Journal of Power and Energy Engineering, 2014, 2, 541-545
Published Online April 2014 in SciRes. http://www.scirp.org/journal/jpee
http://dx.doi.org/10.4236/jpee.2014.24073
How to cite this paper: Wang, B.C. Han, G.Y. and Zhu, L. (2014) The Comprehensive Evaluation Research of Automated
Charging Station’s Lightning Protection Design in Airport. Journal of Power and Energy Engineering, 2, 541-545.
http://dx.doi.org/10.4236/jpee.2014.24073
The Comprehensive Evaluation Research of
Automated Charging Station’s Lightning
Protection Design in Airport
Baocheng Wang, Guyong Han, Lin Zhu
Xuzhou Air Force College, Xuzhou, China
Email: xzkjxywangbaocheng@163.com
Received December 2013
Abstract
In order to inspect the good and reliability of automated charging station’s lightning protection
design in airport, we set the comprehensive evaluation mathematical model of automated charg-
ing station in the airport, through the method of second order fuzzy comprehensive evaluation
and evaluate the automated charging station’s lightning protection design comprehensively by
using the assessment data of expert database.
Keywords
Automated Charging Station in Airport; Second Order Fuzzy Comprehensive Evaluation;
Comprehensive Evaluation of Lightning Protection Design
1. The Analysis of the Comprehensive Evaluation Index System about
the Lightning Protection System in Automatic Charging Station
Index is the specific concept and value of the overall phenomena’s reflection. Generally, the overall phenomena
need several indexes to be reflected. And the index system is made of these related indexes. Index system re-
flects the digital relationship of the overall phenomena. It helps us to understand the relationship and develop-
ment process of the content of technology economy comprehensively and deeply. Index system can’t be set as
we want and it has some principles. In this way, the index system that we set can be more reasonable and persu-
asive. Generally, index system should follow the following principles: system overall principles, scientific rigor
principles, concise accurate principles, highlight the key principles, stable comparable principles and flexible
feasibility principles. The overall level of automated charging station’s comprehensive lightning protection de-
sign in airport involves many factors, such as resources equipment technology and human. So when evaluate the
feasibility of automated charging station’s comprehensive lightning protection design, we should set a quantita-
tive index system according to the characteristics of lightning protection system and different levels and angles.
In this way, the evaluation can be comprehensive and scientific.
According to the evaluation of the index system such as integrity, mathematical and no redundancy, and the
practical characteristics of automated charging station’s lightning protection design system, we develop the pri-
B. C. Wang et al.
542
mary index collection and determine various index rating criteria. We got the evaluation index system through
analysis, as Figure 1 shows [1].
2. The Analysis of the Fuzzy Comprehensive Evaluation Method
The fuzzy comprehensive evaluation method is based on the fuzzy mathematics and applies the principle of
fuzzy synthesis. It can quantitate the factors which are not easy to quantitate and have fuzzy boundary. It is a
method of evaluating comprehensively. The fuzzy comprehensive evaluation method quantitates the fuzzy in-
dexes that reflect the things which are evaluated, by structuring level fuzzy subsets and then, it synthesizes the
indexes by using the principle of fuzzy transform. This method can considerate the subjective and objective fac-
tors and it is scientific intuitive and easy to operate.
A. Fuzzy Statistical Experiment
ijk
r
means the membership that the sub-factor
ij
u
belongs to level
k
v
.
ijk
r
is the ratio of the experts who vote for each sub-factor
ij
u
on level
k
v
, to all of the experts who are
tested. For every sub-factor
ij
u
, the statistical results can be expressed as:
11
12 13 14
1
221 222324
1234
i
iii
i
iiiii
i
im im imimim
rrrr
R
Rrrrr
R
Rrrrr






== 






 
In the expression,
i
R
is the fuzzy matrix of
[ ]
,
i
uV
, and it is called evaluation matrix. Every line of the ex-
pression meets the normalization condition which is
4
1
1
ijk
k
r
=
=
.
For every factor, the evaluation matrix must be ascertained through the first power fuzzy statistics.
B. First Order Fuzzy Comprehensive Evaluation
The first order evaluation B is
. In this expression,
1
m
ikij ijk
j
b ar
=
= ⋅
and
k
b
means the membership that the factor
i
u
belong to level
i
v
.
i
B
is the fuzzy subset of
V
. For each factor in
this research, we get:
Figure 1. The evaluation index system of automated charging station’s lightning protection system.
B. C. Wang et al.
543
11 1213 14
1
21 2223 24
2
31 3233 34
3
41 4243 44
4
bbbb
B
bbbb
B
Rbbbb
B
bbbb
B






== 





In this expression,
R
is the fuzzy matrix of
[ ]
,UV
.
C. Second Order Fuzzy Comprehensive Evaluation
The second order evaluation B is
( )
1234
,,,BARbb bb=⋅=
and in this expression,
4
1
ki ik
i
b ab
=
= ⋅
and
k
b
is
evaluation object and the membership that
U
belong to level
i
v
.
B
is the fuzzy subset of
V
and the result
vector of fuzzy comprehensive evaluation.
D. Comprehensive Evaluation Result
According to the principle of maximum membership degree or the transform
T
C BV= ⋅
, we can get the
evaluation result
C
. We can analyze the evaluation result through the evaluation score
C
.
3. The Design about Lightning Protection of the Fuzzy Comprehensive
Evaluation in Automatic Charging Station
Now, we evaluate the lightning protection design comprehensively through the method of second order fuzzy
comprehensive evaluation [2]. We do statistics of the index’s evaluation result which is evaluated by the experts.
We get the relative weight and membership of each index by calculating, as Chart 1 shows.
Chart 1. The data chart of the fuzzy comprehensive evaluation of automated charging station’s
lightning protection scheme.
B. C. Wang et al.
544
According to the weight in Chart 1, we know:
( )
0.25,0.2,0.2,0.35A=
( )
10.15,0.2,0.3,0.15,0.2A=
( )
2
0.4,0.2,0.4A=
()
3
0.3,0.3,0.2,0.2A=
( )
4
0.1,0.2,0.1,0.4,0.2A=
1
0.3 0.40.30
0.4 0.3 0.30
0.2 0.3 0.4 0.1
0.25 0.4 0.350
00.3 0.4 0.3
R




=



2
0.2 0.4 0.40
00.3 0.5 0.2
0.2 0.3 0.50
R


=


3
0.3 0.40.30
0.6 0.2 0.20
0.2 0.40.3 0.1
0.2 0.5 0.30
R



=


4
0.5 0.500
0.40.3 0.3 0
0.70.20.1 0
0.60.30.1 0
0.80.10.1 0
R




=



Then according to Formula 5-21, we get the result of first order fuzzy comprehensive evaluation:
( )
1 11
0.2225,0.33,0.3575,0.09B AR=⋅=
( )
222 0.16,0.34,0.46,0.04B AR=⋅=
()
3 33
0.35,0.36,0.27,0.02
B AR=⋅=
( )
4 44
0.6,0.27,0.13,0B AR
=⋅=
According to Formula 5-22, we get the first order comprehensive evaluation matrix:
1
2
3
4
0.2225 0.330.3575 0.09
0.16 0.34 0.46 0.04
0.35 0.36 0.27 0.02
0.60.27 0.130
B
B
RB
B






= =






So, according to Formula 5-23, we get the second order evaluation
B
:
()
( )
0.2225 0.33 0.3575 0.09
0.16 0.34 0.46 0.04
0.25,0.2,0.2,0.35 0.35 0.36 0.27 0.02
0.60.270.130
0.367625,0.317,0.280875,0.0345
B AR



=⋅= 


=
B. C. Wang et al.
545
If we set that
( )
0.9,0.7,0.5,0.4V=
, according to the formula
T
C BV= ⋅
[3], we can calculate the eventual
evaluation result:
11
0.646
T
C BV
=⋅=
33
0.71
T
C BV=⋅=
44
0.794
T
C BV=⋅=
0.707
T
C BV=⋅=
So, in this scheme, the score of the technology level is 0.646, the score of the feasibility is 0.628, the score of
the reliability is 0.71, the score of the economy is 0.794 and the score of the overall scheme is 0.707.
4. The Evaluation Result Analysis of the Lightning Protection Design in
Automatic Charging Station
From the result, we can conclude that in the aspect of index weight, economy is dominant and the second is
technology level. The weight of feasibility is as the same as reliability and their proportion is small. And the as-
pects of reasonable equipment cooperation, the feasibility of guiding ideology, the feasibility of technology and
construction, the safety of system, the reliability of equipment and the investment in equipment and so on play
main role.
We can see from the result that the score of the economy is 0.794, the score of the reliability is 0.71, and the
level is good. The system has good economy mainly because the automated charging station’s lightning protec-
tion design adopts the optimization scheme of the lightning protection equipment. By using the modern
lightning protection technology, the usage of the lightning protection equipment can be lessened efficiently at
the premise of guaranteeing lightning protection effect, so the later investment in lightning protection equipment
can be lessened. The score of the feasibility is 0.628 and the score of the technology level is 0.646 and the levels
of them are all medium. The score of the overall scheme is 0.707 and the level is good. The result reflects that
this scheme is reliable, economic and efficient. We can also know from the result that this lightning protection
design can have better protection effect but need more advanced technology and lightning protection equipment
and in the condition of limited budget, the investment should be lessened. More scientific management and
lightning protection and maintenance personnel with High business quality are also needed.
References
[1] Li, J.L., et al. (2009) The Technology of Modern Lightning Protection. China Water Conservancy and Hydropower
Press, Beijing.
[2] Rao, X.R., Sun, Y.G., Qian, C.F. and Me ng, X.X. (2007) Recognize Lightning Damage Discusses Lightning Protection
Measures. The Military Meteorological Hydrology, 2.
[3] Wang, E.T., Zhu, X.P. and Zhang, J.L. (2007) Lightning Protection Technology New Trends and Radar Lightning
Protection Countermeasures. Equipment Technology, 2, 56.