Ching-Shin Norman Shiau
Postdoctoral Research Fellow
e-mail: cshiau@alumni.cmu.edu
Nikhil Kaushal
Research Assistant
e-mail: nkaushal@alumni.cmu.edu
Mechanical Engineering,
Carnegie Mellon University,
Pittsburgh, PA 15213
Chris T. Hendrickson
Professor
Civil and Environmental Engineering,
Carnegie Mellon University,
Pittsburgh, PA 15213
e-mail: cth@cmu.edu
Scott B. Peterson
Research Assistant
Engineering and Public Policy,
Carnegie Mellon University,
Pittsburgh, PA 15213
e-mail: speterson@cmu.edu
Jay F. Whitacre
Assistant Professor
Engineering and Public Policy,
and Materials Science and Engineering,
Carnegie Mellon University,
Pittsburgh, PA 15213
e-mail: whitacre@andrew.cmu.edu
Jeremy J. Michalek
1
Associate Professor
Mechanical Engineering,
and Engineering and Public Policy,
Carnegie Mellon University,
Pittsburgh, PA 15213
e-mail: jmichalek@cmu.edu
Optimal Plug-In Hybrid Electric
Vehicle Design and Allocation for
Minimum Life Cycle Cost,
Petroleum Consumption, and
Greenhouse Gas Emissions
Plug-in hybrid electric vehicle (PHEV) technology has the potential to reduce operating
cost, greenhouse gas (GHG) emissions, and petroleum consumption in the transportation
sector. However, the net effects of PHEVs depend critically on vehicle design, battery
technology, and charging frequency. To examine these implications, we develop an opti-
mization model integrating vehicle physics simulation, battery degradation data, and
U.S. driving data. The model identifies optimal vehicle designs and allocation of vehicles
to drivers for minimum net life cycle cost, GHG emissions, and petroleum consumption
under a range of scenarios. We compare conventional and hybrid electric vehicles
(HEVs) to PHEVs with equivalent size and performance (similar to a Toyota Prius) under
urban driving conditions. We find that while PHEVs with large battery packs minimize
petroleum consumption, a mix of PHEVs with packs sized for 25–50 miles of electric
travel under the average U.S. grid mix (or 35– 60 miles under decarbonized grid
scenarios) produces the greatest reduction in life cycle GHG emissions. Life cycle cost
and GHG emissions are minimized using high battery swing and replacing batteries as
needed, rather than designing underutilized capacity into the vehicle with corresponding
production, weight, and cost implications. At 2008 average U.S. energy prices, Li-ion
battery pack costs must fall below $590/kW h at a 5% discount rate or below $410/kW h
at a 10% rate for PHEVs to be cost competitive with HEVs. Carbon allowance prices
offer little leverage for improving cost competitiveness of PHEVs. PHEV life cycle costs
must fall to within a few percent of HEVs in order to offer a cost-effective approach to
GHG reduction. DOI: 10.1115/1.4002194
Keywords: plug-in hybrid electric vehicle, greenhouse gas emissions, environmental
policy, design optimization, mixed-integer nonlinear programming, battery degradation,
vehicle design
1 Introduction
Plug-in hybrid electric vehicle PHEV technology is consid-
ered a potential near-term approach to addressing global warming
and U.S. dependency on foreign oil in the transportation sector as
the cost, size, and weight of batteries are reduced 1. PHEVs use
large battery packs to store energy from the electricity grid and
propel the vehicle partly on electricity instead of gasoline. Under
the average mix of electricity sources in the U.S., vehicles can be
driven with lower operation cost and fewer greenhouse gas
GHG emissions per mile when powered by electricity rather
than by gasoline 2. PHEVs have the potential to displace a large
portion of the gasoline consumed by the transportation sector with
electricity since approximately 60% of U.S. passenger vehicles
travel less than 30 miles each day 3. Several automobile manu-
facturers have announced plans to produce PHEVs commercially
in the future, including General Motors’ Chevrolet Volt, which
will carry enough battery modules to store 40 miles worth of
electricity 4 and Toyota’s plug-in version of the Prius, which
will carry enough batteries for approximately 13 miles of electric
travel 5.
The structure of a PHEV is similar to that of an ordinary hybrid
electrical vehicle HEV, except that the PHEV carries a larger
battery pack and offers plug-charging capability 6. PHEVs store
energy from the electricity grid to partially offset gasoline use for
propulsion. The hybrid drivetrain has several advantages in terms
of improving vehicle efficiency. First, the electric motor enables
the engine to operate at its most efficient load most of the time,
utilizing the batteries to smooth out spikes in power demand. Sec-
ond, having an additional source of power in the form of an elec-
tric motor enables designers to select smaller engine designs with
higher fuel efficiency and lower torque capabilities. Third, HEV
and PHEV powertrains enable energy that is otherwise lost in
braking to be captured to charge the battery and enable the engine
to be shut off rather than idling when the vehicle is at rest.
We focus on the split configuration in our PHEV study because
of its flexibility to operate similarly to a parallel or series driv-
1
Corresponding author.
Contributed by the Design Engineering Committee of ASME for publication in
the JOURNAL OF MECHANICAL DESIGN. Manuscript received December 20, 2009; final
manuscript received July 15, 2010; published online September 20, 2010. Guest
Editor: Steven J. Skerlos.
Journal of Mechanical Design SEPTEMBER 2010, Vol. 132 / 091013-1 Copyright © 2010 by ASME
Downloaded From: http://mechanicaldesign.asmedigitalcollection.asme.org/ on 10/11/2017 Terms of Use: http://www.asme.org/about-asme/terms-of-use