CN109242316A - Hydraulic system energy efficiency evaluating method based on Fuzzy AHP - Google Patents

Hydraulic system energy efficiency evaluating method based on Fuzzy AHP Download PDF

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CN109242316A
CN109242316A CN201811068248.6A CN201811068248A CN109242316A CN 109242316 A CN109242316 A CN 109242316A CN 201811068248 A CN201811068248 A CN 201811068248A CN 109242316 A CN109242316 A CN 109242316A
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尚耀星
焦灵芝
吴帅
焦宗夏
于波
唐哲文
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Beihang University
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Abstract

Present disclose provides a kind of hydraulic system energy efficiency evaluating method based on Fuzzy AHP, comprising the following steps: according to the design feature of hydraulic system and influence the index of hydraulic system efficiency, establish Fuzzy AHP hierarchical model；The judgment criterion for establishing triangle fuzzy consistent judgment matrix obtains the Triangular Fuzzy Number after index compares two-by-two, to construct triangle fuzzy consistent judgment matrix by triangle ambiguity function according to the judgment criterion and fuzzy language；Ambiguity solution is carried out to triangle fuzzy consistent judgment matrix, obtains the relative weighting of each index；The relative weight value of index is normalized, the final weight of each index is obtained.

Description

Hydraulic system energy efficiency evaluating method based on Fuzzy AHP
Technical field
This disclosure relates to a kind of hydraulic system energy efficiency evaluating method based on Fuzzy AHP.
Background technique
Hydraulic system is as mechanical energy power device, and since power density is big, speed is fast, and rigidity is high, therefore is widely applied In aviation field.Hydraulic system has become very important large scale system in modern aircraft.It is mainly used for the lifting of undercarriage, The auxiliary control and flight control of rudder face and wheel braking and front-wheel steer.
Since 21 century, with electronic technology, the development and application of electrical technology and Theory of Automatic Control, aircraft, spy It is not military aircraft, to hydraulic system, more stringent requirements are proposed.In this case, hydraulic technique is in conventional hydraulic On the basis of rapidly develop.Traditional single hydraulic unit driver has pushed the hair of electromechanical integration by using motor energy Exhibition.In order to mitigate the weight of hydraulic system and the size of plane hydraulic system, hydraulic system uses strong design.With aircraft The raising of performance, hydraulic system support more power, need to be driven faster.With the increase of hydraulic system complexity, how The working performance for scientifically and rationally evaluating hydraulic system becomes more and more important.After consulting pertinent literature, discovery is right both at home and abroad The research in the field is still immature.
Analytic hierarchy process (AHP) (AHP) is a kind of commonly assessment and analysis method.AHP will affect the factor level row of system Cloth, calculates weight distribution between the factors at different levels by establishing judgment matrix, obtains each side finally by level weight synthesis The assessed value of case.But when there are many several factors involved in the object to be assessed or object, AHP becomes more dull, Sometimes it does not work at all even yet.In addition, the analysis result of AHP and the selection of judgment matrix have biggish relationship.Because sentencing The selection of disconnected matrix has certain randomness.Moreover, during the importance of more each element, it is difficult to meet thinking Consistency.Fuzzy evaluation expresses the Fog property of existing thing using mathematical function.This method can be used for including a large amount of right As the comprehensive assessment with bulk information, knowledge information can be more utilized, and meets the consistency of thinking to a certain extent. But classification speed is relatively slow.In this case, Fuzzy AHP (FAHP) combines fuzzy evaluation and step analysis Method will well solve the above problem.
Summary of the invention
In order to solve at least one above-mentioned technical problem, the present disclosure proposes a kind of based on the hydraulic of Fuzzy AHP System energy efficiency appraisal procedure.
According to one aspect of the disclosure, the hydraulic system energy efficiency evaluating method based on Fuzzy AHP includes following Step:
According to the index of the design feature of hydraulic system and influence hydraulic system efficiency, establishes Fuzzy AHP and pass rank Model；
The judgment criterion for establishing triangle fuzzy consistent judgment matrix passes through triangle according to the judgment criterion and fuzzy language Ambiguity function obtains the Triangular Fuzzy Number after index compares two-by-two, to construct triangle fuzzy consistent judgment matrix；
Ambiguity solution is carried out to triangle fuzzy consistent judgment matrix, obtains the relative weighting of each index；
The relative weight value of index is normalized, the final weight of each index is obtained；
Based on the final weight of the index, optimal case is obtained.
According at least one embodiment of the disclosure, if the fuzzy number on domain R is M, if the subordinating degree function μ of MMMake R → [0,1] is obtained, following formula is expressed as:
Then claim μMIt (x) is triangle ambiguity function, M is Triangular Fuzzy Number；Wherein M is expressed as (l, m, u), and l and u are respectively indicated Fuzzy infimum and supremum, the intermediate value that the degree of membership that m is M is 1, as x=m, x fully belongs to M.
According at least one embodiment of the disclosure, the judgment criterion of fuzzy consistent judgment matrix are as follows:
Relative weighting is M1, and comparison scale isWhen, indicate of equal importance between the two indices to compare；
Relative weighting is M3, and comparison scale isWhen, indicate that than second index of compare first index is slightly heavy It wants；
Relative weighting is M5, and comparison scale isWhen, indicate that than second index of compare first index is important；
Relative weighting is M7, and comparison scale isWhen, indicate that than second index of compare first index obviously weighs It wants；
Relative weighting is M9, and comparison scale isWhen, indicate that than second index of compare first index is very heavy It wants；
Relative weighting is M2, M4, M6, M8, and comparison scale isWhen, indicate first index than second The importance of a index is in intermediate state.
According at least one embodiment of the disclosure, Fuzzy AHP hierarchical model includes:
Including using efficiency as the destination layer of general objective；
The finger of index including reliability, weight, power, cost, maintainability and 6 kinds of maturity influence hydraulic system efficiencies Mark layer；And
Including 3H 21MPA, 3H 35MPA, five kinds of model hydraulic systems of 2H1E, 2H2E and 4E solution layer.
According at least one embodiment of the disclosure, the method packet of ambiguity solution is carried out to triangle fuzzy consistent judgment matrix It includes:
M1 (l1, m1, u1) and M2 (l2, m2, u2) is Triangular Fuzzy Number, and the possibility degree of M1 >=M2 is fixed with triangle ambiguity function Justice is following formula:
One Triangular Fuzzy Number is greater than the possibility degree of other n Triangular Fuzzy Numbers, is defined as following formula:
V(M≥M1,...,Mn)=minV (M >=Mi), i=1 ..., n；
Use dcj=minV (Dc1≥Dc2,Dc3,Dc4,Dc5,Dc6), j=1,2 ..., 6, after indicating to index cj ambiguity solution Relative weighting, wherein Dc1、Dc2、Dc3、Dc4、Dc5、Dc6Respectively indicate the initial weight of index c1, c2, c3, c4, c5, c6.
According at least one embodiment of the disclosure, the relative weight value of index is normalized, is obtained by following formula Take the final weight of each index:
Wherein, VcjIndicate the final weight of index cj, dc1、dc2、dc3、dc4、dc5、dc6Index c1, c2, c3 are respectively indicated, Relative weighting after c4, c5, c6 ambiguity solution.
According at least one embodiment of the disclosure, above-mentioned energy efficiency evaluating method further include:
Using the efficiency of analytic hierarchy process (AHP) assessment hydraulic system, and by its evaluation process and using Fuzzy AHP Evaluation process is compared.
According at least one embodiment of the disclosure, using the efficiency of analytic hierarchy process (AHP) assessment hydraulic system, including with Lower step:
According to the index of the design feature of hydraulic system and influence hydraulic system efficiency, establishes analytic hierarchy process (AHP) and pass rank mould Type；
Index is compared two-by-two, the judgment matrix of indicator layer where constructing it；
Judgment matrix characteristic value and feature vector are solved, the relative weighting of index is obtained；
In the solution layer of analytic hierarchy process (AHP) hierarchical model, use expert analysis mode as the weight distribution of each scheme；
Priority weight of each scheme to each index of indicator layer of solution layer is solved, and solves each of indicator layer A index passs each scheme of rank merger solution layer to total by the method for weighted sum to the priority weight of the general objective of destination layer The final weight of target, the corresponding scheme of final weight the maximum are optimal case.
According at least one embodiment of the disclosure, analytic hierarchy process (AHP) hierarchical model and Fuzzy AHP pass rank mould Type is identical.
According at least one embodiment of the disclosure, before solving judgment matrix characteristic value and feature vector, to judgement Matrix carries out consistency check, when being unsatisfactory for consistency check, corresponding element in judgment matrix is adjusted, until judgment matrix Meet consistency check.
Detailed description of the invention
Attached drawing shows the illustrative embodiments of the disclosure, and it is bright together for explaining the principles of this disclosure, Which includes these attached drawings to provide further understanding of the disclosure, and attached drawing is included in the description and constitutes this Part of specification.
Fig. 1 is the hydraulic system energy efficiency evaluation hierarchical model according at least one embodiment of the disclosure.
Specific embodiment
The disclosure is described in further detail with embodiment with reference to the accompanying drawing.It is understood that this place The specific embodiment of description is only used for explaining related content, rather than the restriction to the disclosure.It also should be noted that being Convenient for description, part relevant to the disclosure is illustrated only in attached drawing.
It should be noted that in the absence of conflict, the feature in embodiment and embodiment in the disclosure can To be combined with each other.The disclosure is described in detail below with reference to the accompanying drawings and in conjunction with embodiment.
In an optional embodiment of the disclosure, efficiency is carried out to hydraulic system using Fuzzy AHP and is commented Estimate, comprising the following steps:
1) establish Recurison order hierarchy model: according to the design feature of hydraulic system and influence hydraulic system efficiency it is effective because Element establishes Fuzzy AHP hierarchical model as shown in Figure 1.
Fuzzy AHP hierarchical model includes destination layer, indicator layer and solution layer.
Destination layer element includes efficiency, and efficiency is general objective.
Indicator layer element includes 6 kinds of reliability, weight, power, cost, maintainability and maturity influence hydraulic system efficiencies Index.
Solution layer element includes the hydraulic system of five kinds of models: 3H 21MPA, 3H 35MPA, 2H1E, 2H2E and 4E.
2) it constructs triangle fuzzy consistent judgment matrix: initially setting up the judgment criterion of triangle fuzzy consistent judgment matrix, root It is fuzzy to be obtained by triangle ambiguity function for the triangle after 6 kinds of indexs compare two-by-two according to the fuzzy language of the judgment criterion and expert Number, to construct triangle fuzzy consistent judgment matrix.
Specifically, the judgment criterion of triangle fuzzy consistent judgment matrix is as shown in table 1 below:
The judgment criterion of 1 triangle fuzzy consistent judgment matrix of table
Note: in table 1, " intermediate state " refers to: when relative weighting is M2, comparison scale isWhen, indicate the important journey of A ratio B Between degree is important between no less important and slightly；When relative weighting is M4, comparison scale isWhen, indicate the significance level of A ratio B Between it is slightly important with it is important between；Similarly M6 and M8.
If the fuzzy number on domain R is M, if the subordinating degree function μ of MMSo that R → [0,1], is expressed as following formula 1:
Then claim μMIt (x) is triangle ambiguity function, M is Triangular Fuzzy Number；Wherein M is expressed as (l, m, u), and l and u are respectively indicated Fuzzy infimum and supremum, the intermediate value that the degree of membership that m is M is 1, as x=m, x fully belongs to M.
According to the fuzzy language of the judgment criterion of table 1 and expert, the Triangle Module after 6 kinds of indexs of indicator layer compare two-by-two is obtained Paste number.Thus the triangle fuzzy consistent judgment matrix constituted represents the relative importance degree of indicator layer each element.
3) ambiguity solution is carried out to triangle fuzzy consistent judgment matrix, and then obtains the relative weighting of each index.
The method for carrying out ambiguity solution to above-mentioned triangle fuzzy consistent judgment matrix is as follows:
M1 (l1, m1, u1) and M2 (l2, m2, u2) is Triangular Fuzzy Number, and the possibility degree of M1 >=M2 can obscure letter with triangle Number is defined as following formula 2:
One Triangular Fuzzy Number is greater than the possibility degree of other n Triangular Fuzzy Numbers, can be defined as following formula 3:
V(M≥M1,...,Mn)=minV (M >=Mi), i=1 ..., n formula 3
Use dcj=minV (Dc1≥Dc2,Dc3,Dc4,Dc5,Dc6), j=1,2 ..., 6, after indicating to index cj ambiguity solution Relative weighting, wherein Dc1、Dc2、Dc3、Dc4、Dc5、Dc6Respectively indicate the initial weight of index c1, c2, c3, c4, c5, c6.
4) relative weight value after all index ambiguity solutions is normalized, and then obtains the final power of each index Weight.
Specifically, obtaining the final weight of 6 kinds of indexs by following formula 4:
Wherein, VcjIndicate the final weight of index cj, dc1、dc2、dc3、dc4、dc5、dc6Respectively indicate 6 kinds of indexs, i.e. index Relative weighting after c1, c2, c3, c4, c5, c6 ambiguity solution.
5) final weight based on each index obtains optimal case.
Choose the optimal case that the corresponding scheme of final weight maximum value is selected as this.
In an optional embodiment of the disclosure, in order to confirm Fuzzy AHP in hydraulic system energy efficiency evaluation On validity, by analytic hierarchy process (AHP) assess 6 kinds of hydraulic system efficiencies, and by its evaluation process with use Fuzzy Level Analytic Approach The evaluation process of method is compared.
Analytic hierarchy process (AHP) is by general objective, each straton target, interpretational criteria by decision problem until specific standby throwing scheme Sequential breakdown be different hierarchical structures, then with solve judgment matrix feature vector method, acquire each of each level Element finally passs each alternative of rank merger to general objective with the method for weighted sum again to the priority weight of upper level element Final weight, final weight the maximum is optimal case.The characteristics of this method is to make decision using less quantitative information Thought process more mathematicization, functionization and systematization, simplification etc..
Hydraulic system efficiency evaluation is carried out using analytic hierarchy process (AHP), it is necessary first to establish Recurison order hierarchy model.Step analysis Method hierarchical model is identical as above-mentioned Fuzzy AHP hierarchical model, and and will not be described here in detail.
Then, 6 kinds of indexs in analytic hierarchy process (AHP) hierarchical model are compared two-by-two, indicator layer sentences where constructing it Disconnected matrix.Comparison criterion between Index element is as shown in table 2 below:
2 analytic hierarchy process (AHP) hierarchical model indicator layer element of table comparison criterion two-by-two
After obtaining judgment matrix, consistency check first is carried out to judgment matrix.Consistency check refers to: as Index element μiWith μjIt compares, importance proportion quotiety is K1, and μjWith μkIt compares, importance proportion quotiety is K2, if it is considered to μiWith μkCompared to weight Wanting sex ratio scale is k1xk2, then μi, μj, μkMeet consistency check.
When all Index elements of judgment matrix are all satisfied consistency check, then judgment matrix meets consistency check. In the case where being unsatisfactory for consistency check, need to adjust the respective element of judgment matrix, until judgment matrix meets consistency Until inspection.
Then, the characteristic value and feature vector for solving judgment matrix, obtain the relative weighting of 6 kinds of indexs.
In the solution layer of analytic hierarchy process (AHP) hierarchical model, use expert analysis mode as the weight distribution of each scheme, it is as follows Shown in table 3:
3 solution layer expert estimation table of table
Priority weight of each element to upper level element of each level is found out, that is, solves each scheme of solution layer To the priority weight of each index of indicator layer, and each index of indicator layer is solved to the preferential of the general objective of destination layer Weight, then each scheme of rank merger is passed to the final weight of general objective by the method for weighted sum, and final weight the maximum pair The scheme answered is optimal case.
By comparing above two appraisal procedure, the analysis result of analytic hierarchy process (AHP) and the choice relation of judgment matrix are found It is bigger, but judgment matrix has very strong subjectivity, and most of the time two-by-two the fiducial value of element be it is fuzzy, this meet from The objective attribute of right things.Furthermore when judgment matrix is inconsistent, need to adjust the element value of judgment matrix repeatedly, however not excluded that warp Cross adjust, check repeatedly, adjustment and check, the case where judgment matrix is not able to satisfy consistency still.Moreover, it is judged that matrix is random Consistency ratio (CR) is an empirical value, whether meets consistency for test and judge matrix, it does not have scientific basis.Mould Paste layer fractional analysis improves AHP Model, and fuzzy mathematics is introduced analytic hierarchy process (AHP).The base of Fuzzy AHP This thought and step and analytic hierarchy process (AHP) are essentially identical, but there are following two points differences: 1) foundation of judgment matrix is different: Consistent judgment matrix is established by comparing element in analytic hierarchy process (AHP)；And Fuzzy AHP is established by fuzzy language Fuzzy consistent judgment matrix；2) in Fuzzy AHP, it is opposite that each element in fuzzy matrix can differently be found The weight of importance.The analytic hierarchy process (AHP) of energy efficiency evaluation process by comparing Fuzzy AHP and to(for) hydraulic system, hair Existing Fuzzy AHP can more effectively utilize existing information, eliminate the mistake for adjusting judgment matrix in evaluation process repeatedly Journey, so that the differentiation of scheme becomes apparent.
It will be understood by those of skill in the art that above embodiment is used for the purpose of clearly demonstrating the disclosure, and simultaneously Non- be defined to the scope of the present disclosure.For those skilled in the art, may be used also on the basis of disclosed above To make other variations or modification, and these variations or modification are still in the scope of the present disclosure.

Claims (10)

1. a kind of hydraulic system energy efficiency evaluating method based on Fuzzy AHP, which comprises the following steps:
According to the index of the design feature of hydraulic system and influence hydraulic system efficiency, establishes Fuzzy AHP and pass rank mould Type；
The judgment criterion for establishing triangle fuzzy consistent judgment matrix passes through Triangle Module according to the judgment criterion and fuzzy language Function is pasted, the Triangular Fuzzy Number after the index compares two-by-two is obtained, to construct triangle fuzzy consistent judgment matrix；
Ambiguity solution is carried out to the triangle fuzzy consistent judgment matrix, obtains the relative weighting of each index；
The relative weight value of the index is normalized, the final weight of each index is obtained；
Based on the final weight of the index, optimal case is obtained.
2. energy efficiency evaluating method according to claim 1, which is characterized in that the fuzzy number on domain R is set as M, if the person in servitude of M Category degree function muMSo that R → [0,1], is expressed as following formula:
Then claim μMIt (x) is the triangle ambiguity function, M is the Triangular Fuzzy Number；Wherein M is expressed as (l, m, u), l and u difference Indicate fuzzy infimum and supremum, the intermediate value that the degree of membership that m is M is 1, as x=m, x fully belongs to M.
3. energy efficiency evaluating method according to claim 1 or 2, which is characterized in that the fuzzy consistent judgment matrix is sentenced Disconnected criterion are as follows:
Relative weighting is M1, and comparison scale isWhen, indicate of equal importance between the two indices to compare；
Relative weighting is M3, and comparison scale isWhen, indicate that than second index of compare first index is slightly important；
Relative weighting is M5, and comparison scale isWhen, indicate that than second index of compare first index is important；
Relative weighting is M7, and comparison scale isWhen, indicate that than second index of compare first index is obviously important；
Relative weighting is M9, and comparison scale isWhen, indicate that than second index of compare first index is extremely important；
Relative weighting is M2, M4, M6, M8, and comparison scale isWhen, indicate that first index refers to than second Target importance is in intermediate state.
4. energy efficiency evaluating method according to claim 3, which is characterized in that the Fuzzy AHP hierarchical model packet It includes:
Including using efficiency as the destination layer of general objective；
The index of index including reliability, weight, power, cost, maintainability and 6 kinds of maturity influence hydraulic system efficiencies Layer；And
Including 3H 21MPA, 3H 35MPA, five kinds of model hydraulic systems of 2H1E, 2H2E and 4E solution layer.
5. energy efficiency evaluating method according to claim 2, which is characterized in that the triangle fuzzy consistent judgment matrix into The method of row ambiguity solution includes:
M1 (l1, m1, u1) and M2 (l2, m2, u2) is Triangular Fuzzy Number, and the possibility degree of M1 >=M2 is defined as with triangle ambiguity function Following formula:
One Triangular Fuzzy Number is greater than the possibility degree of other n Triangular Fuzzy Numbers, is defined as following formula:
V(M≥M1,...,Mn)=minV (M >=Mi), i=1 ..., n；
Use dcj=minV (Dc1≥Dc2,Dc3,Dc4,Dc5,Dc6), j=1,2 ..., 6 is indicated to opposite after index cj ambiguity solution Weight, wherein Dc1、Dc2、Dc3、Dc4、Dc5、Dc6Respectively indicate the initial weight of index c1, c2, c3, c4, c5, c6.
6. energy efficiency evaluating method according to claim 5, which is characterized in that return the relative weight value of the index One changes, and the final weight of each index is obtained by following formula:
Wherein, VcjIndicate the final weight of index cj, dc1、dc2、dc3、dc4、dc5、dc6Index c1, c2, c3, c4 are respectively indicated, Relative weighting after c5, c6 ambiguity solution.
7. energy efficiency evaluating method according to claim 1, which is characterized in that further include:
The efficiency of the hydraulic system is assessed using analytic hierarchy process (AHP), and by its evaluation process and uses the Fuzzy Level Analytic Approach The evaluation process of method is compared.
8. energy efficiency evaluating method according to claim 7, which is characterized in that assess the hydraulic pressure system using analytic hierarchy process (AHP) The efficiency of system, comprising the following steps:
According to the index of the design feature of hydraulic system and influence hydraulic system efficiency, analytic hierarchy process (AHP) hierarchical model is established；
The index is compared two-by-two, the judgment matrix of indicator layer where constructing it；
The judgment matrix characteristic value and feature vector are solved, the relative weighting of the index is obtained；
In the solution layer of the analytic hierarchy process (AHP) hierarchical model, use expert analysis mode as the weight distribution of each scheme；
Each scheme of the solution layer is solved to the priority weight of each index of the indicator layer, and solves the finger Each index of mark layer passs solution layer described in rank merger by the method for weighted sum to the priority weight of the general objective of destination layer For each scheme to the final weight of the general objective, the corresponding scheme of final weight the maximum is optimal case.
9. energy efficiency evaluating method according to claim 8, which is characterized in that
The analytic hierarchy process (AHP) hierarchical model is identical as the Fuzzy AHP hierarchical model.
10. -9 described in any item energy efficiency evaluating methods according to claim 1, which is characterized in that it is special to solve the judgment matrix Before value indicative and feature vector, consistency check is carried out to the judgment matrix, when being unsatisfactory for consistency check, described in adjustment Corresponding element in judgment matrix, until the judgment matrix meets consistency check.
CN201811068248.6A 2018-09-13 2018-09-13 Hydraulic system energy efficiency evaluating method based on Fuzzy AHP Pending CN109242316A (en)

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CN110276536A (en) * 2019-06-11 2019-09-24 安徽理工大学 The power distribution network shaft tower security assessment method of exponential type de-fuzzy analytic hierarchy process (AHP)
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CN113688458B (en) * 2021-08-30 2023-01-24 中国十七冶集团有限公司 Foundation scheme optimization method based on analytic hierarchy process
CN113742194A (en) * 2021-09-17 2021-12-03 北京航空航天大学 Block chain system environment three-dimensional scoring method based on analytic hierarchy process

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Application publication date: 20190118