Plug-in Electric Vehicle Planning Toward DDPP Constrained by
Electricity Grid Limitation
Ali Hajebrahimi
1
and Innocent Kamwa
2
Abstract— Electric vehicle (EV) has alluded as a solution for
CO
2
emission reduction in the transportation sector. However,
uncontrolled penetration of EVs considering power grid limita-
tion will increase CO
2
emission in the electricity sector. Hence,
in this paper, a decomposed model of EVs planning is proposed
to obtain the optimal penetration of EVs considering associated
uncertainties. Moreover, a new bi-level charging/discharging
control which considers both desires of the PEVs and the system
operator is addressed in this paper. The results demonstrate
that it is possible to increase the penetration of EVs up to 30%
by 2025 while reducing the total load curtailment by 37% and
the total emission by 28% compared to the baseline case with
no supervisory EV charging/discharging control. The proposed
planning problem is applied to Ontario’s grid considering
existing and projected plans of transmission and generation
expansion.
I. INTRODUCTION
Deep Decarbonization Pathway Projects (DPPP) are struc-
tured on three pillars [1]:
1) Energy efficiency and conservation.
2) Low carbon electricity.
3) Electrification of end-use sector .
It is not possible to reach deep decarbonization targets if
any of these pillars aren’t accomplished at sufficient level [1].
Amongst the three mentioned pillars, the electrification of
the end-use sector includes the efforts for shifting end-use
energy consumption from fossil fuels to zero-carbon fuels.
In summary [1]:
• Shifting from coal to natural gas.
• In the longer run, shifting to decarbonized energy car-
riers.
• Adoption of electric, biofuel or hydrogen vehicles.
Therefore, the electric vehicle (EV) in transportation sector
can be considered as a solution to reduce the CO
2
emission
in this sector [2], [3]. However, it is necessary to mention
that the required energy of EVs should be provided through
a clean electricity sector [2]. Otherwise, increasing the pen-
etration of EVs would cause a shift from a decentralized
emission production to a centralized one. Therefore, the
optimal penetration of electric vehicle in the electricity
grid has turned to a controversial issue in power system
studies [4], [5], [6].
The majority of previous studies have disregarded the
impact of transmission constraints on PEVs penetration [4],
*This work was not supported by any organization
1
A. Hajebrahimi , Laval University, Quebec City, QC G1V 0A6, Canadaa
(e-mail: ali.hajebrahimi.1@ulaval.ca)
2
I. Kamwa is with Hydro-Quebec/IREQ, Power Systems and Mathemat-
ics, Varennes, QC J3X 1S1, Canada (e-mail: kamwa.innocent@ireq.ca)
[5]. In this context, the authors in [6], [7] have investigated
the optimal transition to hybrid EVs considering electricity
grid limitation. However, the uncertainties related to EVs
mobility and renewable generations are overlooked. In [6],
the EVs are considered as simple loads which appear only on
weekends, and there is no charging/discharging control pol-
icy. In order to obtain the maximum penetration of PEVs in
the electricity sector in this paper, a Monte Carlo simulation
is applied to investigate the impact of EVs uncertainties as
well as the renewable generation on the optimal transition to
the electric vehicle. The required energy of EVs to be fully
charged, arrival and departure time and wind generation are
considered as uncertain variables in this paper. Herein, the
EVs can participate in different charging programs proposed
by the independent system operator (ISO). Three charging
control strategies are investigated here. In the first control
strategy, the EVs start to charge and discharge as soon as they
arrive homes and there is no control policy for charging. At
the second charging control strategy, a home-based charg-
ing/discharging control which obtains the desired charging
profile of EVs is applied [8]. A bi-level charging control as
the third control strategy is proposed in this paper in which
the EVs participate in different programs satisfying both
interests of end-user and the ISO for charging EVs. More-
over, a benders decomposition is developed here for EVs
planning such that the optimal number of electric vehicle
fleets are determined through the designated feasibility and
infeasibility benders cuts. The proposed planning problem is
applied on simplified Ontario’s electricity grid. It is shown
that the proposed model increases the penetration of EVs up
to 30% by 2025. The rest of the paper is organized as follows:
Section II represents the planning problem, charging and
discharging management, feasibility check subproblem and
operation subproblem, respectively. The results are explored
in Section III and the concluding remarks are drawn in
Section IV.
II. FORMULATION
The planning problem is decomposed into one master
problem and three subproblems. Monte Carlo simulation is
implemented here to generate the scenarios corresponding
to required energy of EVs (E
re
), arrival time (t
a
), departure
time (t
d
) and wind farm generation. Afterward, a scenario
reduction using SCENRED tool in GAMS is applied to
extract the most probable scenarios. Then, the generated
scenarios are submitted to home-based charging manage-
ment and two subproblems. In the next step, the master
problem specifies the number of the electric vehicle fleet
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