A method and system for durability prediction optimization of warm sofc cathode materials

Abstract

The application discloses a kind of warm SOFC cathode material endurance prediction optimization method and system, it is related to data processing technical field, including: obtaining critical voltage and standard voltage;First prediction time point, second prediction time point and first time interval are obtained, first output voltage is obtained, second output voltage is obtained, first linear endurance is obtained;First optimization time point, second optimization time point and second time interval are obtained, third output voltage is obtained, fourth output voltage is obtained, and second linear endurance is obtained;Based on optimization model, first output voltage, second output voltage, third output voltage, fourth output voltage, first time interval, second time interval and critical voltage, obtain the decay parameter, and according to decay parameter, first linear endurance and second linear endurance, obtain target endurance.The application has the advantages of good prediction effect, accurate and reliable and scientific and stable.

Description

Technical Field

[0001] The present invention relates to the technical field of data processing, and in particular to a method and system for predicting and optimizing the durability of a warm SOFC cathode material. Background Art

[0002] Solid Oxide Fuel Cell (SOFC) is an efficient and clean energy conversion device with broad application prospects in the energy field. In particular, warm SOFC (SOFC with an operating temperature in the medium temperature range) has attracted much attention due to its low operating temperature and high fuel flexibility. However, the long-term stability and durability of warm SOFC are one of the key factors restricting its commercial application, especially the durability of the cathode material, which directly affects the performance and service life of SOFC. At present, some prediction methods for the durability of warm SOFC cathode materials usually evaluate their durability by measuring the performance changes of the cathode material over a period of time under specific conditions, such as using voltage response to reflect the changes in material performance in real time. However, this method often ignores the nonlinear characteristics of material performance decay over time, does not fully consider the impact of time intervals on the prediction results, and does not comprehensively consider the voltage data at multiple time points, resulting in the accuracy and reliability of the prediction results needing to be improved. Summary of the Invention

[0003] In view of the defects in the prior art, the present invention provides a method and system for predicting and optimizing the durability of warm SOFC cathode materials.

[0004] The application discloses a kind of warm SOFC cathode material endurance prediction optimization methods, comprising: obtaining the critical voltage and standard voltage of warm SOFC cathode material under preset current density;First prediction time point, second prediction time point and the first time interval between first prediction time point and second prediction time point are obtained, and the first output voltage of warm SOFC cathode material under preset current density is obtained at first prediction time point, and warm SOFC cathode material is operated under preset current density for the first time interval at first prediction time point, and the second output voltage of warm SOFC cathode material under preset current density is obtained at second prediction time point, and the first linear endurance is obtained based on first prediction model, first output voltage, second output voltage, first time interval, critical voltage and standard voltage;After second prediction time point, first optimization time point, second optimization time point and the second time interval between first optimization time point and second optimization time point are obtained, and the third output voltage of warm SOFC cathode material under preset current density is obtained at first optimization time point, and warm SOFC cathode material is operated under preset current density for the second time interval at first optimization time point, and the fourth output voltage of warm SOFC cathode material under preset current density is obtained at first optimization time point, and the second linear endurance is obtained based on second prediction model, third output voltage, fourth output voltage, second time interval, critical voltage and standard voltage;Decay parameter is obtained based on optimization model, first output voltage, second output voltage, third output voltage, fourth output voltage, first time interval, second time interval and critical voltage, and target endurance is obtained according to decay parameter, first linear endurance and second linear endurance.

[0005] Optionally, decay parameter is obtained based on optimization model, first output voltage, second output voltage, third output voltage, fourth output voltage, first time interval, second time interval and critical voltage includes: first decay value is obtained based on optimization model, first output voltage, second output voltage and critical voltage;Second decay value is obtained based on optimization model, third output voltage, fourth output voltage and critical voltage;Decay parameter is obtained based on optimization model, first decay value, second decay value, first time interval and second time interval.

[0006] Optionally, first prediction model in first linear endurance based on first prediction model, first output voltage, second output voltage, first time interval, critical voltage and standard voltage is represented as: Wherein, D1 is first linear endurance, ΔT1 is first time interval, V st is standard voltage, V cr is critical voltage, V1 is first output voltage, V2 is second output voltage.

[0007] Optionally, the first prediction model in obtaining the second linear endurance based on the second prediction model, the third output voltage, the fourth output voltage, the second time interval, the critical voltage, and the standard voltage is expressed as: Wherein, D2 is the second linear endurance, ΔT2 is the second time interval, V st is the standard voltage, V cr is the critical voltage, V3 is the third output voltage, and V4 is the fourth output voltage.

[0008] Optionally, the step of obtaining the first decay value based on the optimization model, the first output voltage, the second output voltage, and the critical voltage includes: Among them, R1 is the first decay value, V1 is the first output voltage, V2 is the second output voltage, V cr is the critical voltage.

[0009] Optionally, the step of obtaining the second decay value based on the optimization model, the third output voltage, the fourth output voltage, and the critical voltage includes: Among them, R2 is the first decay value, V3 is the third output voltage, V4 is the fourth output voltage, V cr is the critical voltage.

[0010] Optionally, acquiring the optimization model in the decay parameter based on the optimization model, the first decay value, the second decay value, the first time interval, and the second time interval includes: Wherein, θ is the decay parameter, ΔT1 is the first time interval, ΔT2 is the second time interval, R1 is the first decay value, and R2 is the second decay value.

[0011] Optionally, the target durability is obtained according to the decay parameter, the first linear durability, and the second linear durability as follows: Among them, D ta is the target durability, D1 is the first linear durability, and D2 is the second linear durability.

[0012] A warm SOFC cathode material durability prediction and optimization system is also provided. The system includes: a standard acquisition module for acquiring the critical voltage and standard voltage of the warm SOFC cathode material at a preset current density; a first prediction module for acquiring a first prediction time point, a second prediction time point, and a first time interval between the first prediction time point and the second prediction time point, and acquiring the first output voltage of the warm SOFC cathode material at the preset current density at the first prediction time point, and operating the warm SOFC cathode material at the first prediction time point and the preset current density for a first time interval, and acquiring the second output voltage of the warm SOFC cathode material at the preset current density at the second prediction time point, and acquiring the first linear durability based on the first prediction model, the first output voltage, the second output voltage, the first time interval, the critical voltage, and the standard voltage; a second prediction module for acquiring, after the second prediction time point, Take the first optimization time point, the second optimization time point and the second time interval between the first optimization time point and the second optimization time point, and obtain the third output voltage of the warm SOFC cathode material at the preset current density at the first optimization time point, and operate the warm SOFC cathode material at the first optimization time point and the preset current density for the second time interval, and obtain the fourth output voltage of the warm SOFC cathode material at the preset current density at the first optimization time point, and obtain the second linear durability based on the second prediction model, the third output voltage, the fourth output voltage, the second time interval, the critical voltage and the standard voltage; an optimization prediction module is used to obtain a degradation parameter based on the optimization model, the first output voltage, the second output voltage, the third output voltage, the fourth output voltage, the first time interval, the second time interval and the critical voltage, and obtain the target durability based on the degradation parameter, the first linear durability and the second linear durability.

[0013] Optionally, the optimization prediction module is also used to: obtain a first decay value based on the optimization model, the first output voltage, the second output voltage and the critical voltage; obtain a second decay value based on the optimization model, the third output voltage, the fourth output voltage and the critical voltage; obtain a decay parameter based on the optimization model, the first decay value, the second decay value, the first time interval and the second time interval.

[0014] The beneficial effects of the present invention are embodied in:

[0015] In the entire warm SOFC cathode material durability prediction optimization method, the accuracy and reliability of the prediction results are significantly improved by comprehensively considering the voltage data at multiple time points and the impact of time intervals on material performance degradation; further, the method measures the voltage response at different time points, combines the critical voltage and standard voltage, and preliminarily calculates the linear durability, providing a basis for subsequent analysis; further, by introducing new time points and measuring the corresponding voltage data, the change of material performance over time is further captured, and the second linear durability is calculated; further, the optimization model is used to comprehensively consider the change of voltage reduction rate over time, and calculate the degradation parameter, which accurately reflects the nonlinear characteristics of material performance degradation. The preliminarily calculated linear durability is corrected by the degradation parameter, and the final target durability is closer to reality and can more accurately evaluate the durability performance of warm SOFC cathode materials. BRIEF DESCRIPTION OF THE DRAWINGS

[0016] To more clearly illustrate the specific embodiments of the present invention or the technical solutions in the prior art, the following briefly describes the drawings required for the specific embodiments or the description of the prior art. Similar elements or parts are generally identified by similar reference numerals throughout the drawings. Elements or parts in the drawings are not necessarily drawn to scale.

[0017] Figure 1 Schematic diagram of the steps of the method for predicting and optimizing the durability of warm SOFC cathode materials according to the present invention;

[0018] Figure 2 Schematic diagram of some steps of S4 in the method for predicting and optimizing the durability of warm SOFC cathode materials of the present invention. DETAILED DESCRIPTION

[0019] To make the objectives, technical solutions, and advantages of the embodiments of the present invention more clear, the technical solutions of the embodiments of the present invention will be clearly and completely described below in conjunction with the accompanying drawings of 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. Generally, the components of the embodiments of the present invention described and shown in the drawings herein can be arranged and designed in various different configurations.

[0020] Therefore, the following detailed description of the embodiments of the present invention provided in the accompanying drawings is not intended to limit the scope of the invention as claimed, but rather merely represents selected embodiments of the present invention. All other embodiments derived by persons of ordinary skill in the art based on the embodiments of the present invention without creative effort are intended to fall within the scope of protection of the present invention.

[0021] It should be noted that similar reference numerals and letters refer to like items throughout the drawings, and once an item is defined in one drawing, it is not necessary to further define and explain it in subsequent drawings. In addition, the terms "first", "second", and the like are used only to distinguish descriptions, and cannot be understood as indicating or implying relative importance.

[0022] As shown in Figure 1 A warm SOFC cathode material durability prediction optimization method is provided, comprising:

[0023] S1, obtaining a critical voltage and a standard voltage of a warm SOFC cathode material under a preset current density;

[0024] S2, obtaining a first prediction time point, a second prediction time point, and a first time interval between the first prediction time point and the second prediction time point, obtaining a first output voltage of the warm SOFC cathode material under the preset current density at the first prediction time point, running the warm SOFC cathode material under the preset current density for the first time interval at the first prediction time point, obtaining a second output voltage of the warm SOFC cathode material under the preset current density at the second prediction time point, and obtaining a first linear durability based on a first prediction model, the first output voltage, the second output voltage, the first time interval, the critical voltage, and the standard voltage;

[0025] S3, after the second prediction time point, obtaining a first optimization time point, a second optimization time point, and a second time interval between the first optimization time point and the second optimization time point, obtaining a third output voltage of the warm SOFC cathode material under the preset current density at the first optimization time point, running the warm SOFC cathode material under the preset current density for the second time interval at the first optimization time point, obtaining a fourth output voltage of the warm SOFC cathode material under the preset current density at the first optimization time point, and obtaining a second linear durability based on a second prediction model, the third output voltage, the fourth output voltage, the second time interval, the critical voltage, and the standard voltage;

[0026] S4, obtaining a degradation parameter based on an optimization model, the first output voltage, the second output voltage, the third output voltage, the fourth output voltage, the first time interval, the second time interval, and the critical voltage, and obtaining a target durability according to the degradation parameter, the first linear durability, and the second linear durability.

[0027] In this embodiment, it should be noted that in S1, a preset current density is selected as a test condition, and the current density is the current passing through per unit area, in A / cm 2The standard voltage is generally the voltage value that the warm SOFC cathode material in a new state can stably output at the current preset current density; for example, the warm SOFC cathode material is placed in a test environment and the preset current density is set to 0.5A / cm 2 The output voltage is recorded as the standard voltage, assuming the measured standard voltage is 1.2V. The critical voltage is the lowest voltage at which the SOFC cathode material can maintain normal operation under the conditions of a preset current density. Below this voltage, there is a high probability that the material performance will be significantly reduced and will not meet the required working performance. Therefore, the critical voltage is set according to the needs of the use environment. The harsher and more stringent the use environment, the higher the critical voltage. For example, in this embodiment, the preset current density is 0.5A / cm 2 Under the condition of , the critical voltage is set to 0.7V.

[0028] In S2, by measuring the voltage response at two different time points (the first predicted time point and the second predicted time point), combining the first time interval, the critical voltage and the standard voltage, the first linear durability is calculated based on the first prediction model; at the same time, S2 does not consider the nonlinear characteristics of the material performance decaying over time, but makes a preliminary assessment based on the linear assumption. Specifically, the first predicted time point and the second predicted time point are first selected, and the time interval between them is calculated; then, at the first predicted time point, the temperature of the SOFC cathode material is measured at a preset current density (such as 0.5A / cm 2 ), the cathode material is continuously operated at a preset current density until a second predicted time point, and the second output voltage at this time point is measured. A first linear durability is then calculated using the first prediction model, combining the measured voltage data, the first time interval, the critical voltage, and the standard voltage. The first linear durability provides a preliminary durability prediction assessment, laying the foundation for subsequent optimization and more accurate prediction.

[0029] In S3, because the performance degradation of the warm SOFC cathode material may change over time, this change is manifested as a difference in the voltage reduction rate, so a new measurement is required. In the first time interval in S2, the voltage reduction rate is relatively small. In the second time interval in S3, as the use time increases, the internal structure of the material may change, such as a reduction in active sites, obstruction of ion conduction paths, etc., resulting in accelerated performance degradation and an increase in the voltage reduction rate (meaning faster degradation). Therefore, it is necessary to obtain voltage data in the second time interval to further evaluate the durability of the material. S3 is similar to S2, with the addition of new time points to capture changes in material performance and provide data support for subsequent target durability calculations. Specifically, after the second predicted time point, the first optimized time point and the second optimized time point are selected, and the second time interval between the first optimized time point and the second optimized time point is calculated; then, at the first optimized time point, the voltage drop of the warm SOFC cathode material is measured at a preset current density (such as 0.5A / cm 2 ) under the preset current density; then the cathode material is continuously operated at the preset current density to the second optimized time point, and the fourth output voltage at this time is measured; then the second linear durability is calculated by using the second prediction model in combination with the newly measured voltage data, the second time interval, the critical voltage and the standard voltage, thereby providing strong support for further calculating the degradation law and improving the prediction accuracy.

[0030] In S4, the degradation parameter is an important indicator reflecting the rate at which material properties decay over time. This parameter is calculated using an optimization model that accounts for the time-varying voltage drop rate. Known input data (such as the first output voltage, second output voltage, third output voltage, fourth output voltage, first time interval, second time interval, and critical voltage) collectively determine the degradation parameter. Finally, the first and second linear durability values ​​are corrected using the degradation parameter to arrive at the target durability. The target durability is a comprehensive indicator that more accurately reflects the material's durability performance.

[0031] In summary, the entire warm SOFC cathode material durability prediction optimization method significantly improves the accuracy and reliability of the prediction results by comprehensively considering the voltage data at multiple time points and the impact of time intervals on material performance degradation; further, the method measures the voltage response at different time points, combines the critical voltage and standard voltage, and preliminarily calculates the linear durability, providing a basis for subsequent analysis; further, by introducing new time points and measuring the corresponding voltage data, the change of material performance over time is further captured, and the second linear durability is calculated; further, the optimization model is used to comprehensively consider the change of voltage reduction rate over time and calculate the degradation parameter, which accurately reflects the nonlinear characteristics of material performance degradation. The preliminarily calculated linear durability is corrected by the degradation parameter, and the final target durability is closer to reality and can more accurately evaluate the durability performance of warm SOFC cathode materials.

[0032] like Figure 2 As shown, in one embodiment, obtaining the degradation parameter based on the optimization model, the first output voltage, the second output voltage, the third output voltage, the fourth output voltage, the first time interval, the second time interval, and the critical voltage in S4 includes:

[0033] S41, obtaining a first decay value based on the optimization model, the first output voltage, the second output voltage, and the critical voltage;

[0034] S42, obtaining a second decay value based on the optimization model, the third output voltage, the fourth output voltage, and the critical voltage;

[0035] S43. Obtain a decay parameter based on the optimization model, the first decay value, the second decay value, the first time interval, and the second time interval.

[0036] In this embodiment, it should be noted that in S41, the optimization model is used to combine the first output voltage, the second output voltage and the critical voltage to calculate the first decay value. The purpose of this step is to quantify the degree of decay of the performance of the warm SOFC cathode material within the first time interval. Assume that the first output voltage is 1.1V, which is measured at the first prediction time point. The second output voltage is 1.08V, which is measured at the second prediction time point. Assuming that the first time interval is 200 hours; and the critical voltage is 0.7V, the first decay value can be calculated using the optimization model. For example, the first decay value can be expressed as: the decay ratio of the voltage from 1.1V to 1.08V relative to the decay from 1.1V to the critical voltage of 0.7V.

[0037] In S42, a second degradation value is obtained based on the optimization model, the third output voltage, the fourth output voltage, and the critical voltage. Assuming the third output voltage is 1.0V and the fourth output voltage is 0.95V, as measured at the second optimization time point (i.e., the second time interval is 300 hours), and the critical voltage is 0.7V, the optimization model can be used to calculate the second degradation value. For example, the second degradation value can be expressed as the degradation ratio of the voltage from 1.0V to 0.95V relative to the voltage from 1.0V to the critical voltage of 0.7V.

[0038] In S43, a decay parameter is obtained based on the optimization model, the first decay value, the second decay value, the first time interval, and the second time interval. Specifically, the decay parameter is calculated using the first decay value and the second decay value calculated in the first two steps, as well as their corresponding time intervals. This decay parameter is a comprehensive indicator that reflects the rate at which material properties decay over time, including the nonlinear characteristics of the decay.

[0039] In one embodiment, the first prediction model in obtaining the first linear endurance based on the first prediction model, the first output voltage, the second output voltage, the first time interval, the critical voltage, and the standard voltage in S2 is expressed as:

[0040] in,

[0041] D1 is the first linear endurance, ΔT1 is the first time interval, V st is the standard voltage, V cr is the critical voltage, V1 is the first output voltage, and V2 is the second output voltage.

[0042] In this embodiment, it should be noted that D1 represents the first linear durability, that is, the durability of the cathode material predicted based on the measurement data in S2 and the linear assumption. ΔT1 represents the first time interval, that is, the time difference between the first predicted time point and the second predicted time point, and the unit is usually hours. st Indicates the standard voltage, that is, the voltage value that the new warm SOFC cathode material can stably output at the current preset current density, usually in volts. V cr =(V1) represents the critical voltage, i.e., the minimum voltage at which the warm SOFC cathode material can maintain normal operation under a preset current density. Below this voltage, the material performance significantly degrades. Also expressed in volts. V1 represents the first output voltage measured at the first predicted time point, reflecting the material's performance at that point. V2 represents the second output voltage measured at the second predicted time point, and is used together with V1 to calculate the first linear endurance.

[0043] It should also be noted that V st -V crThis difference represents the voltage range of the warm SOFC cathode material from its new state to the lowest state where its performance just meets the requirements for use, and it reflects the acceptable range of material performance. It represents the average decay rate of voltage drop in the first time interval. Then V st -V cr Divide by This gives the time it takes for the material to decay from the standard voltage to the critical voltage. This time scale is the first linear durability, D1. If the average rate of voltage change is very low (i.e., the material performance decays very slowly), then D1 will be large, indicating that the material has high durability. Conversely, if the average rate of voltage change is very high (i.e., the material performance decays very quickly), then D1 will be small, indicating that the material's durability is poor.

[0044] Continuing the example of the above embodiment: the preset current density is 0.5A / cm 2 , standard voltage V st is 1.2V, the critical voltage V cr The first output voltage V1 measured at the first prediction time point is 0.7 V. The second output voltage V2 measured at the second prediction time point is 1.08 V. The first time interval ΔT1 is 200 h.

[0045] but This means that the warm SOFC cathode material can maintain its performance within an acceptable range for about 5,000 hours of operation.

[0046] In one embodiment, the first prediction model in obtaining the second linear endurance based on the second prediction model, the third output voltage, the fourth output voltage, the second time interval, the critical voltage, and the standard voltage in S3 is expressed as:

[0047] in,

[0048] D2 is the second linear endurance, ΔT2 is the second time interval, V st is the standard voltage, V cr is the critical voltage, V3 is the third output voltage, and V4 is the fourth output voltage.

[0049] In this embodiment, it should be noted that, similarly, D2 represents the second linear durability, i.e., the cathode material durability predicted based on the measured data in S3 and the linear assumption. ΔT2 represents the first time interval, i.e., the time difference between the first predicted time point and the second predicted time point, and the unit is usually hours. st Indicates the standard voltage, that is, the voltage value that the new warm SOFC cathode material can stably output at the current preset current density, usually in volts. V cr=V represents the critical voltage, i.e., the minimum voltage at which the warm SOFC cathode material can maintain normal operation under a preset current density. Below this voltage, the material performance significantly degrades. Also expressed in volts. V3 represents the first output voltage measured at the first optimization time point, reflecting the material's performance at that point. V4 represents the second output voltage measured at the second optimization time point, and is used together with V3 to calculate the second linear endurance.

[0050] It should also be noted that V st -V cr This difference represents the voltage range of the warm SOFC cathode material from its new state to the lowest state where its performance just meets the requirements for use, and it reflects the acceptable range of material performance. It represents the average decay rate of voltage drop in the second time interval. Then V st -V cr Divide by This gives the time it takes for the material to decay from the standard voltage to the critical voltage. This time scale is the first linear durability, D2. If the average rate of voltage change is very low (i.e., the material performance decays very slowly), then D2 will be large, indicating that the material has high durability. Conversely, if the average rate of voltage change is very high (i.e., the material performance decays very quickly), then D2 will be small, indicating that the material's durability is poor.

[0051] Continuing the example of the above embodiment: the preset current density is 0.5A / cm 2 , standard voltage V st is 1.2V, the critical voltage V cr The third output voltage V3 measured at the first optimization time point is 0.7 V. The fourth output voltage V4 measured at the second optimization time point is 0.95 V. The first time interval ΔT1 is 300 h.

[0052] but This means that the warm SOFC cathode material can maintain its performance within an acceptable range for about 3000 hours of operation.

[0053] In one embodiment, the optimization model in obtaining the first decay value based on the optimization model, the first output voltage, the second output voltage, and the critical voltage in S41 includes:

[0054] in,

[0055] R1 is the first decay value, V1 is the first output voltage, V2 is the second output voltage, V cr is the critical voltage.

[0056] In this embodiment, it should be noted that R1 represents the first degradation value, which quantifies the degree of degradation of the SOFC cathode material performance during the first time interval. V1 is the first output voltage, i.e., the first output voltage value measured at the first predicted time point. V2 is the second output voltage, i.e., the second output voltage value measured at the second predicted time point.

[0057] The entire expression compares the voltage drop to the total drop from the initial voltage to the critical voltage, thereby obtaining a relative degree of degradation. Furthermore, by calculating the ratio of the voltage drop to the total possible degradation, a standardized degradation value can be obtained. This value is not affected by the absolute voltage level and only reflects the degree of degradation. Furthermore, this proportional calculation method simplifies the comparison of degradation at different time points and voltage levels, making data from different experimental conditions more comparable.

[0058] Continuing with the above example, the threshold voltage V cr The first output voltage V1 measured at the first prediction time point is 0.7 V, and the second output voltage V2 measured at the second prediction time point is 1.08 V.

[0059] but

[0060] In one embodiment, the optimization model in obtaining the second decay value based on the optimization model, the third output voltage, the fourth output voltage, and the critical voltage in S42 includes:

[0061] in,

[0062] R2 is the first decay value, V3 is the third output voltage, V4 is the fourth output voltage, V cr is the critical voltage.

[0063] In this embodiment, it should be noted that, similarly, R2 represents the first degradation value, which quantifies the degree of degradation of the warm SOFC cathode material performance during the first time interval. V3 is the third output voltage, i.e., the third output voltage value measured at the first optimization time point. V4 is the fourth output voltage, i.e., the fourth output voltage value measured at the second optimization time point.

[0064] The entire expression compares the voltage drop to the total drop from the initial voltage to the critical voltage, thereby obtaining a relative degree of degradation. Furthermore, by calculating the ratio of the voltage drop to the total possible degradation, a standardized degradation value can be obtained. This value is not affected by the absolute voltage level and only reflects the degree of degradation. Furthermore, this proportional calculation method simplifies the comparison of degradation at different time points and voltage levels, making data from different experimental conditions more comparable.

[0065] Continuing with the above example, the threshold voltage V cr The third output voltage V3 measured at the first optimization time point is 1.0 V. The fourth output voltage V4 measured at the second optimization time point is 0.95 V.

[0066] but

[0067] In one embodiment, the step of acquiring the optimization model in the decay parameter based on the optimization model, the first decay value, the second decay value, the first time interval, and the second time interval in S43 includes:

[0068] in,

[0069] θ is a decay parameter, ΔT1 is a first time interval, ΔT2 is a second time interval, R1 is a first decay value, and R2 is a second decay value.

[0070] In this embodiment, it should be noted that This represents the average degradation rate of the warm SOFC cathode material performance during the first time interval ΔT1 (as a proportion of the total possible degradation). In other words, it shows how much the material performance degrades per unit time during the first time period (expressed as a proportion). and Similarly, this represents the average degradation rate of the warm SOFC cathode material performance (relative to the total possible degradation) during the second time interval ΔT2, which reflects the degradation of the material performance per unit time during the second time period. is through The difference between the average decay rates in the two time periods is calculated. This difference reflects the change in the decay rate of material properties over time. Finally, the absolute value is taken to ensure that the decay parameter θ is a positive number, because the decay rates in ΔT1 and ΔT2 are different. It may be positive or negative, but a positive number is used to quantify the magnitude of the change.

[0071] Continuing with the example of the above embodiment, the first time interval ΔT1 = 200h, the second time interval ΔT2 = 300h, the first decay value R1 = 0.05 (calculated based on the first and second output voltages and the critical voltage), and the second decay value R2 = 0.167 (calculated based on the third and fourth output voltages and the critical voltage).

[0072] Substitute these data into the expression to calculate the decay parameter θ,

[0073] In one embodiment, the target durability is obtained in S4 according to the degradation parameter, the first linear durability and the second linear durability, represented as:

[0074] wherein,

[0075] D ta is the target durability, D1 is the first linear durability, and D2 is the second linear durability.

[0076] In the present embodiment, it is noted that in the expression of the target durability, is the average of the first linear durability and the second linear durability, since D1 and D2 are calculated based on voltage data of different time periods, taking the average is mainly used to balance the degradation effect and obtain a processing object of the degradation parameter expression (the exponential part of the target durability), that is, the durability reference value, to reduce the prediction deviation caused by the fluctuation of single time point or time period data and improve the robustness of the prediction. exp[-·] is an exponential function, which can directly describe the non-linear relationship of durability attenuation. The degradation of the material is a cumulative process, and the early degradation will affect the later degradation speed. exp[-·] can reflect this cumulative effect, so that the early degradation will continue to affect the later degradation, thereby more accurately reflecting the overall durability of the material. is substantially divided by and then simplified to: wherein, θ reflects the rate of degradation of the material performance, and is used The degradation rate can be converted into a quantity inversely proportional to it, so that when the degradation rate increases, will decrease, and vice versa. This conversion makes the exponential part of the exponential function more intuitive to reflect the influence of the degradation rate on the durability; since D1 and D2 are calculated based on voltage data of different time periods, they are affected by the degradation in two different time periods, and taking the average balances this degradation, while dividing by this average can ensure that the influence of the degradation rate on the durability is balanced in different time periods, making the prediction result more accurate.

[0077] Continuing the example of the above embodiment, D1 = 5000 (h), D2 = 3000 (h), and θ = 0.003067, then they are brought into the expression for obtaining the target durability in the present embodiment.

[0078]

[0079] A SOFC cathode material durability prediction optimization system is also provided, the system comprising:

[0080] A standard acquisition module is used to obtain the critical voltage and standard voltage of the warm SOFC cathode material at a preset current density;

[0081] a first prediction module, configured to obtain a first prediction time point, a second prediction time point, and a first time interval between the first prediction time point and the second prediction time point, obtain a first output voltage of a warm SOFC cathode material at a preset current density at the first prediction time point, operate the warm SOFC cathode material at the first prediction time point and the preset current density for a first time interval, obtain a second output voltage of the warm SOFC cathode material at the preset current density at the second prediction time point, and obtain a first linear endurance based on the first prediction model, the first output voltage, the second output voltage, the first time interval, the critical voltage, and the standard voltage;

[0082] a second prediction module, configured to obtain, after the second prediction time point, the first optimization time point, the second optimization time point, and a second time interval between the first optimization time point and the second optimization time point, obtain a third output voltage of the warm SOFC cathode material at a preset current density at the first optimization time point, operate the warm SOFC cathode material at the first optimization time point and the preset current density for a second time interval, obtain a fourth output voltage of the warm SOFC cathode material at the preset current density at the first optimization time point, and obtain a second linear endurance based on the second prediction model, the third output voltage, the fourth output voltage, the second time interval, the critical voltage, and the standard voltage;

[0083] An optimization prediction module is used to obtain a degradation parameter based on the optimization model, the first output voltage, the second output voltage, the third output voltage, the fourth output voltage, the first time interval, the second time interval and the critical voltage, and to obtain a target durability based on the degradation parameter, the first linear durability and the second linear durability.

[0084] In one embodiment, the optimization prediction module is also used to: obtain a first decay value based on the optimization model, the first output voltage, the second output voltage and the critical voltage; obtain a second decay value based on the optimization model, the third output voltage, the fourth output voltage and the critical voltage; obtain a decay parameter based on the optimization model, the first decay value, the second decay value, the first time interval and the second time interval.

[0085] In this embodiment, it should be noted that, regarding the above-mentioned warm SOFC cathode material durability prediction and optimization system, the specific method of performing operations therein has been described in detail in the implementation of the warm SOFC cathode material durability prediction and optimization method, and will not be elaborated here.

[0086] The preferred embodiments of the present disclosure are described in detail above with reference to the drawings, but the present disclosure is not limited to the specific details in the above-described embodiments. Various simple modifications can be made to the technical solutions of the present disclosure within the scope of the technical concept of the present disclosure, and all these simple modifications shall fall within the protection scope of the present disclosure.

[0087] In addition, it should be noted that each specific technical feature described in the above-described specific embodiments can be combined in any appropriate manner without contradiction. In order to avoid unnecessary repetition, the present disclosure will not further describe various possible combinations.

[0088] Furthermore, any combination of the various different embodiments of the present disclosure can also be made, as long as it does not deviate from the idea of the present disclosure, and it shall be considered as disclosed by the present disclosure.

[0089] Finally, it should be noted that: the above embodiments are only used to illustrate the technical solutions of the present application, and not to limit them; although the present application has been described in detail with reference to the foregoing embodiments, those skilled in the art should understand: it can still modify the technical solutions recorded in the foregoing embodiments, or equivalently replace some or all of the technical features thereof; and these modifications or replacements do not make the essence of the corresponding technical solutions deviate from the scope of the technical solutions of the embodiments of the present application, and they shall be covered in the scope of the claims and the description of the present application.

Claims

1. A method for predicting and optimizing the durability of medium-temperature SOFC cathode materials, characterized in that: include: Obtain the critical voltage and standard voltage of the medium-temperature SOFC cathode material at a preset current density; Obtaining a first prediction time point, a second prediction time point, and a first time interval between the first prediction time point and the second prediction time point, and obtaining a first output voltage of the medium-temperature SOFC cathode material at a preset current density at the first prediction time point, and operating the medium-temperature SOFC cathode material at the first prediction time point and the preset current density for a first time interval, and obtaining a second output voltage of the medium-temperature SOFC cathode material at the preset current density at the second prediction time point, and obtaining a first linear endurance based on the first prediction model, the first output voltage, the second output voltage, the first time interval, the critical voltage, and the standard voltage; After the second prediction time point, obtaining the first optimization time point, the second optimization time point, and a second time interval between the first optimization time point and the second optimization time point, obtaining a third output voltage of the medium-temperature SOFC cathode material at a preset current density at the first optimization time point, operating the medium-temperature SOFC cathode material at the first optimization time point and the preset current density for a second time interval, obtaining a fourth output voltage of the medium-temperature SOFC cathode material at the preset current density at the first optimization time point, and obtaining a second linear endurance based on the second prediction model, the third output voltage, the fourth output voltage, the second time interval, the critical voltage, and the standard voltage; A first decay value is obtained based on the optimization model, the first output voltage, the second output voltage and the critical voltage; a second decay value is obtained based on the optimization model, the third output voltage, the fourth output voltage and the critical voltage; a decay parameter is obtained based on the optimization model, the first decay value, the second decay value, the first time interval and the second time interval; and a target durability is obtained based on the decay parameter, the first linear endurance and the second linear endurance.

2. The method for predicting and optimizing the durability of medium-temperature SOFC cathode materials according to claim 1, characterized in that: The first prediction model in obtaining the first linear endurance based on the first prediction model, the first output voltage, the second output voltage, the first time interval, the critical voltage, and the standard voltage is expressed as follows: ;in, is the first linear durability, is the first time interval, is the standard voltage, is the critical voltage, is the first output voltage, is the second output voltage.

3. The method for predicting and optimizing the durability of medium-temperature SOFC cathode materials according to claim 1, characterized in that: The first prediction model in obtaining the second linear endurance based on the second prediction model, the third output voltage, the fourth output voltage, the second time interval, the critical voltage, and the standard voltage is expressed as: ;in, is the second linear durability, is the second time interval, is the standard voltage, is the critical voltage, is the third output voltage, is the fourth output voltage.

4. The method for predicting and optimizing the durability of medium-temperature SOFC cathode materials according to claim 1, characterized in that: The step of obtaining the first decay value based on the optimization model, the first output voltage, the second output voltage, and the critical voltage comprises: ;in, is the first decay value, is the first output voltage, is the second output voltage, is the critical voltage.

5. The method for predicting and optimizing the durability of medium-temperature SOFC cathode materials according to claim 4, characterized in that: The step of obtaining the second decay value based on the optimization model, the third output voltage, the fourth output voltage, and the critical voltage comprises: ;in, is the first decay value, is the third output voltage, is the fourth output voltage, is the critical voltage.

6. The method for predicting and optimizing the durability of medium-temperature SOFC cathode materials according to claim 5, characterized in that: The step of obtaining the optimization model in the decay parameter based on the optimization model, the first decay value, the second decay value, the first time interval, and the second time interval includes: ;in, is the decay parameter, is the first time interval, is the second time interval, is the first decay value, is the second decay value.

7. The method for predicting and optimizing the durability of medium-temperature SOFC cathode materials according to claim 6, characterized in that: The target durability is obtained according to the decay parameter, the first linear durability and the second linear durability as follows: ;in, For target durability, is the first linear durability, It is the second linear durability.

8. A medium-temperature SOFC cathode material durability prediction and optimization system, characterized in that: The system comprises: Standard acquisition module, used to obtain the critical voltage and standard voltage of the medium-temperature SOFC cathode material at a preset current density; a first prediction module, configured to obtain a first prediction time point, a second prediction time point, and a first time interval between the first prediction time point and the second prediction time point, obtain a first output voltage of a medium-temperature SOFC cathode material at a preset current density at the first prediction time point, operate the medium-temperature SOFC cathode material at the first prediction time point and the preset current density for a first time interval, obtain a second output voltage of the medium-temperature SOFC cathode material at the preset current density at the second prediction time point, and obtain a first linear endurance based on the first prediction model, the first output voltage, the second output voltage, the first time interval, the critical voltage, and the standard voltage; a second prediction module, configured to obtain, after the second prediction time point, the first optimization time point, the second optimization time point, and a second time interval between the first optimization time point and the second optimization time point, obtain a third output voltage of the medium-temperature SOFC cathode material at a preset current density at the first optimization time point, operate the medium-temperature SOFC cathode material at the first optimization time point and the preset current density for a second time interval, obtain a fourth output voltage of the medium-temperature SOFC cathode material at the preset current density at the first optimization time point, and obtain a second linear endurance based on the second prediction model, the third output voltage, the fourth output voltage, the second time interval, the critical voltage, and the standard voltage; An optimization prediction module is used to obtain a first decay value based on an optimization model, a first output voltage, a second output voltage, and a critical voltage; obtain a second decay value based on the optimization model, a third output voltage, a fourth output voltage, and the critical voltage; obtain a decay parameter based on the optimization model, the first decay value, the second decay value, the first time interval, and the second time interval; and obtain a target durability based on the decay parameter, the first linear endurance, and the second linear endurance.

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