostatic spinning electrode nanoparticle, which exceedes, oozes probability computational methods Download PDFInfo
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Abstract
The present invention, which discloses a kind of SOFC electrostatic spinning electrode nanoparticle and exceeded, oozes probability computational methods, comprises the following steps：The geometry that build electrostatic spinning geometric electrode model, constructs under different pickups according to dipping nano particle amount, judge whether each particle belongs to exceed and ooze cluster, and calculate to exceed and ooze probability, show that exceeding under different pickups oozes probability by series of computation, find out the percolation threshold that electrostatic spinning electrode impregnates nano particle.The present invention be capable of fast accurate draw electrostatic spinning electrode dipping exceeding for nano particle ooze probability, for SOFC electrostatic spinning impregnated electrode experiment make provide theoretical direction.
Description
Technical field
The present invention relates to fuel cell field, and in particular to a kind of SOFC electrostatic spinning electrode nanometer
Particle, which exceedes, oozes probability computational methods.
Background technology
Thermal power generation mode is that the chemical energy of material first is converted into heat energy, then heat energy is converted into mechanical energy, finally handle
Mechanical energy is converted into electric energy, and energy conversion links are more, and loss is larger, and its overall efficiency is restricted by Carnot cycle, because
This its capacity usage ratio is not high；And the pollutant emission of thermal power generation mode is serious, the sustainable development for directly threatening the mankind is
To living environment.Therefore the mankind are in the urgent need to a kind of direct, efficient and cleaning generation mode.
Chemical energy is converted directly into electric energy, energy by fuel cell as a kind of generation mode based on electrochemical reaction
Conversion links are few, and do not limited by Carnot cycle, are a kind of extremely efficient generating approach；And firepower is free of in its emission
Dust, the NO of electricity-generating methodx、SOxIt is a kind of generation mode cleaned very much again Deng pollutant.These advantages are based on, are fired
Material battery becomes the nova of energy field.As the SOFC of third generation fuel cell, due to its own
Many advantages：Efficiently, all solid state component, fuel-flexible, modular construction etc., it is considered to be most one kind of market prospects
Fuel cell.
SOFC is made up of anode, electrolyte and the part of negative electrode three, and anode and negative electrode are all born simultaneously
The task of conductive son and diversion, therefore be double-phase composite, comprising electron conducting material and leads ionic material.Current one is big
Study hotspot is how to obtain different electrode microscopic patterns by different material fabrication process, cell performance to improve
Energy.Electrostatic spinning electrode is a kind of electrode type newest at present, and it uses electrostatic spinning technique, by a certain phase in electrode
α is fabricated to spinning, and another phase β is attached to by way of dipping in the spinning of α phases.
From the manufacturing process and electrode microstructure of electrostatic spinning electrode, the β phases of spinning surface are attached to due to leaching
The difference of stain amount, it is understood that there may be unsatisfactory for exceeding the situation for oozing requirement, i.e., when pickup is relatively low, particle is due to being randomly distributed in spinning
Silk table face, it is impossible to form coherent exceeding and ooze cluster, also just without path supplied for electronic or Ion transfer.Therefore electrostatic spinning electrode nanometer
Particle, which exceedes, to be oozed probability and must accurately be estimated under different pickups, and requirement is oozed to assess whether that satisfaction exceedes.
At present electrostatic spinning electrode nanoparticle is exceeded ooze probability research method it is relatively limited, mainly by experiment side
Method, but go deep into the experiment of electrode microstructure and need to rely on a large amount of advanced equipments of high grade and precision, it is with high costs, and experiment can only be directed to all the time
The sample of only a few is studied, and to be carried out exceeding the rate of oozing under systematic research, such as different pickups, is then a time-consuming consumption
Power consumes the process of wealth.And also there are some unmanageable factors in experiment, such as due to single impregnation amount is limited, to meet and exceed
Ooze requirement, it is necessary to repeatedly impregnate repeatedly, this is just difficult to accurately control dipping effect, more can not accurately obtain percolation threshold.
In a word, current experimental method lacks theoretical direction, needs a theoretical model badly and calculates electrostatic spinning electrode exactly
Nano particle under different pickups, which exceedes, oozes probability, and draws percolation threshold, is made for experiment and provides crucial guidance.
The content of the invention
Goal of the invention：It is an object of the invention to solve the deficiencies in the prior art, there is provided a kind of soild oxide
Fuel cell electrostatic spinning electrode nanoparticle, which exceedes, oozes probability computational methods.
Technical scheme：A kind of SOFC electrostatic spinning electrode nanoparticle of the present invention, which exceedes, oozes probability meter
Calculation method, comprises the following steps：
(1) electrostatic spinning geometric electrode equivalent model is built：
Based on electrostatic spinning electrode microscopic pattern, include the obvious two parts of differentiating forms after electrostatic spinning electrode dipping,
I.e. cylindrical spinning and the dipping nano particle in sphere shape, dipping nano particle are attached to spinning surface；Using cylinder
The equivalent dipping nano particle of equivalent spinning, bead and the closely knit method for being attached to periphery of bead is set to set up electrostatic spinning electricity
Pole geometrical equivalence model；Wherein, adjacent one of bead one, which is attached between periphery and each bead, leaves no gaps；
(2) geometry under different pickups is built：
According to the difference of actual pickup, the random selected part dipping nanometer in the model that the step (1) is built
Particle is retained, and remaining dipping nano particle is rejected, so as to construct the geometry under different pickups；
(3) statistics calculating, which exceedes, oozes probability：
Based on round-robin algorithm is returned, judge whether each particle belongs to exceed and ooze cluster, for be not belonging to it is any exceed ooze of cluster
Grain must to exclude, finally count it is all exceed ooze granule number, calculate its and account for the nano particle number retained in the step (2)
Percentage be to exceed to ooze probability；Wherein, impregnated granules only belong to it is any exceed ooze cluster side and ooze particle to exceed, exceed that to ooze cluster be connection
Spinning bottom and any cluster particle on top；
(4) percolation threshold is calculated：
Show that exceeding under different pickups oozes probability by series of computation, find out electrostatic spinning electrode dipping nano particle
Percolation threshold.
Further, in the electrostatic spinning geometric electrode equivalent model of the step (1), the dipping of spinning surface attachment is received
Rice grain quantity is different and different with pickup, and the scale size of geometrical equivalence model is customized according to actual conditions.
Further, in the step (2), by rejecting partial immersion nano particle at random, set up under different pickups
Geometry, its detailed process is：
If N number of bead is had in the geometrical model for the closely knit covering set up in step (1) is attached to periphery, that is, there is N
Individual dipping nano particle is attached to spinning surface, the randomness being distributed based on impregnated granules in spinning surface, according to pickup ε's
Difference, is randomly chosen and retains the N number of beads of ε *, and remaining N number of bead of (1- ε) * is rejected, and the bead number of reservation is this
Nano particle number under pickup correspondence, so as to set up the geometry under any pickup ε.
Further, in the step (3),
From a particle of cylinder spinning surface bottommost, by Distance Judgment, find out from this bottom particles
The cluster of particle of hair, then judge whether the cluster of particle exceedes and ooze, and by it is all exceed ooze cluster and import in an array, every row record in array
The coordinate data of one particle, the line number of final gained array is to exceed to ooze granule number n, and exceedes and ooze probability and be thenIt has
Body process is as follows：
(31) coordinate information of the N number of particles of ε * retained in the step (2) is put into array A, and finds out these
It is located at the particle of the bottom in particle, the coordinate of the bottom particle is stored in array B, a caching array is then created again
C be used for store by a bottom particles derive Lai cluster of particle；
(32) oozed due to differing to establish a capital to exceed from the cluster of particle of each bottom particles, so obtaining a cluster of particle every time
After need to judge whether it exceedes to ooze, the deposit array D oozed is not exceeded, exceedes the deposit array E oozed；
(33) array set up after, searched using three circulations, be followed successively by from outside to inside the circulation of particle in array B,
In array A in the circulation of particle and array C particle circulation, i.e.,：First whether a particle in access group B, judge it in number
In group E or array D, if it is, showing that the particle has been retrieved storage, directly takes next bottom particles；If it is not, then table
The bright cluster of particle from this particle is not also judged and extracted, then is deposited into the array C of clearing, new as one
The beginning of cluster of particle；
(34) from the particle, into second layer circulation, whether particle in access group A, first judge its array successively
In C, if so, then next particle in direct access group A；If it is not, then by the particle judge successively with particle in array C away from
From being connected as long as finding it with particle in array C, be then deposited into array C, it can thus be appreciated that array C is constantly increasing, then
Program need to start anew from second layer circulation, array A and the later array C of renewal mutually be searched again, until array A
Whole circulation can be completed, shows that the particle owned in (A-C) is not in contact with any particle in C, i.e., one cluster of particle is
Through being found；At this moment need to only judge whether to exceed ooze after selection deposit D or E in；
(35) it is turning finally to outermost loop and takes next bottom particles, the lookup until completing all bottom particles, most
Output array E is all coordinate informations for exceeding and oozing particle eventually, and its line number is to exceed to ooze granule number n, and calculates to exceed and ooze probability
Beneficial effect：Calculating in the present invention is simple, amount of calculation is small, error is small, acquired results are accurate.
Brief description of the drawings
Fig. 1 is the geometrical model schematic diagram on closely knit covering spinning (cylinder) surface of impregnated granules (bead) in embodiment；
Fig. 2 is the model schematic that the pickup built in embodiment is ε=52.5%；
Fig. 3 is three kinds of different impregnated granules state schematic diagrames in the impregnation model that builds in embodiment；Wherein, Fig. 3 (a)
Exceed for cluster and ooze particle and (exceed and ooze cluster) schematic diagram, Fig. 3 (b) is to fail to connect cluster of particle (in oval frame) signal at spinning two ends
Figure, Fig. 3 (c) is isolated particle (in oval frame) schematic diagram；
Fig. 4 is the recurrence round-robin algorithm flow chart in the present invention；
Fig. 5 be embodiment in reject the non-result figure for exceeding and oozing after particle.
Embodiment
Technical solution of the present invention is described in detail below, but protection scope of the present invention is not limited to the implementation
Example.
Embodiment 1：
(certainly, the dipping so that the spinning of 720 (36 × 20) individual impregnated granules of closely knit covering and pickup are 52.5% as an example
Number can be set according to actual conditions), to elaborate SOFC electrostatic spinning electrode nanometer in the present invention
Particle exceedes the computational methods for oozing probability, and detailed process is as follows：
The first step：Build electrostatic spinning geometric electrode model
In the model set up in this step, impregnated granules is distributed as 36 every layer spinning surface, in wrong row's mode
Stack 20 layers, altogether 720 impregnated granules (N=720), i.e. the completely dense covering of the impregnated particle of spinning, as shown in Figure 1.
Second step：Build the geometry under different pickups
In order to set up the geometry under any pickup, need to the first step set up architecture basics on random erasure
Some beads.N=720 bead is had in the present embodiment and is attached to periphery, based on impregnated granules in spinning surface point
The randomness of cloth, according to pickup ε=52.5%, is randomly chosen and retains ε * N=52.5% × 720=378 bead, its
Remaining 720-378=342 are rejected, and the bead number of reservation is the nano particle number under pickup correspondence, so as to build
Geometry under vertical pickup ε=52.5%, as shown in Figure 2.
3rd step：Statistics calculating, which exceedes, oozes probability
Three kinds of forms of impregnated granules are listed in Fig. 3, the first (shown in such as Fig. 3 (a)) exceedes for one oozes cluster, and it can
Top is communicated to from the bottom of spinning, electronics or Ion transfer path is formed, cluster is oozed in similar exceeding can also find a lot, any
As long as particle with it is any exceed ooze cluster and be connected, as exceed and ooze particle；Second (shown in such as Fig. 3 (b)) is of connection spinning one end
Grain cluster, but it can not reach the other end, be also not belonging to exceed and ooze particle, need to reject.The third (as shown in Fig. 3 (c)) is for isolated
Particle, its not with it is any exceed ooze cluster and be connected, therefore be invalid particle, need to reject.
This implementation steps is according to round-robin algorithm is returned, and idiographic flow as shown in figure 4, judge whether each bead connects successively
Oozed in exceeding on cluster, being retained in connection, what is do not connected is rejected, final remaining bead number is n=310, is
Exceed and ooze total number of particles, such as Fig. 5.Exceed and ooze probability and can then be calculated as
4th step：Calculate percolation threshold
In order to eliminate random error, 10 models are calculated under each pickup, under the pickup exceed the rate of oozing for this 10
Individual model exceedes the average value for the rate of oozing.Pickup rises to 0.8 from 0.3 with 0.01 step-length, and each pickup is calculated respectively
Under exceed the rate of oozing.
When final data is shown in pickup and reaches 0.48 (48%), nano particle, which has begun to exceed, to be oozed, and reaches 0.6
(60%) when, the rate of oozing is exceeded close to 100%, therefore percolation threshold is about 48%.This conclusion can be electrostatic spinning electrode fabrication
Important reference is provided.
Claims (4)
1. a kind of SOFC electrostatic spinning electrode nanoparticle, which exceedes, oozes probability computational methods, it is characterised in that：
Comprise the following steps：
(1) electrostatic spinning geometric electrode equivalent model is built：
Based on electrostatic spinning electrode microscopic pattern, include the obvious two parts of differentiating forms after electrostatic spinning electrode dipping, that is, be in
Columned spinning and the dipping nano particle in sphere shape, dipping nano particle are attached to spinning surface；It is equivalent using cylinder
The equivalent dipping nano particle of spinning, bead and to make the closely knit method for being attached to periphery of bead set up electrostatic spinning electrode several
What equivalent model；
(2) geometry under different pickups is built：
According to the difference of actual pickup, the random selected part dipping nano particle in the model that the step (1) is built
Retained, remaining dipping nano particle is rejected, so as to construct the geometry under different pickups；
(3) statistics calculating, which exceedes, oozes probability：
Based on round-robin algorithm is returned, judge whether each particle belongs to exceed and ooze cluster, for be not belonging to it is any exceed ooze the particle palpus of cluster
Excluded, finally count it is all exceed ooze granule number, calculate its account for the nano particle number retained in the step (2) hundred
Divide than being to exceed to ooze probability；Wherein, impregnated granules only belong to it is any exceed ooze cluster side and ooze particle to exceed, exceed that to ooze cluster be connection spinning
Bottom and any cluster particle on top；
(4) percolation threshold is calculated：
Show that exceeding under different pickups oozes probability by series of computation, find out exceeding for electrostatic spinning electrode dipping nano particle
Ooze threshold value.
2. SOFC electrostatic spinning electrode nanoparticle according to claim 1, which exceedes, oozes probability calculating side
Method, it is characterised in that：In the electrostatic spinning geometric electrode equivalent model of the step (1), the dipping nanometer of spinning surface attachment
Amounts of particles is different and different with pickup, and the scale size of geometrical equivalence model is customized according to actual conditions.
3. SOFC electrostatic spinning electrode nanoparticle according to claim 1, which exceedes, oozes probability calculating side
Method, it is characterised in that：In the step (2), by rejecting partial immersion nano particle at random, set up several under different pickups
What structure, its detailed process is：
If N number of bead is had in the geometrical model for the closely knit covering set up in step (1) is attached to periphery, that is, there is N number of leaching
Stain nano particle is attached to spinning surface, the randomness being distributed based on impregnated granules in spinning surface, according to pickup ε not
Together, it is randomly chosen and retains the N number of beads of ε *, remaining N number of bead of (1- ε) * is rejected, and the bead number of reservation is the leaching
Nano particle number under stain amount correspondence, so as to set up the geometry under any pickup ε.
4. SOFC electrostatic spinning electrode nanoparticle according to claim 1, which exceedes, oozes probability calculating side
Method, it is characterised in that：In the step (3),
From a particle of cylinder spinning surface bottommost, by Distance Judgment, find out from this bottom particles
Cluster of particle, then judge whether the cluster of particle exceedes and ooze, and by it is all exceed ooze cluster and import in an array, every row record one in array
The coordinate data of particle, the line number of final gained array is to exceed to ooze granule number n, and exceedes and ooze probability and be thenIts specific mistake
Journey is as follows：
(31) coordinate information of the N number of particles of ε * retained in the step (2) is put into array A, and finds out these particles
In be located at the particle of the bottom, a caching array C then will be created again and is used in the coordinate deposit array B of the bottom particle
Come store by a bottom particles derive Lai cluster of particle；
(32) oozed due to differing to establish a capital to exceed from the cluster of particle of each bottom particles, so being needed after obtaining a cluster of particle every time
Judge whether it exceedes to ooze, the deposit array D oozed is not exceeded, exceed the deposit array E oozed；
(33) after array is set up, searched using three circulations, the circulation of particle in array B, array A are followed successively by from outside to inside
The circulation of particle in the circulation of middle particle and array C, i.e.,：A first particle in access group B, judge its whether in array E or
In array D, if it is, showing that the particle has been retrieved storage, directly takes next bottom particles；If it is not, then show from
The cluster of particle that this particle sets out also is not judged and extracted, then is deposited into the array C of clearing, is used as a new particle
The beginning of cluster；
(34) from the particle, into second layer circulation, particle in access group A successively, first judge its whether array in C
In, if so, then next particle in direct access group A；If it is not, then by the particle successively with particle judging distance in array C, only
Find it with particle in array C to be connected, be then deposited into array C, it can thus be appreciated that array C is constantly increasing, then program
It need to start anew from second layer circulation, array A and the later array C of renewal mutually be searched again, until array A can
Whole circulation is completed, shows that the particle in all A-C is not in contact with any particle in C, i.e., one cluster of particle is looked for
Arrive；A-C represents one by array A herein, without the array of all particles composition in array C, at this moment only needs to judge
Whether exceed after oozing in selection deposit D or E；
(35) it is turning finally to outermost loop and takes next bottom particles, the lookup until completing all bottom particles is final defeated
It is all coordinate informations for exceeding and oozing particle to go out array E, and its line number is to exceed to ooze granule number n, and calculates to exceed and ooze probability
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Citations (2)
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| EP2557207A1 (en) * | 2011-08-10 | 2013-02-13 | Samsung Electronics Co., Ltd. | Stretchable conductive nanofibers, stretchable electrode using the same and method of producing the stretchable conductive nanofibers |
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Patent Citations (2)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| EP2557207A1 (en) * | 2011-08-10 | 2013-02-13 | Samsung Electronics Co., Ltd. | Stretchable conductive nanofibers, stretchable electrode using the same and method of producing the stretchable conductive nanofibers |
| CN104156539A (en) * | 2014-08-22 | 2014-11-19 | 江苏科技大学 | Method for predicting gas transmission curvature factors of solid oxide fuel cell electrode |
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| 卓坚锐 等.静电纺丝接收装置和辅助电极的研究进展.《合成纤维工业》.2009,第32卷(第5期),第40-43页. * |
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