CN110083990A - The mechanics shock-sensitive characteristic Simulation method of piezoresistive electrodes double layer capacitor - Google Patents
The mechanics shock-sensitive characteristic Simulation method of piezoresistive electrodes double layer capacitor Download PDFInfo
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- CN110083990A CN110083990A CN201910450971.9A CN201910450971A CN110083990A CN 110083990 A CN110083990 A CN 110083990A CN 201910450971 A CN201910450971 A CN 201910450971A CN 110083990 A CN110083990 A CN 110083990A
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Abstract
The invention discloses a kind of mechanics shock-sensitive characteristic Simulation methods of piezoresistive electrodes double layer capacitor, comprising the following steps: establishes the electric double layer effect energy storage model of double layer capacitor, and constructs the piezoresistive effect model of porous electrode；Electric double layer effect energy storage model and piezoresistive effect model are subjected to integrated Coupling method, to obtain energy storage-shock-sensitive coupling model system；Simulation calculation is carried out using mechanics shock-sensitive characteristic of the finite element software to piezoresistive electrodes double layer capacitor according to energy storage-shock-sensitive coupling model system.This method can be realized to the dynamic simulation that electrical double layer capacitor electrodes resistance variations, electrochemical reaction process and output voltage change in mechanics impact process, double layer capacitor key structural parameters and running parameter can also be scanned, it is analyzed for the affecting laws of device mechanics shock-sensitive effect, the adjusting to mechanics shock-sensitive effect conspicuousness is peomoted, to adapt to the practical application in different application scene.
Description
Technical field
The present invention relates to double layer capacitor technical field, in particular to a kind of mechanics of piezoresistive electrodes double layer capacitor
Shock-sensitive characteristic Simulation method.
Background technique
Double layer capacitor is a kind of energy storage device based on electrochemical double-layer effect, compared to traditional capacitor, tool
There is the significant advantage that capacity density is big, has been widely used for the numerous areas such as electric car, wind power equipment at present.
Modeling and simulating is the important method in double layer capacitor design, passes through the pumping to electric double layer effect electrochemical process
As modeling, effective simulation calculation to the chemical property of double layer capacitor, institute during the alternate design of part may be implemented
The a large amount of cumbersome experiment tests needed.But existing double layer capacitor modeling and simulating method is all to its electrochemical process at present
It is approximate to have carried out idealization, can only be suitable for normal temperature and pressure environment, not consider temperature, pressure change for double layer capacitor
Disturbing effect.
However, as double layer capacitor is gradually more and more answered in wearable electronic and field of industry detection acquisition
With double layer capacitor device is in the operating condition inevitably by mechanical functions such as inertia impacts.And in fact, due to
The porous electrode of double layer capacitor has piezoresistive effect, and electrochemical properties are inevitably by the interference of mechanical function.
Therefore, there is an urgent need for effective modeling and simulating methods, imitate to the mechanics shock-sensitive characteristic of double layer capacitor
True analysis.
Summary of the invention
The present invention is directed to solve at least some of the technical problems in related technologies.
For this purpose, it is an object of the invention to propose that a kind of mechanics shock-sensitive characteristic of piezoresistive electrodes double layer capacitor is imitative
The dynamics simulation to double layer capacitor sensitivity characteristic in mechanics impact process may be implemented in true method, this method, including right
The accurate simulation calculating of electrode material conductivity, device output voltage.
In order to achieve the above objectives, the invention proposes the mechanics shock-sensitive characteristic Simulations of piezoresistive electrodes double layer capacitor
Method, comprising the following steps: step S1 establishes the electric double layer effect energy storage model of double layer capacitor, and constructs porous electrode
Piezoresistive effect model；The electric double layer effect energy storage model and the piezoresistive effect model are carried out integrated coupling by step S2
Mould is built jointly, to obtain energy storage-shock-sensitive coupling model system of double layer capacitor；Step S3, according to the energy storage-impact
Sensitive coupling model system is imitated using mechanics shock-sensitive characteristic of the finite element software to piezoresistive electrodes double layer capacitor
It is true to calculate.
The mechanics shock-sensitive characteristic Simulation method of the piezoresistive electrodes double layer capacitor of the embodiment of the present invention, can be to pressure drag
The mechanics shock-sensitive characteristic of electrode double layer capacitance device carries out effective simulation calculation, can be with analysis of key parameter for double electricity
The affecting laws of layer capacitor mechanics impact sensitivity, the shock-sensitive phenomenon for enhancing or suppression device provide design considerations.
In addition, the mechanics shock-sensitive characteristic Simulation of piezoresistive electrodes double layer capacitor according to the above embodiment of the present invention
Method can also have following additional technical characteristic:
Further, in one embodiment of the invention, the anode of the double layer capacitor and cathode are high ratio
The porous film material of surface area, and separated the anode and the cathode by diaphragm.
Further, in one embodiment of the invention, in the hole of the anode and the cathode and the diaphragm
Full of liquid electrolyte, cation and anion is set to adsorb to form double electrical layers to constitute solid-liquid interface.
Further, in one embodiment of the invention, the double of double layer capacitor are established described in the step S1
Electric layer effect energy storage model includes: step S101, and in porous electrode, the first surface electric current for obtaining electrolysis liquid phase is close
Degree；Step S102 obtains the surface current density and potential of electrode matrix phase in electrode matrix phase；Step S103, to described
The first surface current density of electrolysis liquid phase is modified, and obtains the potential of electrolysis liquid phase；Step S104, in diaphragm
In, obtain potential and the ion concentration field of electrolysis liquid phase；Step S105 obtains electric double layer electricity according to the mechanism of electric double layer effect
Current density；Step S106, the step S101~step S105 form the electric double layer effect energy storage mould of the double layer capacitor
Type.
Wherein, the step S103 includes: step S1031, using Ohm's law to the first of the electrolysis liquid phase
Surface current density is modified, to obtain the second surface current density of electrolysis liquid phase；Step S1032, by the electricity
The first surface current density of pole electrolysis liquid phase and the second surface current density of the electrolysis liquid phase are integrated, to obtain
Obtain the potential of the electrolysis liquid phase.
Optionally, in one embodiment of the invention, the electric double layer current density obtains equation are as follows:
Wherein, iDLIndicate current density caused by electric double layer effect, avIndicate the specific surface area of porous electrode, Cd1It indicates
The capacitance parameter closed, Ψ are wanted with electric double layer effectsIndicate the potential of electrode matrix phase, Ψ1Indicate the potential of electrolysis liquid phase, t
Indicate the time.
Further, in one embodiment of the invention, the electrode of the piezoresistive electrodes double layer capacitor is activity
Or mixtures thereof charcoal, carbon nanotube and porous material of graphene, with conductivity by the sensitivity characteristic of pressure influence.
Further, in one embodiment of the invention, the active carbon is by conductive carbon particle phase and nonconducting
Gap phase composition.
Further, in one embodiment of the invention, there are microscopic voids for the active carbon, so that the active carbon
It differs greatly with the conductivity of the hole phase, the porous material is considered as composite material.
Further, in one embodiment of the invention, the composite material has piezoresistive effect, wherein the pressure
Inhibition effect are as follows:
Wherein, Φc(0) the critical size ratio under indicating zero-pressure by force, m indicate that the pressure sensitivity coefficient of composite material, p indicate
Pressure.
The additional aspect of the present invention and advantage will be set forth in part in the description, and will partially become from the following description
Obviously, or practice through the invention is recognized.
Detailed description of the invention
Above-mentioned and/or additional aspect and advantage of the invention will become from the following description of the accompanying drawings of embodiments
Obviously and it is readily appreciated that, in which:
Fig. 1 is the mechanics shock-sensitive characteristic Simulation method according to the piezoresistive electrodes double layer capacitor of the embodiment of the present invention
Flow chart；
Fig. 2 is the double layer capacitor structural schematic diagram according to the embodiment of the present invention；
Fig. 3 is the double layer capacitor electric double layer effect principle figure according to the embodiment of the present invention；
Fig. 4 is the conductive mechanism schematic diagram according to the porous electrode of the double layer capacitor of the embodiment of the present invention；
Fig. 5 is the electrode pressure drag shock-sensitive mechanism schematic diagram according to the double layer capacitor of the embodiment of the present invention, wherein
(a) be no pressure when porous material microscopic particles it is sparse, (b) for by porous material when pressure microscopic particles comparatively dense；
Fig. 6 is according to the charging and discharging curve of the double layer capacitor of the embodiment of the present invention, and (a) impacts feelings for no acceleration
Condition is (b) in discharge process by acceleration impact condition；
Fig. 7 is the corresponding relationship emulation knot for rising peak amplitude and impact acceleration size according to the voltage of the embodiment of the present invention
Fruit figure；
Fig. 8 is the relational graph for rising peak amplitude and acceleration according to voltage under the different parameters of the embodiment of the present invention, wherein
(a) under Different electrodes thickness situation；(b) under different discharge current density situations；
Fig. 9 is to rise peak amplitude variation diagram according to the voltage under the different parameters of the embodiment of the present invention, wherein (a) is not
Same thickness of electrode (b) is different discharge current densities.
Specific embodiment
The embodiment of the present invention is described below in detail, examples of the embodiments are shown in the accompanying drawings, wherein from beginning to end
Same or similar label indicates same or similar element or element with the same or similar functions.Below with reference to attached
The embodiment of figure description is exemplary, it is intended to is used to explain the present invention, and is not considered as limiting the invention.
The mechanics impact of the piezoresistive electrodes double layer capacitor proposed according to embodiments of the present invention is described with reference to the accompanying drawings
Sensitivity characteristic emulation mode.
Fig. 1 is the mechanics shock-sensitive characteristic Simulation method of the piezoresistive electrodes double layer capacitor of one embodiment of the invention
Flow chart.
As shown in Figure 1, the mechanics shock-sensitive characteristic Simulation method of the piezoresistive electrodes double layer capacitor includes following step
It is rapid:
In step sl, the electric double layer effect energy storage model of double layer capacitor is established, and constructs the pressure drag of porous electrode
Effect model.
Wherein, the anode of double layer capacitor and cathode are the porous film material of high-specific surface area, and will by diaphragm
Anode and cathode separate.
Specifically, as shown in Fig. 2, the positive and negative anodes of double layer capacitor are the porous membrane material with high-specific surface area
Material, centre are separated by diaphragm, and liquid electrolyte is full of in the hole of electrode and diaphragm.
As shown in figure 3, porous electrode, which has, forms solid-liquid interface abundant between micropore structure, with electrolyte.
The electric double layer effect energy storage mechanism of double layer capacitor is based on negative ions absorption at solid-liquid interface and is formed by electric double layer
Structure.
Further, in one embodiment of the invention, the electric double layer effect of double layer capacitor is established in step S1
Energy storage model specifically includes:
Step S101 obtains the first surface current density of electrolysis liquid phase in porous electrode.
Step S102 obtains the surface current density and potential of electrode matrix phase in electrode matrix phase.
Step S103 is modified the first surface current density of electrolysis liquid phase, obtains electrolysis liquid phase
Potential.
Wherein, step S103 includes:
Step S1031 is modified using first surface current density of the Ohm's law to electrolysis liquid phase, to obtain
The second surface current density of electrolysis liquid phase；
Step S1032, by the second surface of the first surface current density of electrolysis liquid phase and electrolysis liquid phase electricity
Current density is integrated, to obtain the potential of electrolysis liquid phase.
Step S104 obtains potential and the ion concentration field of electrolysis liquid phase in diaphragm.
Step S105 obtains electric double layer current density according to the mechanism of electric double layer effect.
Step S106, step S101~step S105 composition double layer capacitor electric double layer effect energy storage model.
Wherein, electric double layer current density obtains equation are as follows:
Wherein, iDLIndicate current density caused by electric double layer effect, avIndicate the specific surface area of porous electrode, Cd1It indicates
The capacitance parameter closed, Ψ are wanted with electric double layer effectsIndicate the potential of electrode matrix phase, Ψ1Indicate the potential of electrolysis liquid phase, t
Indicate the time.
The electric double layer effect energy storage model that double layer capacitor is established in step S1 is carried out combined with specific embodiments below
It is described in detail.
The essence of the charge and discharge process of double layer capacitor is the formation and disintegration of microcosmic double electrical layers, and thus produces
The couple variations of potential in raw electrode and electrolyte, ion concentration.Two portions of electrode and diaphragm for double layer capacitor
Point, the embodiment of the present invention constructs electric field and concentration of electrolyte field model respectively, carries out Dynamic Modeling research.
Firstly, in porous electrode, it can be by electric double layer electric current from the electric current of electrode matrix phase flow direction electrolysis liquid phase
Description,
Wherein, i1Indicate the surface current density of electrolysis liquid phase, iDLIndicate that electric current caused by electric double layer effect is close
Degree.
For electrode matrix phase, the relationship between electric current and potential can be provided by Ohm's law,
Wherein, isFor the surface current density of electrode matrix phase, σs,effThe equivalent conductivity and Ψ of electrode matrix phasesFor electricity
The potential of pole matrix phase.
But for electrolysis liquid phase, need to carry out concentration field amendment to Ohm's law,
Wherein, i1For the surface current density of electrolysis liquid phase, σ1,effFor the equivalent conductivity of electrolysis liquid phase,
Ψ1For the potential of electrolysis liquid phase, t+For the transfer ratio of electrolyte solution, c1For the ion concentration of electrolyte solution, F, R
Faraday constant, universal gas constant and kelvin degree are respectively indicated with T.
In pore media, it is electrolysed the equivalent conductivity σ of liquid phase1,effObey the graceful relationship in Prague namely σ1,eff=σ1
ε1 1.5, wherein σ1For electrolyte ion conductivity, ε1Indicate the porosity of electrode.
The potential equation for being electrolysed liquid phase can be obtained by equation (1) and (3) simultaneous
Due to charge conservation,Always it sets up, this charge conservation equation and equation (2) simultaneous obtains
?
Ion concentration field is influenced by reflection electric current and Ion transfer simultaneously, as shown in equation (6)
Wherein, ε1And D1,effThe porosity of electrode and the ionic diffusion coefficient of electrolyte solution are respectively indicated, when t is indicated
Between.
In membrane portions, since diaphragm matrix is non-conductive, is=0.So availableAnd then it is electrolysed liquid phase
Potential equation can be expressed as
Similar with equation (6), since membrane portions do not have electric double layer reaction, the ion concentration field equation for being electrolysed liquid phase can be with
It is given by,
According to the mechanism of electric double layer effect, electric double layer current density iDLIt can be calculated by following formula:
Wherein, avIndicate the specific surface area of porous electrode, CdlIndicate capacitance parameter related with electric double layer effect.
Equation (1)~(9) constitute the kinetic model of electric double layer storage effect.It is double but under mechanics percussion
Electric layer capacitor also has shock-sensitive effect, and kinetic model needs further progress to correct, therefore constructs the pressure of porous electrode
Inhibition effect model.
The piezoresistive effect model that porous electrode is constructed in step S1 is described in detail combined with specific embodiments below.
The equivalent conductivity σ of electrode matrix phases,effIt is an important ginseng in double layer capacitor stored energy power model
Number, has a major impact its output voltage signal.In the related art, the particle electricity of equivalent conductivity and electrode is thought mostly
Conductance σsFor the graceful relationship (σ in Pragues,eff=σs(1-ε1)1.5), and have ignored influence of the electrode pressure to equivalent conductivity
Effect.In fact, the common multi-hole electrode film such as active carbon all has piezoresistive effect, piezoresistive characteristic can be according to below
Method is modeled.
It is understood that double layer capacitor has the piezoresistive electrodes of mechanics shock-sensitive performance, impacts and make in mechanics
Under, double layer capacitor generates the wave phenomenon of output voltage because of sensitive change of its electrode resistance value, wherein electric double layer electricity
The electrode of container is or mixtures thereof porous materials such as active carbon/carbon/graphene, has conductivity by pressure influence
Sensitivity characteristic.
There are a large amount of microscopic void, the conductivity difference poles of active carbon phase and hole phase between active carbon particle
Greatly, thus composite material can be considered as.As shown in figure 4, the number for the conductive path that the conductive capability of composite material depends on.
Conductive path is more, and the conductive capability of composite material is stronger.For microcosmic angle, the formation of conductive path is dependent on adjacent
The breakdown in gap between the contact or particle of highly conductor phase particle.
As shown in figure 4, the quantity of conductive path depends in composite material shared by highly conductor phase for macroscopic perspective
Volume ratio.Volume ratio shared by highly conductor phase is bigger, and the conductive capability of composite material is stronger.
On the basis of a large amount of theoretical and experimental studies, composite material conductive characteristic can pass through general EFFECTIVE MEDIUM
Equation (General Effective Medium Equation, GEM equation) is modeled:
Wherein, Φ indicates that highly conductor phase accounts for the volume ratio of composite material, ΦcIndicate its critical size ratio, value depends on
In the physical characteristic and microstructure of two-phase, σlow, σhAnd σmRespectively indicate the conductance of low conductive phase, highly conductor phase and composite material
Rate, tmIndicate the seepage coefficient of composite material, value is similarly dependent on the physical characteristic and microstructure of two-phase.
Wherein, active carbon is by conductive carbon particle phase and nonconducting hole phase composition, i.e. σlow=0, the side GEM at this time
Journey can be reduced to:
As shown in figure 5, composite material has piezoresistive effect, under pressure, the highly conductor phase particle of composite material it
Between can tend to be close, form more conductive chain accesses, significantly improve the conductive capability of material.Mathematically, composite material
Piezoresistive characteristic can be described by model based on GEM equation.According to the model, the piezoresistive characteristic of composite material is by equation
(10) critical size ratio Φ and in (11)cIt is obtained with the variation relation of pressure:
Wherein, Φc(0) the critical size ratio under indicating zero-pressure by force, m indicate that the pressure sensitivity coefficient of composite material, p indicate
Pressure.
For the double layer capacitor of layer structure as shown in Figure 2, under impact, the pressure of electrode interior can be indicated
For the function of thickness direction distance x,
P (x)=ρ ax (13)
Wherein, a indicates that acceleration, ρ indicate the density of electrode.
Equation (10)~(13) constitute the piezoresistive effect model of porous electrode, can be determined and be added completely according to this model
The relationship of velocity shock and electrode equivalent conductivity.
In step s 2, electric double layer effect energy storage model and piezoresistive effect model are subjected to integrated Coupling method, to obtain
Obtain energy storage-shock-sensitive coupling model system of double layer capacitor.
That is, energy storage-shock-sensitive coupling model system contains the electrode kinetics model of electric double layer capacitance, it is more
The piezoresistive effect model of pore electrod.The kinetic model of electric double layer storage effect will be established in this piezoresistive effect model and step S1
It combines, double layer capacitor is in impact moment multiple physical field couple variations process as caused by electrode piezoresistive effect and output electricity
The jumping phenomenon of pressure can be by quantitative description.
In step s3, double to piezoresistive electrodes electric using finite element software according to energy storage-shock-sensitive coupling model system
The mechanics shock-sensitive characteristic of layer capacitor carries out simulation calculation.
In other words, by finite element emulation software COMSOL, it can realize quick to the impact of double layer capacitor mechanics
The numerical simulation for feeling characteristic calculates, wherein the embodiment of the present invention is also compatible with matlab emulation platform, has convenient for transplanting, opens up
The feasibility of exhibition.
As shown in fig. 6, it is special in the voltage responsive of acceleration impact moment to have obtained double layer capacitor by simulation study
Property.On the one hand, when double layer capacitor is not impacted by acceleration, show that it effectively can be in micro-system as power supply
Other electronic devices provide energy, as shown in Fig. 6 (a).On the other hand, when device is during discharge by of short duration acceleration
When degree impact, the output voltage of device will be steeply risen, and a sharp voltage occurred and risen peak, as shown in Fig. 6 (b).
Further, as shown in fig. 7, the embodiment of the present invention is to the amplitude and impact acceleration size for impacting sense voltage peak
Relationship carried out simulation study.When acceleration impacts in a certain range, on the voltage of double layer capacitor output voltage
Rising peak amplitude, there are approximate linear relationship, Pearson correlation coefficient (Pearson with impact acceleration
CorrelationCoefficient) reach 0.99932.And if acceleration impact further increases, device voltage rises peak
Although still having positive correlation between amplitude and impact acceleration, with the increase of impact acceleration, voltage rises peak amplitude
The speed of increase will be slower and slower, gradually deviates linear matched curve.
Further, the embodiment of the present invention passes through the simulation study important feature parameter and work of double layer capacitor
Influence of the parameter for its impact acceleration sensitivity characteristic.
The thickness of electrode of double layer capacitor all has the important performance characteristics such as its capacity, energy storage density and internal resistance aobvious
Writing influences.
As shown in Fig. 8 (a), the embodiment of the present invention imitates the shock-sensitive characteristic of device under Different electrodes thickness
Very.Under different thickness of electrode, voltage, which rises between peak amplitude and impact acceleration, has linear approximate relationship.
It should be noted that discharge current is an important process parameter of device, the output power of device is directly affected
With maximum functional duration.
As shown in Fig. 8 (b), the embodiment of the present invention carries out the shock-sensitive characteristic of device under different discharge current densities
Emulation.Under different discharge current densities, voltage, which rises between peak amplitude and impact acceleration, all has linear approximate relationship.
Therefore, the simulation result under above-mentioned different parameters combination further demonstrates voltage rising acrometron as shown in Figure 7
The generality of linear relationship between value and impact acceleration, and the reliable of impact perception is realized using this sensitivity phenomenon
Property.
As shown in figure 9, in order to which the parameters such as further Electrode thickness and discharge current density rise device voltage
The influence of peak amplitude, the fixed acceleration magnitude of simulation study is 5000g, calculates separately to obtain voltage rising peak amplitude and electrode is thick
The relationship of degree, discharge current density.
Thickness of electrode and discharge current density, which all rise peak amplitude to the voltage of device, crucial effect.Such as Fig. 9 (a) institute
Show, voltage rises between peak amplitude and thickness of electrode there are approximate linear relationship, and Pearson correlation coefficient reaches
0.98919.As shown in Fig. 9 (b), double layer capacitor voltage rises peak amplitude under different discharge current densities.The voltage of device
Rise and equally exists approximate linear relationship between peak amplitude and discharge current density.Remove two very big discharge current density
After data point, Pearson correlation coefficient between the two reaches 0.99977.
But when discharge current density is larger, the relationship of this approximately linear is no longer set up, on the voltage emulated
It rises peak amplitude and is substantially less than linear fit value.The phenomenon that this deviation linear rule is as caused by discharge effect.Work as electric discharge
When current density is larger, the fast speed that device output voltage reduces at any time, even therefore in of short duration impact process,
Also it can generate and decline with the comparable voltage of Voltage Peak caused by piezoresistive effect, and then cause on the voltage of device actual output voltage
Peak amplitude is risen lower than linear fit value shown in Fig. 9 (b).
To sum up, the mechanics shock-sensitive characteristic Simulation side for the piezoresistive electrodes double layer capacitor that the embodiment of the present invention proposes
Method, can mechanics shock-sensitive characteristic to piezoresistive electrodes double layer capacitor carry out effective simulation calculation, can be with analysis of key
Parameter mentions the affecting laws of double layer capacitor mechanics impact sensitivity for enhancing or the shock-sensitive phenomenon of suppression device
For design considerations, therefore the emulation mode of the embodiment of the present invention will promote the research and development of new type of electric double-layer capacitors, can apply
In the application scenarios of different mechanical environments.
In addition, term " first ", " second " are used for descriptive purposes only and cannot be understood as indicating or suggesting relative importance
Or implicitly indicate the quantity of indicated technical characteristic.Define " first " as a result, the feature of " second " can be expressed or
Implicitly include at least one this feature.In the description of the present invention, the meaning of " plurality " is at least two, such as two, three
It is a etc., unless otherwise specifically defined.
In the present invention unless specifically defined or limited otherwise, term " installation ", " connected ", " connection ", " fixation " etc.
Term shall be understood in a broad sense, for example, it may be being fixedly connected, may be a detachable connection, or integral；It can be mechanical connect
It connects, is also possible to be electrically connected；It can be directly connected, can also can be in two elements indirectly connected through an intermediary
The interaction relationship of the connection in portion or two elements, unless otherwise restricted clearly.For those of ordinary skill in the art
For, the specific meanings of the above terms in the present invention can be understood according to specific conditions.
In the present invention unless specifically defined or limited otherwise, fisrt feature in the second feature " on " or " down " can be with
It is that the first and second features directly contact or the first and second features pass through intermediary mediate contact.Moreover, fisrt feature exists
Second feature " on ", " top " and " above " but fisrt feature be directly above or diagonally above the second feature, or be merely representative of
First feature horizontal height is higher than second feature.Fisrt feature can be under the second feature " below ", " below " and " below "
One feature is directly under or diagonally below the second feature, or is merely representative of first feature horizontal height less than second feature.
In the description of this specification, reference term " one embodiment ", " some embodiments ", " example ", " specifically show
The description of example " or " some examples " etc. means specific features, structure, material or spy described in conjunction with this embodiment or example
Point is included at least one embodiment or example of the invention.In the present specification, schematic expression of the above terms are not
It must be directed to identical embodiment or example.Moreover, particular features, structures, materials, or characteristics described can be in office
It can be combined in any suitable manner in one or more embodiment or examples.In addition, without conflicting with each other, the skill of this field
Art personnel can tie the feature of different embodiments or examples described in this specification and different embodiments or examples
It closes and combines.
Although the embodiments of the present invention has been shown and described above, it is to be understood that above-described embodiment is example
Property, it is not considered as limiting the invention, those skilled in the art within the scope of the invention can be to above-mentioned
Embodiment is changed, modifies, replacement and variant.
Claims (10)
1. a kind of mechanics shock-sensitive characteristic Simulation method of piezoresistive electrodes double layer capacitor, which is characterized in that including following
Step:
Step S1, establishes the electric double layer effect energy storage model of double layer capacitor, and constructs the piezoresistive effect model of porous electrode；
The electric double layer effect energy storage model and the piezoresistive effect model are carried out integrated Coupling method, to obtain by step S2
Obtain energy storage-shock-sensitive coupling model system of double layer capacitor；And
Step S3, according to the energy storage-shock-sensitive coupling model system using finite element software to piezoresistive electrodes electric double layer electricity
The mechanics shock-sensitive characteristic of container carries out simulation calculation.
2. the mechanics shock-sensitive characteristic Simulation method of piezoresistive electrodes double layer capacitor according to claim 1, special
Sign is, the anode and cathode of the double layer capacitor are the porous film material of high-specific surface area, and by diaphragm by institute
It states anode and the cathode separates.
3. the mechanics shock-sensitive characteristic Simulation method of piezoresistive electrodes double layer capacitor according to claim 2, special
Sign is, is full of liquid electrolyte in the anode and the cathode and the hole of the diaphragm, is made just with constituting solid-liquid interface
Ion and anion adsorb to form double electrical layers.
4. the mechanics shock-sensitive characteristic Simulation method of piezoresistive electrodes double layer capacitor according to claim 1, special
Sign is that the electric double layer effect energy storage model that double layer capacitor is established described in the step S1 includes:
Step S101 obtains the first surface current density of electrolysis liquid phase in porous electrode；
Step S102 obtains the surface current density and potential of electrode matrix phase in electrode matrix phase；
Step S103 is modified the first surface current density of the electrolysis liquid phase, obtains electrolysis liquid phase
Potential；
Step S104 obtains potential and the ion concentration field of electrolysis liquid phase in diaphragm；
Step S105 obtains electric double layer current density according to the mechanism of electric double layer effect；
Step S106, the step S101~step S105 form the electric double layer effect energy storage model of the double layer capacitor.
5. the mechanics shock-sensitive characteristic Simulation method of piezoresistive electrodes double layer capacitor according to claim 4, special
Sign is that the step S103 includes:
Step S1031 is modified using first surface current density of the Ohm's law to the electrolysis liquid phase, to obtain
The second surface current density of electrolysis liquid phase；
Step S1032, by the second table of the first surface current density of the electrolysis liquid phase and the electrolysis liquid phase
Surface current density is integrated, to obtain the potential of the electrolysis liquid phase.
6. the mechanics shock-sensitive characteristic Simulation method of piezoresistive electrodes double layer capacitor according to claim 4, special
Sign is that the electric double layer current density obtains equation are as follows:
Wherein, iDLIndicate current density caused by electric double layer effect, avIndicate the specific surface area of porous electrode, Cd1It indicates and double
Electric layer effect wants the capacitance parameter closed, ΨsIndicate the potential of electrode matrix phase, Ψ1Indicate that the potential of electrolysis liquid phase, t indicate
Time.
7. the mechanics shock-sensitive characteristic Simulation method of piezoresistive electrodes double layer capacitor according to claim 1, special
Sign is, the electrode of the piezoresistive electrodes double layer capacitor be active carbon, carbon nanotube and graphene porous material or its
Mixture, with conductivity by the sensitivity characteristic of pressure influence.
8. the mechanics shock-sensitive characteristic Simulation method of piezoresistive electrodes double layer capacitor according to claim 7, special
Sign is that the active carbon is by conductive carbon particle phase and nonconducting gap phase composition.
9. the mechanics shock-sensitive characteristic Simulation method of piezoresistive electrodes double layer capacitor according to claim 8, special
Sign is that there are microscopic voids for the active carbon, so that the conductivity of the active carbon and the hole phase differs greatly, it is described
Porous material is considered as composite material.
10. the mechanics shock-sensitive characteristic Simulation method of piezoresistive electrodes double layer capacitor according to claim 9, special
Sign is that the composite material has piezoresistive effect, wherein the piezoresistive effect are as follows:
Wherein, Φc(0) the critical size ratio under indicating zero-pressure by force, m indicate that the pressure sensitivity coefficient of composite material, p indicate pressure.
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| US20110264381A1 (en) * | 2010-04-22 | 2011-10-27 | Battelle Energy Alliance, Llc | Systems, methods and computer readable media to model kinetic performance of rechargeable electrochemical devices |
| CN105760613A (en) * | 2016-03-01 | 2016-07-13 | 北京空间飞行器总体设计部 | Load prediction method for pyrotechnic impact source of spacecraft |
| CN106872727A (en) * | 2017-01-18 | 2017-06-20 | 清华大学 | A kind of self-powered acceleration transducer and its manufacture method based on piezoresistive effect |
| CN109575330A (en) * | 2018-11-13 | 2019-04-05 | 清华大学 | A kind of piezoresistive electrodes film and preparation method with electrochemical energy storage effect |
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| US20110264381A1 (en) * | 2010-04-22 | 2011-10-27 | Battelle Energy Alliance, Llc | Systems, methods and computer readable media to model kinetic performance of rechargeable electrochemical devices |
| CN105760613A (en) * | 2016-03-01 | 2016-07-13 | 北京空间飞行器总体设计部 | Load prediction method for pyrotechnic impact source of spacecraft |
| CN106872727A (en) * | 2017-01-18 | 2017-06-20 | 清华大学 | A kind of self-powered acceleration transducer and its manufacture method based on piezoresistive effect |
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