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factor (equal to the difference in hours between the average period of use of the
appliance and the time elapsed since the last start), as stated in Richardson et al.
( 2010 ). The result is then compared with a random number (within the real interval
0
-
1). The appliance will start if:
this number is less than the scaled probability
￿
there is at least one person in the house
￿
there are suf
cient active people in the house (only for some appliance
'
s
￿
categories)
the sum between the current electrical consumption and the max power of the
appliance is less than the power the customer can absorb from the grid.
￿
Table 1 shows the need of taking into account also the number of active people
in the dwelling for
Periodical use appliances with human interaction
and
Mul-
timedia Appliances
. Starting from the typical pattern of people in the household
we decrement this number when an appliance of one of these categories starts and
increment this number when the appliance is turned off.
To simulate EM actions, fuzzy rules have been modi
ed to approximate a
different user behavior regarding the starting time of the two main shiftable
appliances (dishwasher and washing machine). As an example, without any action,
fuzzy input sets for
periodical use appliances without human interaction
are:
the time of the day h(t)
￿
the time elapsed since the last appliance start multiplied his typical start fre-
quency DT/T(t)
￿
and a typical rule formulation is:
if h(t) is afternoon and DT/T(t) is late, then the probability to start the appliance
is low.
In the following section we will describe tests performed to validate the model.
5 Model Validation
We validated the model collecting a set of consumption data from 12 volunteer
dwellings in and around the town of Ripatransone in the province of Ascoli Piceno,
Italy. All people in these households have been brie
y interviewed to build
occupancy patterns and fuzzy rule sets starting from their typical energy habits.
A set of data loggers were installed in the dwellings and con
fl
gured to record
demand at 1 min intervals. An example 24 h demand pro
le for a single dwelling
taken from the measured data set is shown in Fig. 6 . In order to create a con-
sumption database we installed in four of these dwellings individual appliance
monitors (IAMs from Current Cost company) to extract 6 s resolution consumption
data of every household monitorable load (e.g. washing machine, dishwasher,
multimedia appliances, iron, oven, microwave). For the remaining 8 dwellings,
appliances were not directly monitored, but the pro
les were used choosing for
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