CN104933522A - Weight calculation method of evaluation index of novel urban electric vehicle charging station system - Google Patents
Weight calculation method of evaluation index of novel urban electric vehicle charging station system Download PDFInfo
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Abstract
The invention relates to a weight calculation method of an evaluation index of a novel urban electric vehicle charging station system. Economy, technicality and applicability are comprehensively considered to construct an evaluation index system which aims at the electric vehicle charging station system, and the evaluation index system specifically comprises four indexes including a technical performance evaluation index, an economy evaluation index, an environment evaluation index and a security evaluation index. A reasonable judgment matrix is constructed for each index by an uncertain analytic hierarchy process, an interval number logarithmic least square method is applied to obtain an index weight interval similar to a practical situation, and then, a median is taken and normalized to obtain a final weight coefficient of each evaluation index. The weight calculation method has a certain reference meaning on the comprehensive evaluation of different electric vehicle charging station systems.
Description
Technical field
The present invention relates to city electric motorcar charging station and evaluate field, especially relate to a kind of weighing computation method that can be used for the evaluation index of city charging station system for electric vehicle.
Background technology
Climate change, the energy and environmental problem be human society common faced by long-standing problem.Along with this non-renewable energy resources of oil face exhaustion, the global air temperature warming that the excess emissions of greenhouse gases causes, orthodox car industrial sector needs structure updating badly, realizes the strategic transformation of power system motorized.Electric automobile is as the vehicles of new generation, and can realize the requirement such as " zero-emission ", low noise, be the important means solving the energy and environmental issue at present.
The supporting electrically-charging equipment construction of electric automobile is one of relevant information of paying close attention to the most of the current common people, and the supporting electrically-charging equipment construction of electric automobile can promote the popularity of electric automobile.Whether to provide convenience charging service efficiently for user, have profound influence to the development of electric automobile.The electric automobile charging station construction of current China is still in the junior stage, and along with the progressively formation of China's charging station network, standardization and the standardization issue of charging equipment of electric automobile management become increasingly conspicuous, but also fewer for the comprehensive evaluation of charging station system.Therefore, for better building charging station well, just need a set of effective System of Comprehensive Evaluation.
Analytical hierarchy process (AHP) is the criteria decision-making method that a kind of quantification and qualification combines, and this method builds a hierarchy Model after analysing in depth the influence factor of complicated decision-making problems and internal relation etc.Application level analytic approach is each ingredient of element the PROBLEM DECOMPOSITION of complexity, and form different levels by the mutual relationship of element and membership thereof, the element of same level plays dominating role as the element of criterion to next level, and it is subject to again the domination of last layer minor element simultaneously.Application level analytic approach key is to construct rational judgment matrix, to obtain the index weights close with reality.
In traditional AHP, expert compares to two two indexes the importance drawn and can only express by the numeral of between 1/9 and 9, but in practical problems, this is obviously unfavorable.Owing to usually there is uncertainty in the specificity analysis of complexity or decision-making, if expert represents the judgement made the relative importance of two factors with interval number, such judgment matrix is then called uncertain judgment matrix, and this analytical approach is uncertain hierarchy analysis.
Summary of the invention
The present invention is based on practical application and theoretical optimization two aspects, consider the assessment indicator system that the technical characteristic of electric motorcar charging station, economic performance, environmental protection characteristic and security feature build charging station system for electric vehicle, propose a kind of weighing computation method of evaluation index of new city charging station system for electric vehicle, concrete steps are as follows:
(1): the overall evaluation system building charging station system for electric vehicle, as shown in Figure 2;
Consider the ruuning situation of electric motorcar charging station, first class index and two-level index is set up from technical, economy, Environmental, security aspect, build the overall evaluation system of charging station system, described first class index is technical feature evaluation index, economic evaluation index, environmental evaluation index and safety index evaluation;
Described technical feature evaluation index comprises voltage output error, electric current output error, pressure limiting characteristic, cut-off current characteristics, ripple factor and mean time between failures;
Described safety evaluation index comprises insulating property, degree of protection and safety warning;
Described economic evaluation index comprises the retired cost of disposal when operation cost after charging station construction cost in earlier stage, construction and charging station forfeiture effect;
Described environmental evaluation index comprises noise pollution and harmonic pollution;
(2): introduce uncertain hierarchy analysis and build rational interval judgment matrix, and consistance judgement is carried out to interval judgment matrix;
In traditional analytical hierarchy process, expert is that criterion compares between two to each index of same level by last layer time index, constructs judgment matrix.But compare to two two indexes the importance drawn to express by the numeral of between 1/9 and 9 (adopting conventional " 1-9 scaling law "), and in practical problems, this is obviously unfavorable.In the present invention, in order to react ambiguity and the uncertainty of things better, have employed uncertain hierarchy analysis, each element in uncertain hierarchy analysis judgment matrix is an interval number.Assuming that certain one deck index take C as criterion, and C is to next level index
have dominance relation, our object is given by their relative importances for criterion C
corresponding weight.
Therefore, according to " 1-9 " scale table, assignment is carried out to the importance degree of element i and j, use
represent the ratio of element i and the importance degree of element j, then
Work as i, when j two element is of equal importance,
value is 1;
When i element is slightly more important than j element,
value is 3;
When i element more obvious than j element important time,
value is 5;
When i element stronger than j element important time,
value is 7;
When i element is extremely more important than j element,
value is 9;
When i element is slightly more inessential than j element,
value is 1/3;
When i element more obvious than j element inessential time,
value is 1/5;
When i element stronger than j element inessential time,
value is 1/7;
When i element is extremely more inessential than j element,
value is 1/9;
When the importance of i element and j element is between above-mentioned two adjacent judgements,
value is 1/8,1/6,1/4,1/2 and 2,4,6,8; .
The implication of scale that table 1 lists " 1-9 ".
Table 1 " 1-9 " scale table and implication thereof
Sequence number | Element i compares with j relative importance | Assignment |
1 | I, j two elements are of equal importance | 1 |
2 | I element is slightly more important than j element | 3 |
3 | I element is obviously more important than j element | 5 |
4 | I element is strongly more important than j element | 7 |
5 | I element is extremely more important than j element | 9 |
6 | I element is slightly more inessential than j element | 1/3 |
7 | I element is obviously more inessential than j element | 1/5 |
8 | I element is strongly more inessential than j element | 1/7 |
9 | I element is extremely more inessential than j element | 1/9 |
10 | I element and j element are between above-mentioned two adjacent judgements | 1/8,1/6,1/4,1/2 and 2,4,6,8 |
Like this to criterion C, n is constituted a multilevel iudge matrix between two by Comparative indices, the upper triangle element of judgment matrix and lower triangle element have symmetric relation reciprocal, the data of Uncertain Judgement Matrix are larger again simultaneously, simple and clear in order to express, generally only give expression to the upper triangle element of matrix.Gained interval judgment matrix form is as following table 2:
Table 2: about the uncertain AHP judgment matrix of criterion C
C | ||||
Suppose m position expert to participate in scoring, appoint and get two factor of judgment, allow every expert factor of judgment independently
with
relative importance, according to conventional " 1-9 scale table " and provide judge interval, if there is expert couple
with
the judgement contradiction made of relative importance, need to solve through consultation; Suppose that the judgement interval range that a kth expert draws is:
, wherein
for evaluation result upper lower limit value and
;
Get
,
,
; Finally obtain triangle interval judgment matrix:
Interval judgment matrix can be obtained like this;
This matrix meets 3 conditions:
1):
, and
.
2):
。
3):
(3) interval number logarithmic least square priority method is utilized to calculate the weight vectors interval of each index;
(3.1): establish
,
, utilize interval number logarithmic least square priority method (ILLSM) to solve the weight sector of judgment matrix, its prerequisite is judgment matrix
must be consistent interval number matrix;
Namely when
during for consistent interval number matrix, its right main characteristic vector (normalized right proper vector)
for the weight vectors of judgment matrix, and meet
.In formula, k, m are weight vectors Interval,
be respectively
,
right main characteristic vector.
Therefore,
the matrix that a consistency matrix obtains by microvariations can be regarded as, namely
,
Wherein
forcing function, when
when being tending towards 1, reaching unanimity property of judgment matrix A matrix.Taken the logarithm in above formula both sides, obtain
namely when
when being tending towards 0, reaching unanimity property of judgment matrix A matrix.
Therefore, minimization function can be constructed
reach
be tending towards the object of 1, by above formula pair
get local derviation, and make
, obtain normalized weight vector through abbreviation
, wherein
。
Right respectively
,
normalized weight vector is tried to achieve with said method
and
,
Wherein:
(3.2): when after reaching unanimity property of judgment matrix A matrix, its weight vectors Interval k, m meet formula
.Consider
expression formula and the symmetry of weight vectors left and right end points, weight vectors Interval can be got
.Then weight vectors interval is:
.
(4): the final weight determining each evaluation index.
(4.1): in the hope of the mean value in weight vectors interval as the weighted value of each evaluation index, namely
.
(4.2): by required weighted value normalization, the final weighted value of each evaluation index is obtained
.
Beneficial effect of the present invention is: integrated use uncertain hierarchy analysis is evaluated the charging station system evaluation index built, and not only meets the subjective feeling of people but also can express uncertainty and the ambiguity of subjective assessment information.Use interval number least square method to obtain each index weights interval, make comprehensive evaluation result reflect charging station system evaluation index whether practical requirement more intuitively, improve the credibility of evaluation result.The comprehensive evaluation of the present invention to different charging station system for electric vehicle has certain reference significance.
Accompanying drawing explanation
Fig. 1 is the process flow diagram of charging station system evaluation criterion weight coefficient calculations.
Fig. 2 is the evaluation index block diagram of charging station system.
Embodiment
Below in conjunction with embodiment and accompanying drawing, the present invention is further detailed explanation, but embodiments of the present invention are not limited thereto.
embodiment 1:describe process in detail in conjunction with the step in summary of the invention, also should relay into above-mentioned formula, and substitute into related data, obtain result.
According to each Factors Affecting Parameters, and comprehensive expert group evaluation suggestion, " 1-9 scaling law " that binding hierarchy analytic approach is conventional, according to uncertain hierarchy analysis Judgement Matricies as table 3.
Table 3: about the index judgment matrix of charging station system comprehensive evaluation A
Charging station system comprehensive evaluation A | Technical evaluation index B1 | Economic evaluation index B2 | Environmental evaluation index B3 | Safety evaluation index B4 |
Technical evaluation index B1 | [1,1] | [7/2,5] | [5, 7] | [3/2,3] |
Economic evaluation index B2 | [1/5,2/7] | [1,1] | [2,3] | [1/5,1/3] |
Environmental evaluation index B3 | [1/7,1/5] | [1/3,1/2] | [1,1] | [1/4,1/3] |
Safety evaluation index B4 | [1/3,2/3] | [3,5] | [3,4] | [1,1] |
Drawn by above-mentioned judgment matrix A:
and
Use interval number logarithmic least square priority method according to formula in step (3.1)
,
Obtain normalized vector:
According to formula in step (3.2)
Try to achieve weight vectors Interval k=0.9124, m=1.0743.So far, each index weights interval range can be obtained:
,
,
According to formula in step (4)
The weight coefficient as 4 first class index is similar to using the mean value in each index weights interval, therefore:
.
Be normalized by required weight coefficient, 4 first class index weight coefficients are finally taken as
By reference to the accompanying drawings 2, can obtain the judgment matrix about technical evaluation index B1, its form is as following table 4:
Technical evaluation index B1 | Voltage output error C1 | Electric current output error C2 | Pressure limiting characteristic C3 | Cut-off current characteristics C4 | Ripple factor C5 | Mean down time C6 |
Voltage output error C1 | [1,1] | [1,2] | [2,3] | [3,5] | [4,5] | [5,6] |
Electric current output error C2 | [1/2,1] | [1,1] | [1,3/2] | [2,3] | [3,4] | [1,2] |
Pressure limiting characteristic C3 | [1/3,1/2] | [2/3,1] | [1,1] | [1,2] | [3,4] | [1/3,1/2] |
Cut-off current characteristics C4 | [1/5,1/3] | [1/3,1/2] | [1/2,1] | [1,1] | [3/2,3] | [1/5,1/3] |
Ripple factor C5 | [1/5,1/4] | [1/4,1/3] | [1/4,1/3] | [1/3,3/2] | [1,1] | [1/5,1/4] |
Mean down time C6 | [1/6,1/5] | [1/2,1] | [2,3] | [3,5] | [4,5] | [1,1] |
Can be drawn by above-mentioned judgment matrix B1:
Use interval number logarithmic least square priority method according to formula in step (3.1)
and
Normalized vector can be obtained
According to formula in step (3.2)
By above-mentioned matrix (B1)
+and (B1)
-middle data substitute into formula and try to achieve this level weight vector Interval k=0.8840, m=1.0574.Then when taking technical evaluation index as criterion, its lower floor 6 index weights district scopes are
;
;
;
;
;
。
According to step 4, get the interval intermediate value of each index weights and normalization obtains the weight of technical evaluation index lower floor 6 indexs, be respectively W
c1=0.3617; W
c2=0.2017; W
c3=0.1277; W
c4=0.0760; W
c5=0.0563; W
c6=0.1766.
For other 3 one-level evaluation indexes, build the judgment matrix as following table respectively.
Table 5 is about the judgment matrix of economic evaluation index B2
Economic evaluation index B2 | Construction cost C7 | Operation cost C8 | Retired cost of disposal C9 |
Construction cost C7 | [1,1] | [1,2] | [5,6] |
Operation cost C8 | [1/2,1] | [1,1] | [3,4] |
Retired cost of disposal C9 | [1/6,1/5] | [1/4,1/3] | [1,1] |
Table 6 is about the judgment matrix of environmental evaluation index B3
Environmental evaluation index B3 | Harmonic pollution C10 | Noise pollution C11 |
Harmonic pollution C10 | [1,1] | [4,5] |
Noise pollution C11 | [1/5,1/4] | [1,1] |
Table 7 is about the judgment matrix of safety evaluation index B4
Safety evaluation index B4 | Insulating property C12 | Degree of protection C13 | Safety warning C14 |
Insulating property C12 | [1,1] | [4,5] | [3,7/2] |
Degree of protection C13 | [1/5,1/4] | [1,1] | [1/3,2/3] |
Safety warning C14 | [2/7,1/3] | [3/2,3] | [1,1] |
Described two-level index, relative to the judgment matrix of first class index, because computation process is identical, omits computation process, directly comprehensive weight coefficient is inserted following table.
In sum, above-described embodiment is only exemplary embodiments of the present invention, not be used for limiting practical range of the present invention, can carry out multiple change, amendment, replacement and modification to these embodiments when not departing from principle of the present invention and aim, scope of the present invention is by claim and equivalency thereof.
Claims (1)
1. a weighing computation method for the evaluation index of new city charging station system for electric vehicle, is characterized in that concrete steps are as follows:
(1): the overall evaluation system building charging station system for electric vehicle
Consider the ruuning situation of electric motorcar charging station, first class index and two-level index is set up from technical, economy, Environmental, security aspect, build the overall evaluation system of charging station system, described first class index is technical feature evaluation index, economic evaluation index, environmental evaluation index and safety index evaluation;
Described technical feature evaluation index comprises voltage output error, electric current output error, pressure limiting characteristic, cut-off current characteristics, ripple factor and mean time between failures;
Described safety evaluation index comprises insulating property, degree of protection and safety warning;
Described economic evaluation index comprises the retired cost of disposal when operation cost after charging station construction cost in earlier stage, construction and charging station forfeiture effect;
Described environmental evaluation index comprises noise pollution and harmonic pollution;
(2): introduce uncertain hierarchy analysis and build rational interval judgment matrix, and consistance judgement is carried out to interval judgment matrix;
In order to react ambiguity and the uncertainty of things better, have employed uncertain hierarchy analysis, each element in uncertain hierarchy analysis judgment matrix is an interval number; Assuming that certain one deck index take C as criterion, and C is to next level index
there is dominance relation, give by their relative importances for criterion C
corresponding weight;
According to " 1-9 " scale table, assignment is carried out to the importance degree of element i and j, use
represent the ratio of element i and the importance degree of element j, then
Work as i, when j two element is of equal importance,
value is 1;
When i element is slightly more important than j element,
value is 3;
When i element more obvious than j element important time,
value is 5;
When i element stronger than j element important time,
value is 7;
When i element is extremely more important than j element,
value is 9;
When i element is slightly more inessential than j element,
value is 1/3;
When i element more obvious than j element inessential time,
value is 1/5;
When i element stronger than j element inessential time,
value is 1/7;
When i element is extremely more inessential than j element,
value is 1/9;
When the importance of i element and j element is between above-mentioned two adjacent judgements,
value is 1/8,1/6,1/4,1/2 and 2,4,6,8; ;
The implication of scale that table 1 lists " 1-9 ";
Table 1 " 1-9 " scale table and implication thereof
Like this to criterion C, n is constituted a multilevel iudge matrix between two by Comparative indices, the upper triangle element of judgment matrix and lower triangle element have symmetric relation reciprocal, the data of Uncertain Judgement Matrix are larger again simultaneously, simple and clear in order to express, generally only give expression to the upper triangle element of matrix; Gained interval judgment matrix form is as following table 2:
Table 2: about the uncertain AHP judgment matrix of criterion C
Suppose m position expert to participate in scoring, appoint and get two factor of judgment, allow every expert factor of judgment independently
with
relative importance, according to conventional " 1-9 scale table " and provide judge interval, if there is expert couple
with
the judgement contradiction made of relative importance, need to solve through consultation; Suppose that the judgement interval range that a kth expert draws is:
, wherein
for evaluation result upper lower limit value and
;
Get
,
,
; Finally obtain triangle interval judgment matrix:
Interval judgment matrix can be obtained like this;
This matrix meets 3 conditions:
1):
, and
;
2):
;
3):
Interval number logarithmic least square priority method is utilized to calculate the weight vectors interval of each index;
(3.1): establish
,
, utilize interval number logarithmic least square priority method (ILLSM) to solve the weight sector of judgment matrix, its prerequisite is judgment matrix
must be consistent interval number matrix;
Namely when
during for consistent interval number matrix, its right main characteristic vector (normalized right proper vector)
for the weight vectors of judgment matrix, and meet
; In formula, k, m are weight vectors Interval,
be respectively
,
right main characteristic vector;
Therefore,
the matrix that a consistency matrix obtains by microvariations can be regarded as, namely
,
Wherein
forcing function, when
when being tending towards 1, reaching unanimity property of judgment matrix A matrix; Taken the logarithm in above formula both sides, obtain
namely when
when being tending towards 0, reaching unanimity property of judgment matrix A matrix;
Therefore, minimization function is constructed
reach
be tending towards the object of 1, by above formula pair
get local derviation, and make
, obtain normalized weight vector through abbreviation
, wherein
;
Right respectively
,
normalized weight vector is tried to achieve with said method
and
,
Wherein:
(3.2): when after reaching unanimity property of judgment matrix A matrix, its weight vectors Interval k, m meet formula
; Consider
expression formula and the symmetry of weight vectors left and right end points, weight vectors Interval can be got
; Then weight vectors interval is:
;
(4): the final weight determining each evaluation index;
(4.1): in the hope of the mean value in weight vectors interval as the weighted value of each evaluation index, namely
;
(4.2): by required weighted value normalization, the final weighted value of each evaluation index is obtained
.
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CN110826907A (en) * | 2019-11-06 | 2020-02-21 | 江苏方天电力技术有限公司 | Comprehensive utilization efficiency evaluation method of combined cooling heating and power system |
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CN107341332A (en) * | 2017-03-10 | 2017-11-10 | 北京理工大学 | A kind of determination method of the evaluation criterion weight of automobile motor drive system |
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CN109146234A (en) * | 2018-07-04 | 2019-01-04 | 国网电动汽车服务有限公司 | A kind of the safety evaluating method and system of charging network access power distribution network |
CN109754174A (en) * | 2018-12-27 | 2019-05-14 | 国网北京市电力公司 | Charging pile asset data treating method and apparatus |
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