Performance and cost performance comprehensive evaluation method of porous transmission layer for water electrolysis hydrogen production
The entropy value empowerment method comprehensively evaluates multiple performance indicators of the porous transport layer for hydrogen production by water electrolysis, which solves the problems of single evaluation indicators and lack of objectivity in the prior art, and achieves a comprehensive, accurate and reliable evaluation of the performance of the porous transport layer.
Patent Information
- Application Number
- CN202510225783.1
- Authority / Receiving Office
- CN · China
- Patent Type
- Applications(China)
- Current Assignee / Owner
- Filing Date
- 2025-02-27
- Publication Date
- 2025-06-13
AI Technical Summary
The prior art lacks a comprehensive performance evaluation method for porous transport layer for hydroelectric hydrogen production, with single evaluation indexes and a lack of objective and comprehensive evaluation method.
The entropy value empowerment method is used to comprehensively evaluate multiple performance indicators of the porous transport layer. Through the construction of an evaluation index matrix, standardization processing, calculation of entropy and weights, comprehensive performance evaluation value and cost-effectiveness, etc., the comprehensive evaluation of the performance of the porous transport layer is achieved.
It improves the objectivity, comprehensiveness and accuracy of the performance evaluation of porous transport layer, avoids the uncertainty caused by subjective assignment, and can consider differences among multiple indicators, which improves the reliability of the evaluation results.
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Figure CN120146677A_ABST
Abstract
Description
Technical Field
[0001] The present invention belongs to the technical field of hydrogen production by water electrolysis, and in particular relates to a comprehensive evaluation method for the performance and cost performance of a porous transport layer for hydrogen production by water electrolysis. Background Art
[0002] Hydrogen production by electrolyzing water using renewable energy is an important green hydrogen production technology, which has the characteristics of zero emissions and low carbon, and is one of the important directions for the future development of sustainable energy. Proton exchange membrane (PEM) water electrolysis technology not only has the characteristics of high current density, high hydrogen purity, fast response speed and high hydrogen production efficiency, but also has the characteristics of small volume, large adjustable range of load fluctuation and high safety. Although its single cell scale is small and the cost is high, it is of great significance in accelerating the energy transformation and promoting the construction of green energy bases.
[0003] A PEM electrolyzer mainly consists of a membrane electrode, a porous transport layer and a bipolar plate. The function of the porous transport layer is not only to support the electrolyzer structure, but also to act as a transport channel for gases and electrolytes, and at the same time has the functions of heat conduction and electricity conduction. In addition, due to the high anodic overpotential of PEM water electrolysis, the porous transport layer needs to maintain good corrosion resistance under high potential conditions, and at the same time has good mechanical properties, electrical conductivity and low density. Therefore, comprehensive evaluation of the performance of the porous transport layer for hydrogen production by water electrolysis is crucial for improving the hydrogen production efficiency of the electrolyzer. However, the performance evaluation methods of the porous transport layer disclosed in the prior art have a single evaluation index and only consider a certain type of performance characteristics of the porous transport layer, such as mechanical properties, electrical properties, etc. And the evaluation of the comprehensive performance of the porous transport layer usually involves artificial determination factors, lacking an objective and comprehensive comprehensive performance evaluation method for the porous transport layer for PEM water electrolysis.
[0004] In view of this, the present invention proposes a comprehensive evaluation method for the performance and cost performance of a porous transport layer for hydrogen production by water electrolysis to solve the above practical problems. Summary of the Invention
[0005] The technical problem to be solved by the present invention is to provide a comprehensive evaluation method for the performance and cost performance of a porous transport layer for water electrolysis hydrogen production in view of the deficiencies in the above-mentioned prior art. Based on multiple performance indicators and unit prices of the porous transport layer, the entropy weight method is used to comprehensively evaluate the porous transport layer. The evaluation results have high application value and reliability. The entropy weight method is directly calculated based on the sample data itself. Firstly, it can make full use of the information in the data and avoid the uncertainty brought by subjective assignment. Secondly, the entropy weight method can not only consider the correlation between evaluation indicators, but also consider the differences between indicators when considering multiple indicators at the same time, which makes the evaluation results more accurate and detailed. Therefore, using the entropy weight method to evaluate the comprehensive performance of the porous transport layer for water electrolysis hydrogen production has the advantages of objectivity, comprehensiveness, applicability, easy understanding and implementation, and improving the accuracy and reliability of the evaluation results.
[0006] To solve the above technical problems, the technical solution adopted by the present invention is: a comprehensive evaluation method for the performance and cost performance of a porous transport layer for water electrolysis hydrogen production, characterized in that: the method includes the following steps:
[0007] Step 1: Based on the performance index data x of the porous transport layer for water electrolysis hydrogen production ij , construct an evaluation index matrix of the porous transport layer for water electrolysis hydrogen production where i = 1, 2,..., m represents the number of evaluation objects, j = 1, 2,..., n represents the number of evaluation indicators, and x ij represents the value of the i-th evaluation object on the j-th indicator;
[0008] Step 2: Standardize the index data according to the evaluation index matrix, and convert the absolute value of the index data into a relative value;
[0009] Step 3: Based on the standardized data, calculate the proportion P of the i-th evaluation object in the index X j ; ij ;
[0010] Step 4: Calculate the entropy value E of the j-th index X j ; j ;
[0011] Step 5: Determine the weight W of each index by calculating the information redundancy j ;
[0012] Step 6: Calculate the comprehensive performance evaluation value S of each evaluation object according to the standardized data and weights of each index i ;
[0013] Step 7: Calculate the cost performance value CS of the evaluation object based on the comprehensive performance evaluation value and unit price of each evaluation object i .
[0014] The above comprehensive evaluation method for the performance and cost performance of a porous transport layer for water electrolysis hydrogen production is characterized in that: in step one, the performance index data of the porous transport layer for water electrolysis hydrogen production include intrinsic performance indexes, mechanical performance indexes, electrical performance indexes, and durability performance indexes;
[0015] The intrinsic performance indexes include the porosity, thickness, surface roughness, and permeability of the porous transport layer for water electrolysis hydrogen production;
[0016] The mechanical performance indexes include the tensile strength and flexural modulus of the porous transport layer for water electrolysis hydrogen production;
[0017] The electrical performance indexes include the conductivity of the porous transport layer for water electrolysis hydrogen production;
[0018] The durability performance indexes include the corrosion current density of the porous transport layer for water electrolysis hydrogen production.
[0019] The above comprehensive evaluation method for the performance and cost performance of a porous transport layer for water electrolysis hydrogen production is characterized in that: in step two, the index data are divided into positive indexes and negative indexes, and the index data are converted into standardized index data by using a standardization formula. The calculation formula is as follows:
[0020] Positive index:
[0021] Negative index: where x ij is the original value of the j-th index of the i-th evaluation object, y ij is the standardized value of the j-th index of the i-th evaluation object, and X j is the set of all sample values of the j-th index.
[0022] The above comprehensive evaluation method for the performance and cost performance of a porous transport layer for water electrolysis hydrogen production is characterized in that: in step three, based on the standardized index data obtained in step two, calculate the proportion P j of the i-th evaluation object in the index X ij , and the calculation formula is as follows:
[0023] where i = 1, 2,..., m represents the number of evaluation objects.
[0024] The above comprehensive evaluation method for the performance and cost performance of a porous transport layer for water electrolysis hydrogen production is characterized in that: in step four, based on the proportion of the index obtained in step three, calculate the entropy value E j of the j-th index X j , and the calculation formula is as follows:
[0025] Among them, i = 1, 2, …, m represents the number of evaluation objects, and P ij is the proportion of the i-th porous transport layer under the index X j in this index. When P ij is 0, then P ij ln(P ij ) = 0.
[0026] For the above comprehensive evaluation method of the performance and cost performance of the porous transport layer for water electrolysis hydrogen production, it is characterized in that: in step five, the weight W j of each index is calculated as follows:
[0027] Among them, j = 1, 2, …, n represents the number of evaluation indexes, and E j is the entropy value of the j-th index X j .
[0028] For the above comprehensive evaluation method of the performance and cost performance of the porous transport layer for water electrolysis hydrogen production, it is characterized in that: in step six, the comprehensive performance evaluation value S i of each evaluation object is calculated as follows:
[0029] Among them, j = 1, 2, …, n represents the number of evaluation indexes, W j is the weight of each index; y ij is the value of the j-th index of the i-th sample after standardization.
[0030] For the above comprehensive evaluation method of the performance and cost performance of the porous transport layer for water electrolysis hydrogen production, it is characterized in that: in step seven, the cost performance value CS i of the evaluation object is calculated as follows:
[0031] Among them, S i is the comprehensive performance evaluation value of each evaluation object, and C i is the unit price corresponding to each evaluation object.
[0032] The present invention has the following advantages compared with the prior art:
[0033] 1. Based on multiple performance indexes and unit prices of the porous transport layer, the present invention comprehensively evaluates the porous transport layer by using the entropy weight method, and the evaluation results have high application value and reliability.
[0034] 2. The present invention uses the entropy weight method to calculate directly based on the sample data itself. First, it can make full use of the information in the data, avoiding the uncertainty brought by subjective assignment. Second, the entropy weight method can not only consider the correlation between evaluation indicators, but also consider the differences between indicators when multiple indicators are considered simultaneously, making the evaluation results more accurate and detailed. Therefore, using the entropy weight method to evaluate the comprehensive performance of the porous transport layer for water electrolysis hydrogen production has the advantages of objectivity, comprehensiveness, applicability, easy understanding and implementation, and improving the accuracy and reliability of the evaluation results.
[0035] In summary, the present invention comprehensively evaluates the porous transport layer according to multiple performance indicators and unit prices of the porous transport layer by using the entropy weight method. The evaluation results have high application value and reliability. Using the entropy weight method to calculate directly based on the sample data itself can, first, make full use of the information in the data and avoid the uncertainty brought by subjective assignment. Second, the entropy weight method can not only consider the correlation between evaluation indicators, but also consider the differences between indicators when multiple indicators are considered simultaneously, making the evaluation results more accurate and detailed. Therefore, using the entropy weight method to evaluate the comprehensive performance of the porous transport layer for water electrolysis hydrogen production has the advantages of objectivity, comprehensiveness, applicability, easy understanding and implementation, and improving the accuracy and reliability of the evaluation results.
[0036] The technical solution of the present invention will be further described in detail below with reference to the accompanying drawings and embodiments. BRIEF DESCRIPTION OF THE DRAWINGS
[0037] Figure 1 It is a flow chart of the method of the present invention. DETAILED DESCRIPTION OF THE EMBODIMENTS
[0038] As Figure 1 shown, a comprehensive evaluation method for the performance and cost performance of a porous transport layer for water electrolysis hydrogen production, the method comprising the following steps:
[0039] Step 1: Based on the performance index data x ij of the porous transport layer for water electrolysis hydrogen production, construct an evaluation index matrix of the porous transport layer for water electrolysis hydrogen production, where i = 1, 2,..., m represents the number of evaluation objects, j = 1, 2,..., n represents the number of evaluation indicators, and x ij represents the value of the i-th evaluation object on the j-th indicator;
[0040] Among them, in Step 1, the performance index data of the porous transport layer for water electrolysis hydrogen production includes intrinsic performance indicators, mechanical performance indicators, electrical performance indicators, and durability performance indicators;
[0041] The intrinsic performance indicators include the porosity, thickness, surface roughness, and permeability of the porous transport layer for hydrogen production by water electrolysis;
[0042] The mechanical performance indicators include the tensile strength and flexural modulus of the porous transport layer for hydrogen production by water electrolysis;
[0043] The electrical performance indicators include the conductivity of the porous transport layer for hydrogen production by water electrolysis;
[0044] The durability performance indicators include the corrosion current density of the porous transport layer for hydrogen production by water electrolysis.
[0045] Step 2: Standardize the index data according to the evaluation index matrix, and convert the absolute value of the index data into a relative value;
[0046] Divide each index data into positive indexes and negative indexes, and use the standardization formula to convert the index data into standardized index data. The calculation formula is as follows:
[0047] Positive index:
[0048] Negative index: where, x ij is the original value of the jth index of the ith evaluation object, and y ij is the value of the jth index of the ith evaluation object after standardization, and X j is the set of all sample values of the jth index.
[0049] Step 3: Based on the standardized data, calculate the proportion P j of the ith evaluation object in the index X ij ;
[0050] Based on the standardized index data obtained in Step 2, calculate the proportion P j of the ith evaluation object in the index X ij , and the calculation formula is as follows:
[0051] where, i = 1, 2, …, m represents the number of evaluation objects.
[0052] Step 4: Calculate the entropy value E j of the jth index X j ;
[0053] Based on the proportion of the index obtained in Step 3, calculate the entropy value E j of the jth index X j , and the calculation formula is as follows:
[0054] where, i = 1, 2, …, m represents the number of evaluation objects, and Pij For index X j The proportion of the i-th porous transport layer under the index in this index. When P ij is 0, then P ij ln(P ij ) = 0.
[0055] Step Five: Determine the weight W of each index by calculating the information redundancy j ;
[0056] The weight W of each index j The calculation formula is as follows:
[0057] Among them, j = 1, 2,..., n represents the number of evaluation indexes, and E j is the entropy value of the j-th index X j .
[0058] Step Six: Calculate the comprehensive performance evaluation value S of each evaluation object according to the standardized data and weights of each index i ;
[0059] The comprehensive performance evaluation value S of each evaluation object i The calculation formula is as follows:
[0060] Among them, j = 1, 2,..., n represents the number of evaluation indexes, and W j is the weight of each index; y ij is the value of the j-th index of the i-th sample after standardization.
[0061] Step Seven: Calculate the cost performance value CS of the evaluation object based on the comprehensive performance evaluation value and unit price of each evaluation object i ;
[0062] The cost performance value CS of the evaluation object i The calculation formula is as follows:
[0063] Among them, S i is the comprehensive performance evaluation value of each evaluation object, and C i is the unit price corresponding to each evaluation object.
[0064] Based on multiple performance indexes and unit prices of the porous transport layer, the present invention comprehensively evaluates the porous transport layer by using the entropy weight method, and the evaluation results have high application value and reliability.
[0065] The present invention uses the entropy weight method to calculate directly based on the sample data itself. First, it can make full use of the information in the data and avoid the uncertainty brought by subjective assignment. Second, the entropy weight method can not only consider the correlation between evaluation indicators, but also take into account the differences between indicators when considering multiple indicators simultaneously, which makes the evaluation results more accurate and detailed. Therefore, using the entropy weight method to evaluate the comprehensive performance of the porous transport layer for water electrolysis hydrogen production has the advantages of objectivity, comprehensiveness, applicability, easy understanding and implementation, and improving the accuracy and reliability of the evaluation results.
[0066] Example 1
[0067] Step 1: The number m of evaluation samples of the porous transport layer for water electrolysis hydrogen production is 3, and the number of evaluation indicators is 8. An evaluation index matrix is constructed.
[0068]
[0069] The index data of three kinds of porous transport layers for water electrolysis hydrogen production are shown in Table 1.
[0070] Table 1 Index data of three kinds of porous transport layers for water electrolysis hydrogen production
[0071]
[0072] Step 2: Divide the above index data into positive indicators and negative indicators, and use the standardization formula to convert the index data into standardized index data. The standardized index data of three kinds of porous transport layers for water electrolysis hydrogen production are shown in Table 2.
[0073] Table 2 Standardized index data of three kinds of porous transport layers for water electrolysis hydrogen production
[0074]
[0075] Step 3: The index proportion P of three kinds of porous transport layers for water electrolysis hydrogen production ij is shown in Table 3.
[0076] Table 3 Index proportion P of three kinds of porous transport layers for water electrolysis hydrogen production ij
[0077]
[0078] Step 4: The entropy value E of each index of three kinds of porous transport layers for water electrolysis hydrogen production j is shown in Table 4.
[0079] Table 4 Index entropy value E of three kinds of porous transport layers for water electrolysis hydrogen production j
[0080]
[0081] Step 5. Weights W of various indicators of three porous transport layers for water electrolysis hydrogen production j As shown in Table 5
[0082] Table 5 Weights W of indicators of three porous transport layers for water electrolysis hydrogen production j
[0083]
[0084] Step 6. Comprehensive performance evaluation values S of three porous transport layers for water electrolysis hydrogen production i As shown in Table 6
[0085] Table 6 Comprehensive performance evaluation values S of three porous transport layers for water electrolysis hydrogen production i
[0086]
[0087] Step 7. Unit price C of three porous transport layers for water electrolysis hydrogen production i , cost performance value CS i and comprehensive performance evaluation value S i As shown in Table 7
[0088] Table 7 Unit price C of three porous transport layers for water electrolysis hydrogen production i , cost performance value CS i and comprehensive performance evaluation value S i
[0089]
[0090] In summary, the comprehensive performance evaluation value S i and cost performance value CS i of three different porous transport layers for water electrolysis hydrogen production calculated by the entropy weight method are: PTL1 > PTL2 > PTL3
[0091] The above is only a preferred embodiment of the present invention, and does not impose any limitation on the present invention. Any simple modification, change, and equivalent structural change made to the above embodiments according to the technical essence of the present invention still fall within the protection scope of the technical solution of the present invention
Claims
1. A method for comprehensively evaluating the performance and cost performance of a porous transport layer for hydrogen production by water electrolysis, characterized in that: The method comprises the following steps: Step 1: Performance index data of porous transport layer for hydrogen production based on water electrolysis ij , constructing an evaluation index matrix for porous transport layers for hydrogen production by water electrolysis Where i = 1, 2, ..., m represents the number of evaluation objects, j = 1, 2, ..., n represents the number of evaluation indicators, and x ij Indicates the value of the i-th evaluation object on the j-th indicator; Step 2: Standardize the indicator data according to the evaluation indicator matrix and convert the absolute value of the indicator data into a relative value; Step 3: Calculate indicator X based on standardized data j The proportion of the next i-th evaluation object in this indicator is P ij ; Step 4: Calculate the jth index X j The entropy value E j ; Step 5: Determine the weight W of each indicator by calculating information redundancy j ; Step 6: Calculate the comprehensive performance evaluation value S of each evaluation object based on the standardized data and weights of each indicator. i ; Step 7: Calculate the cost-effectiveness value CS of each evaluation object based on the comprehensive performance evaluation value and unit price of each evaluation object i .
2. The method for comprehensively evaluating the performance and cost performance of a porous transport layer for hydrogen production by water electrolysis according to claim 1, characterized in that: In step 1, the performance index data of the porous transport layer for water electrolysis hydrogen production include intrinsic performance index, mechanical performance index, electrical performance index, and durability performance index; The intrinsic performance indicators include the porosity, thickness, surface roughness and permeability of the porous transport layer for water electrolysis hydrogen production; The mechanical performance indicators include the tensile strength and bending modulus of the porous transport layer for water electrolysis hydrogen production; The electrical performance index includes the conductivity of the porous transport layer for water electrolysis hydrogen production; The durability performance index includes the corrosion current density of the porous transport layer for water electrolysis hydrogen production.
3. The method for comprehensively evaluating the performance and cost performance of a porous transport layer for hydrogen production by water electrolysis according to claim 1, characterized in that: In step 2, each indicator data is divided into positive indicators and negative indicators, and the indicator data is converted into standardized indicator data using a standardized formula. The calculation formula is as follows: Positive indicators: Negative indicators: Among them, x ij is the original value of the jth indicator of the i-th evaluation object, y ij is the normalized value of the jth indicator of the i-th evaluation object, X j is the set of all sample values of the j-th indicator.
4. A method for comprehensively evaluating the performance and cost performance of a porous transport layer for hydrogen production by water electrolysis according to claim 3, characterized in that: In step 3, based on the standardized indicator data obtained in step 2, the indicator X is calculated. j The proportion of the next i-th evaluation object in this indicator is P ij , the calculation formula is as follows: Wherein, i=1,2,…,m represents the number of evaluation objects.
5. A comprehensive evaluation method for performance and cost performance of a porous transport layer for hydrogen production by water electrolysis according to claim 4, characterized in that: In step 4, based on the weight of the indicators obtained in step 3, the jth indicator X is calculated. j The entropy value E j , the calculation formula is as follows: Where i = 1, 2, ..., m represents the number of evaluation objects, P ij For indicator X j The proportion of the next i-th porous transmission layer in this index, when P ij When P is 0, ij ln(P ij )=0.
6. A method for comprehensively evaluating the performance and cost performance of a porous transport layer for hydrogen production by water electrolysis according to claim 5, characterized in that: In step 5, the weights of each indicator W j The calculation formula is as follows: Among them, j = 1, 2, ..., n represents the number of evaluation indicators, E j is the jth index X j The entropy value of .
7. The method for comprehensive evaluation of performance and cost performance of a porous transport layer for hydrogen production by water electrolysis according to claim 1, characterized in that: In step 6, the comprehensive performance evaluation value S of each evaluation object i The calculation formula is as follows: Where j = 1, 2, ..., n represents the number of evaluation indicators, W j is the weight of each indicator; ij is the normalized value of the jth indicator of the i-th sample.
8. The method for comprehensive evaluation of performance and cost performance of a porous transport layer for hydrogen production by water electrolysis according to claim 1, characterized in that: In step 7, the cost-effectiveness value CS of the evaluation object i The calculation formula is as follows: Among them, S i is the comprehensive performance evaluation value of each evaluation object, C i The unit price corresponding to each evaluation object.
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