A method and system for calculating hydrogen consumption of a fuel cell

CN117984862BActive Publication Date: 2026-11-03BEIJING SINOHYTEC
View PDF 2 Cites 0 Cited by

Patent Information

Application Number
CN202211322538.5
Authority / Receiving Office
CN · China
Patent Type
Patents(China)
Current Assignee / Owner
Filing Date
2022-10-27
Publication Date
2026-11-03
Estimated Expiration
2042-10-27

AI Technical Summary

Technical Problem

The accuracy of hydrogen consumption in fuel cell vehicles is difficult to measure using traditional methods, leading to range anxiety and a decrease in driver safety.

Method used

By installing pressure and temperature sensors in the hydrogen storage system, the hydrogen refueling operation is identified and the hydrogen consumption is calculated. The mass change before and after hydrogen refueling is calculated using pressure and temperature data, and combined with vehicle mileage statistics, the hydrogen consumption per 100 kilometers is calculated.

Benefits of technology

Accurate calculation of hydrogen consumption rate for fuel cell vehicles eliminates range anxiety and improves driver safety and user experience.

✦ Generated by Eureka AI based on patent content.

Smart Images

  • Figure CN117984862B_ABST
    Figure CN117984862B_ABST
Patent Text Reader

Abstract

The present application relates to the technical field of fuel cell, in particular to a kind of fuel cell hydrogen consumption calculation method and system, the present application is calculated by calculating the pressure and temperature in hydrogen storage system bottle, the volume of bottle, the hydrogen mass reduction amount is calculated, and the mass reduction is accumulated, to calculate the consumption mass of hydrogen, solve the problem that hydrogen consumption is not accurate in the process of fuel cell vehicle operation;The rising change data of hydrogen storage system pressure sensor in cycle is identified to hydrogen filling operation, and the hydrogen mass change before and after hydrogen filling is calculated by pressure, temperature, hydrogen bottle volume, to calculate the filling mass;By setting the lower limit value P1 of hydrogen system pressure, it is considered that hydrogen pressure data has problem, data is ignored;Set P2 of hydrogen pressure identification, when pressure difference exceeds P2, it is considered that hydrogen filling operation is carried out;By calculating the cumulative filling amount and the cumulative mileage of vehicle travel, the hydrogen mass consumption rate of vehicle with mileage change is calculated.
Need to check novelty before this filing date? Find Prior Art

Description

Technical Field

[0001] This invention relates to the field of fuel cell technology, and specifically to a method and system for calculating hydrogen consumption in a fuel cell. Background Technology

[0002] As emissions from traditional vehicles increasingly contribute to environmental pollution, new energy vehicles have become a crucial solution to vehicle exhaust emissions, with more and more people prioritizing the use of fuel cells in their vehicles. However, people are particularly concerned about the impact of hydrogen costs on vehicle operating expenses during fuel cell use. Therefore, calculating the hydrogen consumption rate of fuel cell vehicles has become increasingly important. But due to the unique nature of hydrogen storage systems in fuel cells, the accuracy of hydrogen consumption in a vehicle is not as precise as in gasoline vehicles, where fuel tank levels can be used to assess fuel consumption. This leads to range anxiety and unease associated with hydrogen fuel cells, affecting drivers' sense of security. Summary of the Invention

[0003] The technical problem to be solved by the present invention is to provide a method and system for calculating the hydrogen consumption rate of a fuel cell by identifying the hydrogen refueling process through data after the hydrogen system is powered on, calculating the amount of hydrogen refueling each time, and thus calculating the hydrogen consumption rate of the vehicle.

[0004] To solve the above-mentioned technical problems, the technical solution adopted by the present invention is as follows:

[0005] A method for calculating hydrogen consumption in a fuel cell, including

[0006] Step 1: Read the pressure and temperature data of the hydrogen system within the cycle time T;

[0007] Step 2: Determine whether the hydrogen pressure data within the cycle is lower than the first preset value P1. If so, proceed to step 3; otherwise, proceed to step 4.

[0008] Step 3: Delete data that is lower than the first preset value P1 and the corresponding temperature data for that time period;

[0009] Step 4: Compare the hydrogen pressure value p(t) at the previous moment with the data p(t+1) at the next moment, P = p(t+1) - p(t);

[0010] Step 5: Determine whether P is greater than the hydrogen addition amount set value P2. If not, return to step 4; otherwise, proceed to step 6.

[0011] Step 6: Calculate the hydrogen addition mass m = f(q(t+1), p(t+1), V) - f(q(t), p(t), V), where q(t) is the hydrogen temperature value at the previous moment, q(t+1) is the hydrogen temperature value at the next moment, and V is the volume of the hydrogen storage tank.

[0012] Step 7: Determine if time t+1 is the last time of period T. If not, proceed to step 8; if so, proceed to step 9.

[0013] Step 8: Accumulate the hydrogenated mass M = M + m, and return to step 4;

[0014] Step 9: Obtain the vehicle's mileage within period T, S = S(e) - S(s), where S(e) is the mileage at the end of period T, and S(s) is the mileage at the beginning of period T.

[0015] Step 10: Calculate the vehicle's hydrogen consumption per 100 kilometers (L). The calculation formula is as follows:

[0016] Preferably, the cycle time T = f(n), where n is the number of hydrogen additions.

[0017] Preferably, the first preset value P1 needs to be determined based on the lower limit of the normal operating pressure of the hydrogen system pipeline.

[0018] Preferably, step 3 further includes: deleting data below a first preset value and temperature data at the corresponding time, saving the remaining data as new data for subsequent analysis.

[0019] Preferably, step 5 further includes: determining whether P is greater than the hydrogen addition amount set value P2; if not, returning to step 4; if yes, then determining that a hydrogen addition operation has been performed, and proceeding to step 6.

[0020] To solve the above-mentioned technical problems, another technical solution adopted by the present invention is as follows:

[0021] A fuel cell hydrogen consumption calculation system, including

[0022] Hydrogen storage cylinders are used to store hydrogen gas.

[0023] Temperature sensor used to collect the temperature of hydrogen gas inside the hydrogen storage tank;

[0024] Pressure sensor used to collect hydrogen pressure in hydrogen pipelines;

[0025] The data collector is used to send the collected mild pressure information to the cloud platform;

[0026] The cloud platform receives information from the data collector and calculates the cumulative hydrogen consumption based on the data; the calculation process includes...

[0027] Step 21: Read the hydrogen system pressure and temperature data within cycle time T on the cloud platform;

[0028] Step 22: Determine whether the hydrogen pressure data within the cycle is lower than the first preset value P1. If so, proceed to step 23; otherwise, proceed to step 24.

[0029] Step 23: Delete data that is lower than the first preset value and the corresponding temperature data for that time period;

[0030] Step 24: Compare the hydrogen pressure value p(t) at the previous moment with the data p(t+1) at the next moment, P = p(t+1) - p(t);

[0031] Step 25: Determine whether P is greater than the hydrogenation amount set value P2. If not, return to step 24; otherwise, proceed to step 26.

[0032] Step 26: Calculate the hydrogen addition mass m = f(q(t+1), p(t+1), V) - f(q(t), p(t), V), where q(t) is the hydrogen temperature value at the previous moment, q(t+1) is the hydrogen temperature value at the next moment, and V is the volume of the hydrogen storage tank.

[0033] Step 27: Determine whether time t+1 is the last moment of period T. If not, proceed to step 28; if so, proceed to step 29.

[0034] Step 28: Accumulate hydrogenation mass M = M + m, and return to step four;

[0035] Step 29: Obtain the vehicle's mileage within period T, S = S(e) - S(s), where S(e) is the mileage at the end of period T, and S(s) is the mileage at the beginning of period T.

[0036] Step 30: Calculate the vehicle's hydrogen consumption per 100 kilometers (L). The calculation formula is as follows: The system can also display hydrogen consumption information on the user's computer or other terminals.

[0037] Preferably, the cycle time T = f(n), where n is the number of hydrogen additions.

[0038] Preferably, the first preset value P1 needs to be determined based on the lower limit of the normal operating pressure of the hydrogen system pipeline.

[0039] Preferably, step 23 further includes: deleting data below a first preset value and temperature data at the corresponding time, saving the remaining data as new data for subsequent analysis.

[0040] Preferably, step 25 further includes: determining whether P is greater than the hydrogen addition amount set value P2; if not, returning to step 24; if yes, then determining that a hydrogen addition operation has been performed, and executing step 26.

[0041] The beneficial effects of this invention are as follows: By calculating the pressure and temperature inside the hydrogen storage system cylinder and the cylinder's volume, the amount of hydrogen mass reduction is calculated, and the reduced mass is accumulated to calculate the hydrogen consumption mass, thus solving the problem of inaccurate hydrogen consumption statistics during fuel cell vehicle operation; by identifying the rise and fall data of the hydrogen storage system pressure sensor within a cycle, hydrogen refueling operations are detected, and the change in hydrogen mass before and after refueling is calculated using pressure, temperature, and hydrogen cylinder volume, thereby calculating the refueling mass; by setting a lower limit value P1 for the hydrogen system pressure, hydrogen pressure data is considered problematic and ignored; a hydrogen refueling pressure detection value P2 is set, and when the pressure difference exceeds P2, a hydrogen refueling operation is considered to have occurred; by calculating the accumulated refueling amount and the vehicle's accumulated mileage, the hydrogen mass consumption rate of the vehicle as a function of mileage is calculated. Attached Figure Description

[0042] Figure 1 A flowchart illustrating a method for calculating hydrogen consumption in a fuel cell according to a specific embodiment of the present invention;

[0043] Figure 2 This is a block diagram of a fuel cell hydrogen consumption calculation system according to a specific embodiment of the present invention;

[0044] Labeling explanation: 1. Hydrogen storage cylinder; 2. Temperature sensor; 3. Pressure sensor; 4. Data acquisition unit; 5. Cloud platform; 6. User computer or other terminal. Detailed Implementation

[0045] To explain in detail the technical content, objectives, and effects of the present invention, the following description is provided in conjunction with the embodiments and accompanying drawings.

[0046] Please refer to Figure 1 as well as Figure 2 A method for calculating hydrogen consumption in a fuel cell, including

[0047] Step 1: Read the pressure and temperature data of the hydrogen system within the cycle time T;

[0048] Step 2: Determine whether the hydrogen pressure data within the cycle is lower than the first preset value P1. If so, proceed to step 3; otherwise, proceed to step 4.

[0049] Step 3: Delete data that is lower than the first preset value P1 and the corresponding temperature data for that time period;

[0050] Step 4: Compare the hydrogen pressure value p(t) at the previous moment with the data p(t+1) at the next moment, P = p(t+1) - p(t);

[0051] Step 5: Determine whether P is greater than the hydrogen addition amount set value P2. If not, return to step 4; otherwise, proceed to step 6.

[0052] Step 6: Calculate the hydrogen addition mass m = f(q(t+1), p(t+1), V) - f(q(t), p(t), V), where q(t) is the hydrogen temperature value at the previous moment, q(t+1) is the hydrogen temperature value at the next moment, and V is the volume of the hydrogen storage tank.

[0053] Step 7: Determine if time t+1 is the last time of period T. If not, proceed to step 8; if so, proceed to step 9.

[0054] Step 8: Accumulate the hydrogenated mass M = M + m, and return to step 4;

[0055] Step 9: Obtain the vehicle's mileage within period T, S = S(e) - S(s), where S(e) is the mileage at the end of period T, and S(s) is the mileage at the beginning of period T.

[0056] Step 10: Calculate the vehicle's hydrogen consumption per 100 kilometers (L). The calculation formula is as follows:

[0057] As described above, by calculating the pressure and temperature inside the hydrogen storage system cylinder and the cylinder's volume, the amount of hydrogen mass reduction is calculated, and this reduction is accumulated to calculate the hydrogen consumption mass, thus solving the problem of inaccurate hydrogen consumption statistics during fuel cell vehicle operation. Hydrogen refueling operations are identified by monitoring the rise and fall of the hydrogen storage system pressure sensor data within a cycle, and the change in hydrogen mass before and after refueling is calculated using pressure, temperature, and hydrogen cylinder volume, thus calculating the refueling mass. A lower limit value P1 for the hydrogen system pressure is set to indicate that the hydrogen pressure data is problematic and is ignored. A hydrogen refueling pressure identification value P2 is set; when the pressure difference exceeds P2, a hydrogen refueling operation is considered to have occurred. By calculating the accumulated refueling amount and the vehicle's accumulated mileage, the hydrogen mass consumption rate of the vehicle as a function of mileage is calculated.

[0058] Furthermore, the cycle time T = f(n), where n is the number of hydrogen additions.

[0059] Furthermore, the first preset value P1 needs to be determined based on the lower limit of the normal operating pressure of the hydrogen system pipeline.

[0060] Furthermore, step 3 further includes: deleting data below a first preset value and temperature data at the corresponding time, saving the remaining data as new data for subsequent analysis.

[0061] Furthermore, step 5 further includes: determining whether P is greater than the hydrogen addition amount set value P2; if not, returning to step 4; if yes, then determining that a hydrogen addition operation has been performed, and proceeding to step 6.

[0062] A fuel cell hydrogen consumption calculation system, including

[0063] Hydrogen storage cylinder 1, used to store hydrogen gas;

[0064] Temperature sensor 2 is used to collect the temperature of hydrogen gas inside the hydrogen storage cylinder;

[0065] Pressure sensor 3 is used to collect the hydrogen pressure in the hydrogen pipeline;

[0066] Collector 4 is used to send the collected mild pressure information to the cloud platform;

[0067] Cloud platform 5 is used to receive information sent by the data collector and calculate the cumulative hydrogen consumption based on the data; the calculation process includes...

[0068] Step 21: Read the hydrogen system pressure and temperature data within cycle time T on the cloud platform;

[0069] Step 22: Determine whether the hydrogen pressure data within the cycle is lower than the first preset value P1. If so, proceed to step 23; otherwise, proceed to step 24.

[0070] Step 23: Delete data that is lower than the first preset value and the corresponding temperature data for that time period;

[0071] Step 24: Compare the hydrogen pressure value p(t) at the previous moment with the data p(t+1) at the next moment, P = p(t+1) - p(t);

[0072] Step 25: Determine whether P is greater than the hydrogenation amount set value P2. If not, return to step 24; otherwise, proceed to step 26.

[0073] Step 26: Calculate the hydrogen addition mass m = f(q(t+1), p(t+1), V) - f(q(t), p(t), V), where q(t) is the hydrogen temperature value at the previous moment, q(t+1) is the hydrogen temperature value at the next moment, and V is the volume of the hydrogen storage tank.

[0074] Step 27: Determine whether time t+1 is the last moment of period T. If not, proceed to step 28; if so, proceed to step 29.

[0075] Step 28: Accumulate hydrogenation mass M = M + m, and return to step four;

[0076] Step 29: Obtain the vehicle's mileage within period T, S = S(e) - S(s), where S(e) is the mileage at the end of period T, and S(s) is the mileage at the beginning of period T.

[0077] Step 30: Calculate the vehicle's hydrogen consumption per 100 kilometers (L). The calculation formula is as follows: And the user's computer or other terminal 6 can display the hydrogen consumption status.

[0078] Furthermore, the cycle time T = f(n), where n is the number of hydrogen additions.

[0079] Furthermore, the first preset value P1 needs to be determined based on the lower limit of the normal operating pressure of the hydrogen system pipeline.

[0080] Furthermore, step 23 further includes: deleting data below a first preset value and temperature data at the corresponding time, saving the remaining data as new data for subsequent analysis.

[0081] Furthermore, step 25 further includes: determining whether P is greater than the hydrogen addition amount set value P2; if not, returning to step 24; if yes, then determining that a hydrogen addition operation has been performed, and executing step 26.

[0082] Example 1

[0083] A method for calculating hydrogen consumption in a fuel cell, including

[0084] Step 1: Read the pressure and temperature data of the hydrogen system within the cycle time T; the cycle time T = f(n), where n is the number of hydrogen additions.

[0085] Step 2: Determine if the hydrogen pressure data within the cycle is lower than the first preset value P1. If so, proceed to step 3; otherwise, proceed to step 4. The first preset value P1 needs to be determined based on the lower limit of the normal operating pressure of the hydrogen system pipeline.

[0086] Step 3: Delete the data below the first preset value P1 and the temperature data at the corresponding time, and save the remaining data as new data for subsequent analysis.

[0087] Step 4: Compare the hydrogen pressure value p(t) at the previous moment with the data p(t+1) at the next moment, P = p(t+1) - p(t);

[0088] Step 5: Determine if P is greater than the hydrogen addition amount set value P2. If not, return to step 4. If yes, it is determined that a hydrogen addition operation has been performed, and step 6 is executed.

[0089] Step 6: Calculate the hydrogen addition mass m = f(q(t+1), p(t+1), V) - f(q(t), p(t), V), where q(t) is the hydrogen temperature value at the previous moment, q(t+1) is the hydrogen temperature value at the next moment, and V is the volume of the hydrogen storage tank.

[0090] Step 7: Determine if time t+1 is the last time of period T. If not, proceed to step 8; if so, proceed to step 9.

[0091] Step 8: Accumulate the hydrogenated mass M = M + m, and return to step 4;

[0092] Step 9: Obtain the vehicle's mileage within period T, S = S(e) - S(s), where S(e) is the mileage at the end of period T, and S(s) is the mileage at the beginning of period T.

[0093] Step 10: Calculate the vehicle's hydrogen consumption per 100 kilometers (L). The calculation formula is as follows:

[0094] Example 2

[0095] A fuel cell hydrogen consumption calculation system, including

[0096] Hydrogen storage cylinders are used to store hydrogen gas.

[0097] Temperature sensor used to collect the temperature of hydrogen gas inside the hydrogen storage tank;

[0098] Pressure sensor used to collect hydrogen pressure in hydrogen pipelines;

[0099] The data collector is used to send the collected mild pressure information to the cloud platform;

[0100] The cloud platform receives information from the data collector and calculates the cumulative hydrogen consumption based on the data; the calculation process includes...

[0101] Step 21: Read the pressure and temperature data of the hydrogen system within the cycle time T on the cloud platform; the cycle time T = f(n), where n is the number of hydrogen additions.

[0102] Step 22: Determine whether the hydrogen pressure data within the cycle is lower than the first preset value P1. If so, proceed to step 23; otherwise, proceed to step 24. The first preset value P1 needs to be determined based on the lower limit of the normal operating pressure of the hydrogen system pipeline.

[0103] Step 23: Delete the data below the first preset value P1 and the temperature data at the corresponding time, and save the remaining data as new data for subsequent analysis.

[0104] Step 24: Compare the hydrogen pressure value p(t) at the previous moment with the data p(t+1) at the next moment, P = p(t+1) - p(t);

[0105] Step 25: Determine whether P is greater than the hydrogen addition amount set value P2. If not, return to step 24. If yes, it is determined that a hydrogen addition operation has been performed, and step 26 is executed.

[0106] Step 26: Calculate the hydrogen addition mass m = f(q(t+1), p(t+1), V) - f(q(t), p(t), V), where q(t) is the hydrogen temperature value at the previous moment, q(t+1) is the hydrogen temperature value at the next moment, and V is the volume of the hydrogen storage tank.

[0107] Step 27: Determine whether time t+1 is the last moment of period T. If not, proceed to step 28; if so, proceed to step 29.

[0108] Step 28: Accumulate hydrogenation mass M = M + m, and return to step four;

[0109] Step 29: Obtain the vehicle's mileage within period T, S = S(e) - S(s), where S(e) is the mileage at the end of period T, and S(s) is the mileage at the beginning of period T.

[0110] Step 30: Calculate the vehicle's hydrogen consumption per 100 kilometers (L). The calculation formula is as follows: The system can also display hydrogen consumption information on the user's computer or other terminals.

[0111] The above description is merely an embodiment of the present invention and does not limit the patent scope of the present invention. Any equivalent modifications made based on the content of the present invention specification and drawings, or direct or indirect applications in related technical fields, are similarly included within the patent protection scope of the present invention.

Claims

1. A method for calculating hydrogen consumption in a fuel cell, characterized in that, include: Step 1: Read the pressure and temperature data of the hydrogen system within the cycle time T; Step 2: Determine whether the hydrogen pressure data within the cycle is lower than the first preset value P1. If so, proceed to step 3; otherwise, proceed to step 4. Step 3: Delete data that is lower than the first preset value P1 and the corresponding temperature data for that time period; Step 4: Compare the hydrogen pressure value p(t) at the previous moment with the data p(t+1) at the next moment, P = p(t+1) - p(t); Step 5: Determine whether P is greater than the hydrogen addition amount set value P2. If not, return to step 4; otherwise, proceed to step 6. Step 6: Calculate the hydrogen addition mass m = f(q(t+1), p(t+1), V) - f(q(t), p(t), V), where q(t) is the hydrogen temperature value at the previous moment, q(t+1) is the hydrogen temperature value at the next moment, and V is the volume of the hydrogen storage tank. Step 7: Determine if time t+1 is the last time of period T. If not, proceed to step 8; if so, proceed to step 9. Step 8, Accumulated hydrogenation mass M n =M n-1 +m, and return to step 4; Step 9: Obtain the vehicle's mileage within period T, S = S(e) - S(s), where S(e) is the mileage at the end of period T, and S(s) is the mileage at the beginning of period T. Step 10: Calculate the vehicle's hydrogen consumption per 100 kilometers (L). The calculation formula is as follows: ; Wherein, the cycle time T = f(n), and n is the number of hydrogen additions.

2. The method for calculating hydrogen consumption in a fuel cell according to claim 1, characterized in that, The first preset value P1 needs to be determined based on the lower limit of the normal operating pressure of the hydrogen system pipeline.

3. The method for calculating hydrogen consumption in a fuel cell according to claim 1, characterized in that, Step 3 further includes: Delete data that is below the first preset value and the corresponding temperature data for that time period, and save the remaining data as new data for subsequent analysis.

4. The method for calculating hydrogen consumption in a fuel cell according to claim 1, characterized in that, Step 5 further includes: Determine if P is greater than the hydrogen addition amount set value P2. If not, return to step 4. If yes, it is determined that a hydrogen addition operation has been performed, and step 6 is executed.

5. A fuel cell hydrogen consumption calculation system, characterized in that, The computing system is based on the computing method according to any one of claims 1-4, and includes a hydrogen storage cylinder for storing hydrogen. Temperature sensor used to collect the temperature of hydrogen gas inside the hydrogen storage tank; Pressure sensor used to collect hydrogen pressure in hydrogen pipeline; The data collector is used to send the collected mild pressure information to the cloud platform; The cloud platform is used to receive information sent by the data collector and calculate the cumulative hydrogen consumption based on the data. The calculation process includes: Step 21: Read the hydrogen system pressure and temperature data within cycle time T on the cloud platform; Step 22: Determine whether the hydrogen pressure data within the cycle is lower than the first preset value P1. If so, proceed to step 23; otherwise, proceed to step 24. Step 23: Delete data that is lower than the first preset value and the corresponding temperature data for that time period; Step 24: Compare the hydrogen pressure value p(t) at the previous moment with the data p(t+1) at the next moment, P = p(t+1) - p(t); Step 25: Determine whether P is greater than the hydrogenation amount set value P2. If not, return to step 24; otherwise, proceed to step 26. Step 26: Calculate the hydrogen addition mass m = f(q(t+1), p(t+1), V) - f(q(t), p(t), V), where q(t) is the hydrogen temperature value at the previous moment, q(t+1) is the hydrogen temperature value at the next moment, and V is the volume of the hydrogen storage tank. Step 27: Determine whether time t+1 is the last moment of period T. If not, proceed to step 28; if so, proceed to step 29. Step 28, Accumulated hydrogenation mass M n =M n-1 +m, and return to step 4; Step 29: Obtain the vehicle's mileage within period T, S = S(e) - S(s), where S(e) is the mileage at the end of period T, and S(s) is the mileage at the beginning of period T. Step 30: Calculate the vehicle's hydrogen consumption per 100 kilometers (L). The calculation formula is as follows: ; Wherein, the cycle time T = f(n), and n is the number of hydrogen additions.

6. The fuel cell hydrogen consumption calculation system according to claim 5, characterized in that, The first preset value P1 needs to be determined based on the lower limit of the normal operating pressure of the hydrogen system pipeline.

7. The fuel cell hydrogen consumption calculation system according to claim 6, characterized in that, Step 23 further includes: Delete data that is below the first preset value and the corresponding temperature data for that time period, and save the remaining data as new data for subsequent analysis.

8. The fuel cell hydrogen consumption calculation system according to claim 7, characterized in that, Step 25 further includes: Determine if P is greater than the hydrogen addition amount set value P2. If not, return to step 24. If yes, it is determined that a hydrogen addition operation has been performed, and step 26 is executed.

Citation Information

Patent Citations

  • Calibration method and system for power efficient point

    CN109677269A

  • Method for detecting leakage of hydrogen storage system and remote data platform

    CN113447213A