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    <journal-meta />
    <article-meta>
      <title-group>
        <article-title>Energy-Efficient Thermostats for Room-Level Air Conditioning</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <string-name>Milan Jain</string-name>
          <email>milanj@iiitd.ac.in</email>
          <xref ref-type="aff" rid="aff0">0</xref>
          <xref ref-type="aff" rid="aff1">1</xref>
        </contrib>
        <aff id="aff0">
          <label>0</label>
          <institution>Author Keywords Smart thermostat; Comfort; Feedback; Fault Detection</institution>
        </aff>
        <aff id="aff1">
          <label>1</label>
          <institution>Indraprastha Institute of Information Technology Delhi</institution>
        </aff>
      </contrib-group>
      <fpage>50</fpage>
      <lpage>57</lpage>
      <abstract>
        <p>Room-level air conditioners (also referred as ACs) consume a significant proportion of total energy in residential and small-scale commercial buildings. In a typical AC, occupants specify their comfort requirements by manually setting the desired temperature on the thermostat. Though commercial thermostats (such as Tado) provide basic energy-saving features, they neither consider the influence of external factors (such as weather) to set the thermostat temperature nor offer advanced features such as monitoring the fitness level of AC. In this paper, we discuss grey-box modeling techniques to enhance existing thermostats for energy-efficient control of the ACs and provide actionable and corrective feedback to the users. Our study indicates that the enhancements can reduce occupants' discomfort by 23% when maximising the user experience, and reduce AC energy consumption by 26% during the power-saving mode.</p>
      </abstract>
    </article-meta>
  </front>
  <body>
    <sec id="sec-1">
      <title>-</title>
      <p>Copyright © 2018 for this paper held by its author(s). Copying permitted for private
and academic purposes.</p>
    </sec>
    <sec id="sec-2">
      <title>Introduction</title>
      <p>
        Efficient and optimised usage of heating and air
conditioning devices - a major power consuming appliance, can
save significant energy across residential and commercial
buildings [
        <xref ref-type="bibr" rid="ref4">4</xref>
        ]. Unlike big commercial buildings, people
prefer window and split air conditioners (ACs) in residential
and small-scale commercial which comes with an inbuilt
thermostat for the occupants to mention their comfort
requirement in the form of thermostat temperature. When
thermostat embedded within the AC senses that room
temperature is close to a lower threshold, the thermostat
shuts down the compressor - a major power consuming
component of the AC. Correspondingly, when the room
temperature attains the upper threshold, the thermostat
again turns on the compressor. Even though the control
logic of thermostat drives the AC energy consumption and
maintains user comfort, the AC manufacturers design the
thresholds based on lab tests performed with numerous
assumptions about the room and its thermal environment.
In addition to that, the inbuilt thermsotats
1. need manual intervention - they rely on tenants to
set the thermostat temperature.
2. are unaware about the future - the thermostats are
incapable of leveraging the readily available
information such as weather forecast.
3. are unaware about the user comfort - as the
thermostats regulate the room temperature based on
lower and upper thresholds, there is no way to
monitor the impact of set temperature on user comfort.
4. neglect the influence of weather conditions - The
thermostats assume a highly insulated room
environment with negligble influence of weather
conditions, however, the room temperature gets affected
by the change in weather conditions.
      </p>
      <sec id="sec-2-1">
        <title>5. are incapable of monitoring the AC fitness level</title>
        <p>- undetected faults usually make an appliance
irreparable and useless. A smart thermostat capable
of monitoring the fitness level of AC can help user in
avoiding such instances.</p>
        <p>
          The existing commercial thermostats ([
          <xref ref-type="bibr" rid="ref24">24</xref>
          ], [
          <xref ref-type="bibr" rid="ref25">25</xref>
          ]) allow
users to operate their AC locally as well as remotely (from
any other location) through their smartphones, to reduce
manual internvention. Additionally, the commercial
thermostats can also pre-cool the space by monitoring the
GPS location of the user. However, even the
commercial thermostats fail to address many issues (of an inbuilt
thermostat), as stated above. To further understand the
perception of people towards the existing thermostats, we
interacted with few residents and as per a user,
“Ahmm, setting a thermostat temperature is quite
challenging task. I come home, feeling very hot and start the
AC at 23... then in some time it becomes very cold and I
turn it off... and after some time, turn it on again (may be
at a higher temperature). You never know what to set AC
on.... therefore, during night I fix my AC at 24-25 and use
blanket... at some point I feel cold and take the blanket,
after few minutes I start feeling hot and remove the
blanket. Though, it’s annoying but that’s the best way I have
figured out till now..."
In this study, we explored grey-box modelling techniques
to enhance smart thermostats for energy-efficient control
while ensuring user comfort, and also provide actionable
and corrective feedback to the occupants for optimal AC
usage. First, we proposed a comfort-energy knob (for
existing commercial thermostats) to maximise energy
savings while ensuring the user comfort. Our analysis
indicates that such a knob can reduce residents’ discomfort
by 23% when optimising comfort, and save 26% energy
in power-saving mode. Next, we studied that the
temperature information is sufficient to infer much useful
information regarding an AC for the users - such as energy
consumption, the number of compressor cycles - with an
accuracy of around 85%. Lastly, we designed Greina - an
online framework to identify the early symptoms of gas
leakage in an AC. In our analysis over 90 outlets, Greina
detected 86% faults at least a week in advance when
compared with manual reporting. One must note that,
in all the studies, we only sensed room temperature, and
gathered climatic conditions from a cloud based weather
service, which represents a genuinely low-cost and
scalable transition from smart to smarter thermostats.
        </p>
      </sec>
    </sec>
    <sec id="sec-3">
      <title>Related Work</title>
      <p>
        Programmable thermostats were one of the initial
attempts to save energy in central Heating, Ventilation and
Cooling (HVAC) units. Later, Lu et. al. [
        <xref ref-type="bibr" rid="ref18">18</xref>
        ] proposed
smart thermostat to learn residents’ occupancy patterns
and control the HVAC. Nest [
        <xref ref-type="bibr" rid="ref20">20</xref>
        ] is one such commercial
smart thermostat which is available readily available in the
market. Studies also evinced the feasibility of energy
efficiency in HVAC by using reactive and predictive control
of the thermostats based on occupancy [
        <xref ref-type="bibr" rid="ref14 ref7">7, 14</xref>
        ]. However,
one must note that control based on occupants’
schedule might lead to inefficient outcomes because tenant’s
routine is inconsistent [
        <xref ref-type="bibr" rid="ref16 ref22">22, 16</xref>
        ]. Besides, studies based
on central HVAC is inapplicable to an AC, primarily due to
design and operational variations between the two.
Specifically for ACs, manufacturers introduced intelligent
and web-based ACs [
        <xref ref-type="bibr" rid="ref24 ref25">25, 24</xref>
        ] with numerous modes of
operations (such as sleep mode) along with smartphone
based control. Li et. al. [
        <xref ref-type="bibr" rid="ref17">17</xref>
        ] proposed control algorithm to
optimise the duty-cycles of an AC compressor. However,
these studies (or products) neither consider the impact of
weather conditions, nor analyse the influence of a
particular set temperature on tenants’ comfort. Furthermore,
none of the above mentioned studies monitor the fitness
level of AC which is equally critical for the optimised
usage of an AC. In independent studies, Ganu et. al. [
        <xref ref-type="bibr" rid="ref6">6</xref>
        ] and
Palani et. al. [
        <xref ref-type="bibr" rid="ref21">21</xref>
        ] analysed the electricity signature of ACs
to find the unusual patterns; but the approach requires
user to setup a power meter to monitor AC energy
consumption, which is costly and a tedious process than the
installation of a smart thermostat.
      </p>
    </sec>
    <sec id="sec-4">
      <title>System Design</title>
      <p>
        The thermal behaviour of a space primarily depends on
the non-intuitive thermodynamics of the room (Figure 1),
however, it is hard to monitor each factor affecting the
room temperature. Therefore, studies [
        <xref ref-type="bibr" rid="ref19 ref23">19, 23</xref>
        ] explored
Grey Box Modelling where sensor data is leveraged to
tune the parameters of a lumped thermal model. Figure 2
presents the resistive-capacitive (RC) implementation of
one such lumped thermal model of a room divided into
n thermal regions. Here, capacitors depict the thermal
capacity of a particular area and resistors indicate the
heat transfer between any two regions (including the wall
and external conditions). The number of parameters of a
lumped thermal model is directly proportional to the
number of regions in a room (n). As tuning involves the actual
(temperature) data from a room, the adjusted parameters
present an approximate thermal behaviour of the room.
Given the benefits, we used grey-box model to design
the thermostat and the architecture primarly comprises of
three layers - 1.) input layer (user, sensor, and model), 2.)
learning layer, and 3.) the application layer (Figure 3) [
        <xref ref-type="bibr" rid="ref10">10</xref>
        ].
The thermostat regularly tunes the model parameters to
accommodate changes in weather conditions, user
activities (in the form of thermal noise), and various other
dynamics of the room. The system utilises the tuned
thermal model to estimate the room (or region-wise)
temper
      </p>
      <sec id="sec-4-1">
        <title>Kextlir</title>
      </sec>
      <sec id="sec-4-2">
        <title>Kextmir</title>
      </sec>
      <sec id="sec-4-3">
        <title>Kextwall</title>
      </sec>
      <sec id="sec-4-4">
        <title>Kwalllir</title>
        <p>Clir</p>
      </sec>
      <sec id="sec-4-5">
        <title>Kmirlir</title>
        <p>Tlir</p>
        <p>Wall Exposed to Weather (Cwall)
Cmir</p>
      </sec>
      <sec id="sec-4-6">
        <title>Kwallmir</title>
        <p>Walls Exposed to Adjacent Rooms
Adjacent Rooms</p>
        <p>Text</p>
      </sec>
      <sec id="sec-4-7">
        <title>Khirmir</title>
        <p>Tmir</p>
      </sec>
      <sec id="sec-4-8">
        <title>Kexthir</title>
        <p>Twall
Kwallhir QAC
Chir</p>
        <p>Thir</p>
        <p>AC
Text
Kextwal
Twal
KrLext
Krext
K1ext
K1wal
Krwal
KrLwal</p>
        <p>QAC</p>
        <p>T1</p>
        <p>Kr1
Cwal
C1</p>
        <p>Cr
Tr</p>
        <p>KrLr</p>
        <p>TrL
CrL</p>
        <p>User Input
Sensor Data
Thermal Model</p>
        <p>Learn the Model Parameters
Energy-Efficient</p>
        <p>Control
Actionable
Feedback
Applications
Fault Diagnosis</p>
        <sec id="sec-4-8-1">
          <title>Energy-Efficient Control</title>
          <p>
            People feel comfortable in a range of temperature. Ideally,
a thermostat should report the users, “What temperature
settings will provide them personal comfort and the cost
efficiency?”. We proposed enhancing smart thermostats
by adding a Comfort-Energy Trade-off (CET) knob,
realised through an optimisation framework which assists
users in balancing their comfort and the savings without
worrying about the right set temperature [
            <xref ref-type="bibr" rid="ref13">13</xref>
            ]. Motivated
by Lake Thermal Stratification [
            <xref ref-type="bibr" rid="ref3">3</xref>
            ], we divided a room into
three regions (Figure 1) - Low Impact Region (lir),
Moderate Impact Region (mir), and High Impact Region (hir).
Here, hir corresponds to the area in proximity of the AC,
facing direct and maximal impact of the cold air coming
from the AC. Next, mir is the region where occupants
spend their significant time and often have an indirect
effect of AC cooling, while lir primarily includes the
corner spaces of the room. The regions are assumed to be
separated by a thin layer of air having negligible thermal
mass. The model is an extension of a 2nd order thermal
model [
            <xref ref-type="bibr" rid="ref5">5</xref>
            ] and considers conductive heat transfers due to
the difference in temperature of the region (under
consideration) and the adjacent spaces such as weather
conditions, wall (facing outside), neighbouring regions, and
the AC. We assume negligible heat transfer through
adjacent rooms within the home. The thermostat (Figure 4)
uses the tuned thermal model, set temperature, and CET
to then automatically vary the thermostat temperature.
Our analysis indicates that the enhancement can reduce
occupants’ discomfort by 23% when maximising the user
experience, and AC energy consumption by 26% during
Optimisation Framework
          </p>
          <p>Optimizer
Tuned Thermal Model</p>
          <p>Tuner
Thermal
Model</p>
          <p>Historical AC
Usage Data</p>
          <p>Optimal AC Control
9 PM 10 PM 11 PM
21℃ 19℃ 22℃</p>
        </sec>
        <sec id="sec-4-8-2">
          <title>Actionable Feedback</title>
          <p>
            Automatically varying the thermostat temperature can
sometimes either result in false positives and waste
significant energy, or false negatives which can make
occupants uncomfortable [
            <xref ref-type="bibr" rid="ref1">1</xref>
            ]. On contrary, a feedback system
allows occupants to override the control logic and specify
their preference based on the suggestions. Therefore, we
proposed PACMAN - to predict (prior-usage) and estimate
(post-usage) AC energy consumption by only sensing the
room temperature (Figure 5) [
            <xref ref-type="bibr" rid="ref11 ref12">11, 12</xref>
            ].
          </p>
          <p>The advanced algorithm of PACMAN leverages a
singlezone thermal model which assumes uniform
temperature across the room - a single value indicates the room
temperature. A single zone thermal model considers the
effect of AC cooling and external temperature while
accounting for all other internal and external sources of heat
transfer as thermal noise in the room. The learned
parameters assist PACMAN in mapping the ambient
information (room temperature) with AC energy consumption
that otherwise would require plug-level monitoring. The
proposed system ensures occupants’ participation by
providing power consumption feedback to them at
successive phases of the AC usage. In our analysis, the
proposed system achieved an average accuracy of 85.3%
and 83.7% in estimating and predicting AC energy
consumption, respectively, across all the homes.</p>
        </sec>
        <sec id="sec-4-8-3">
          <title>Detecting Gas Leakage</title>
          <p>
            Air conditioners often break down due to ageing and
irregular maintenance. A broken AC wastes significant
energy and usually fails to maintain desired temperature
for the users. While users promptly identify the sudden
failures, they usually fail to sense the early symptoms of
slow time-varying faults. Refrigerant gas leakage is an
example of slow time-varying defect where coolant leaks
through the coils (and valves) and leakage slowly
diminishes the cooling capacity of the AC. Besides degrading
the equipment life, gas leakage results in energy wastage
(between 5%-15%), never attains the desired
temperature, and makes environment hazardous for the living
beings [
            <xref ref-type="bibr" rid="ref2">2</xref>
            ]. To the best of our knowledge, none of the
existing commercial thermostats or existing studies (proposing
smart thermostats) deal with diagnosing gas leakages.
We proposed a scalable and low-cost fault detection
engine Greina - that monitors ambient information (room
temperature and door status) to identify the early
symptoms of gas leakage. The proposed framework leverages
transfer learning to ensure fault detection even when data
is inadequate for training. In addition to that, the online
algorithm of Greina ensures that model adapts to
temporal and spatial diversities in the environment. For
performance evaluation, we gathered data from 90 outlets
of a retail enterprise for one year. In our analysis, Greina
detected 86% faults at least a week in advance, when
compared with manual reporting. Furthermore, if
maintenance team had employed Greina, the company could
have saved 2x energy while minimising the risk to stored
food items by keeping the room 5 C-10 C colder every
day, when AC had refrigerant leakage.
          </p>
        </sec>
      </sec>
    </sec>
    <sec id="sec-5">
      <title>Discussions</title>
      <p>In this paper, we discussed three major enhancments
in smart thermostat which can provide region-specific
comfort, actionable feedback, and fault diagnosis by only
sensing ambient information from the room. However, one
must also note that the current studies neither deals with
the thermostat design nor its mobile application.
Previous studies show that human-centric prototypes of such
devices (and applications) can significantly influence the
outcomes. We keep the thread open for the concerned
community.</p>
      <p>Similarly, the wide adoption across the community
establishes the reason behind the choice of metrics and
functions in the existing framework; they are the nut and bolts
of the proposed system. Tightening them might boost the
performance of designed thermostat and the community
is encouraged to study their variants in enhancing the
proposed framework. Moreover, climate, users’ attitude
(towards energy savings), and many other factors differ
significantly across the geographies. Though the shown
numbers are an indication of better comfort along with
notable energy savings, there can be considerable
discrepancy across (and within) the countries.</p>
      <p>
        Furthermore, there still exist multiple open research
problems for future exploration. The occupants’ location (whether
they are home/away) can empower the smart thermostats
to run model predictive control (MPC) for dynamic set
temperature variation in the ACs. Another interesting
application exists in small-scale commercial units - such as
restaurants and bank branches - which often deploy
multiple ACs and possess a tremendous potential for energy
savings [
        <xref ref-type="bibr" rid="ref8 ref9">8, 9</xref>
        ]. The installed ACs typically run on their
full capacities without accounting for cooling impact from
neighbouring ACs, present in the same room. Though
Karmakar et. al. [
        <xref ref-type="bibr" rid="ref15">15</xref>
        ] proposed coordinated scheduling of
multiple ACs to reduce the peak power consumption,
enhancing the proposed algorithm can also assist in better
grid management.
      </p>
    </sec>
    <sec id="sec-6">
      <title>Conclusion</title>
      <p>Room-level air conditioners are designed to maintain a
suitable temperature for the occupants in relatively small
rooms, especially in residential and small-scale
commercial buildings. The smart thermostat provides limited
energy-saving features but possess significant scope
for enhancements. In this paper, we discussed
greybox techniques for smart thermostats to ensure
energyefficient control of the AC, actionable feedback for the
occupants, and refrigerant leakage detection to avoid any
permanent damage to the appliance. Our analysis over
real-world data shows that the proposed enhancements
are effective in significantly reducing the AC energy
consumption while ensuring the user comfort. In addition to
energy-efficient control, the proposed thermostat is
powerful enough to provide actionable and corrective
feedback to the user with an accuracy better or comparable to
state of the art techniques.
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      <sec id="sec-6-2">
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