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  <front>
    <journal-meta />
    <article-meta>
      <title-group>
        <article-title>Pre-Estimation of Electric Vehicle Energy Consumption on Unfamiliar Roads and Actual Driving Experiments</article-title>
      </title-group>
      <contrib-group>
        <aff id="aff0">
          <label>0</label>
          <institution>Toshiaki Uemura supervised by Takashi Tomii Yokohama National University</institution>
        </aff>
      </contrib-group>
      <abstract>
        <p>For this study, we constructed a system for pre-estimation of electric vehicle (EV) energy consumption on unfamiliar roads. Drivers of EVs must make plans based on estimated energy consumption because they fear that an EV might run out of power and stop on the road. Our constructed system pre-estimates ranges at which an EV can be expected to be forced to stop on a road. The range is calculated using EV driving simulation on a route that is input by a driver. The driving simulation requires only map data and the EV car specifications. Moreover, we assessed a system using a real EV. Results show that the system produced suciently correct ranges on the roads used for experimentation. Additionally, we evaluated the accuracy of ranges output by our system. For evaluation, we used numerous accumulated daily driving logs for EVs.</p>
      </abstract>
    </article-meta>
  </front>
  <body>
    <sec id="sec-1">
      <title>INTRODUCTION</title>
      <p>In recent years, energy-eciency and CO2 emission
reduction have become necessary worldwide because of
climatic variation and scarcity of fossil fuels. Given that
background, electric vehicles (EVs) are attracting global
attention. Reportedly, EVs present the benefit that so-called
well-to-wheels CO2 emissions are lower than those of
internal combustion vehicles (ICVs). In addition, EVs have
no emissions when they are running. Many countries have
formulated EV deployment goals for the future. Therefore,
EVs are expected to penetrate markets gradually worldwide.</p>
      <p>Nevertheless, many diculties arise when a user operates
an EV. One is the diculty of EV travel planning when
a user navigates unfamiliar roads. Planning must be done
while considering an EV travel range and when and where
one might stop at a charging station. However, EV travel
ranges change drastically because of road gradients and
traffic conditions. Therefore, average users have diculty
making a precise plan for unfamiliar routes.</p>
      <p>Proceedings of the VLDB 2019 PhD Workshop, August 26th, 2019. Los
Angeles, California. Copyright (C) 2019 for this paper by its authors.
Copying permitted for private and academic purposes.</p>
      <p>As described in this report, we propose a system that
supports an EV user’s travel planning on unfamiliar roads. We
present a solution for pre-estimating the EV energy
consumption range: minimum energy consumption Emin and
maximum energy consumption Emax. We present Emin and
Emax to assist planning. In addition, if Emin and Emax are
correct, actual energy consumption Ereal is in the range of
Emin – Emax. Therefore, to evaluate the accuracy of the
proposed system, we conducted EV driving experiments on
roads with two conditions and confirmed that Ereal is in the
range of Emin – Emax.
2.</p>
    </sec>
    <sec id="sec-2">
      <title>RELATED WORKS</title>
      <p>
        Studies of many types have estimated EV energy
consumption and therefore the EV travel range. Using a
motion equation model and actual driving logs collected by a
probe car, most of these studies have produced methods to
calculate EV energy consumption or travel range.
Grubwinkler et al. estimated EV energy consumption from statistical
analysis of driving data generated from large amounts of
collected driving data[
        <xref ref-type="bibr" rid="ref5">5</xref>
        ]. Ito et al. estimated EV travel ranges
from averaging energy consumption maps from a probe car
database[
        <xref ref-type="bibr" rid="ref6">6</xref>
        ]. Zhang et al. proposed estimation of EV travel
range using driving logs, trac conditions, and weather[
        <xref ref-type="bibr" rid="ref12">12</xref>
        ].
Styler et al. proposed a means of controlling a Range
EXtender (REX) EV more eciently using estimated energy
consumption generated from probe car data[
        <xref ref-type="bibr" rid="ref9">9</xref>
        ]. Yang et al.
proposed a means of estimating energy consumption and
CO2 emissions from average speed and stop frequency data
acquired by passage sensors at an intersection[
        <xref ref-type="bibr" rid="ref11">11</xref>
        ].
      </p>
      <p>
        Moreover, many studies have solved optimization
problems of energy consumption and driving using motion
equations and other data. Karbowski et al. proposed a means
of controlling plug-in hybrid EVs (PHEVs) using an energy
consumption simulation generated from trac, road maps,
and Markov Chain[
        <xref ref-type="bibr" rid="ref7">7</xref>
        ]. Kurtulus and Inalhan proposed a
route decision algorithm for REXEV considering energy
consumption calculated from trac, weather, maps, and the
destination[
        <xref ref-type="bibr" rid="ref8">8</xref>
        ]. De Souza et al. proposed a trac
assignment algorithm that minimizes EV travel time and energy
consumption[
        <xref ref-type="bibr" rid="ref1">1</xref>
        ]. Felipe et al. estimated energy
consumption using an artificial neural network into which driving
styles and route features are input[
        <xref ref-type="bibr" rid="ref4">4</xref>
        ]. Fei et al. proposed
hybrid models incorporating a motion equation model and
a machine learning model[
        <xref ref-type="bibr" rid="ref3">3</xref>
        ]. Unlike these studies, we make
our contribution by evaluating the practicality of our system
using large amounts of data acquired in di↵erent regions.
3.
      </p>
    </sec>
    <sec id="sec-3">
      <title>PRE-ESTIMATION SYSTEM</title>
      <p>To pre-estimate EV energy consumption, the EV user
inputs only an origin and a destination and anticipated stop
locations (sightseeing spots or stores, etc.) during a trip.
Next, the system generates origin-destination (OD) trip
simulation logs running on candidate routes at a constant speed
vc from these inputs. Trip simulation logs are normalized
by time. We set speed vc in advance, for example, a speed
limit on a road.</p>
      <p>
        Then, trip simulation logs are input to an EV energy
consumption model. We use a model based on a motion
equation[
        <xref ref-type="bibr" rid="ref2">2</xref>
        ]. Then Emin and Emax are calculated from outputs
of the EV energy consumption model.
3.1
      </p>
    </sec>
    <sec id="sec-4">
      <title>Emin Calculation</title>
      <p>This subsection presents a description of minimum energy
Emin calculation. For this report, Emin is defined as “energy
consumption when an EV runs at constant speed vc and does
not stop.”</p>
      <p>First, an EV energy consumption log is calculated every
second by inputting a trip simulation log into the EV
energy consumption model. Expression (1) represents the EV
energy consumption model. Table 1 presents variables of
Expression (1), in which c represents 1/3600/1000 J/kW h,
and t denotes a time.</p>
      <p>et
=</p>
      <p>1
c(( ⇢C dAv2 + µM g cos ↵ + M g sin ↵
2</p>
      <p>dv 1
+(M + Mi) dt ) ⇥ ⌘ ⇥ v) [kW h]</p>
      <p>Finally, Emin is calculated as the summation of et
(Expression (2)). Also, n represents the number of simulation
logs of an OD trip.</p>
      <p>Emin =
n
X et [kW h]
t=0
(1)
(2)
3.2</p>
    </sec>
    <sec id="sec-5">
      <title>Emax Calculation</title>
      <p>This subsection presents our description of how to
calculate maximum energy Emax. We define Emax as “energy
consumption when an EV runs at constant speed vc, and
outward
homeward
accelerates and decelerates when stopping at every stop
location and every signal, assuming bad conversion eciency
during acceleration and deceleration.”</p>
      <p>Therefore, we define Emax as shown in Expression (3)
because we want to express it easily. Eacc is described in
Expression (4). Additionally, N stands for the number of
stops when an EV stops at every stop location and every
signal.</p>
      <p>Emax = Emin + Eacc [kW h]
Eacc = N ⇥</p>
      <p>We conducted EV driving experiments for long trips in
Hokkaido in 2017 and 2018. Hokkaido has an area that
is the longest interval in Japan between charging stations.
In this area, a fundamental problem arises of whether an
EV can arrive at the next charging station after it leaves
a charging station. Therefore, we conducted experiments
on three routes to ascertain which route is best for an EV
driver.</p>
      <p>We simulated kitami 1 and kitami 2 using the system in
2017. Figure 2 shows kitami 1 and kitami 2 routes. We
designated charging points as CPs. The kitami 1 travel
distance is greater, but the elevation di↵erence is smaller.
Furthermore, the kitami 2 travel distance is shorter, but
the elevation di↵erence is greater. We simulated kitami 10
in 2018 (Fig. 3) because a new charging station is located
there.
4.1.2</p>
      <sec id="sec-5-1">
        <title>Experiment results</title>
        <p>
          Table 3 shows the pre-estimated results. We conducted
EV driving experiments using a Nissan Leaf (Nissan Motor
Co. Ltd.) as the experiment EV in 2017 and 2018. We used
estimated energy consumption logs[
          <xref ref-type="bibr" rid="ref10">10</xref>
          ] calculated from GPS
data as Ereal. In 2017, the experiment EV’s remaining
battery charge was the equivalent of 13.4 kWh when its battery
was 80% charged. That charge was achieved through
charging time of 30 min. We selected and ran kitami 2 because
kitami 1 Emin was 15.27 kWh (greater than the 13.4 kWh
@80%), as Table 3 shows. These calculations indicate that
the EV can run the whole kitami 10 route if the remaining
battery charge is greater than 15.01 kWh. The experiment
EV was 16.7 kWh @100% (more than 15.01 kWh).
Therefore, we chose the kitami 10 route for the 2018 experiment.
Table 4 shows Ereal for the actual driving experiments. We
can infer that the system outputs “Emin and Emax” are
correct because Ereal is between Emin and Emax.
4.2
        </p>
      </sec>
    </sec>
    <sec id="sec-6">
      <title>Short trips</title>
      <p>
        After we accumulated EV energy consumption logs[
        <xref ref-type="bibr" rid="ref10">10</xref>
        ] in
a database, we evaluated the accuracy of Emin and Emax
using EV energy consumption logs accumulated from daily
commuting. We therefore accumulated a large amount of
one commuter’s data. The total number of trips was 786:
outbound trips were 434, homeward trips were 352.
Therefore, we use these logs as Ereal. We then compare Emin and
Emax with Ereal to evaluate their accuracy.
4.2.2
      </p>
      <sec id="sec-6-1">
        <title>Experiment results</title>
      </sec>
    </sec>
    <sec id="sec-7">
      <title>CONCLUSION</title>
      <p>As described in this report, we proposed a system for
preestimation of maximum and minimum electric vehicle (EV)
energy consumption for use with unfamiliar roads. We
defined the minimum energy consumption is achieved when an</p>
      <p>CP
to Destination</p>
      <p>Ereal
5.81 kWh
6.40 kWh
EV travels at a constant speed. Maximum energy
consumption occurs when an EV travels at a constant speed, but
also stops at controlled intersections and set places, such as
sightseeing spots and stores.</p>
      <p>Moreover, we conducted actual driving experiments, which
yielded actual energy consumption logs with data in a range
showing the estimated minimum energy consumption and
estimated maximum energy consumption. Our next
challenge is to estimate a range that is specialized for individuals
and routes using numerous daily life logs. Another challenge
is consideration of an air conditioner’s energy consumption
to output more correct EV energy consumption.</p>
    </sec>
    <sec id="sec-8">
      <title>ACKNOWLEDGMENTS</title>
      <p>Part of this work is supported by JSPS KAKENHI Grant
Number 18K11750.</p>
    </sec>
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