CN115561637A - Parameter identification method and system based on equivalent circuit model and storage medium - Google Patents
Parameter identification method and system based on equivalent circuit model and storage medium Download PDFInfo
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Abstract
The invention discloses a parameter identification method, a system and a storage medium based on an equivalent circuit model, wherein the method comprises the following steps: simulating the working state of the lithium battery under a preset working condition, and acquiring the corresponding relation between the voltage of the lithium battery and the working time; identifying element parameters of each element in the equivalent circuit model according to the corresponding relation between the voltage and the working time of the lithium battery and the preset equivalent circuit model; and substituting each element parameter into a preset electrochemical model to identify the electrochemical parameters according to the corresponding relationship between each element parameter and a plurality of target electrochemical parameters and each element parameter. The invention can comprehensively carry out electrochemical parameter identification by combining the equivalent circuit model and the electrochemical model, thereby improving the speed of identifying the electrochemical parameters.
Description
Technical Field
The invention relates to the technical field of lithium battery parameter identification, in particular to a parameter identification method and system based on an equivalent circuit model and a storage medium.
Background
Lithium ion battery is as the secondary battery of new generation, it has higher energy density and cycle life, present wide application in fields such as mobile communication, digital science and technology, electric automobile, energy storage, in order to improve the battery supervision effect of lithium cell, establish the physical chemistry model to the lithium cell usually, obtain the analog value of the physical chemistry quantity of state on the battery inner space time, can give the real-time operating condition who knows the control lithium cell more clearly, thereby better guarantee the economic nature, reliability and the security of lithium cell.
At present, a total Particle Model (LPM), a Single Particle Model (SPM), a Pseudo two-dimensional Model (P2D) and the like are mainly adopted in an electrochemical Model of a lithium battery. The conventional pseudo-two-dimensional model is complex, so that the solution is difficult. In an electrochemical model, many electrochemical parameters representing the current physical and chemical properties of a lithium battery are needed to be used as parameters for the operation of the electrochemical model of the lithium battery to simulate the work of the lithium battery, and for a relatively complex electrochemical model, dozens of electrochemical parameters are usually included, and in the process of parameter identification, the identification speed is extremely slow due to the fact that the dimensionality of a parameter vector is too high.
Therefore, there is a need for a parameter identification method based on an equivalent circuit model, which combines the equivalent circuit model and an electrochemical model to comprehensively identify electrochemical parameters and improve the speed of identifying electrochemical parameters.
Disclosure of Invention
In order to solve the technical problem that the identification speed is too low due to too high dimensionality of a parameter vector in the current parameter identification process, the invention provides a parameter identification method, a system and a storage medium based on an equivalent circuit model, and the specific technical scheme is as follows:
the invention provides a parameter identification method based on an equivalent circuit model, which comprises the following steps:
simulating the working state of the lithium battery under a preset working condition, and acquiring the corresponding relation between the voltage of the lithium battery and the working time;
identifying element parameters of each element in the equivalent circuit model according to the corresponding relation between the voltage and the working time of the lithium battery and the preset equivalent circuit model;
and substituting each element parameter into a preset electrochemical model to identify the electrochemical parameters according to the corresponding relationship between each element parameter and a plurality of target electrochemical parameters and each element parameter.
The parameter identification method based on the equivalent circuit model obtains information of a plurality of target electrochemical parameters by calculating parameters of an ideal circuit element of the equivalent circuit model and according to the relation between the prior ideal circuit element and the target electrochemical parameters, substitutes the information of the plurality of target electrochemical parameters into the electrochemical model for parameter identification, reduces vector dimensions of the electrochemical parameters in the electrochemical model, and improves the identification speed of the electrochemical parameters in the electrochemical model.
In some embodiments, the identifying, according to the correspondence between the voltage of the lithium battery and the operating time and a preset equivalent circuit model, the element parameters of each element in the equivalent circuit model specifically includes:
and identifying a first polarization resistance parameter, a second polarization resistance parameter, a first polarization capacitance parameter, a second polarization capacitance parameter and a first ohmic resistance parameter in the second order Thevenin equivalent circuit model according to the corresponding relation between the voltage and the working time of the lithium battery and a preset second order Thevenin equivalent circuit model.
In some embodiments, the correspondence between each of the preset a priori element parameters and a number of target electrochemical parameters in the P2D electrochemical model is as follows:
wherein R is p Is the first polarization resistance parameter, R n The second polarization resistance parameter, C p Is the first polarization capacitance parameter, C n For the second polarization capacitance parameter, R 0 A, b, c, d are fixed constants, F is a Faraday constant, R is a gas constant, t is the first ohmic resistance parameter + Is the transport number, C, of the ion e,0 Is the initial concentration, delta, of the electrolyte solution + Is the width, delta, of the positive plate - Is the width, delta, of the negative plate sep Is the width of the diaphragm, K + Effective conductivity, K, for the anode liquid phase - Is effective conductivity of cathode liquid phase, K sep Effective conductivity of the liquid phase of the diaphragm, kelvin temperature T, space domain length of the battery perpendicular to the anode and cathode direction L, effective liquid phase diffusion coefficient De s,p Is the effective volume fraction, epsilon, of the solid phase of the anode s,n Is the effective volume fraction of the solid phase of the cathode, A is the positive electrode and the negative electrode facing area, alpha a And alpha c Is a redox factor, alpha s,p Is the specific surface area, alpha, of the positive electrode active material s,n Is the specific surface area of the negative active material, i o,p Exchange of current density, i, for positive reference o,n Exchange current density, R, for negative reference f Consuming resistance for the external circuit.
In some embodiments, the identifying, according to the correspondence between the voltage of the lithium battery and the operating time and a preset equivalent circuit model, the element parameters of each element in the equivalent circuit model specifically further includes:
and identifying a third polarization resistance parameter, a third polarization capacitance parameter and a second ohmic resistance parameter in the first-order Thevenin equivalent circuit model according to the corresponding relation between the voltage of the lithium battery and the working time and the preset first-order Thevenin equivalent circuit model.
In some embodiments, the preset a priori correspondence between each of the element parameters and the plurality of target electrochemical parameters in the SPM electrochemical model is as follows:
R1*C1＝gL 2 /D e ；
wherein R is 0 Is the second ohmic resistance parameter, R 1 For the third polarization resistance parameter, C 1 The third polarization Rong Canshu, e and g are the same fixed constant, epsilon p Is the porosity, epsilon, of the positive electrode n Is the porosity of the negative electrode, epsilon p Is the porosity, epsilon, of the positive electrode n Is the porosity of the negative electrode, F is the Faraday constant, R is the gas constant, t + Is the transport number, C, of the ion e,0 Is the initial concentration, delta, of the electrolyte solution + Is the width, delta, of the positive plate - Is the width, delta, of the negative plate sep Is the width of the diaphragm, K + Effective conductivity, K, for the anode liquid phase - Is effective conductivity of cathode liquid phase, K sep Effective liquid phase conductivity of the diaphragm, temperature of Kelvin, space domain length of the battery perpendicular to the anode and cathode direction, effective liquid phase diffusion coefficient of De, and epsilon s,p Is the effective volume fraction, epsilon, of the solid phase of the anode s,n Is the effective volume fraction of the solid phase of the cathode, A is the positive electrode and the negative electrode facing area, alpha a And alpha c Is a redox factorSeed, alpha s,p Is the specific surface area, alpha, of the positive electrode active material s,n Is the specific surface area of the negative active material, i o,p Exchange of current density, i, for positive reference o,n Exchange current density, R, for negative reference f Consuming resistance for the external circuit.
In some embodiments, the simulating the working state of the lithium battery under the preset working condition to obtain the corresponding relationship between the voltage of the lithium battery and the working time specifically includes:
the method comprises the steps of simulating the working state of the lithium battery under a preset working condition through a preset test method to obtain the corresponding relation between the voltage of the lithium battery and the working time, wherein the preset test method comprises a DST test method, a FUDS test method, a UDDS test method and an HPPC test method.
In some embodiments, according to another aspect of the present invention, the present invention further provides an equivalent circuit model-based parameter identification system, including:
the acquisition module is used for simulating the working state of the lithium battery under a preset working condition and acquiring the corresponding relation between the voltage of the lithium battery and the working time;
the first identification module is connected with the acquisition module and used for identifying element parameters of each element in the equivalent circuit model according to the corresponding relation between the voltage and the working time of the lithium battery and a preset equivalent circuit model;
and the second identification module is connected with the first identification module and used for substituting the prior element parameters and the corresponding relations between the element parameters and the target electrochemical parameters and the element parameters into a preset electrochemical model to identify the electrochemical parameters.
In some embodiments, the first identification module is further configured to identify a first polarization resistance parameter, a second polarization resistance parameter, a first polarization capacitance parameter, a second polarization capacitance parameter, and a first ohmic resistance parameter in a second-order Thevenin equivalent circuit model according to a corresponding relationship between the voltage of the lithium battery and the operating time and the preset second-order Thevenin equivalent circuit model;
the correspondence between each preset prior element parameter in the second identification module and a plurality of target electrochemical parameters in the P2D electrochemical model is as follows:
wherein R is p Is the first polarization resistance parameter, R n The second polarization resistance parameter, C p Is the first polarization capacitance parameter, C n For the second polarization capacitance parameter, R 0 A, b, c, d are fixed constants, F is a Faraday constant, R is a gas constant, t is the first ohmic resistance parameter + Is the transport number of ions, C e,0 Is the initial concentration, delta, of the electrolyte solution + Is the width, delta, of the positive plate - Is the width, delta, of the negative plate sep Is the width of the diaphragm, K + Effective conductivity, K, for the anode liquid phase - Is effective conductivity of cathode liquid phase, K sep Effective liquid phase conductivity of the diaphragm, temperature of Kelvin, space domain length of the battery perpendicular to the anode and cathode direction, effective liquid phase diffusion coefficient of De, and epsilon s,p Is the effective volume fraction, epsilon, of the solid phase of the anode s,n Is the effective volume fraction of the solid phase of the cathode, A is the positive electrode and the negative electrode facing area, alpha a And alpha c Is redox factor, alpha s,p Is the specific surface area, alpha, of the positive electrode active material s,n Is the specific surface area of the negative active material, i o,p Exchange of current density, i, for positive reference o,n Exchange current density, R, for negative reference f Consuming resistance for the external circuit.
In some embodiments, the first identification module is further configured to identify a third polarization resistance parameter, a third polarization capacitance parameter, and a second ohmic resistance parameter in a first-order Thevenin equivalent circuit model according to a corresponding relationship between the voltage of the lithium battery and the working time and the preset first-order Thevenin equivalent circuit model;
the corresponding relationship between each preset prior element parameter in the second identification module and a plurality of target electrochemical parameters in the SPM electrochemical model is as follows:
wherein R is 0 Is the second ohmic resistance parameter, R 1 For the third polarization resistance parameter, C 1 The third polarization Rong Canshu, e and g are the same fixed constant, epsilon p Is the porosity, epsilon, of the positive electrode n Is the porosity of the negative electrode, epsilon p Is the porosity, epsilon, of the positive electrode n Is the porosity of the negative electrode, F is the Faraday constant, R is the gas constant, t + Is the transport number of ions, C e,0 Is the initial concentration, delta, of the electrolyte solution + Is the width, delta, of the positive plate - Is the width, delta, of the negative plate sep Is the width of the diaphragm, K + Effective conductivity of anode liquid phase, K - Is effective conductivity of cathode liquid phase, K sep For liquid-phase effective electricity of diaphragmConductivity, T is Kelvin temperature, L is the space domain length of the battery perpendicular to the anode and cathode direction, de is effective liquid phase diffusion coefficient, epsilon s,p Is the effective volume fraction, epsilon, of the solid phase of the anode s,n Is the effective volume fraction of the cathode solid phase, A is the positive electrode and negative electrode facing area, alpha a And alpha c Is a redox factor, alpha s,p Is the specific surface area, alpha, of the positive electrode active material s,n Is the specific surface area of the negative active material, i o,p Exchange of current density, i, for positive reference o,n Exchange current density, R, for negative reference f Consuming resistance for the external circuit.
In some embodiments, according to another aspect of the present invention, a storage medium is further provided, in which at least one instruction is stored, and the instruction is loaded and executed by a processor to implement the operations performed by the equivalent circuit model-based parameter identification method.
The parameter identification method, the system and the storage medium based on the equivalent circuit model have the following technical effects: the method comprises the steps of obtaining information of a plurality of target electrochemical parameters by calculating parameters of an ideal circuit element of an equivalent circuit model and according to the relation between a priori ideal circuit element and the target electrochemical parameters, substituting the information of the plurality of target electrochemical parameters into an electrochemical model for parameter identification, reducing vector dimensions of the electrochemical parameters in the electrochemical model, and improving the identification speed of the electrochemical parameters in the electrochemical model
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In order to more clearly illustrate the technical solutions in the embodiments of the present invention, the drawings needed to be used in the description of the embodiments will be briefly introduced below, and it is obvious that the drawings in the following description are only some embodiments of the present invention, and it is obvious for those skilled in the art to obtain other drawings based on these drawings without inventive exercise.
FIG. 1 is a flow chart of a parameter identification method based on an equivalent circuit model according to the present invention;
fig. 2 is a flow chart of parameter identification according to a second-order Thevenin equivalent circuit model in the equivalent circuit model-based parameter identification method of the present invention;
fig. 3 is a flow chart of parameter identification according to a first-order Thevenin equivalent circuit model in the equivalent circuit model-based parameter identification method of the present invention;
FIG. 4 is a diagram illustrating an exemplary equivalent circuit model-based parameter identification system according to the present invention.
Reference numbers in the figures: an acquisition module-10, a first identification module-20 and a second identification module-30.
Detailed Description
In the following description, for purposes of explanation and not limitation, specific details are set forth, such as particular system structures, techniques, etc. in order to provide a thorough understanding of the embodiments of the present application. However, it will be apparent to one skilled in the art that the present application may be practiced in other embodiments that depart from these specific details. In other instances, detailed descriptions of well-known systems, devices, circuits, and methods are omitted so as not to obscure the description of the present application with unnecessary detail.
It will be understood that the terms "comprises" and/or "comprising," when used in this specification and the appended claims, specify the presence of stated features, integers, steps, operations, elements, and/or components, but do not preclude the presence or addition of one or more other features, integers, steps, operations, elements, components, and/or groups thereof.
For the sake of simplicity, the drawings only schematically show the parts relevant to the present invention, and they do not represent the actual structure as a product. Moreover, in an effort to provide a concise understanding of the drawings, components having the same structure or function may be shown in some of the drawings in a single schematic representation or may be labeled in multiple representations. In this document, "one" means not only "only one" but also a case of "more than one".
It should be further understood that the term "and/or" as used in this specification and the appended claims refers to and includes any and all possible combinations of one or more of the associated listed items.
In addition, in the description of the present application, the terms "first", "second", and the like are used only for distinguishing the description, and are not intended to indicate or imply relative importance.
In order to more clearly illustrate the embodiments of the present invention or the technical solutions in the prior art, the following description will be made with reference to the accompanying drawings. It is obvious that the drawings in the following description are only some examples of the invention, and that for a person skilled in the art, other drawings and embodiments can be derived from them without inventive effort.
An embodiment of the present invention, as shown in fig. 1, provides a method for identifying parameters based on an equivalent circuit model, including the steps of:
s100, simulating the working state of the lithium battery under a preset working condition, and acquiring the corresponding relation between the voltage of the lithium battery and the working time.
Specifically, the working state of the lithium battery is simulated under a preset working condition according to a DST test method, an FUDS test method, an UDDS test method, an HPPC test method and the like.
Illustratively, a pulse HPPC experiment is carried out on the lithium battery, and a working condition curve of the voltage-working time of the lithium battery is obtained according to HPPC test data.
S200, identifying element parameters of each element in the equivalent circuit model according to the corresponding relation between the voltage and the working time of the lithium battery and the preset equivalent circuit model.
Specifically, the equivalent circuit model is a simulation model for the input and response of the battery voltage and the battery current only on the aspect of using the abstract circuit element through a induction method, although the equivalent circuit model is not based on all physical characteristics of the battery, because the abstract circuit element in the equivalent circuit has a certain corresponding relation with the actual electrochemical reaction process in the lithium battery, the adjustable parameters in the physical relation can be increased by increasing the topological relation between the abstract circuit element and the circuit in the equivalent circuit, so that the parameter representation of the electrochemical model and the behavior of the actual battery are closer.
S300, substituting each element parameter into a preset electrochemical model to identify the electrochemical parameters according to the corresponding relation between each element parameter and a plurality of target electrochemical parameters and each element parameter.
Specifically, according to the correspondence between the equivalent circuit model and the electrochemical process, the correspondence between the element parameter and the target electrochemical parameter can be obtained through the equivalent circuit model, and then the correspondence between the element parameter and the target electrochemical parameter is substituted into the parameter identification of the electrochemical model. For a complex electrochemical model, the electrochemical parameters of which usually include dozens, in the process of parameter identification, because the dimension of the parameter vector is too high, the identification speed is extremely slow, and the effect of dimension explosion is easily generated.
The parameter identification method based on the equivalent circuit model provided by the embodiment obtains information of a plurality of target electrochemical parameters by calculating parameters of ideal circuit elements of the equivalent circuit model and according to the prior relation between the ideal circuit elements and the target electrochemical parameters, substitutes the information of the plurality of target electrochemical parameters into the electrochemical model for parameter identification, reduces vector dimensions of the electrochemical parameters in the electrochemical model, and improves the identification speed of the electrochemical parameters in the electrochemical model.
In one embodiment, as shown in fig. 2, the step S200 of identifying the component parameters of each component in the equivalent circuit model according to the corresponding relationship between the voltage of the lithium battery and the operating time and the preset equivalent circuit model specifically includes:
s210, according to the corresponding relation between the voltage and the working time of the lithium battery and a preset second-order Thevenin equivalent circuit model, identifying a first polarization resistance parameter, a second polarization resistance parameter, a first polarization capacitance parameter, a second polarization capacitance parameter and a first ohmic resistance parameter in the second-order Thevenin equivalent circuit model.
Specifically, in the process of executing step S300, the preset prior correspondence between each element parameter and a plurality of target electrochemical parameters in the P2D electrochemical model is as follows:
wherein R is p Is the first polarization resistance parameter, R n Is the second polarization resistance parameter, C p Is the first polarization capacitance parameter, C n For the second polarization capacitance parameter, R 0 A, b, c, d are fixed constants, F is a Faraday constant, R is a gas constant, t is the first ohmic resistance parameter + Is the transport number of ions, C e,0 Is the initial concentration, delta, of the electrolyte solution + Is the width, delta, of the positive plate - Is the width, delta, of the negative plate sep Is the width of the diaphragm, K + Effective conductivity, K, for the anode liquid phase - Is effective conductivity of cathode liquid phase, K sep Effective liquid phase conductivity of the diaphragm, temperature of Kelvin, space domain length of the battery perpendicular to the anode and cathode direction, effective liquid phase diffusion coefficient of De, and epsilon s,p Is the effective volume fraction, epsilon, of the solid phase of the anode s,n
Is the effective volume fraction of the solid phase of the cathode, A is the positive electrode and the negative electrode facing area, alpha a And alpha c Is a redox factor, alpha s,p Is the specific surface area, alpha, of the positive electrode active material s,n Is the specific surface area of the negative active material, i o,p Exchange of current density, i, for positive reference o,n Exchange current density for negative referenceDegree, R f Consuming resistance for the external circuit.
In an embodiment, as shown in fig. 2, the step S200 identifies component parameters of each component in the equivalent circuit model according to a corresponding relationship between the voltage of the lithium battery and the operating time and a preset equivalent circuit model, and specifically includes:
s220, according to the corresponding relation between the voltage of the lithium battery and the working time and a preset first-order Thevenin equivalent circuit model, a third triode resistance parameter, a third triode capacitance parameter and a second ohm resistance parameter in the first-order Thevenin equivalent circuit model are identified.
Specifically, in the process of executing step S300, the preset prior correspondence between each element parameter and a plurality of target electrochemical parameters in the SPM electrochemical model is as follows:
R1*C1＝gL 2 /D e ；
wherein R is 0 Is the second ohmic resistance parameter, R 1 For the third polarization resistance parameter, C 1 The third polarization Rong Canshu, e and g are the same fixed constant, F is Faraday constant, R is gas constant, t + Is the transport number of ions, C e,0 Is the initial concentration, delta, of the electrolyte solution + Is the width, delta, of the positive plate - Is the width, delta, of the negative plate sep Is the width of the diaphragm, K + Effective conductivity, K, for the anode liquid phase - Is effective conductivity of cathode liquid phase, K sep Effective liquid phase conductivity of the diaphragm, temperature of Kelvin, space domain length of the battery perpendicular to the anode and cathode direction, effective liquid phase diffusion coefficient of De, and epsilon s,p Is the effective volume fraction, epsilon, of the solid phase of the anode s,n Is the effective volume fraction of the solid phase of the negative electrode, A is the positive electrode and the negative electrode facing area,α a And alpha c Is redox factor, alpha s,p Is the specific surface area, alpha, of the positive electrode active material s,n Is the specific surface area of the negative active material, i o,p Exchange of current density, i, for positive reference o,n Exchange current density, R, for negative reference f Consuming resistance for the external circuit.
In one embodiment, as shown in fig. 4, according to another aspect of the present invention, the present invention further provides a parameter identification system based on an equivalent circuit model, which includes an obtaining module 10, a first identification module 20, and a second identification module 30.
The obtaining module 10 is configured to simulate a working state of the lithium battery under a preset working condition, and obtain a corresponding relationship between a voltage of the lithium battery and a working time of the lithium battery.
Specifically, the working state of the lithium battery is simulated under a preset working condition according to a DST test method, an FUDS test method, an UDDS test method, an HPPC test method and the like.
Illustratively, a pulse HPPC experiment is carried out on the lithium battery, and a working condition curve of the voltage-working time of the lithium battery is obtained according to HPPC test data.
The first identification module 20 is connected to the obtaining module 10, and is configured to identify component parameters of each component in the equivalent circuit model according to a corresponding relationship between a voltage of the lithium battery and a working time and a preset equivalent circuit model.
Specifically, the equivalent circuit model is a simulation model for the input and response of the battery voltage and the battery current only on the aspect of using the abstract circuit element through a induction method, although the equivalent circuit model is not based on all physical characteristics of the battery, because the abstract circuit element in the equivalent circuit has a certain corresponding relation with the actual electrochemical reaction process in the lithium battery, the adjustable parameters in the physical relation can be increased by increasing the topological relation between the abstract circuit element and the circuit in the equivalent circuit, so that the parameter representation of the electrochemical model and the behavior of the actual battery are closer.
The second identification module 30 is connected to the first identification module 20, and is configured to substitute the prior element parameters and the plurality of target electrochemical parameters into a preset electrochemical model for electrochemical parameter identification according to the correspondence between the prior element parameters and the plurality of target electrochemical parameters and the element parameters.
Specifically, according to the correspondence between the equivalent circuit model and the electrochemical process, the correspondence between the element parameter and the target electrochemical parameter can be obtained through the equivalent circuit model, and then the correspondence between the element parameter and the target electrochemical parameter is substituted into the parameter identification of the electrochemical model. For a complex electrochemical model, the electrochemical parameters of which usually include dozens, in the process of parameter identification, because the dimension of the parameter vector is too high, the identification speed is extremely slow, and the effect of dimension explosion is easily generated.
The parameter identification system based on the equivalent circuit model provided by the embodiment obtains information of a plurality of target electrochemical parameters by calculating parameters of ideal circuit elements of the equivalent circuit model and according to the prior relation between the ideal circuit elements and the target electrochemical parameters, substitutes the information of the plurality of target electrochemical parameters into the electrochemical model for parameter identification, reduces vector dimensions of the electrochemical parameters in the electrochemical model, and improves the identification speed of the electrochemical parameters in the electrochemical model.
In an embodiment, the first identifying module 20 is further configured to identify a first polarization resistance parameter, a second polarization resistance parameter, a first polarization capacitance parameter, a second polarization capacitance parameter, and a first ohmic resistance parameter in the second-order Thevenin equivalent circuit model according to a corresponding relationship between a voltage of the lithium battery and an operating time and a preset second-order Thevenin equivalent circuit model.
The correspondence between each preset prior element parameter in the second identification module 20 and a plurality of target electrochemical parameters in the P2D electrochemical model is as follows:
wherein R is p Is a first polarization resistance parameter, R n Is the second polarization resistance parameter, C p Is a first polarization capacitance parameter, C n Is the second polarization capacitance parameter, R 0 Is a first ohmic resistance parameter, a, b, c, d are fixed constants, F is a Faraday constant, R is a gas constant, t + Is the transport number of ions, C e,0 Is the initial concentration, delta, of the electrolyte solution + Is the width, delta, of the positive plate - Is the width, delta, of the negative plate sep Is the width of the diaphragm, K + Effective conductivity, K, for the anode liquid phase - Is effective conductivity of cathode liquid phase, K sep Effective liquid phase conductivity of the diaphragm, temperature of Kelvin, space domain length of the battery perpendicular to the anode and cathode direction, effective liquid phase diffusion coefficient of De, and epsilon s,p Is the effective volume fraction, epsilon, of the solid phase of the anode s,n Is the effective volume fraction of the solid phase of the cathode, A is the positive electrode and the negative electrode facing area, alpha a And alpha c Is a redox factor, alpha s,p Is the specific surface area, alpha, of the positive electrode active material s,n Is the specific surface area of the negative active material, i o,p Exchange of current density, i, for positive reference o,n Exchange current density, R, for negative reference f Consuming resistance for the external circuit.
In one embodiment, the first identification module 20 is further configured to identify a third polarization resistance parameter, a third polarization capacitance parameter and a second ohmic resistance parameter in the first-order Thevenin equivalent circuit model according to a corresponding relationship between the voltage of the lithium battery and the operating time and a preset first-order Thevenin equivalent circuit model.
The corresponding relationship between each preset prior element parameter in the second identification module 30 and a plurality of target electrochemical parameters in the SPM electrochemical model is as follows:
R1*C1＝gL 2 /D e ；
wherein R is 0 Is the second ohmic resistance parameter, R 1 For third polarization resistance parameter, C 1 A third polarization Rong Canshu, e and g being the same constant, F being the Faraday constant, R being the gas constant, t + Is the transport number of ions, C e,0 Is the initial concentration, delta, of the electrolyte solution + Is the width of the positive plate, delta - Is the width, delta, of the negative plate sep Is the width of the diaphragm, K + Effective conductivity, K, for the anode liquid phase - Is effective conductivity of cathode liquid phase, K sep Effective liquid phase conductivity of the diaphragm, temperature of Kelvin, space domain length of the battery perpendicular to the anode and cathode direction, effective liquid phase diffusion coefficient of De, and epsilon s,p Is the effective volume fraction, epsilon, of the solid phase of the positive electrode s,n Is the effective volume fraction of the solid phase of the cathode, A is the positive electrode and the negative electrode facing area, alpha a And alpha c Is a redox factor, alpha s,p Is the specific surface area, alpha, of the positive electrode active material s,n Is the specific surface area of the negative active material, i o,p Exchange of current density, i, for positive reference o,n Exchange current density, R, for negative reference f Consuming resistance for the external circuit.
In an embodiment, according to another aspect of the present invention, the present invention further provides a storage medium, in which at least one instruction is stored, and the instruction is loaded and executed by a processor to implement the operations performed in the above-mentioned embodiment of the equivalent circuit model-based parameter identification method, for example, the storage medium may be a read-only memory (ROM), a Random Access Memory (RAM), a compact disc read-only memory (CD-ROM), a magnetic tape, a floppy disk, an optical data storage device, and so on.
In the above embodiments, the descriptions of the respective embodiments have respective emphasis, and reference may be made to the related descriptions of other embodiments for parts that are not described or recited in detail in a certain embodiment.
Those of ordinary skill in the art will appreciate that the various illustrative elements and steps described in connection with the embodiments disclosed herein may be implemented as electronic hardware or combinations of computer software and electronic hardware. Whether such functionality is implemented as hardware or software depends upon the particular application and design constraints imposed on the implementation. Skilled artisans may implement the described functionality in varying ways for each particular application, but such implementation decisions should not be interpreted as causing a departure from the scope of the present application.
In the embodiments provided in the present application, it should be understood that the disclosed method, system and storage medium for parameter identification based on equivalent circuit model may be implemented in other ways. For example, the above-described embodiments of a method, system and storage medium for parameter identification based on an equivalent circuit model are merely illustrative, and for example, the division of the module or unit is only a logical functional division, and other divisions may be realized in practice, for example, a plurality of units or modules may be combined or integrated into another system, or some features may be omitted, or not executed. In addition, the communication links shown or discussed may be through interfaces, devices or units, or integrated circuits, and may be electrical, mechanical or other forms.
The units described as separate parts may or may not be physically separate, and parts displayed as units may or may not be physical units, may be located in one place, or may be distributed on a plurality of network units. Some or all of the units can be selected according to actual needs to achieve the purpose of the solution of the embodiment.
In addition, functional units in the embodiments of the present application may be integrated into one processing unit, or each unit may exist alone physically, or two or more units are integrated into one unit. The integrated unit can be realized in a form of hardware, and can also be realized in a form of a software functional unit.
It should be noted that the above-mentioned embodiments are only preferred embodiments of the present invention, and it should be noted that, for those skilled in the art, various modifications and decorations can be made without departing from the principle of the present invention, and these modifications and decorations should also be regarded as the protection scope of the present invention.
Claims (10)
1. A parameter identification method based on an equivalent circuit model is characterized by comprising the following steps:
simulating the working state of the lithium battery under a preset working condition, and acquiring the corresponding relation between the voltage of the lithium battery and the working time;
identifying element parameters of each element in the equivalent circuit model according to the corresponding relation between the voltage and the working time of the lithium battery and a preset equivalent circuit model;
and substituting each element parameter into a preset electrochemical model to identify the electrochemical parameters according to the corresponding relationship between each element parameter and a plurality of target electrochemical parameters and each element parameter.
2. The method according to claim 1, wherein the identifying the component parameters of each component in the equivalent circuit model according to the corresponding relationship between the voltage and the operating time of the lithium battery and a preset equivalent circuit model specifically comprises:
and identifying a first polarization resistance parameter, a second polarization resistance parameter, a first polarization capacitance parameter, a second polarization capacitance parameter and a first ohmic resistance parameter in the second order Thevenin equivalent circuit model according to the corresponding relation between the voltage and the working time of the lithium battery and a preset second order Thevenin equivalent circuit model.
3. The method of claim 2, wherein the equivalent circuit model is used to identify the parameters,
the preset prior correspondence between each element parameter and a plurality of target electrochemical parameters in the P2D electrochemical model is as follows:
wherein R is p Is the first polarization resistance parameter, R n Is the second polarization resistance parameter, C p Is the first polarization capacitance parameter, C n For the second polarization capacitance parameter, R 0 A, b, c, d are fixed constants, F is a Faraday constant, R is a gas constant, t is the first ohmic resistance parameter + Is the transport number of ions, C e,0 Is the initial concentration, delta, of the electrolyte solution + Is the width, delta, of the positive plate - Is the width, delta, of the negative plate sep Is the width of the diaphragm, K + Effective conductivity, K, for the anode liquid phase - Is effective conductivity of cathode liquid phase, K sep Effective liquid phase conductivity of the diaphragm, temperature of Kelvin, space domain length of the battery perpendicular to the anode and cathode direction, effective liquid phase diffusion coefficient of De, and epsilon s,p Is the effective volume fraction, epsilon, of the solid phase of the anode s,n Is the effective volume fraction of the solid phase of the cathode, A is the positive electrode and the negative electrode facing area, alpha a And alpha c Is a redox factor, alpha s,p Is the specific surface area, alpha, of the positive electrode active material s,n Is the specific surface area of the negative active material, i o,p Exchange of current density, i, for positive reference o,n Exchange current density, R, for negative reference f Consuming resistance for the external circuit.
4. The method according to claim 1, wherein the identifying of the component parameters of each component in the equivalent circuit model according to the corresponding relationship between the lithium battery voltage and the operating time and a preset equivalent circuit model specifically comprises:
and identifying a third polarization resistance parameter, a third polarization capacitance parameter and a second ohmic resistance parameter in the first-order Thevenin equivalent circuit model according to the corresponding relation between the voltage of the lithium battery and the working time and the preset first-order Thevenin equivalent circuit model.
5. The method according to claim 4, wherein the equivalent circuit model is a model of a power supply,
presetting the corresponding relation between each prior element parameter and a plurality of target electrochemical parameters in the SPM electrochemical model as follows:
R1*C1＝gL 2 /D e ；
wherein R is 0 Is the second ohmic resistance parameter, R 1 For the third polarization resistance parameter, C 1 The third polarization Rong Canshu, e and g are the same fixed constant, epsilon p Is the porosity, epsilon, of the positive electrode n Is the porosity of the negative electrode, F is the Faraday constant, R is the gas constant, t + Is the transport number of ions, C e,0 Is the initial concentration, delta, of the electrolyte solution + Is the width, delta, of the positive plate - Is the width, delta, of the negative plate sep Is the width of the diaphragm, K + Effective conductivity, K, for the anode liquid phase - Is effective conductivity of liquid phase of cathode, K sep Effective liquid phase conductivity of the diaphragm, temperature of Kelvin, space domain length of the battery perpendicular to the anode and cathode direction, effective liquid phase diffusion coefficient of De, and epsilon s,p Is the effective volume fraction, epsilon, of the solid phase of the anode s,n Is the effective volume fraction of the solid phase of the cathode, A is the positive electrode and the negative electrode facing area, alpha a And alpha c Is a redox factor, alpha s,p Is the specific surface area, alpha, of the positive electrode active material s,n Is the specific surface area of the negative active material, i o,p Exchange of current density, i, for positive reference o,n Exchange current density, R, for negative reference f Consuming resistance for the external circuit.
6. The method for parameter identification based on the equivalent circuit model according to claim 1, wherein the simulating the working state of the lithium battery under the preset working condition to obtain the corresponding relationship between the voltage of the lithium battery and the working time specifically comprises:
simulating the working state of the lithium battery under a preset working condition through a preset test method to obtain the corresponding relation between the voltage of the lithium battery and the working time, wherein the preset test method comprises a DST test method, an FUDS test method, an UDDS test method and an HPPC test method.
7. A parameter identification system based on an equivalent circuit model is characterized by comprising:
the acquisition module is used for simulating the working state of the lithium battery under a preset working condition and acquiring the corresponding relation between the voltage of the lithium battery and the working time;
the first identification module is connected with the acquisition module and used for identifying element parameters of each element in the equivalent circuit model according to the corresponding relation between the voltage and the working time of the lithium battery and the preset equivalent circuit model;
and the second identification module is connected with the first identification module and used for substituting the prior element parameters and the corresponding relations between the element parameters and the target electrochemical parameters and the element parameters into a preset electrochemical model to identify the electrochemical parameters.
8. The equivalent circuit model-based parameter identification system of claim 7,
the first identification module is further used for identifying a first polarization resistance parameter, a second polarization resistance parameter, a first polarization capacitance parameter, a second polarization capacitance parameter and a first ohmic resistance parameter in a second-order Thevenin equivalent circuit model according to the corresponding relation between the voltage and the working time of the lithium battery and the preset second-order Thevenin equivalent circuit model;
the correspondence between each preset prior element parameter in the second identification module and a plurality of target electrochemical parameters in the P2D electrochemical model is as follows:
wherein R is p Is the first polarization resistance parameter, R n Is the second polarization resistance parameter, C p Is the first polarization capacitance parameter, C n For the second polarization capacitance parameter, R 0 A, b, c, d are fixed constants, F is a Faraday constant, R is a gas constant, t is the first ohmic resistance parameter + Is the transport number of ions, C e,0 Is the initial concentration, delta, of the electrolyte solution + Is the width, delta, of the positive plate - Is the width, delta, of the negative plate sep Is the width of the diaphragm, K + Is the effective conductivity of the anode liquid phase, K-is the effective conductivity of the cathode liquid phase, K sep Effective liquid phase conductivity of the diaphragm, temperature of Kelvin, space domain length of the battery perpendicular to the anode and cathode direction, effective liquid phase diffusion coefficient of De, and epsilon s,p Is the effective volume fraction, epsilon, of the solid phase of the positive electrode s,n Is the effective volume fraction of the solid phase of the cathode, A is the positive electrode and the negative electrode facing area, alpha a And alpha c Is a redox factor, alpha s,p Is the specific surface area, alpha, of the positive electrode active material s,n Is the specific surface area of the negative active material, i o,p Exchange of current density, i, for positive reference o,n Exchange current density, R, for negative reference f Consuming resistance for the external circuit.
9. The equivalent circuit model-based parameter identification system of claim 7,
the first identification module is further used for identifying a third polarization resistance parameter, a third polarization capacitance parameter and a second ohmic resistance parameter in a first-order Thevenin equivalent circuit model according to the corresponding relation between the voltage and the working time of the lithium battery and the preset first-order Thevenin equivalent circuit model;
the corresponding relationship between each preset prior element parameter in the second identification module and a plurality of target electrochemical parameters in the SPM electrochemical model is as follows:
R1*C1＝gL 2 /D e ；
wherein R is 0 Is the second ohmic resistance parameter, R 1 For the third polarization resistance parameter, C 1 The third polarization Rong Canshu, e and g are the same fixed constant, epsilon p Is the porosity, epsilon, of the positive electrode n Is the porosity of the negative electrode, epsilon p Is the porosity, epsilon, of the positive electrode n Is the porosity of the negative electrode, F is the Faraday constant, R is the gas constant, t + Is the transport number of ions, C e,0 Is the initial concentration, delta, of the electrolyte solution + Is the width, delta, of the positive plate - Is the width, delta, of the negative plate sep Is the width of the diaphragm, K + Effective conductivity, K, for the anode liquid phase - Is effective conductivity of liquid phase of cathode, K sep Effective liquid phase conductivity of the diaphragm, temperature of Kelvin, space domain length of the battery perpendicular to the anode and cathode direction, effective liquid phase diffusion coefficient of De, and epsilon s,p Is the effective volume fraction, epsilon, of the solid phase of the anode s,n Is the effective volume fraction of the solid phase of the cathode, A is the positive electrode and the negative electrode facing area, alpha a And alpha c Is a redox factor, alpha s,p Is the specific surface area, alpha, of the positive electrode active material s,n Is the specific surface area of the negative active material, i o,p Exchange of current density, i, for positive reference o,n Exchange current density, R, for negative reference f Consuming resistance for the external circuit.
10. A storage medium having stored therein at least one instruction, which is loaded and executed by a processor to implement the operations performed by the equivalent circuit model-based parameter identification method according to any one of claims 1 to 6.
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