Information Technology Reference
In-Depth Information
Due to the lack of smart appliances on the market it has been necessary to
con
gure standard appliances into monitorable loads to extract their consumption
pro
les. On the same time if a user plans to use energy management actions
controllable loads are necessaries. In particular the appliance remote start can be
performed only for some of the so called
periodical use without human interac-
tion
, due to their features.
4.2 Appliances Fuzzy Rules
The membership functions of the input variables (samples shown in Figs. 1
3 )
consist of triangular asymmetric and trapezoidal functions. The trapezoidal function
is totally represented with four points, known also as fuzzy set: A =(a 1 , a 2 , a 3 , a 4 ).
This representation is interpreted as membership functions:
-
8
<
0
;
x
a 1
\
x a 1
a 2 a 1 ;
a 1 \
x
a 2
\
l A ð
x
Þ ¼
1
;
a 2 \
x
a 3
ð 1 Þ
\
:
a 4 x
a 4 a 3 ;
a 3 \
x
a 4
\
0
;
x
a 4
[
when a 2 = a 3 , the triangular function can be considered as a particular case of the
trapezoidal one. Table 2 shows the fuzzy sets for the input variables.
Table 2 Considered fuzzy sets for input variables
Abbreviation
a 1
a 2
a 3
a 4
h(t)
Early morning
EM
0
0
300
450
Morning
M
300
400
750
800
Afternoon
A
650
750
1,000
1,150
Evening
E
1,050
1,100
1,250
1,300
Late evening
LE
1,250
1,300
1,440
1,440
DT/T(t)
Very advance
VA
0
0
0.3
0.6
Advance
A
0.5
0.75
0.75
1
In time
IT
0.9
1
1
1.1
Late
L
1
1.25
1.25
1.5
Very late
VL
1.4
1.8
2
2
p(t)
Very low
VL
0
0
0.2
0.4
Low
L
0.2
0.3
0.4
0.5
Medium
M
0.3
0.5
0.7
0.9
High
H
0.7
0.8
1.0
1.1
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