Two-dimensional model construction method and system of solid oxide battery system

By dividing the solid-state oxide battery system into multiple components and constructing their respective parameter models, the problem of low overall modeling accuracy is solved, and a higher precision two-dimensional dynamic model construction is achieved.

CN119627146APending Publication Date: 2025-03-14GUANGZHOU POWER SUPPLY BUREAU GUANGDONG POWER GRID CO LTD
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Patent Information

Application Number
CN202411838031.4
Authority / Receiving Office
CN · China
Patent Type
Applications(China)
Current Assignee / Owner
Filing Date
2024-12-13
Publication Date
2025-03-14

AI Technical Summary

Technical Problem

In the prior art, holistic modeling cannot effectively reflect the parameters of each component in the solid-state oxide battery system, resulting in low modeling accuracy.

Method used

The solid-state oxide battery system is divided into combustion chambers, heat exchangers, blowers, gas supply components and stacks, and parameter models are constructed for each component, including the combustion chamber lumped parameter model, heat exchanger distribution parameter model, output power model, delay link model, stack temperature model and stack electrical characteristic model, and these models are integrated to obtain the two-dimensional dynamic model of the system.

Benefits of technology

Through refined modeling, the two-dimensional dynamic model accuracy of the solid-state oxide battery system is improved, and the internal parameter changes of the system can be more accurately reflected.

✦ Generated by Eureka AI based on patent content.

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Abstract

The invention provides a two-dimensional model construction method and system for a solid-state oxide battery system, and belongs to the technical field of solid-state oxide batteries, and the method comprises the steps: dividing the solid-state oxide battery system, and obtaining a combustion chamber, a heat exchanger, an air blower, an air supply part and an electric pile; constructing a combustion chamber lumped parameter model of a combustion chamber, a heat exchanger distribution parameter model of a heat exchanger, an output power model of an air blower, a delay link model of an air supply component, and a galvanic pile temperature model and a galvanic pile electrical characteristic model of a galvanic pile; and determining the technological process of the solid-state oxide battery system, and integrating the combustion chamber lumped parameter model, the heat exchanger distribution parameter model, the output power model, the delay link model, the electric pile temperature model and the electric pile electric characteristic model based on the technological process to obtain a two-dimensional dynamic model of the solid-state oxide battery system. According to the method, the precision of the constructed two-dimensional dynamic model of the solid oxide battery system is improved.
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Description

Technical Field

[0001] The present invention relates to the technical field of solid oxide batteries, and in particular to a two-dimensional model construction method and system for a solid oxide battery system. Background Art

[0002] Solid Oxide Cell (SOC) has become one of the current research hotspots of green power generation technology due to its all-solid structure, high efficiency, easy maintenance, and no pollution. The SOC system built on the basis of SOC has gradually become the mainstream power generation system. The accurate modeling of the SOC system is of great significance to the design, evaluation, and optimization of the SOC system.

[0003] Existing technologies such as Chinese patent CN101324908 disclose a multi-scale simulation method for solid oxide fuel cells, but it models a single solid oxide cell, not a solid oxide cell system. At present, the modeling of solid oxide cell systems is mainly based on holistic modeling, and the solid oxide cell system is a complex system with multiple variables and multiple couplings. Holistic modeling directly establishes a parameter model of the input and output ports of a component, which cannot meet the internal parameter changes of the complex solid oxide cell system and has low modeling accuracy.

[0004] Therefore, there is an urgent need to provide a two-dimensional model construction method and system for a solid oxide battery system to perform fine modeling on the components of the solid oxide battery system to improve the accuracy of the constructed two-dimensional dynamic model of the solid oxide battery system. Summary of the invention

[0005] In view of this, it is necessary to provide a two-dimensional model construction method and system for a solid oxide battery system to solve the technical problem that the overall modeling in the prior art cannot effectively reflect the parameters of each component in the solid oxide battery system, resulting in low modeling accuracy.

[0006] On the one hand, in order to solve the above technical problems, the present invention provides a method for constructing a two-dimensional model of a solid oxide battery system, comprising: Dividing the solid oxide battery system into a combustion chamber, a heat exchanger, a blower, a gas supply component and a battery stack; Constructing a combustion chamber lumped parameter model of the combustion chamber, a heat exchanger distributed parameter model of the heat exchanger, an output power model of the blower, a delay link model of the air supply component, and a stack temperature model and a stack electrical characteristic model of the stack; Determine the process flow of the solid oxide battery system, and integrate the combustion chamber lumped parameter model, the heat exchanger distributed parameter model, the output power model, the delay link model, the battery stack temperature model and the battery stack electrical characteristic model based on the process flow to obtain a two-dimensional dynamic model of the solid oxide battery system.

[0007] In a possible implementation, constructing a combustion chamber lumped parameter model of the combustion chamber includes: Acquire the model building conditions of the combustion chamber; the model building conditions include: no heat transfer between the combustion chamber and the external environment, the lumped parameter model of the combustion chamber is a quasi-static model, and the fuel gas in the combustion chamber is completely catalytically combusted; Based on the model building conditions, a combustion chamber wall model and a combustion chamber gas model are respectively constructed; the combustion chamber wall model is used to calculate the temperature of the combustion chamber wall; the combustion chamber gas model is used to calculate the mole fraction, molar flow rate and temperature of the gas in the combustion chamber; the combustion chamber wall model and the combustion chamber gas model constitute the combustion chamber lumped parameter model.

[0008] In a possible implementation, the combustion chamber wall model is:

[0009] The gas model in the combustion chamber is:

[0010]

[0011]

[0012] In the formula, The heat energy input into the combustion chamber by adjacent objects; , , and are the density, volume, specific heat capacity and temperature of the combustion chamber wall respectively; For time; , are the molar flow rates of the fluid flowing into and out of the combustion chamber, respectively; For fluid i The reaction rate; is the total amount of substance in the fluid in the combustion chamber; is the mole fraction of fluid i in the combustion chamber; , are the mole fractions of the fluid flowing into and out of the combustion chamber, respectively; is the constant volume specific heat capacity of the fluid in the combustion chamber; is the temperature of the fluid in the combustion chamber; , are the molar specific enthalpy of the fluid when it flows into the combustion chamber and when it flows out of the combustion chamber, respectively.

[0013] In a possible implementation, the heat exchanger includes a plurality of heat exchanger nodes, each of which includes a gas control unit and a solid control unit; then a heat exchanger distributed parameter model of the heat exchanger is constructed, including: On the premise that the outlet fluid molar flow rate of each heat exchanger node of the heat exchanger is the same as the inlet fluid molar flow rate, and the outlet fuel molar fraction is the same as the inlet combustion molar fraction, a fluid temperature model of the gas control unit and a fixed temperature model of the solid control unit are constructed respectively; the fluid temperature model and the solid control model constitute the heat exchange distribution parameter model.

[0014] In a possible implementation, the fluid temperature model is:

[0015] The solid temperature model is:

[0016] In the formula, The heat energy input to the heat exchanger by the adjacent objects; , , and are the density, volume, specific heat capacity and temperature of the heat exchanger respectively; For time; , are the molar flow rates of the fluid flowing into and out of the heat exchanger, respectively; is the total amount of fluid in the heat exchanger; is the constant volume specific heat capacity of the fluid in the heat exchanger; , are the molar specific enthalpy of the fluid when it flows into the heat exchanger and when it flows out of the heat exchanger, respectively.

[0017] In a possible implementation, the output power model is:

[0018] In the formula, is the output power of the blower; is the isobaric specific heat of air; is the temperature of the blower inlet air; , are the pressures of the blower inlet and outlet air, respectively; is the energy conversion efficiency of the blower; is the air flow output by the blower;r is the specific heat ratio of air.

[0019] In a possible implementation, the delay link model is:

[0020] In the formula, is the transfer function; is the variable symbol; is the delay time; is the inertia time constant.

[0021] In a possible implementation, the stack includes a plurality of stack nodes, each of which includes a stack solid unit consisting of a metal connector and PEN, and a stack fluid unit consisting of a fuel end and an air end; the stack temperature model includes a stack solid model, a stack fluid model, a heat conduction model between stack solid units, and a heat transfer model between stack solid units and stack fluid units; The solid model of the battery stack is:

[0022]

[0023] The stack fluid model is:

[0024]

[0025]

[0026] The heat conduction model is:

[0027] The heat transfer model is:

[0028] In the formula, The heat energy input from the adjacent objects to the metal connector; It is the heat energy input to PEN by the adjacent objects; It is the total energy released during the electrochemical reaction in the stack node; The electrical energy generated by the battery stack node; , , and are the density, volume, specific heat capacity and temperature of the metal connector respectively; , , and are the density, volume, specific heat capacity and temperature of PEN respectively; For time; , are the molar flow rates of the fluid flowing into the combustion chamber and out of the stack, respectively; For fluid i The reaction rate; is the total amount of fluid in the stack; is the mole fraction of fluid i in the stack; , are the mole fractions of fluid flowing into and out of the stack, respectively; is the constant volume specific heat capacity of the fluid in the stack; is the temperature of the fluid in the combustion chamber; , are the molar specific enthalpy of the fluid when it flows into the stack and when it flows out of the stack, respectively; The heat is the heat conducted between two adjacent solid units of the battery stack; is the area of ​​the solid unit of the stack; is the thermal conductivity between two adjacent solid units of the stack; , are the temperatures of two adjacent solid units of the stack; Heat transfer between fluid units; for Heat transfer coefficients between fluid elements; is the temperature of the solid unit of the stack; is the temperature of the stack fluid unit.

[0029] In a possible implementation, the stack electrical characteristic model is:

[0030]

[0031]

[0032]

[0033]

[0034]

[0035] In the formula, is the voltage of the battery stack node; is the Nernst voltage; is the ohm loss voltage; is the activation loss voltage; is the concentration loss voltage; is the background electromotive force; Ris the ideal gas constant; , , is the gas partial pressure of H2, O2, and H2O; is the Faraday constant; is the anode activation loss voltage; is the cathode activation loss voltage; is the number of electrons participating in the electrochemical reaction; is the current density; is the exchange current density of the anode; is the cathode exchange current density; is the first constant; is the second constant; is the limiting current density; is the cross-sectional area of ​​the stack node; is the exchange current density of the electrode; is the charge transfer coefficient.

[0036] On the other hand, the present invention also provides a two-dimensional model construction system for a solid oxide battery system, comprising: A system division unit, used to divide the solid oxide battery system into combustion chambers, heat exchangers, blowers, gas supply components and battery stacks; A component model building unit, used to build a combustion chamber lumped parameter model of the combustion chamber, a heat exchanger distributed parameter model of the heat exchanger, an output power model of the blower, a delay link model of the air supply component, and a stack temperature model and a stack electrical characteristic model of the stack; The overall model building unit is used to determine the process flow of the solid oxide battery system, and integrate the combustion chamber lumped parameter model, the heat exchanger distributed parameter model, the output power model, the delay link model, the stack temperature model and the stack electrical characteristic model based on the process flow to obtain a two-dimensional dynamic model of the solid oxide battery system.

[0037] The beneficial effects of the present invention are as follows: the two-dimensional model construction method of the solid oxide battery system provided by the present invention first divides the solid oxide battery system into a battery stack and multiple peripheral components, namely: a combustion chamber, a heat exchanger, a blower, and an air supply component, and models each of the divided components separately to obtain a corresponding model of each component. In addition, while constructing a battery stack temperature model, the battery stack also constructs a battery stack electrical characteristic model, thereby realizing refined modeling of the solid oxide battery system and improving the accuracy of the constructed two-dimensional dynamic model of the solid oxide battery system. BRIEF DESCRIPTION OF THE DRAWINGS

[0038] In order to more clearly illustrate the technical solutions in the embodiments of the present invention, the following briefly introduces the drawings required for use in the description of the embodiments. Obviously, the drawings described below are only some embodiments of the present invention. For those skilled in the art, other drawings can be obtained based on these drawings without creative work.

[0039] Figure 1 A schematic structural diagram of an embodiment of a solid oxide battery system provided by the present invention; Figure 2 A schematic flow chart of an embodiment of a method for constructing a two-dimensional model of a solid oxide battery system provided by the present invention; Figure 3 This is a schematic diagram of an embodiment of the process of constructing a combustion chamber lumped parameter model in step S102 of the present invention; Figure 4 A schematic structural diagram of an embodiment of a two-dimensional model building system for a solid oxide battery system provided by the present invention. DETAILED DESCRIPTION

[0040] The following will be combined with the drawings in the embodiments of the present invention to clearly and completely describe the technical solutions in the embodiments of the present invention. Obviously, the described embodiments are only part of the embodiments of the present invention, not all of the embodiments. Based on the embodiments of the present invention, all other embodiments obtained by those skilled in the art without creative work are within the scope of protection of the present invention.

[0041] It should be understood that the schematic drawings are not drawn to scale. The flowchart used in the present invention shows the operations implemented according to some embodiments of the present invention. It should be understood that the operations of the flowchart can be implemented out of order, and the steps without logical context can be reversed in order or implemented simultaneously. In addition, those skilled in the art, under the guidance of the content of the present invention, can add one or more other operations to the flowchart, and can also remove one or more operations from the flowchart. Some of the block diagrams shown in the accompanying drawings are functional entities, which do not necessarily correspond to physically or logically independent entities. These functional entities can be implemented in software form, or in one or more hardware modules or integrated circuits, or in different networks and / or processor systems and / or microcontroller systems.

[0042] Reference to an "embodiment" herein means that a particular feature, structure, or characteristic described in conjunction with the embodiment may be included in at least one embodiment of the present invention. The appearance of the phrase in various places in the specification does not necessarily refer to the same embodiment, nor is it an independent or alternative embodiment that is mutually exclusive with other embodiments. It is explicitly and implicitly understood by those skilled in the art that the embodiments described herein may be combined with other embodiments.

[0043] The present invention provides a two-dimensional model construction method and system for a solid oxide battery system. Before introducing the two-dimensional model construction method and system for a solid oxide battery system, the structure of the solid oxide battery system is first introduced. Figure 1 As shown, the solid oxide battery system includes a fuel pipeline, an air pipeline, a two-stage heat exchanger (a hydrogen heat exchanger and an air heat exchanger), a fuel stack and a combustion chamber. The fuel pipeline and the air pipeline are used to supply fuel and air to the combustion chamber. The high-temperature exhaust gas generated in the combustion chamber is transported to the heat exchanger to remove waste heat from the fuel and air. Figure 1 The red arrows in the figure indicate the direction of fuel flow, the green arrows indicate the direction of air flow, and the black arrows indicate the direction of high-temperature exhaust gas generated by the combustion chamber. Specifically, first, the fuel gas from the fuel storage bottle or the external reformer is regulated by a mass flow meter and then enters the hydrogen heat exchanger, where it is heat exchanged with the high-temperature exhaust gas from the combustion chamber. The blower, as the power source of the air, regulates the flow of the air by controlling its own speed and then enters the air heat exchanger, where it is heat exchanged with the high-temperature exhaust gas from the combustion chamber, thereby forming an exhaust gas recovery subsystem with the combustion chamber and the heat exchanger.

[0044] It should be noted that the solid oxide battery system in the embodiment of the present invention further includes a cold air bypass pipeline, such as Figure 1 As shown, both ends of the cold air bypass duct are respectively connected to the diverter at the blower outlet and the mixer at the stack inlet, so as to mix the preheated air and the diverted cold air based on the mixer, cool the combustion chamber, and keep the temperature of the combustion chamber stable, thereby improving the safety, reliability and life of the entire solid oxide battery system.

[0045] Figure 2 A schematic flow chart of an embodiment of a method for constructing a two-dimensional model of a solid oxide battery system provided by the present invention is shown in FIG. Figure 2 As shown, the two-dimensional model construction method of the solid oxide battery system includes: S201, dividing the solid oxide battery system to obtain a combustion chamber, a heat exchanger, a blower, a gas supply component and a battery stack; S202, constructing a combustion chamber lumped parameter model of the combustion chamber, a heat exchanger distributed parameter model of the heat exchanger, an output power model of the blower, a delay link model of the gas supply component, and a stack temperature model and a stack electrical characteristic model of the stack; S203. Determine the process flow of the solid oxide battery system, and integrate the combustion chamber lumped parameter model, heat exchanger distributed parameter model, output power model, delay link model, stack temperature model and stack electrical characteristic model based on the process flow to obtain a two-dimensional dynamic model of the solid oxide battery system.

[0046] It should be noted that: since the influence of components such as mass flow meters, splitters and mixers on the two-dimensional dynamic model causes airflow lag characteristics, the embodiment of the present invention regards components such as mass flow meters, splitters and mixers in the pipeline as an integral air supply component, and uses the airflow lag characteristics to characterize the above components.

[0047] Among them, the lumped parameter model refers to a model established by selecting a representative point based on theoretical or empirical analysis results to represent the state of the entire system. The distributed parameter model refers to a model established by using multiple points with different spatial positions to represent the state of the entire system.

[0048] In the embodiment of the present invention, since the reaction in each part of the combustion chamber is uniform, the combustion chamber model is constructed by a lumped parameter model. For the heat exchanger, since the parameters at each position are different, the heat exchanger model is constructed by a distributed parameter model. In other words, the embodiment of the present invention establishes a model adapted to the characteristics of each component in the solid-state oxidation battery system, thereby improving the accuracy of the constructed models of each component, and further improving the accuracy of the determined two-dimensional dynamic model of the solid-state oxidation battery system.

[0049] Compared with the prior art, the two-dimensional model construction method of the solid oxide battery system provided in the embodiment of the present invention first divides the solid oxide battery system into a battery stack and multiple peripheral components, namely: a combustion chamber, a heat exchanger, a blower, and an air supply component, and models each of the divided components separately to obtain a corresponding model of each component. In addition, while constructing the battery stack temperature model, the battery stack also constructs a battery stack electrical characteristic model, thereby realizing refined modeling of the solid oxide battery system and improving the accuracy of the constructed two-dimensional dynamic model of the solid oxide battery system.

[0050] It should be noted that the overall modeling concept of the embodiment of the present invention is to divide the model of each component into two parts: a fluid control part and a solid control part. In the fluid control part, the dynamic models of the gas flow rate, mole fraction and temperature characteristics satisfy the conservation laws of mass conservation, mole fraction conservation and energy conservation. In the solid control part, the law of conservation of energy is used for temperature calculation. In particular, for a one-dimensional control unit, heat conduction is mainly carried out between solid units, while heat transfer is carried out between solid units and gas units.

[0051] Under the above assumptions, the outlet temperature, mole fraction, and fluid flow rate of each control unit can be obtained by using the conservation of energy, mass, and mole fraction. In dynamic modeling, the flow rate, mole fraction, and temperature of the fluid are mainly solved in the fluid control unit, and the temperature of the solid is mainly considered in the solid control unit.

[0052] In some embodiments of the present invention, the combustion chamber is considered as a 0D lumped parameter model, and the heat transfer with the external environment is ignored, that is, it is assumed that the combustion chamber subcomponents are insulated. At the same time, since the catalytic combustion reaction in the combustion chamber occurs at the millisecond level, its reaction process can be ignored. Figure 3 As shown, the construction of the combustion chamber lumped parameter model of the combustion chamber in step S102 includes: S301, obtaining the model building conditions of the combustion chamber; the model building conditions include: no heat transfer between the combustion chamber and the external environment, the lumped parameter model of the combustion chamber is a quasi-static model, and the fuel gas in the combustion chamber is completely catalytically combusted; S302. Based on the model building conditions, a combustion chamber wall model and a combustion chamber gas model are respectively constructed; the combustion chamber wall model is used to calculate the temperature of the combustion chamber wall; the combustion chamber gas model is used to calculate the mole fraction, molar flow rate and temperature of the gas in the combustion chamber; the combustion chamber wall model and the combustion chamber gas model constitute a combustion chamber lumped parameter model.

[0053] Specifically, the combustion chamber wall model is:

[0054] The gas model in the combustion chamber is:

[0055]

[0056]

[0057] In the formula, The heat energy input into the combustion chamber by adjacent objects; , , and are the density, volume, specific heat capacity and temperature of the combustion chamber wall respectively; For time; , are the molar flow rates of the fluid flowing into and out of the combustion chamber, respectively; For fluid i The reaction rate; is the total amount of substance in the fluid in the combustion chamber; is the mole fraction of fluid i in the combustion chamber, where the fluid can be fuel gas or air; , are the mole fractions of the fluid flowing into and out of the combustion chamber, respectively; is the constant volume specific heat capacity of the fluid in the combustion chamber; is the temperature of the fluid in the combustion chamber; , are the molar specific enthalpy of the fluid when it flows into the combustion chamber and when it flows out of the combustion chamber, respectively.

[0058] In some embodiments of the present invention, the heat exchanger is a distributed parameter model, that is, the heat exchanger includes a plurality of heat exchange nodes, each heat exchange node includes a gas control unit and a solid control unit. Specifically, the heat exchanger includes five heat exchange nodes.

[0059] It should be understood that the parameters within the same node are the same and are equivalent to the node export parameters, that is, the characteristic value of the node export parameter represents the characteristic value of the parameter of the entire spatial calculation sub-model, and the export parameter of the previous node is equal to the import parameter of the next node, so as to simplify the modeling process and accurately grasp the parameter change process inside the system components.

[0060] In a specific embodiment of the present invention, the heat exchanger distributed parameter model of the heat exchanger is constructed in step S102, including: On the premise that the outlet fluid molar flow rate of each heat exchanger node of the heat exchanger is the same as the inlet fluid molar flow rate, and the outlet fuel mole fraction is the same as the inlet combustion mole fraction, a fluid temperature model of the gas control unit and a fixed temperature model of the solid control unit are constructed respectively; the fluid temperature model and the solid control model constitute a heat exchange distribution parameter model.

[0061] Specifically, the fluid temperature model is:

[0062] The solid temperature model is:

[0063] In the formula, The heat energy input to the heat exchanger by the adjacent objects; , , and are the density, volume, specific heat capacity and temperature of the heat exchanger respectively; For time; , are the molar flow rates of the fluid flowing into and out of the heat exchanger, respectively; is the total amount of fluid in the heat exchanger; is the constant volume specific heat capacity of the fluid in the heat exchanger; , are the molar specific enthalpy of the fluid when it flows into the heat exchanger and when it flows out of the heat exchanger, respectively.

[0064] Since the main function of the blower is to supply air to the solid oxide battery system, it can be regarded as a parasitic loss component of the solid oxide battery system. Therefore, it is necessary to analyze its output power under different air flow supplies, and then combine the electric power generated by the battery stack to calculate the net output power of the solid oxide battery system to obtain the system efficiency.

[0065] In a specific embodiment of the present invention, the output power model is:

[0066] In the formula, is the output power of the blower; is the isobaric specific heat of air; is the temperature of the blower inlet air; , are the pressures of the blower inlet and outlet air, respectively; is the energy conversion efficiency of the blower; is the air flow output by the blower; r is the specific heat ratio of air.

[0067] In a specific embodiment of the present invention, the delay link model is:

[0068] In the formula, is the transfer function; is the variable symbol; is the delay time; is the inertia time constant.

[0069] Among them, the delay time can directly affect the control strategy of the solid oxide battery system, especially in preventing fuel deficit.

[0070] In some embodiments of the present invention, the fuel cell stack includes multiple fuel cell stack nodes, each fuel cell stack node includes a fuel cell stack solid unit composed of a metal connector and a PEN (anode-electrolyte-cathode), and a fuel cell stack fluid unit composed of a fuel end and an air end; the fuel cell stack temperature model includes a fuel cell stack solid model, a fuel cell stack fluid model, a heat conduction model between the fuel cell stack solid units, and a heat transfer model between the fuel cell stack solid unit and the fuel cell stack fluid unit.

[0071] In a specific embodiment of the present invention, the fuel cell stack includes five fuel cell stack nodes.

[0072] Specifically, the solid model of the battery stack is:

[0073]

[0074] The stack fluid model is:

[0075]

[0076]

[0077] The heat conduction model is:

[0078] The heat transfer model is:

[0079] In the formula, The heat energy input from the adjacent objects to the metal connector; It is the heat energy input to PEN by the adjacent objects; It is the total energy released during the electrochemical reaction in the stack node; The electrical energy generated by the battery stack node; , , and are the density, volume, specific heat capacity and temperature of the metal connector respectively; , , and are the density, volume, specific heat capacity and temperature of PEN respectively; For time; , are the molar flow rates of the fluid flowing into the combustion chamber and out of the stack, respectively; For fluid i The reaction rate; is the total amount of fluid in the stack; is the mole fraction of fluid i in the stack; , are the mole fractions of fluid flowing into and out of the stack, respectively; is the constant volume specific heat capacity of the fluid in the stack; is the temperature of the fluid in the combustion chamber; , are the molar specific enthalpy of the fluid when it flows into the stack and when it flows out of the stack, respectively; The heat is the heat conducted between two adjacent solid units of the battery stack; is the area of ​​the solid unit of the stack; is the thermal conductivity between two adjacent solid units of the stack; , are the temperatures of two adjacent solid units of the stack; Heat transfer between fluid units; for Heat transfer coefficients between fluid elements; is the temperature of the solid unit of the stack; is the temperature of the stack fluid unit.

[0080] In a specific embodiment of the present invention, the stack electrical characteristic model is:

[0081]

[0082]

[0083]

[0084]

[0085]

[0086] In the formula, is the voltage of the battery stack node; is the Nernst voltage; is the ohm loss voltage; is the activation loss voltage; is the concentration loss voltage; is the background electromotive force; R is the ideal gas constant; , , is the gas partial pressure of H2, O2, and H2O; is the Faraday constant; is the anode activation loss voltage; is the cathode activation loss voltage; is the number of electrons participating in the electrochemical reaction, which can be taken as 2; is the current density; is the exchange current density of the anode, which can be taken as 5300Am -2 ; is the cathode exchange current density, which can be taken as 2000Am -2 ; is the first constant, which can be -25.855; is the second constant, and its possible value is 7509.6; is the limiting current density, which can be 104Am -2 ; is the cross-sectional area of ​​the stack node; is the exchange current density of the electrode; is the charge transfer coefficient.

[0087] It should be noted that the structural parameters in the above models need to use structural parameters consistent with the actual equipment, so as to ensure that the size structure of the solid oxide battery system is close to the actual device, and the physical property parameters are obtained based on authoritative chemical manuals to ensure their reliability, so as to ensure that the constructed two-dimensional dynamic model is slightly different from the actual model, further improve the accuracy of the two-dimensional dynamic model, and increase the practicality of the two-dimensional dynamic model.

[0088] In order to better implement the two-dimensional model construction method of the solid oxide battery system in the embodiment of the present invention, based on the two-dimensional model construction method of the solid oxide battery system, the embodiment of the present invention also provides a two-dimensional model construction device of the solid oxide battery system, such as Figure 4 As shown, the two-dimensional model building device 400 of the solid oxide battery system includes: The system division unit 401 is used to divide the solid oxide battery system into combustion chambers, heat exchangers, blowers, gas supply components and battery stacks; A component model building unit 402 is used to build a combustion chamber lumped parameter model of the combustion chamber, a heat exchanger distributed parameter model of the heat exchanger, an output power model of the blower, a delay link model of the air supply component, and a stack temperature model and a stack electrical characteristic model of the stack; The overall model building unit 403 is used to determine the process flow of the solid oxide battery system, and integrate the combustion chamber lumped parameter model, the heat exchanger distributed parameter model, the output power model, the delay link model, the stack temperature model and the stack electrical characteristic model based on the process flow to obtain a two-dimensional dynamic model of the solid oxide battery system.

[0089] The two-dimensional model construction device 400 for the solid oxide battery system provided in the above embodiment can implement the technical solution described in the above-mentioned two-dimensional model construction method embodiment of the solid oxide battery system. The specific implementation principles of the above-mentioned modules or units can refer to the corresponding contents in the above-mentioned two-dimensional model construction method embodiment of the solid oxide battery system, which will not be repeated here.

[0090] Those skilled in the art will appreciate that all or part of the processes of the above-mentioned embodiments can be implemented by instructing related hardware (such as a processor, a controller, etc.) through a computer program, and the computer program can be stored in a computer-readable storage medium, wherein the computer-readable storage medium is a disk, an optical disk, a read-only storage memory, or a random access memory, etc.

[0091] The above is a detailed introduction to the two-dimensional model construction method and system of a solid oxide battery system provided by the present invention. Specific examples are used in this article to illustrate the principles and implementation methods of the present invention. The description of the above embodiments is only used to help understand the method of the present invention and its core idea; at the same time, for technical personnel in this field, according to the idea of ​​the present invention, there will be changes in the specific implementation method and application scope. In summary, the content of this specification should not be understood as a limitation on the present invention.

Claims

1. A method for constructing a two-dimensional model of a solid oxide battery system, characterized in that: include: Dividing the solid oxide battery system into a combustion chamber, a heat exchanger, a blower, a gas supply component and a battery stack; Constructing a combustion chamber lumped parameter model of the combustion chamber, a heat exchanger distributed parameter model of the heat exchanger, an output power model of the blower, a delay link model of the air supply component, and a stack temperature model and a stack electrical characteristic model of the stack; Determine the process flow of the solid oxide battery system, and integrate the combustion chamber lumped parameter model, the heat exchanger distributed parameter model, the output power model, the delay link model, the battery stack temperature model and the battery stack electrical characteristic model based on the process flow to obtain a two-dimensional dynamic model of the solid oxide battery system.

2. The method for constructing a two-dimensional model of a solid oxide battery system according to claim 1, characterized in that: The construction of the combustion chamber lumped parameter model of the combustion chamber comprises: Acquire the model building conditions of the combustion chamber; the model building conditions include: no heat transfer between the combustion chamber and the external environment, the lumped parameter model of the combustion chamber is a quasi-static model, and the fuel gas in the combustion chamber is completely catalytically combusted; Based on the model building conditions, a combustion chamber wall model and a combustion chamber gas model are respectively constructed; the combustion chamber wall model is used to calculate the temperature of the combustion chamber wall; the combustion chamber gas model is used to calculate the mole fraction, molar flow rate and temperature of the gas in the combustion chamber; the combustion chamber wall model and the combustion chamber gas model constitute the combustion chamber lumped parameter model.

3. The method for constructing a two-dimensional model of a solid oxide battery system according to claim 2, characterized in that: The combustion chamber wall model is: The gas model in the combustion chamber is: In the formula, The heat energy input into the combustion chamber by adjacent objects; , , and are the density, volume, specific heat capacity and temperature of the combustion chamber wall respectively; For time; , are the molar flow rates of the fluid flowing into and out of the combustion chamber, respectively; For fluid i The reaction rate; is the total amount of substance in the fluid in the combustion chamber; is the mole fraction of fluid i in the combustion chamber; , are the mole fractions of the fluid flowing into and out of the combustion chamber, respectively; is the constant volume specific heat capacity of the fluid in the combustion chamber; is the temperature of the fluid in the combustion chamber; , are the molar specific enthalpy of the fluid when it flows into the combustion chamber and when it flows out of the combustion chamber, respectively.

4. The method for constructing a two-dimensional model of a solid oxide battery system according to claim 1, characterized in that: The heat exchanger comprises a plurality of heat exchanger nodes, each of the heat exchanger nodes comprises a gas control unit and a solid control unit; Then a heat exchanger distributed parameter model of the heat exchanger is constructed, including: On the premise that the outlet fluid molar flow rate of each heat exchanger node of the heat exchanger is the same as the inlet fluid molar flow rate, and the outlet fuel molar fraction is the same as the inlet combustion molar fraction, a fluid temperature model of the gas control unit and a fixed temperature model of the solid control unit are constructed respectively; the fluid temperature model and the solid control model constitute the heat exchange distribution parameter model.

5. The method for constructing a two-dimensional model of a solid oxide battery system according to claim 4, characterized in that: The fluid temperature model is: The solid temperature model is: In the formula, The heat energy input to the heat exchanger by the adjacent objects; , , and are the density, volume, specific heat capacity and temperature of the heat exchanger respectively; For time; , are the molar flow rates of the fluid flowing into and out of the heat exchanger, respectively; is the total amount of fluid in the heat exchanger; is the constant volume specific heat capacity of the fluid in the heat exchanger; , are the molar specific enthalpy of the fluid when it flows into the heat exchanger and when it flows out of the heat exchanger, respectively.

6. The method for constructing a two-dimensional model of a solid oxide battery system according to claim 1, characterized in that: The output power model is: In the formula, is the output power of the blower; is the isobaric specific heat of air; is the temperature of the blower inlet air; , are the pressures of the blower inlet and outlet air, respectively; is the energy conversion efficiency of the blower; is the air flow rate output by the blower; r is the specific heat ratio of air.

7. The method for constructing a two-dimensional model of a solid oxide battery system according to claim 1, characterized in that: The delay link model is: In the formula, is the transfer function; is the variable symbol; is the delay time; is the inertia time constant.

8. The method for constructing a two-dimensional model of a solid oxide battery system according to claim 1, characterized in that: The stack includes a plurality of stack nodes, each of which includes a stack solid unit consisting of a metal connector and PEN and a stack fluid unit consisting of a fuel end and an air end; the stack temperature model includes a stack solid model, a stack fluid model, a heat conduction model between stack solid units, and a heat transfer model between stack solid units and stack fluid units; The solid model of the battery stack is: The stack fluid model is: The heat conduction model is: The heat transfer model is: In the formula, The heat energy input from the adjacent objects to the metal connector; It is the heat energy input to PEN by the adjacent objects; It is the total energy released during the electrochemical reaction in the battery stack node; The electrical energy generated by the battery stack node; , , and are the density, volume, specific heat capacity and temperature of the metal connector respectively; , , and are the density, volume, specific heat capacity and temperature of PEN respectively; For time; , are the molar flow rates of the fluid flowing into the combustion chamber and out of the stack, respectively; For fluid i The reaction rate; is the total amount of fluid in the stack; is the mole fraction of fluid i in the stack; , are the mole fractions of fluid flowing into and out of the stack, respectively; is the constant volume specific heat capacity of the fluid in the stack; is the temperature of the fluid in the combustion chamber; , are the molar specific enthalpy of the fluid when it flows into the stack and when it flows out of the stack, respectively; The heat is the heat conducted between two adjacent solid units of the battery stack; is the area of ​​the solid unit of the stack; is the thermal conductivity between two adjacent solid units of the stack; , are the temperatures of two adjacent solid units of the stack; The heat transferred between the solid unit and the fluid unit of the stack; for Heat transfer coefficients between fluid elements; is the temperature of the solid unit of the stack; is the temperature of the stack fluid unit.

9. The method for constructing a two-dimensional model of a solid oxide battery system according to claim 8, characterized in that: The electrical characteristic model of the battery stack is: In the formula, is the voltage of the battery stack node; is the Nernst voltage; is the ohm loss voltage; is the activation loss voltage; is the concentration loss voltage; is the background electromotive force; R is the ideal gas constant; , , is the gas partial pressure of H2, O2, and H2O; is the Faraday constant; is the anode activation loss voltage; is the cathode activation loss voltage; is the number of electrons participating in the electrochemical reaction; is the current density; is the exchange current density of the anode; is the cathode exchange current density; is the first constant; is the second constant; is the limiting current density; is the cross-sectional area of ​​the stack node; is the exchange current density of the electrode; is the charge transfer coefficient.

10. A two-dimensional model building system for a solid oxide battery system, characterized in that: include: A system division unit, used to divide the solid oxide battery system into combustion chambers, heat exchangers, blowers, gas supply components and battery stacks; A component model building unit, used to build a combustion chamber lumped parameter model of the combustion chamber, a heat exchanger distributed parameter model of the heat exchanger, an output power model of the blower, a delay link model of the air supply component, and a stack temperature model and a stack electrical characteristic model of the stack; The overall model building unit is used to determine the process flow of the solid oxide battery system, and integrate the combustion chamber lumped parameter model, the heat exchanger distributed parameter model, the output power model, the delay link model, the stack temperature model and the stack electrical characteristic model based on the process flow to obtain a two-dimensional dynamic model of the solid oxide battery system.

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