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Optimizing Hydrogen Fueling Infrastructure Plans on Freight Corridors for Heavy-Duty Fuel Cell Electric Vehicles

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Abstract

The development of a future hydrogen energy economy will require the development of several hydrogen market and industry segments including a hydrogen based commercial freight transportation ecosystem. For a sustainable freight transportation ecosystem, the supporting fueling infrastructure and the associated vehicle powertrains making use of hydrogen fuel will need to be co-established. This paper introduces the OR-AGENT (Optimal Regional Architecture Generation for Electrified National Transportation) tool developed at the Oak Ridge National Laboratory, which has been used to optimize the hydrogen refueling infrastructure requirements on the I-75 corridor for heavy duty (HD) fuel cell electric commercial vehicles (FCEV). This constraint-based optimization model considers existing fueling locations, regional specific vehicle fuel economy and weight, vehicle origin and destination (O-D), vehicle volume by class and infrastructure costs to characterize in-mission refueling requirements for a given freight corridor. The authors applied this framework to determine the ideal public access locations for hydrogen refueling (constrained by existing fueling stations), the minimal viable cost to deploy sufficient hydrogen fuel dispensers, and associated equipment, to accommodate a growing population of hydrogen fuel cell trucks. The framework discussed in this paper can be expanded and applied to a larger interstate system, expanded regional corridor, or other transportation network. This paper is the third in a series of papers that defined the model development to optimize a national hydrogen refueling infrastructure eco-system for heavy duty commercial vehicles.
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Optimizing Hydrogen Fueling Infrastructure Plans on Freight Corridors for Heavy
Duty Fuel Cell Electric Vehicles
Adam Siekmann, Vivek Sujan, Majbah Uddin, Yuandong Liu, Fei Xie
Abstract
The development of a future hydrogen energy economy will require
the development of several hydrogen market and industry segments
including a hydrogen based commercial freight transportation
ecosystem. For a sustainable freight transportation ecosystem, the
supporting fueling infrastructure and the associated vehicle
powertrains making use of hydrogen fuel will need to be co-
established. This paper introduces the OR-AGENT (Optimal Regional
Architecture Generation for Electrified National Transportation) tool
developed at the Oak Ridge National Laboratory, which has been used
to optimize the hydrogen refueling infrastructure requirements on the
I-75 corridor for heavy duty (HD) fuel cell electric commercial
vehicles (FCEV). This constraint-based optimization model considers
existing fueling locations, regional specific vehicle fuel economy and
weight, vehicle origin and destination (O-D), vehicle volume by class
and infrastructure costs to characterize in-mission refueling
requirements for a given freight corridor. The authors applied this
framework to determine the ideal public access locations for hydrogen
refueling (constrained by existing fueling stations), the minimal viable
cost to deploy sufficient hydrogen fuel dispensers, and associated
equipment, to accommodate a growing population of hydrogen fuel
cell trucks. The framework discussed in this paper can be expanded
and applied to a larger interstate system, expanded regional corridor,
or other transportation network. This paper is the third in a series of
papers that defined the model development to optimize a national
hydrogen refueling infrastructure eco-system for heavy duty
commercial vehicles.
Introduction
The development of a future hydrogen energy economy will require
the development of several hydrogen market and industry segments
including hydrogen based commercial freight transportation
ecosystem [Error! Reference source not found.,1,3,4,5]. As more
countries and companies commit to a reduction in criteria and
greenhouse gas emissions from vehicles to reduce pollution and
combat climate change concerns [6,7,8,9,10], there needs to be an
aligned strategy to provide the infrastructure to accelerate the adoption
of new and emerging vehicle powertrain technologies. This is
especially critical for the freight transportation industry where 24% of
all transportation generated GHG emissions come from freight truck
movement. At present, while R&D into vehicle technologies for the
use of electricity or hydrogen as a fuel is rapidly gaining momentum,
the challenge in the near term towards sustainable large scale customer
adoption remains [Error! Reference source not found.,11]. The rate
and pace of technology evolution and how it will affect the energy
pathways for commercial transportation and industrial use are
dependent on multiple variables such as national energy and
environmental policies and public-private partnerships [Error!
Reference source not found.]. As we migrate from a carbon intensive
fossil fuel-based freight transport system to a substantially/completely
decarbonized freight transport system, several customer centric
challenges need to be addressed. As compared to BEV or H2
powertrains, fossil fuel-based powertrains provide mission flexibility,
and high uptime at a relatively low total cost of ownership (TCO).
While the incumbent carbon intensive powertrains suffer from poor
efficiency and are not sustainable to support Global Climate Change
initiatives in transportation decarbonization, techno-economic
challenges continue to create complex barriers to the large-scale
displacement of these with highly electrified powertrains architectures
[13,14,15]. Migration towards sustainable zero emission power in
commercial vehicles with steady long-term adoption rates is dependent
on both vehicle and infrastructure solutions that are well aligned with
commercial vehicle end-user market needs. Their priorities are
centered on: Availability (i.e. solutions are ready when it matters),
Affordability (i.e. favorable economics), Efficiency (i.e. lower
operational expenditure), Productivity (i.e. ability to get the job done),
and Sustainability (i.e. emissions or CO2 footprint/TCO/system-of-
system capabilities). With fuel cell vehicles being an attractive option
for the replacement of diesel-powered trucks, the refueling
infrastructure along interstate highways demands a level of urgency to
meet regulatory deadlines. For a sustainable freight transportation
ecosystem, the supporting fueling infrastructure and the associated
vehicle powertrains making use of hydrogen fuel will need to be
optimized [16,17,Error! Reference source not found.].
Current refueling infrastructure (Figure 1) allows for diesel fuel to be
transported, with relative ease, to various refueling locations including
“behind the fence” locations such as distribution centers and port
authorities, public refueling stations, and other shipping origins and
destinations. The varying locations for a vehicle to refuel allows for
optimal refueling strategies on the vehicular level, with flexibility for
refueling options when weather and traffic adversely affect fuel
economy.
Current infrastructure requirements literature is based on the needs to
reduce GHG emissions and meet regulatory targets between 2030 and
2040 and the expected adoption rate of alternative fuel vehicles such
as compressed and liquid natural gas, hydrogen FCEV, BEV and
others with the main near-term focus being BEVs. The European
Automobile Manufacturer’s Association estimates there will need to
be approximately 30,000 500kW public chargers required by 2030 and
1,000 hydrogen refueling stations by 2030 [Error! Reference source
not found.]. The International Council on Clean Transportation
suggests that only 220 stations providing 4,800 kg of hydrogen a day
will be required in the US, with that number rising to nearly 7,000
stations by 2050 [0]. Of note it is suggested that only 12% of heavy
trucks on the road will be FCEV by 2050 with the remaining being a
combination of BEV and ICE.
The first paper in this series explored the freight traffic demand and
described methods of generating freight volumes and vehicle weights
using the Freight Analysis Framework (FAF), Travel Monitoring
Analysis System (TMAS), and other data sources to determine demand
for hydrogen along I-75 [18]. The second paper in this series explored
the cost of installing hydrogen refueling infrastructure and the impact
demand have on total system cost as well as the impact on refueling
time for commercial trucks [22]. In this paper, the third in the series,
introduces the OR-AGENT (Optimal Regional Architecture
Generation for Electrified National Transportation) tool developed at
the Oak Ridge National Laboratory (ORNL), which has been used to
optimize the hydrogen refueling infrastructure requirements on the I-
75 corridor for HD FCEVs.
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Figure 1. Diagram showing typical diesel refueling infrastructure
Figure 2. Complete architecture for FCEV with highlighted section
indicating OR-AGENT focus for this paper
OR-AGENT is the evolution of the previous ORNL developed
infrastructure planning tool, REVISE-II [23] that explored the location
of electric chargers for battery electric vehicles. In the new OR-
AGENT framework, a systematic multi-layered approach to on-
highway freight transportation energy infrastructure is developed. The
long-term objective of the tool is to provide an optimal zero emission
vehicle powertrain and energy infrastructure architecture
recommendation, that is regional specific, and accurately represents
real world scenarios including freight movement, energy
infrastructure, operational characteristics, and local constraints. This
framework will assimilate the commercial vehicle first, middle, and
last mile operations data including vehicle O-D weight and volume,
the vehicle powertrain architecture options, supporting energy
infrastructure components (both behind the fence and public access
dispensing, storage, and DER), the electric grid energy production
assets, regional constraints, and operating environment factors. It then
uses advanced genetic algorithms to meet the objectives. Figure 2
shows the architecture considerations for OR-AGENT. The initial first
phase construct (Figure 3 and topic of this paper) will incorporate
various external data sets from powertrain simulations, existing
infrastructure, and other sources to generate a realistic representation
of the public access refueling requirements for HD FCEVs traveling
on the I-75 freight corridor network. This will focus on the public
refueling infrastructure typically found at travel centers and truck stops
and makes assumptions that a vehicle can only fill up at these locations,
as discussed later. Considerations into traffic, weather, grid impact
and hydrogen generation are not considering in this first phase model.
The OR-AGENT model in this study will provide decisions on:
Where should a refueling station be located to meet
hydrogen demand?
What is the hydrogen storage need at each station?
How many dispensers should a refueling station have to
meet hydrogen demand?
What type of dispenser technology provides the lowest cost
option while still meeting demand?
Previously studies have explored the optimization of refueling
locations for various vehicle types including both passenger and
commercial vehicles [24]. These studies have also explored the
requirements for fuel transportation to refueling locations and various
use cases for the specific refueling station using different mathematical
models to determine origin-destination pairs and distance traveled of
vehicles. The reoccurring assumption in these previous studies is that
a vehicle has a finite driving distance absent of road grade or vehicle
parameters. In our study, simulated vehicle dynamics will be
incorporated to provide a realistic representation of driving range and
refueling requirements.
Research on infrastructure needs revolve around
This paper will discuss the current data requirements for the model and
how the data is generated. Secondly, the methods and steps required
to incorporate the data and form a result. Lastly, a sample result will
be discussed with a discussion of the conclusions and future
opportunities.
Model data inputs
Information from multiple data sources including Federal databases,
simulations and other models have been combined to create an
infrastructure optimization strategy for electrified transportation
(Figure 3).
Figure 3. Data sources and structure of OR-AGENT for optimization
of hydrogen refueling stations for commercial vehicles
The following data flows will be discussed in this section:
Freight Flow Information How freight moves along a route
defined by an origin and destination
Traffic and Weight Data Distribution of heavy truck traffic
along major corridors and the vehicle class and weight
Road grade and speed limit data Elevation/grade and speed
limit along major road corridors
Vehicle & Power Train Simulation Simulation of vehicle and
powertrain dynamics to determine fuel economy for segments
along the given route
Current Refueling Infrastructure Location and demand
distribution of potential refueling locations
New Infrastructure Economics Capital cost of new
infrastructure deployment at a refueling station
Infrastructure Optimization Cost optimization for refueling
locations based on the previous data inputs
A. Freight Flow Information
FAF highway network was utilized for truck routing purposes [25]. To
speed up truck routing, a network simplification process was first
introduced to consolidate the network and to reduce the number of total
highway links without losing information. In the process, for any two
Inbound
Outbound
Sea / Inland
waterways
Rail
Diesel fuel
Public access D.C. access
Diesel powertrains
Fuel refinery
Port/term
authority
Freight
Operations
Inbound
Outbound
Electricity fuel
Port/term/ware
house authority Public access D.C. access
FCEV powertrains
Power plant
Vehicle arch
Refueling arch
Grid energy arch
Freight
Sea / Inland
waterways
Rail
New energy sources
Operations
RC/DC/FC
Freight flow
information (FAF)
Traffic count and
WIM data
OD, Truck type,
weight, volume
count
Vehicle /
powertrain
simulation
Road grade /
speed limit data
Current refueling
infrastructure
New fueling
infrastructure
economics
Infrastructure
optimizer
OR-AGENT first phase construct
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adjacent links , , if (i) no additional truck links are connected
to the junction of the two links, denoted by node , and (ii) the two
links have the same speed limit, then the two adjacent links can be
consolidated into one link connecting node and : . A simple
network example is shown in Figure 4(a). Green dots are the vertices
of each road link before simplification while red circles represent the
vertices after simplification. The speed limit of each link is marked in
the figure. In the example,  and  cannot be consolidated
because there is another link  that connect to node .  and 
cannot be consolidated because the two links have different speed
limits.  and  , on the other hand, can be merged into one link
 given both conditions are satisfied. Figure 4(b) shows a portion
of the simplified FAF4 network. Similarly, green dots are the vertices
of each road link in the FAF4 network. Red circles represent the
vertices after simplification.
Figure 4. (a) Network simplification example, (b) FAF4 network
vertices vs simplified FAF4 network vertices
Truck routing: It was assumed that all trucks will choose the shortest
path between Origin (O) and Destination (D). There is a total of 132
origin FAF zones and 132 destination FAF zones in the FAF4 network.
All truck movements were assumed to start from the centroid of the
origin region and end at the centroid of the destination region. The
same assumptions were adopted in previous studies [26]. The shortest
path from 132 origin zones to 132 destination zones was obtained. All
paths that traverse the I-75 corridor were then identified. Figure 5
shows an example of the resulting shortest path from the Detroit-
Warren-Ann Arbor area to the Birmingham-Hoover-Talladega area.
The shortest path (green lines) uses the I-75 corridor (black lines) from
node E1 to node E2.
Figure 5. Shortest path from Detroit-Warren-Ann Arbor area to
Birmingham-Hoover-Talladega area
Based on the routing results, each route from Origin to Destination is
divided into three segments: (i) the segment from a FAF origin to the
I-75 corridor entrance (e.g., O to E1 in Figure 5); (ii) The segment from
the I-75 corridor entrance to the I-75 corridor exit (e.g., E1 to E2 in
Figure 5); and (iii) the segment from the I-75 corridor exit to a
destination (e.g., E2 to D in Figure 5). Note that a truck may leave the
I-75 corridor for a bypass and reenter the same corridor again before
reaching the destination. In these cases, there are more than three
segments. The resulting O-D, and routed distance for each segment
are the primary input data for truck hydrogen fuel consumption
simulation.
Figure 6. Location of Origin and Destinations considered for Heavy
Truck travel along I-75
The daily average flow of heavy truck freight from the Freight
Analysis Framework (FAF) was determined using the procedure
described by Uddin [18]. Using the FAF network centroids for origin
and destination, a routed distance to I-75 was calculated to determine
how far a heavy truck would need to travel before reaching I-75. For
the purposes of this study, only origin and destinations within 500
miles of I-75 were considered to ensure that the vehicle would be able
to reach a refueling station before running out of fuel. The maximum
routed distance traveled off I-75 was 499.4 miles and the maximum
distance traveled on I-75 was 717 miles. Figure 6 shows the candidate
origins and destinations used for the I-75 infrastructure optimization.
In addition to the distance traveled from origin to I-75 and from I-75
to destination, the distance traveled on I-75 was also calculated. Figure
7 shows the total daily distribution for vehicle trip length with many
of the vehicles having a daily trip length of less than 600 miles, which
aligns well with Federal Motor Carrier Safety Administration
(FMCSA) hours of service (HOS) regulations [27] allowing, in most
cases, allowing a maximum of 11 hours of daily driving. Trips over
600 miles may be split over multiple days of travel.
Page 4 of 21
Figure 7. Distribution of Total Trip Length from Origin to Destination
B. Traffic and Weight Data
Vehicle class data for this study is represented by the FHWA notation
which is based off vehicle configuration rather than weight (see Figure
8). Vehicle weight and class data for the previously generated O-D
pathways was obtained from various data sources, such as the FAF
Network tonnage, Travel Monitoring Analysis System (TMAS)
weigh-in-motion (WIM) data [26]. Using distributions of weight for
the vehicle class and location (example in Figure 9) a Gaussian
Mixture Model was used to define three weights for each vehicle class
(light, medium and heavy loaded). This info will be used to simulate
vehicle fuel efficiency for a range of weights.
Figure 8. FHWA Heavy Vehicle Classification. Data taken from Ref.
[28]
Page 5 of 21
Figure 9. Sample Monthly Distribution of Weight Data at a Florida WIM station for Class 12 trucks
The monthly averaged weight distribution for Class 9-Class 13
heavy trucks is shown below in Figure 10, with 90% of the population
for Class 9,11 and 12 being less than 60,000 lbs. and less than 85,000
lbs. for Class 10 and 11.
Figure 10. FHWA Vehicle Class Weight Distribution
The volume of traffic along the route defined by any origin and
destination pair, was calculated from FAF Network data. The daily
average truck volumes used in this research are modified by an
adoption rate described by the annual percentage of sale requirements
of CARB [1,5] (Figure 11), with an upper limit of 45% of the total HD
truck population. CARB’s Advanced Clean Trucks (ACT) regulation
requires manufacturers to sell increasing percentages of zero-emission
trucks and is expected to further reduce the lifecycle emission of
greenhouse gases and eliminate tailpipe emissions of air pollutants
[1,5]. The ACT rule requires the sale of zero-emission or near zero-
emission HD Trucks starting with the manufacturer-designated MY
2024 (see Figure 11). Sales requirements are defined separately for
three vehicle groups: Class 2b-3 trucks and vans, Class 4-8 rigid
trucks, and Class 7-8 tractor trucks [1,5]. The regulation is structured
as a credit and deficit accounting system. A manufacturer accrues
deficits based on the total volume of on-road HD truck sales within
California in a given model year. These deficits must be offset with
credits generated by the sale of zero- or near zero-emission vehicles
(ZEVs/NZEVs) [1,5]. This adoption rate value was used to modify the
daily truck volume, linearly, to determine the total amount of trucks
that would be using hydrogen as percentage of the total population of
trucks on I-75.
Page 6 of 21
Figure 11. Adoption Rate of Vehicles by model year. Data taken from
Ref. [2]
C. Road grade and speed limit data
Road grade and vehicle road speed data are critical to assess the fuel
consumption, and consequently, the refueling requirements along the
I-75 corridor. Several data sources are combined to characterize this
roadway for vehicle operations. Specifically, the Freight Analysis
Framework 4 database is used to identify the GPS latitude and
longitude coordinates of the I-75 corridor. All road elevation (grade)
and speed limits are extracted from a higher accuracy, Nokia HERE
database [29] at each reference GPS latitude and longitude coordinate.
This process is used to leverage the preprocessing conducted by the
FAF4 tool on GPS latitude and longitude coordinates associated with
specific road names. In parallel, commercial tools such as the Nokia
HERE database provide high accuracy assessments of elevation and
road speed limits for a given GPS latitude and longitude coordinate.
For this phase of the OR-AGENT framework, road speed limits are
used as the vehicle speed targets (see Figure 12). Future manifestations
of this approach will also leverage the actual road traffic flow rates at
a given location, time, and date, to obtain a more representative real-
world operating state for the vehicles. This will provide a real-world
assessment of traffic and weather conditions.
(a) I-75 corridor (black) indicated among the entire U.S.
interstate road system (blue)
(b) I-75 elevation and road speed limits
Figure 12. Characterizing the road grade and speed limits along I-
75. Data taken from Ref. [25,29]
D. Vehicle & Powertrain Simulation
Fuel economy for heavy trucks was calculated using a 1-D FCEV
powertrain vehicle model as described by [16] with a range of fuel cell
sizes to represent different vehicle configurations (Figure 14). The
following equations from Sujan are the basis for the power calculations
used for fuel economy in this paper.
(a) Vehicle non-elastic 1-D longitudinal dynamics model
(b) Wheel-tire-surface 1-D longitudinal model
Figure 13. Modeling the vehicle and road dynamics. Data taken
from Ref. [16]
0%
10%
20%
30%
40%
50%
60%
70%
80%
2022 2024 2026 2028 2030 2032 2034 2036
ANNUAL PERCENTAGE SALES REQS.
MODEL YEAR
CARB - Advanced Clean Truck Regulation
Class 2b-3: pickup trucks and vans
Class 4-8: non-tractor trucks
Class 7-8: tractor trucks
Paero
Paccel
Pwhl drag
Pgravity mg 20% Mg
40% Mg
40% Mg
q
Fz=mg
R
q
Ffr
Page 7 of 21
(1)
󰇗   (2)
 󰇛󰇜 󰆒 󰇛󰇜 (3)
󰇛󰇜
(4)
To simplify optimization calculations, an average fuel economy was
calculated for 34, approximately 50-mile, segments along I-75 (Figure
15) for Class 9-Class 12 vehicles with five weights each (Table 1).
Figure 14. 1-D FCEV powertrain vehicle model
Figure 15. I-75 Segments for Fuel Economy Averages
Table 1. Vehicle Weights for Fuel Economy Simulation
Figure 16 and Figure 17 capture the powertrain recommendations
motivated by the CapEx and FuelEx minimization while also
attempting to minimize product proliferation through inspection
(valuable to both developers and end-users). These assessments with
additional details were made previously [16]. In these tables energy
capacity options of both a generic Li-ion NMC (Nickel Manganese
Cobalt oxide representing high energy battery chemistries) and LTO
(Lithium Titanate representing high power battery chemistries)
batteries is provided [16,Error! Reference source not found.].
Characterizing the impact of battery chemistry is a complex problem
and impacts the architectures associated with electrified powertrains
including hybrid electric, battery electric, range extended electric, and
fuel cell electric vehicles. Several studies have been and will continue
to be conducted to explore battery characterization [16,Error!
Reference source not found.,30,31,32,33,34,35]. Our previous
studies have focused on a reduced order model on life, cost, power,
and packaging, with the key results being used here [16]. The TCO and
packaging studies conducted previously [16] marginally favor LTO
over NMC battery chemistry architectures. It is important to state that
significant development continues in the battery domain that will
necessitate closer examination of the wider range of chemistry options
that continue to be introduced (including gaps that currently exist in
real long term durability assessments over real world operating
scenarios). The range for both the fuel usage and the battery sizes is a
result of the two different powersplit control algorithmsload
following and energy minimization [16]. Figure 16 and Figure 17
summarize MY2020 and MY2030 Class 8 vehicle applications, but
data has been assessed for the MY2040 specified vehicles. The focus
of our work will use the architecture described by a vehicle architecture
that represents a mature technology market [16]. For the purposes of
this study, vehicles were assumed to have a 330-kW fuel cell (in
addition to the long haul parameters listed in Figure 16 and Figure 17),
and the resulting fuel economies, in kilograms of hydrogen consumed
per mile, are shown for model year 2020 and 2030 tractors in Figure
18 and Figure 19, respectively.
Figure 16. 2020 Architecture parameters
=
u
+ + + +
+
+
+
+
+ + +
FHWA Class
Vehicle Weight (lbs)
Page 8 of 21
Figure 17. 2030 Architecture parameters
Figure 18. MY 2020 direction averaged fuel economies for 330 kW FC Vehicle (kg/mile)
Figure 19. MY 2030 direction averaged fuel economies for 330 kW FC Vehicle (kg/mile)
Fuel economy was calculated for both the north-to-south and
south-to-north directions on I-75 using real world road grade and road speed limit for each segment (as described previously). Figure 20
shows the averaged directional fuel economy of the 90th percentile
27,558 lb 36,817 lb 50,045 lb 68,784 l b 77,162 lb 80,028 lb 32,628 lb 44,533 lb 68,343 lb 91,051 lb 116,183 lb130,293 lb 33,069 lb 47,620 lb 57,541 lb 65,698 lb 72,312 lb 75,839 lb 35,274 lb 48,061 lb 58,863 lb 67,461 lb 74,075 lb 78,044 lb 40,124 lb 55,997 lb 106,042 lb133,600 lb150,796 l b 158,292 lb
1 10.39 9. 38 8.52 7.28 6.71 6.65 9.80 8.80 7.24 6.21 5.25 4.94 8.67 7.63 7.02 6.69 6.45 6.22 8.05 7.30 6.78 6.46 6.10 6.01 7.51 6.70 4.95 4.36 4.06 3.97
2 8.79 8.15 7.28 6.50 6.16 6.05 8.31 7.63 6.51 5.67 5.04 4.65 7.20 6.57 6.15 5.84 5.64 5.59 6.88 6.28 5.95 5.64 5.45 5.29 6.32 5.79 4.52 4.06 3.75 3.67
3 8.69 8.06 7.30 6.41 6.11 5.96 8.26 7.61 6.38 5.65 5.00 4.70 7.18 6.51 6.12 5.82 5.66 5.56 6.79 6.26 5.89 5.59 5.45 5.36 6.32 5.71 4.59 4.09 3.93 3.81
4 8.77 8.16 7.33 6.48 6.12 6.01 8.44 7.63 6.47 5.66 5.02 4.78 7.29 6.61 6.12 5.87 5.71 5.58 6.82 6.27 5.97 5.63 5.42 5.32 6.39 5.80 4.57 4.05 3.87 3.71
5 9.18 8.59 7.70 6.79 6.39 6.33 8.87 8.07 6.78 5.85 5.20 4.77 7.61 6.85 6.44 6.16 5.90 5.78 7.22 6.59 6.14 5.87 5.62 5.54 6.68 6.06 4.61 3.96 3.70 3.56
6 8.78 8.16 7.45 6.49 6.16 6.06 8.40 7.69 6.53 5.69 4.96 4.63 7.28 6.55 6.22 5.89 5.70 5.58 6.85 6.31 5.94 5.64 5.44 5.26 6.38 5.75 4.44 3.88 3.56 3.51
7 9.00 8.39 7.48 6.55 6.29 6.10 8.56 7.80 6.53 5.69 5.05 4.67 7.40 6.79 6.38 6.00 5.77 5.72 7.05 6.50 6.11 5.74 5.52 5.41 6.53 5.94 4.61 4.06 3.78 3.67
8 9.10 8.40 7.51 6.60 6.26 6.07 8.63 7.76 6.59 5.70 4.94 4.64 7.52 6.72 6.26 6.00 5.69 5.59 7.06 6.46 6.03 5.70 5.52 5.40 6.60 5.89 4.48 3.89 3.59 3.52
9 9.60 8.85 7.96 6.95 6.59 6.45 9.22 8.35 6.92 6.02 5.22 4.86 8.06 7.16 6.72 6.36 6.07 5.98 7.52 6.87 6.43 6.10 5.85 5.69 7.04 6.29 4.77 4.14 3.80 3.68
10 9.67 8.92 8.19 7.04 6.68 6.56 9.32 8.45 7.08 6.14 5.30 4.93 7.99 7.23 6.79 6.42 6.12 6.08 7.60 6.93 6.46 6.10 5.90 5.81 7.09 6.34 4.82 4.21 3.88 3.76
11 9.88 9.17 8.22 7.15 6.70 6.52 9.52 8.54 7.07 6.11 5.33 4.92 8.18 7.37 6.84 6.46 6.23 6.11 7.78 7.07 6.61 6.23 5.98 5.82 7.28 6.45 4.93 4.28 3.96 3.81
12 9.73 8.96 7.95 6.88 6.47 6.33 9.27 8.41 6.89 5.91 5.17 4.84 8.16 7.14 6.67 6.35 6.11 5.96 7.69 6.95 6.44 6.13 5.90 5.69 7.15 6.38 4.89 4.39 4.11 4.02
13 8.44 7.92 7.07 6.25 5.93 5.83 8.05 7.35 6.28 5.52 4.91 4.57 6.93 6.34 5.93 5.69 5.47 5.37 6.55 6.05 5.74 5.45 5.25 5.18 6.11 5.62 4.44 3.99 3.74 3.71
14 8.27 7.74 7.00 6.15 5.81 5.75 8.06 7.24 6.16 5.44 4.86 4.55 6.86 6.25 5.87 5.63 5.40 5.32 6.50 5.99 5.68 5.41 5.21 5.10 6.04 5.57 4.41 3.97 3.72 3.62
15 8.35 7.70 7.01 6.33 6.11 6.07 7.89 7.31 6.33 5.74 5.12 4.83 6.87 6.33 6.05 5.82 5.66 5.59 6.50 6.14 5.84 5.60 5.44 5.42 6.18 5.73 4.72 4.33 4.17 4.01
16 8.69 8.02 7.21 6.66 6.47 6.47 8.34 7.48 6.64 6.10 5.59 5.27 7.16 6.60 6.32 6.17 6.01 6.00 6.86 6.41 6.16 5.95 5.81 5.86 6.47 6.01 5.27 4.79 4.60 4.52
17 9.60 8.75 7.73 6.67 6.41 6.31 9.01 8.07 6.67 5.96 5.35 5.04 8.02 7.01 6.56 6.26 6.01 5.90 7.46 6.82 6.29 6.02 5.85 5.73 6.98 6.27 4.99 4.54 4.33 4.25
18 9.51 8.81 7.84 6.70 6.41 6.27 9.17 8.15 6.79 5.83 5.12 4.73 7.89 7.05 6.55 6.23 5.94 5.84 7.44 6.76 6.24 5.94 5.75 5.60 6.98 6.20 4.69 4.15 3.89 3.79
19 10.62 9. 63 8.52 7.38 7.02 6.84 10.02 8.98 7.37 6.40 5.61 5.26 8.75 7.82 7.24 6.95 6.59 6.51 8.29 7.55 6.94 6.65 6.40 6.29 7.77 6.90 5.37 4.82 4.47 4.38
20 9.34 8.55 7.63 6.71 6.37 6.25 8.93 7.97 6.70 5.85 5.24 4.95 7.80 6.89 6.47 6.16 5.94 5.90 7.27 6.65 6.26 5.89 5.68 5.59 6.82 6.16 4.87 4.41 4.14 4.06
21 8.69 8.02 7.14 6.20 5.93 5.73 8.39 7.46 6.20 5.42 4.77 4.44 7.25 6.46 6.05 5.78 5.57 5.44 6.84 6.24 5.80 5.52 5.32 5.24 6.38 5.77 4.44 3.96 3.74 3.57
22 11.82 10.69 9.30 7.96 7.46 7.30 11.16 9. 87 7.94 6.81 5.94 5.46 9. 81 8.58 7.85 7.42 7.04 6.88 9.27 8.30 7.53 7.16 6.76 6.73 8.66 7.58 5.59 4.97 4.61 4.52
23 12.55 11.28 9.79 8.32 7.90 7.66 11.74 10.49 8.42 7.10 6.06 5.65 10.56 9.08 8.35 7.87 7.46 7.33 9.93 8.74 8.04 7.49 7.19 6.92 9.17 7.97 5.79 5.07 4.71 4.54
24 11.93 10.96 9.70 8.37 7.80 7.61 11.42 10.14 8.30 7.07 6.06 5.63 9.90 8.89 8.11 7.74 7.32 7.14 9.36 8.55 7.85 7.34 7.07 6.87 8.75 7.82 5.72 4.92 4.55 4.41
25 8.75 8.09 7.29 6.48 6.09 6.03 8.30 7.57 6.48 5.63 4.90 4.57 7.21 6.60 6.18 5.86 5.62 5.47 6.85 6.23 5.86 5.55 5.37 5.22 6.30 5.69 4.38 3.85 3.49 3.39
26 10.20 9. 36 8.34 7.24 6.86 6.61 9.75 8.77 7.28 6.26 5.36 4.98 8.44 7.54 7.05 6.67 6.41 6.20 8.05 7.21 6.81 6.33 6.14 5.97 7.37 6.68 5.01 4.35 4.02 3.86
27 11.43 10.34 9.22 7.81 7.31 7.21 10.84 9. 61 7.73 6.59 5.72 5.32 9. 49 8.40 7.64 7.19 6.90 6.75 8.92 7.99 7.40 6.93 6.67 6.42 8.29 7.41 5.38 4.72 4.38 4.26
28 12.65 11.67 10.23 8.68 8.22 7.99 12.13 10.74 8.78 7.29 6.29 5.79 10.70 9.40 8.59 8.14 7.76 7.63 9.96 9.02 8.27 7.79 7.40 7.16 9. 31 8.21 5.97 5.15 4.73 4.64
29 11.13 10.16 8.96 7.82 7.36 7.17 10.65 9. 53 7.81 6.64 5.75 5.36 9. 31 8.30 7.69 7.19 6.90 6.68 8.81 7.97 7.32 6.85 6.63 6.46 8.16 7.21 5.36 4.69 4.34 4.21
30 9.35 8.61 7.72 6.70 6.37 6.17 8.91 7.97 6.74 5.83 5.00 4.63 7.71 6.91 6.46 6.10 5.89 5.73 7.27 6.65 6.17 5.89 5.56 5.54 6.74 6.09 4.56 3.95 3.64 3.48
31 8.91 8.22 7.52 6.56 6.16 6.07 8.56 7.68 6.61 5.71 4.92 4.58 7.36 6.67 6.22 5.93 5.71 5.56 6.91 6.32 5.98 5.66 5.45 5.30 6.42 5.86 4.44 3.88 3.54 3.42
32 8.56 7.84 7.14 6.42 5.96 5.90 8.19 7.50 6.35 5.54 4.84 4.48 7.09 6.41 6.02 5.70 5.49 5.37 6.69 6.15 5.77 5.45 5.24 5.21 6.22 5.66 4.26 3.70 3.40 3.25
33 8.53 7.89 7.17 6.38 6.05 5.95 8.12 7.48 6.44 5.59 4.86 4.51 7.03 6.44 6.04 5.79 5.53 5.45 6.65 6.17 5.75 5.48 5.27 5.13 6.21 5.69 4.28 3.72 3.39 3.22
34 8.91 8.30 7.55 6.60 6.24 6.14 8.71 7.78 6.57 5.69 5.01 4.67 7.45 6.73 6.32 6.01 5.79 5.63 7.05 6.50 6.00 5.68 5.50 5.37 6.57 5.90 4.47 3.84 3.55 3.43
Class 9
Class 10
Class 11
Class 12
Class 13
27,558 lb 36,817 lb 50,045 lb 68,784 l b 77,162 lb 80,028 lb 32,628 lb 44,533 lb 68,343 lb 91,051 lb 116,183 lb130,293 lb 33,069 lb 47,620 lb 57,541 lb 65,698 lb 72,312 lb 75,839 lb 35,274 lb 48,061 lb 58,863 lb 67,461 lb 74,075 lb 78,044 lb 40,124 lb 55,997 lb 106,042 lb133,600 lb150,796 l b 158,292 lb
1 12.51 11.42 10.13 8.68 8.17 7.95 11.77 10.45 8.74 7.39 6.29 5.85 10.43 9.14 8.41 7.81 7.57 7.46 9.71 8.76 7.93 7.62 7.22 7.09 9. 04 7.94 5.81 5.13 4.77 4.62
2 10.71 9. 98 8.93 7.78 7.45 7.40 10.37 9.38 7.93 6.88 6.06 5.64 8.83 7.82 7.37 7.01 6.84 6.70 8.13 7.54 7.11 6.75 6.49 6.40 7.62 6.83 5.40 4.83 4.52 4.35
3 10.82 9. 81 8.83 7.70 7.35 7.15 10.16 9.28 7.82 6.75 5.96 5.60 8.67 7.84 7.34 6.97 6.68 6.56 8.14 7.47 7.03 6.62 6.37 6.28 7.51 6.85 5.35 4.87 4.55 4.45
4 10.86 10.13 9.02 7.90 7.50 7.41 10.45 9. 49 7.93 6.88 6.04 5.70 8. 76 7.89 7.43 7.12 6.81 6.71 8.22 7.49 7.06 6.77 6.54 6.41 7.70 6.92 5.42 4.88 4.62 4.52
5 11.41 10.60 9.42 8.35 7.93 7.84 10.85 10.00 8.41 7.28 6.35 5.92 9.23 8.40 7.89 7.46 7.20 7.01 8.62 7.97 7.46 7.13 6.78 6.72 8.05 7.37 5.65 4.98 4.65 4.45
6 10.89 10.07 9.11 7.93 7.58 7.42 10.52 9. 53 7.96 6.94 6.07 5.63 8. 82 7.94 7.51 7.12 6.83 6.69 8.26 7.68 7.18 6.77 6.48 6.38 7.66 6.98 5.42 4.79 4.46 4.27
7 11.16 10.19 9.20 7.95 7.54 7.40 10.61 9. 60 8.06 6.97 6.09 5.62 9. 03 8.18 7.53 7.18 6.94 6.85 8.50 7.79 7.24 6.93 6.65 6.49 7.77 7.07 5.47 4.88 4.56 4.40
8 11.13 10.28 9.30 8.03 7.59 7.37 10.61 9. 63 8.00 6.88 6.06 5.61 9. 09 8.10 7.57 7.16 6.91 6.70 8.48 7.81 7.27 6.82 6.63 6.43 7.91 7.11 5.37 4.73 4.37 4.24
9 11.81 10.85 9.78 8.43 8.03 7.88 11.39 10.23 8.54 7.33 6.36 5.92 9.67 8.65 8.05 7.72 7.39 7.17 9.02 8.23 7.64 7.31 7.05 6.83 8.41 7.50 5.74 5.03 4.63 4.52
10 12.06 11.14 9.95 8.74 8.16 8.08 11.55 10.51 8.75 7.53 6.55 6.07 9.78 8.73 8.22 7.80 7.49 7.41 9.22 8.43 7.85 7.40 7.09 6.98 8.49 7.68 5.84 5.12 4.74 4.61
11 12.11 11.24 10.06 8.67 8.14 8.06 11.62 10.53 8.74 7.47 6.38 5.99 9.86 8.85 8.26 7.84 7.55 7.36 9.23 8.59 7.86 7.46 7.15 6.93 8.67 7.80 5.85 5.18 4.79 4.62
12 11.86 10.72 9.44 8.10 7.57 7.45 11.21 9. 86 8.09 6.89 6.00 5.60 9. 70 8.52 7.88 7.52 7.13 6.96 9.00 8.21 7.56 7.14 6.86 6.67 8.44 7.49 5.60 4.99 4.70 4.62
13 10.46 9. 63 8.68 7.47 7.12 7.00 9.97 8.96 7.54 6.59 5.78 5.45 8.42 7.58 7.09 6.80 6.48 6.38 7.86 7.24 6.82 6.49 6.26 6.07 7.36 6.64 5.27 4.71 4.44 4.31
14 10.29 9. 47 8.35 7.43 6.93 6.87 9.88 8.85 7.42 6.51 5.66 5.34 8.35 7.46 7.01 6.66 6.44 6.26 7.85 7.09 6.73 6.46 6.16 6.04 7.23 6.57 5.15 4.74 4.40 4.24
15 10.19 9. 27 8.41 7.49 7.20 7.11 9.60 8.70 7.49 6.69 5.94 5.55 8.21 7.44 7.15 6.81 6.67 6.58 7.80 7.19 6.81 6.56 6.32 6.30 7.19 6.72 5.49 4.92 4.68 4.57
16 10.65 9. 53 8.51 7.65 7.51 7.35 9.98 8.92 7.66 7.06 6.21 5.90 8.65 7.67 7.31 7.13 6.85 6.82 8.16 7.42 7.08 6.80 6.71 6.68 7.54 6.89 5.87 5.38 5.15 4.99
17 11.69 10.58 9.26 7.88 7.44 7.35 11.05 9. 62 7.90 6.85 6.08 5.69 9. 52 8.29 7.69 7.30 7.04 6.85 8.92 8.05 7.39 6.98 6.70 6.65 8.15 7.31 5.68 5.12 4.84 4.75
18 11.71 10.57 9.53 8.08 7.53 7.40 11.15 9. 89 8.11 6.95 6.02 5.60 9. 49 8.45 7.88 7.37 7.12 6.93 8.89 8.18 7.46 7.10 6.76 6.67 8.24 7.29 5.53 4.87 4.55 4.50
19 12.76 11.57 10.25 8.75 8.22 8.02 12.07 10.67 8.79 7.47 6.48 6.06 10.44 9.22 8.52 8.02 7.72 7.53 9.90 8.94 8.22 7.72 7.44 7.25 9. 14 8.17 6.14 5.52 5.16 5.00
20 11.46 10.44 9.22 7.96 7.53 7.38 10.73 9. 74 8.01 6.88 6.12 5.78 9. 28 8.23 7.70 7.23 7.03 6.81 8.70 7.91 7.31 6.99 6.71 6.53 8.11 7.21 5.67 5.10 4.79 4.69
21 10.63 9. 72 8.51 7.34 6.91 6.84 10.18 9.01 7.35 6.35 5.52 5.13 8.79 7.67 7.17 6.71 6.47 6.30 8.16 7.33 6.78 6.41 6.21 6.08 7.52 6.73 5.14 4.55 4.26 4.13
22 14.16 12.79 11.21 9.43 8.80 8.64 13.39 11.82 9.35 7.97 6.93 6.40 11.59 10. 12 9.36 8.79 8.32 8.18 10.98 9.79 8.92 8.40 8.03 7.79 10.11 8.88 6.48 5.73 5.34 5.16
23 15.00 13.56 11.84 9.91 9.22 9.18 14.07 12.45 10.10 8.36 7.18 6. 55 12.48 10.78 9.79 9.25 8.81 8.59 11.72 10.40 9.52 8.94 8. 38 8.16 10.76 9.42 6.81 5.82 5.41 5.26
24 14.66 13.38 11.74 10.03 9.40 9.12 13.82 12.19 9.93 8.61 7.32 6.70 12.00 10.55 9.81 9.28 8.76 8.55 11.28 10.06 9.43 8.80 8.35 8.24 10.49 9.24 6.78 5.92 5.46 5. 26
25 10.82 9.96 9.06 7.99 7.53 7.39 10.38 9.51 7.91 6.90 6.02 5.63 8.78 7.88 7.45 7.09 6.79 6.73 8.24 7.58 7.03 6.75 6.48 6.36 7.60 6.88 5.33 4.72 4.37 4.22
26 12.44 11.61 10.22 8.95 8.39 8.16 11.95 10.69 8.93 7.58 6.50 5.98 10.17 9.11 8.47 8.04 7.69 7.47 9.49 8.71 8.06 7.64 7.35 7.12 8.96 7.97 6.00 5.16 4.83 4.68
27 13.83 12.54 11.11 9.34 8.70 8.56 13.04 11.69 9.35 8.01 6.82 6.32 11.32 9.91 9.22 8.68 8.19 8.02 10.59 9.54 8.83 8.31 7.95 7.71 9.87 8.64 6.38 5.56 5.15 5. 00
28 15.29 14.05 12.33 10.63 9.84 9.77 14.68 13.05 10.62 9.07 7.68 7.05 12.71 11.22 10.36 9.76 9.31 9.09 11.87 10.69 9.87 9.35 8.89 8.71 10.97 9.78 7.12 6.13 5. 77 5.54
29 13.54 12.34 10.97 9.47 8.84 8.58 12.90 11.64 9.51 8.06 6.96 6.43 11.17 9.77 9.17 8.68 8.31 8.07 10.39 9.44 8.80 8.23 7.89 7.70 9.71 8.70 6.37 5.58 5.18 5. 04
30 11.51 10.41 9.36 8.24 7.70 7.61 10.99 9.82 8.30 7.07 6.10 5.67 9.36 8.45 7.76 7.42 7.10 6.92 8.74 8.01 7.44 7.04 6.67 6.63 8.08 7.31 5.54 4.87 4.44 4.36
31 11.09 10.11 9.24 7.98 7.66 7.46 10.37 9.55 8.02 6.93 6.09 5.67 8.86 8.03 7.55 7.10 6.90 6.73 8.39 7.67 7.14 6.85 6.58 6.50 7.70 7.03 5.42 4.71 4.41 4.32
32 10.47 9.84 8.83 7.76 7.40 7.23 10.13 9.26 7.77 6.80 5.96 5.49 8.53 7.79 7.34 6.99 6.66 6.55 8.10 7.44 7.05 6.57 6.40 6.27 7.44 6.77 5.19 4.62 4.30 4.12
33 10.54 9.93 8.97 7.90 7.54 7.37 10.19 9.33 7.98 6.90 6.05 5.70 8.48 7.83 7.37 7.05 6.78 6.64 8.01 7.44 7.03 6.65 6.47 6.26 7.42 6.88 5.29 4.62 4.32 4.20
34 11.05 10.23 9.25 8.05 7.55 7.47 10.55 9.67 8.13 6.99 6.04 5.65 9.08 8.14 7.60 7.28 6.92 6.84 8.45 7.73 7.29 6.84 6.61 6.51 7.81 7.04 5.45 4.75 4.43 4.31
Class 9
Class 10
Class 11
Class 12
Class 13
Page 9 of 21
weight for each FHWA vehicle class using a 330-kW fuel cell. As one
would expect, the fuel economy decreases as the vehicle becomes
larger (more trailers and axles) and heavier. Due to the amount of
different origin to destination paths for the current research, fuel
economies for the trip length from an origin to I-75 and I-75 to the
origin were not explicitly calculated. To get a representative fuel
economy for each vehicle class and weight range, the average of the
34 segments on I-75 were used as the fuel economy for those segments
of road not on I-75. This is an area for future research and development
as it increases simulation and calculation time.
Figure 20. 90th percentile GCVW fuel economy for segments along
I-75 for MY2020 vehicles with 330-kW FC
Figure 21. 90th percentile GCVW fuel economy for segments along
I-75 for MY2030 vehicles with 330-kW FC
E. Current Refueling Infrastructure
The current refueling infrastructure is dominated by diesel stations
along major interstate corridors and distribution centers. Freight
typically originates from either a terminal (sea port, inland waterway
port, rail terminal or air freight terminal) and is transported by truck to
a distribution center, warehouse, factory, or other waypoint for further
processing and transport. Much of the freight movement is performed
by diesel trucks until a last mile portion of the system. Refueling can
happen at various locations depending on the carrier operations: 1) at
a private or access-controlled facility such as a port authority or
distribution center, or 2) at public access diesel stations. The fuel for
these stations is typically transported by truck to each location from a
central location, such as a pipeline. Figure 1 shows the typical
refueling infrastructure for diesel trucks.
The goal of the current model framework is to identify, characterize,
and use existing locations as candidate stations for refueling to
represent where vehicles would typically refuel. While a new station
may be readily identified and characterized by the process developed
in this paper, for the purposes of this study it is assumed that the
emerging hydrogen infrastructure will likely begin by phasing in
hydrogen fuel storage/dispensing capabilities at established
(brownfield) refueling sites as opposed to new (greenfield) sites. The
location of current diesel refueling infrastructure was obtained using
publicly available data from the Geotab Ignition [36] dashboard which
uses anonymized customer data to provide data trends. Using this
dashboard, the authors were able to filter the location data to determine
where HD trucks refuel and at what time of day to determine potential
refueling locations for hydrogen trucks. For the purposes of this study,
only refueling stations located in a State along the I-75 corridor, with
a minimum of 75% heavy truck traffic were considered (Figure 22).
This filtering ensured that the refueling stations exported were major
truck stops, where a heavy truck would likely refuel, rather than
refueling stations that may have at least one diesel dispenser.
Figure 22. Location of Refueling Locations near the I-75 corridor
from Geotab Ignition
Data elements exported from the Geotab Ignition dashboard include
the latitude and longitude of the refueling station, the percentage of
heavy truck traffic, and the hourly heavy truck demand. The hourly
demand (Figure 23) was normalized to the total heavy truck population
for the refueling station. While the Geotab data does not represent the
entire population of tractors on the roadways, it is assumed that the
hourly demand obtained is like that of the entire population for this
study.
Page 10 of 21
Figure 23. Distribution of station hourly demand for candidate stations. Each figure represents the demand for a single station along the I-75
corridor. While there are many more fueling stations along I-75, these 68 stations capture the commercial truck refueling stations.
F. New Infrastructure Economics
The capital cost of new infrastructure is critical to optimizing the
location of potential refueling stations for heavy trucks. Using the
methods defined by Liu [22] using the Heavy-Duty Refueling Station
Analysis Model (HDRSAM) [37], capital cost was calculated as a
function of daily demand (number of trucks), dispenser fill rate
(technology), number of required dispensers, and the hourly demand
for a given station. Figure 24 shows example costs calculated using
the HDRSAM model.
Figure 24. Total investment cost and Levelized cost by demand
To incorporate these results into a computational model, absent of the
HDRSAM algorithms, and without calculating every single
permutation vehicle demand, look up tables were generated for each
of dispenser technology (e.g. 1.8, 3.6 and 7.2 kg/min dispensers).
Individual values of demand, dispenser count, or truck volume that
were not explicitly in the table were interpolated between known
values to determine a reasonable cost for the station. Future work on
the model will aim to incorporate a more direct cost function to
accurately calculate the cost of a particular station.
G. Infrastructure Optimization
The optimization workflow for refueling location strategy is a
computational model developed using the previously discussed inputs
using the following steps:
Step 1: Candidate station generation Determine valid
refueling locations based on distance from I-75
Step 2: Route segment and volume generation consolidate
routes that overlap to reduce computational time
Step 3: Feasibility calculation calculate the locations of
refueling and determine how many trucks will stop daily and
how much fuel will be required
Step 4: Station Cost optimization calculate the cost of a
station meeting the minimum fueling and demand requirements
prescribed in previous steps
Step 1 Candidate Station Generation
To determine the location of stations along I-75, the distance each of
the refueling stations obtained from the Geotab Ignition dashboard
from I-75 was determined using a geohash representation. A geohash
is a convenient way of representing latitude and longitude alpha
numerically using a grid-based system [38]. A Geohash is a unique
identifier of a specific region on the Earth. The basic idea is that the
Earth is divided into regions of user-defined size and each region is
assigned a unique identifier based on its latitude and longitude, which
is called its Geohashan alpha numeric string. This string or Geohash,
will determine which of the predefined regions the point belongs to.
Thus, points within close geographical proximity will have the same
Geohash. The length of the geohash determines the accuracy to
specific location (e.g. 7 characters creates an area of approximately 0.2
square kilometers and 10 characters is approximately an area 0.7
square meters). For this study 7 characters were used for the precision
of accuracy and were considered to be a candidate location if the first
5 characters of the geohash matched a location on I-75 (24 square
kilometer area or within about 6 miles of I-75). This precision was
used because it is assumed that vehicles will be dispatched full of fuel
and not require a refuel for many miles. These candidate stations
(shown in Figure 25) represent the chromosomes in the genetic
algorithm previously discussed.
Page 11 of 21
Figure 25. 68 Candidate station locations along I-75
For some scenarios (Figure 26), multiple refueling stations could be
present at the same location (major junctions could have multiple truck
stops). In this scenario, the stations were grouped into a single location
with the demand averaged for the refueling stations and the maximum
number of dispensers allowed to increase to 20 (maximum parameter)
per station (i.e. 40 dispensers for a location with 2 stations).
Figure 26. Diagram showing grouping of common candidate
locations along I-75
The calculation of candidate stations is deterministic on the route
chosen. For this study, since the focus was on I-75, the candidate
stations were static for all iterations of the model unless parameters are
changed to allow for stations to exist farther from I-75. The genetic
algorithm will be discussed in later sections of this paper.
Step 2 Route Segment and Volume Generation
Identifying the segments along a route that vehicle will travel is
required to calculate total distance traveled on a particular segment and
the amount of fuel used on that segment. To accomplish this, every O-
D pair is assigned an “entry” and “exit” point on I-75 to calculate both
the distance traveled off I-75 and the distance traveled on I-75. For the
distance traveled off I-75, the distance is simply a calculated routed
distance. Similarly for distance traveled on I-75, the distance is a
calculated routed distance, but additional node information is
available. Thus, a list of locations that a vehicle will travel through on
its trip is calculated.
To efficiently iterate through large lists of trips, and because it is
known that many of these route’s overlap, common routes are grouped
to calculate a total volume for the given segment of I-75.
Step 3 Feasibility Calculation
To determine the daily total trucks and the amount of fuel required,
each unique route previously calculated is iterated through to
determine the total number of each vehicle class that will stop at each
refueling station and how many kilograms of hydrogen will be
required.
To calculate fuel level during a trip, and the total fuel required by a
particular refueling station, each segment of road in an O-D pair is
iterated over with the total amount of fuel required to traverse that
segment being subtracted from the previous tank level. While
iterating, if the total amount of fuel drops below a parameterized fuel
level, it will fill up at the next location. Since it is assumed as part of
this study that every vehicle starts the trip full, it is known exactly how
much fuel will be required to top off the tank.
After each O-D pair is iterated through, the result is a total number of
vehicles that will stop daily at a given station, and the total amount of
fuel required daily. If a vehicle could not make the trip because it ran
out of fuel due to a refueling station not existing on their route or
simply not having a large enough tank to make the trip, it is considered
infeasible. Each infeasible vehicle would essentially be a waste of
capital for a company and another vehicle capable of making the trip
would have to be used in its place, so a variable infeasibility cost is
applied for each truck that cannot complete the trip.
Figure 27. Refueling strategy for each O-D Pair
Step 4 Station Cost Optimization
There are stochastic operations in hourly demand share (%,
󰇝 󰇞) between stations in one area. Given the total daily fuel
demand (kg/day) for a station where the capacity is needed to be
designed, the actual demand share could be any of the possible
scenarios. With design refueling speed (kg/hour) for single fuel
dispenser, the problem is to determine the number of dispensers, , to
be installed at the station to support the total fuel demand
considering potential delays to truck drivers. As installing dispensers
is capital intense, one objective is to minimize to support the fueling
demand. On the other hand, with fewer dispensers, delays are possible
to occur when the demand temporally exceeds the supply. Another
objective is the minimize the total delay which could be costly to the
truck business. Therefore, there is a tradeoff between the infrastructure
cost and the operational cost.
There are two simple, albeit limited, methods to determine . One is
based on the average fuel demand. Given the number of operational
hours ( ) in a day, the average hourly fuel demand is .
Page 12 of 21
Then based on the average fuel demand, it can be determined:
 󰇳
󰇴 (5)
However, such design ignores the stochasticity in operations with non-
uniform distribution on . A station with this design cannot meet the
peak and could cause significantly delay to drivers.
Another way is the design the capacity based on the maximum hourly
rate, namely:
 󰇳󰇛󰇜
󰇴 (6)
A station with this design will not have any delay to trucks in all
periods but could incur significant capital cost to the station
infrastructure.
A better way is to consider the hourly patterns in all scenarios and
determine considering the cost tradeoff. A stochastic programming
model is formulated and described here with the following objective
function:
 
󰇝󰇞 (7)
Subject to the following constraints:
  (8)
    (9)
Table 2. Formulation Notation
Set
Indexed by , set of refueling demand pattern
scenarios
Parameters
Total daily fuel demand (kg)
Total daily number of trucks to refuel at the station
Design refueling speed (kg/hour) of the dispenser

Demand share (%) in time in scenario

Daily capacity cost ($/day) for a dispenser
Penalty cost on waiting and delay for refueling
($/hour/truck)

Probability share (%) of the scenario
Variable
Non-negative integer, the number of dispensers to
be installed

Actual fulfilled demand (kg) in time in scenario

Carryover remet fuel demand for next hour
󰇛 󰇜
1. Genetic algorithm (GA) overview
To solve the model optimally for the large number of permutations, a
genetic algorithm was adapted from previous research [21] to
determine which refueling stations need to be open and what type of
refueling technology is present at that location. The total number of
possible refueling scenarios is calculated using the one of following
equations:

 󰇛 󰇜 (10)
 (11)
Where N is the number of candidate stations, T is the number of
refueling technologies (e.g. 1.8 kg/min @ 350bar, 3.6 kg/min @
350bar, 7.2 kg/min @ 350bar), and S is the number of station states
(i.e., equal to T+1, where the additional state is the null state
representing the lack of hydrogen infrastructure). For the current
problem in this research, the total number of permutations would be
468 which would take a significant amount of calculation time for an
exhaustive search for the optimal configuration.
Even though station capacity can be formulated as piecewise linear
relationship, the mixed integer program is still hard to solve optimally.
We developed a genetic algorithm based heuristic method [39] to solve
the model. Generally, the genetic algorithm involves a pool of
chromosomes. Each chromosome represents one candidate solution to
the problem, and the fitness of each candidate solution is measured by
the cost objective value. Between chromosomes, the one with a lower
objective value indicates better fitness. The algorithm has an iterative
process, during which chromosomes with bad fitness are more likely
to be removed from the pool while chromosomes with good fitness
have more chances to survive and give birth to a new child. The whole
process mimics natural selection. It is generally observed that through
multiple iterations the genetic algorithm can help find near optimal or
relatively satisfactory solutions.
While the genetic algorithm served as a great estimation of the
locations of fueling infrastructure for hydrogen FCEV, future
iterations of the OR-AGENT tool will adapt dynamic programming to
find a more global solution, at the cost of additional compute time and
computational resources.
2. Implementation details
Two features are important to efficiently apply a genetic algorithm.
One is the simplicity in coding the solution with chromosomes, and the
other is to be able to easily determine fitness given the genetic
information of one chromosome. However, both features are hard to
maintain for the proposed model. First, as in Li et al.’s study [40], only
two-dimension infrastructure related decision variables, i.e., where and
when refueling stations are opened, are needed to be encoded in the
chromosome. However, this task is more challenging for this study
because the model requires another dimension on capacity-related
decisions, i.e., how many dispensers per station. That creates
challenges in coding all decision information in each chromosome.
Second, as capacity is considered for each fueling, the heuristic
approach to check path feasibility with infinity capacity [38] is not
applicable to this study. Instead, mixed integer programming sub-
models need to be solved, which makes it difficult to efficiently
determine fitness for each chromosome generated in the solution
process.
To tackle the two challenges in this complex model we made the
following assumption to simplify the FCEV fueling behavior: If an O-
D path at one stage is feasible and selected given fueling infrastructure
deployment, refueling stations along the path will have sufficient
dispensers to satisfy all O-D traffic demands along the path in the same
time stage. This assumption is already inherently built into the
proposed model, which considers only the feasibility of each O-D pair
instead of each O-D trip. This assumption is reasonable to provide
equity for all travel demand along each O-D pair.
This method simplifies the solution process for the model in the
following ways. First, it will significantly simplify the determination
of fitness of each chromosome with heuristic methods. Given the
setting of refueling stations at each time stage encoded in each
chromosome (where and when to open stations), the heuristic approach
[38,39] can be used to efficiently check path feasibility of all O-D
pairs. Following this assumption, we can determine the number of
dispensers needed for each station to satisfy all refueling demand.
Page 13 of 21
Finally, the fitness of the chromosome can be calculated using the
objective function. Second, as suggested in the first benefit, the
number of dispensers per station can be post-calculated. Therefore,
only decisions on where and when refueling stations are opened need
to be encoded in each chromosome. That simplifies the representation
of each chromosome.
3. Settings of genetic algorithms
Based on the above properties and assumptions of the problem, we
made the following settings to apply the genetic algorithm to solve the
proposed model.
3.1 Encoding of chromosome
As previously described, only decisions on where and when fueling
stations are opened need to be encoded into each chromosome. Since
each opened refueling station will remain open once it is in operation,
only the time when the refueling station is first opened needs to be
recorded. Therefore, we used a single dimension integer valued string
to represent such information. Each digit entry along the chromosome
string represents one specific candidate location. Then, the total length
of the string is |N| (the number of candidate locations). Each digit can
take non-negative integer values. When the digit takes a value of 0, it
indicates no refueling station is opened at the location throughout the
time horizon. When the digit takes a positive value of i, it indicates the
type of dispenser technology at the opened station.
Consider the simple example chromosome string “01020” to
demonstrate its meaning on refueling infrastructure planning decisions
as follows:
Five digits in the string indicate five candidate locations (|N|= 5)
for fueling stations
No fueling station is opened at candidate locations 1, 3, and 5
One fueling station is opened at candidate location 2 with 1.8
kg/min dispenser technology
Another fueling station is opened at candidate location 4 with 3.6
kg/min dispenser technology.
3.2 Fitness of chromosome string solution
The fitness of each chromosome string solution involves several sub-
steps. This is summarized as follows:
Sub-step 1: initialization that translates genetic information of the
chromosome into corresponding refueling location decisions
Sub-step 2: check feasibility and select a path for each O-D pair
in all stages
Sub-step 3: for all feasible O-D pairs determine refueling
activities based on the fuel level
Sub-step 4: for each opened fueling station determine the total
number of refueling activities and the corresponding required
number of dispensers based on the design level of
Sub-step 5: calculate the fitness of the chromosome with the
objective function described previously
3.3 Population pool
At beginning of the algorithm, we initialized a pool of chromosome
strings with a population size of N (e.g., 500). The pool is defined as
the population pool where crossover, mutation, and replacement are
applied through an iteration process.
3.4 Parent selection
For each iteration, four candidate chromosomes are randomly
selected from the population pool. The four chromosomes are
partitioned equally into two groups, and one chromosome will be
selected from each group. The chromosome with better fitness (lower
objective value) has a better chance to be selected, and the selection
probability is set to be inverse to its objective value. The final selected
two parents are defined as P1 and P2
3.5 Crossover
The crossover is then applied to the two selected parents (P1 and
P2) to give birth to a new child chromosome C. Let fP1 and fP2 be the
objective values of the parents P1 and P2, respectively, and let i
indexes digits of each chromosome, I = 1,…,|N|. Then the chromosome
C is created as follows:
(1) if P1i = P2i , then set Ci:=P1i or P2i;
(2) otherwise, then set Ci: = P1i with probability p = fP2/(fP1+fP2), and
Ci: = P2i with probability 1 − p.
3.6 Mutation
Once a child chromosome C is created, each element Ci,i = 1,…,|N|,
has a probability (e.g., 5%) to mutate. Let t′ be a random integer value
selected among 1, …, |T| with equal probability. If the element Ci is
selected to mutate, then it has two possible ways to change depending
on the original value of Ci:
(1) if Ci = 0, then set Ci: = t′;
(2) otherwise, then set Ci: = 0 with probability of 50%, and Ci: = t′ with
probability of 50%.
3.7 Replacement
After a new individual is added to the population (e.g., a child
created with both the crossover and mutation processes), it will replace
an existing individual in the population pool. Specifically, n (e.g., n =
3) candidate individuals are randomly selected from the pool, and the
one with the highest objective cost is removed from the pool. The
entire genetic algorithm for the problem can be demonstrated using the
flow logic and simple example as seen in Figure 28:
(a) GA flow logic and convergence selection
Generate Population Pool with Size N
with Chromosome for each Candidate
Station
Conduct Parent Selection Among
Population Pool Based on Individual
Objective Cost
Apply Crossover with Parents and
Yield New Child
Apply Mutation to Child
Add Child to Population
Stop Condition
Met?
Print Optimal Result
Remove Random Individual From
Population Pool
Calculate Child Objective Cost
Lowest
Cost?
New Optimal Result
Yes
Yes
Page 14 of 21
(b) Simple example of chromosome strings and their
modifications through various steps of the GA
Figure 28. Flow logic and behavior of the GA
The final solution is the best chromosome achieved with the lowest
objective value from the population. Figure 29 shows the number of
iterations required to converge on an optimal solution using both the
genetic algorithm and iteration process. As shown, many of the
solutions converge to near their optimal values within 10,000 iterations
which depending on computational power requires about 2-3 minutes
per adoption rate.
Figure 29. Generations to converge to optimal objective cost
The number of generations for this solution is similar across adoption
rates mainly due to the unconstrained locations for implementation of
hydrogen refueling stations. In an unconstrained paper, we would
expect fewer iterations as the number of potential station locations is
reduced by the number of stations in the previous generation.
Discussion of Results
For the current study, assumptions were made to reduce the
complexity of the current model framework and to demonstrate the
feasibility of such a model for infrastructure optimization. The
assumptions for the results in this section are as follows:
Table 3. Current Assumptions for Result Generation
Current Assumption
Future Adaptation in Model
All vehicles have a full tank
level prior to dispatch. This
also assumes that a vehicle
can arrive at its destination
with less than full tank
because it will be refueled
prior to being dispatched
again
Additional fueling stations and
infrastructure can be added along
an O-D pair to accommodate
refueling off I-75 (or other
highway system)
All vehicles were assumed to
have a 330 kW FC for this
study. Future iterations of
OR-AGENT will allow for
variable FC sizing depending
on vehicle classification.
Allow for a percentage of
vehicles in the population to have
varying size of FC based on O-D
and vehicle class
Tank sizes were assumed to
be 100 kg for Class 9-11 and
150 kg for Class 12-13.
Realistically, a manufacturer
would not create a different
tank size for each vehicle
unless manufactured at scale.
However, without a current
co-optimization for distance
and fuel tank size this
assumption is being made.
Refine the tank size based on real
world requirements. This can
also be co-optimized based on O-
D and vehicle class
Stations can only have a
single dispenser technology
and all hardware is assumed
to be new construction (not
upgraded)
Allow for a new cost model to
account for multiple dispensing
technologies at a station and
available upgrade paths for
dispensers and other refueling
infrastructure
Fuel economy off I-75 is
assumed to be the average of
the fuel economy on I-75.
This assumption allows for
the study to not calculate FE
on every single route.
Expand the model network to
include fuel economy simulations
for routes and O-Ds off I-75
Data from Geotab is
assumed to be representative
of the entire population of
heavy vehicles
Add additional data sources to
better realize the refueling
patterns of vehicles, (i.e. how
many actually fill up “outside the
fence”) and refueling station
demand
A vehicle is assumed to cost
approximately $400,000 and
is a loss if not able to make
the trip. This is based on the
cost of a typical diesel
vehicle with appropriate
additions to be a FCEV
Allow for varying vehicle costs
based on specific architecture
Gross vehicle weight is
assumed to be constant
throughout the trip, thus fuel
economy won’t drastically
change based on weight
Allow for some variance, but
understanding that the weight will
not change significantly
throughout the trip unless a
vehicle is offloading cargo prior
to destination
Page 15 of 21
No traffic or weather data is
incorporated currently into
the fuel economy
calculations
Allow for the additional of
weather and traffic data which
will likely reduce the overall fuel
economy for the vehicles, hence
requiring more refueling
Hydrogen is plentiful at each
station to accommodate
demand. This is
incorporated into the cost
Better understand or incorporate
methods of transporting or
generating hydrogen for refueling
to calculate total cost.
For this study, an initial result was generated for a scenario where
there are no constraints on what stations can be open or what
technologies can exist at any given station, other than the technology
must be uniform (no mix of 1.8 kg/min or 3.6 kg/min dispensers at a
single location). While this result does not consider all practical facets,
it illustrates what the refueling infrastructure requirements would be if,
overnight, a certain population of vehicles were to be hydrogen. Input
parameters for this result are listed below in Table 4.
Table 4. Parameters Used for Results
Parameter
Description
Default
Value
Number of dispenser
technologies
Integer value of different
dispenser types possible
3
Dispenser flow rate
Array of flow rate in
kg/min for each dispenser
type
{1.8 3.6 7.2}
Minimum dispensers
per Station
Minimum number of
dispensers a refueling
station must have
2
Maximum dispensers
per Station
Maximum number of
dispensers a refueling
station can have
20
Remaining Fuel Limit
Fuel tank level prior to
refilling
20%
Minimum Remaining
Fuel Limit
Minimum fuel tank level
prior to refilling
5%
Fuel Tank Size
Tank size in kg
Class 9-11:
100 kg
Class 12-13:
150 kg
Infeasible Truck
Penalty
Cost of a truck not being
able to make the trip from
origin to destination
because fuel level was not
sufficient
$400,000
Technology Adoption
Rate
Percent of HD Truck
population that is using
hydrogen
User
Defined
The current primary objective of OR-AGENT is to optimize the
location of each refueling station such that the vehicle demand can be
met with the lowest possible cost. Optimization of the location of the
refueling stations based on refueling requirements is critical to reduce
costs, as opposed to building refueling stations at a set uniform location
along I-75. Figure 30 shows the optimal result generated by OR-
AGENT compared to the unoptimized scenario of every refueling
station having a minimum number of dispensers to handle demand. At
low adoption rates this illustrates infrastructure cost increases of >67%
of the unoptimized solution as compared with the optimized solution.
At high adoption rates we note cost increases of >350% of the
unoptimized solution as compared with the optimized solution. Table
5 quantitively provides a comparison of the total cost between the
optimized and non-optimized solutions. Additionally, allowing for not
only a dynamic amount of dispensers in parallel with varying dispenser
flow rates to manage demand has a large impact on total station cost.
Figure 30. Station Capital Cost
Table 5. Station Cost Optimization
The amount of required fuel for all stations, number of stations
required, and the total number of dispensers required for each
generation of adoption rate are shown in Figure 31,
Figure 32, and Figure 33, respectively. Of note, since this is an
unconstrained simulation, it was not required that a refueling station
remain open, or have hydrogen dispensers, as the adoption rate of
hydrogen vehicles increased. Due to this lack of constraint, there are
Optimized
Solution Cost
1.8 kg/min
Dispensers
Increase from
Optimized
3.8 kg/min
Dispensers
Increase from
Optimized
7.2 kg/min
Dispensers
Increase from
Optimized
5% 16,833,268 49,707,165 195.29% 28,230,278 67.71% 39,955,762 137. 36%
10% 18,806,984 57,553,235 206.02% 31,435,091 67.15% 44,185,944 134. 94%
15% 24,093,198 72,636,582 201.48% 42,781,186 77.57% 62,851,917 160. 87%
25% 29,519,634 94,448,890 219.95% 60,028,580 103.35% 82, 199,322 178.46%
35% 41,275,598 133,480,630 223.39% 92,560,844 124.25% 134,898,772 226.82%
45% 48,092,022 156,392,669 225.19% 116,846,795 142.97% 159,661,705 231.99%
100% 55,750,646 251,725,003 351.52% 266,673,109 378. 33% 372,836, 921 568.76%
Page 16 of 21
scenarios where opening a single station in a location can require
fewer dispensers at other locations or cause them to close all together.
This can be seen in the small increase in requirements for fuel and
station cost between the 5% and 10% adoption rates.
Another key finding is that small changes in the technology used
in parallel with specific refueling locations can reduce the number of
stations required and even reduce the number of dispensers required.
For example, the 45% adoption rate requires the most amount of fuel
but has the fewest number of total stations. However, this simulation
also has the largest amount of 3.6 kg/min dispensers and the only
result with a 7.2 kg/min dispenser to handle increased volume.
Figure 31. Daily average fuel requirements for each adoption rate
Figure 32. Number of stations required for each adoption rate
Figure 33. Total dispensers required for each adoption rate
Truck volume, as well as hourly demand, play a large role in where a
refueling station is located and how many dispensers are located at that
location. In the Figure 34 and
Figure 35, the locations of the refueling stations for each adoption rate
are shown with the number of dispensers at each location and the daily
truck volume at each location. There are major junctions that have
higher volume of trucks, especially near the Tennessee and Georgia
border. In part this occurs due to the confluence of several key freight
transport corridors, shipping ports, and distribution centers in this
region. This is well reflected in the need for additional refueling
infrastructure. We expect similar findings on other critical transport
corridors where high volume confluences will result in the need for
additional refueling infrastructure.
Page 17 of 21
Figure 36 shows the results of each generation of adoption rate for
number of stations, daily truck volume per station, and total daily fuel
required per station as a function of distance along I-75. Changes
between generations are highlighted. This is an unconstrained
simulation, where future studies will refine these results with critical
deployment constraints, which would better reflect how a station
grows over time when required to remain open.
Figure 34. Maps of station sizes at each location scaled to number of dispensers at each candidate site
Page 18 of 21
Figure 35. Map of truck volume at each station location
Figure 36. Results of Station size, truck demand and daily fuel requirements for multiple adoption rates (blue optimum solution, red change from
previous figure generation)
The resulting data from Figure 36 is shown in tabular form in Figure 37. Interestingly, 34 of the 68 candidate stations were never required
Page 19 of 21
to be open during the simulation, which as previously discussed is a
factor of vehicles have sufficient fuel to make their trip without refueling. This number of stations would increase as more O-D pairs
(further than 500 miles from I-75) were considered.
Figure 37. Resulting output for each adoption rate in the simulation
Diving into the results further, it became evident that the restriction of
O-D Pairs to 500 miles of travel off I-75 reduced the vehicle volume
significantly. In addition, there were many OD pairs that trip distance
was short enough that a vehicle would not be required to refuel at all
during the trip. If the assumption of a full tank prior to dispatch were
not in place, the result would be different, and could potentially require
additional stations off I-75 to be present to accommodate more
vehicles.
Conclusions
The development of a future hydrogen energy economy will require
the development of several hydrogen market and industry segments
including a hydrogen based commercial freight transportation
ecosystem. For a sustainable freight transportation ecosystem, the
supporting fueling infrastructure and the associated vehicle
powertrains making use of hydrogen fuel will need to be co-
established. This paper introduces the OR-AGENT (Optimal Regional
Architecture Generation for Electrified National Transportation) tool
developed at the Oak Ridge National Laboratory, which has been used
to optimize the hydrogen refueling infrastructure requirements on the
I-75 corridor for heavy duty fuel cell electric commercial vehicles.
This constraint-based optimization model considers existing fueling
locations, regional specific vehicle fuel economy and weight, vehicle
origin and destination, vehicle volume by class and infrastructure costs
to characterize in-mission refueling requirements for a given freight
corridor.
This paper has addressed the complexity of modeling the architecture
for the electrification of vehicles and has presented an initial unique
solution in OR-AGENT to optimize the infrastructure location and
cost. This research also demonstrates the ability to integrate different
classes of vehicles, vehicle technologies, and refueling technologies,
as well as other infrastructure requirements, into the OR-AGENT
optimization framework. The specific solution depends on many
different inputs from freight movement information, powertrain
simulations and cost models and illustrates the gaps in data currently
to create a true infrastructure strategy. While the initial results were
promising, there are still many questions on how hydrogen will be
generated at these locations (especially behind the fence at a dispatch
location), how will the components be powered, and other important
questions.
The development of OR-AGENT also makes possible the ability to co-
optimize vehicle components and infrastructure costs. Requiring a
smaller fuel cell on a vehicle, potentially allowing for more freight to
Station
Geohash
Distance
on I-75
(mi)
Pumps
Pump
Tech
(kg/min)
Average
Daily
Volume
Average
Daily
Fuel (kg)
Pumps
Pump
Tech
(kg/min)
Average
Daily
Truck
Volume
Average
Daily
Fuel (kg)
Pumps
Pump
Tech
(kg/min)
Average
Daily
Truck
Volume
Average
Daily Fuel
(kg)
Pumps
Pump
Tech
(kg/min)
Average
Daily
Truck
Volume
Average
Daily
Fuel (kg)
Pumps
Pump
Tech
(kg/min)
Average
Daily
Truck
Volume
Average
Daily
Fuel (kg)
Pumps
Pump
Tech
(kg/min)
Average
Daily
Truck
Volume
Average
Daily
Fuel (kg)
Pumps
Pump
Tech
(kg/min)
Average
Daily
Truck
Volume
Average
Daily
Fuel (kg)
dpkwrpf 206.0437 2 1.8 2 190 0 0.0 0 0 0 0.0 0 0 0 0.0 0 0 0 0.0 0 0 0 0.0 0 0 0 0.0 0 0
dpkwxnx 210.1037 2 1.8 3 276 2 1.8 4 368 2 1.8 5 459 2 7.2 8 732 2 1.8 11 1005 2 1.8 13 1188 2 1.8 30 2738
dpkt7f7 222.7287 2 1.8 1 95 2 3.6 4 374 0 0.0 0 0 0 0.0 0 0 0 0.0 0 0 0 0.0 0 0 0 0. 0 0 0
dpsr5j0 240.0427 2 1.8 10 755 0 0.0 0 0 2 3.6 16 1057 0 0.0 0 0 0 0.0 0 0 0 0.0 0 0 3 3.6 45 3277
dpsqeeh 247.2377 2 3.6 5 344 3 3.6 16 1179 0 0.0 0 0 4 3.6 24 1749 5 3.6 33 2407 6 3.6 40 2911 5 3.6 29 2157
dpkz9z8 273.8257 0 0.0 0 0 0 0.0 0 0 0 0.0 0 0 0 0.0 0 0 0 0.0 0 0 0 0.0 0 0 0 0.0 0 0
dpksd0z 402.9946 0 0.0 0 0 0 0.0 0 0 2 1.8 6 553 2 1.8 8 737 2 1.8 10 920 2 1.8 13 1196 2 1.8 27 2484
dpkd0w2 432.2494 2 1.8 8 629 2 1.8 9 715 2 1.8 13 991 2 1.8 12 992 2 1.8 15 1269 2 1.8 17 1454 3 1.8 30 2594
dpkd023 434.7037 2 7.2 6 276 2 7.2 6 276 2 7.2 6 276 2 1.8 7 318 2 1.8 8 362 2 1.8 9 407 2 1.8 14 638
dpk232g 462.9283 2 1.8 1 93 2 1.8 1 93 2 1.8 1 93 2 1.8 1 93 0 0.0 0 0 0 0.0 0 0 2 1.8 2 185
dphpw2v 475.534 0 0.0 0 0 0 0.0 0 0 0 0.0 0 0 0 0.0 0 0 0 0.0 0 0 0 0.0 0 0 2 1.8 1 69
dphnsxm 486.82 0 0.0 0 0 0 0.0 0 0 0 0.0 0 0 0 0.0 0 0 0 0.0 0 0 0 0.0 0 0 0 0.0 0 0
dphjh3g 507.4949 0 0.0 0 0 0 0.0 0 0 0 0.0 0 0 0 0.0 0 0 2 1.8 3 235 0 0.0 0 0 2 1.8 2 189
dph5k4p 529.9024 0 0.0 0 0 0 0.0 0 0 0 0.0 0 0 0 0.0 0 0 0 0.0 0 0 0 0.0 0 0 2 1.8 1 93
dph4uqb 534.1572 0 0.0 0 0 0 0.0 0 0 0 0.0 0 0 0 0.0 0 0 0 0.0 0 0 0 0.0 0 0 0 0.0 0 0
dph45cg 545.6257 0 0.0 0 0 0 0.0 0 0 0 0.0 0 0 0 0.0 0 0 0 0.0 0 0 0 0.0 0 0 0 0.0 0 0
dph0ctz 560.911 2 1.8 2 186 2 1.8 2 186 2 1.8 2 186 0 0.0 0 0 2 1.8 4 369 0 0.0 0 0 2 1.8 6 559
dph02g4 568.5231 2 1.8 2 189 2 1.8 2 189 2 1.8 3 284 2 7.2 6 561 2 3.6 4 378 0 0.0 0 0 2 1.8 9 851
dngv4mc 615.3501 2 1.8 31 1832 2 1.8 37 2145 3 1.8 42 2454 3 1.8 53 3027 2 3.6 72 4282 3 3.6 96 5807 4 3.6 158 8947
dngv43e 616.9798 0 0.0 0 0 0 0.0 0 0 0 0.0 0 0 0 0.0 0 0 0 0.0 0 0 0 0.0 0 0 0 0.0 0 0
dngf7d1 651.7133 0 0.0 0 0 0 0.0 0 0 0 0.0 0 0 0 0.0 0 0 0 0.0 0 0 0 0.0 0 0 0 0.0 0 0
dngcezh 659.0351 0 0.0 0 0 0 0.0 0 0 0 0.0 0 0 0 0.0 0 0 0 0.0 0 0 0 0.0 0 0 0 0.0 0 0
dns5q18 746.5458 2 1.8 19 1512 2 1.8 19 1512 0 0.0 0 0 3 1.8 27 2071 0 0.0 0 0 0 0.0 0 0 9 3.6 205 13902
dns4mfz 758.3053 2 1.8 30 2029 3 1.8 36 2423 2 1.8 22 1594 4 1.8 51 3393 0 0.0 0 0 0 0. 0 0 0 0 0.0 0 0
dn7f5w9 762.6952 2 1.8 5 471 2 1.8 5 471 2 1.8 5 471 0 0.0 0 0 2 7.2 6 566 2 7.2 6 566 0 0.0 0 0
dnknfyp 806.7887 0 0.0 0 0 0 0.0 0 0 2 1.8 11 1024 0 0.0 0 0 0 0.0 0 0 0 0.0 0 0 0 0.0 0 0
dnkh49j 807.6362 2 1.8 24 1679 2 1.8 27 1807 2 1.8 17 805 0 0.0 0 0 2 1. 8 32 1485 2 1.8 39 1795 6 3.6 188 11595
dnkm2h8 830.468 0 0.0 0 0 0 0.0 0 0 0 0.0 0 0 0 0.0 0 0 6 3.6 115 8596 7 3.6 132 9849 0 0.0 0 0
dnkkc6j 839.1506 0 0.0 0 0 0 0.0 0 0 4 3.6 42 3294 0 0. 0 0 0 0 0.0 0 0 0 0.0 0 0 0 0.0 0 0
dn78tzq 910.2876 2 1.8 16 1226 2 1.8 17 1303 2 1.8 21 1615 0 0.0 0 0 3 1.8 34 2553 4 1.8 40 2995 0 0.0 0 0
dn5xfyv 922.1542 0 0.0 0 0 0 0.0 0 0 0 0.0 0 0 0 0.0 0 0 0 0.0 0 0 0 0.0 0 0 0 0.0 0 0
dn5rj1j 941.7203 0 0.0 0 0 0 0.0 0 0 0 0.0 0 0 9 3.6 81 5284 0 0.0 0 0 0 0.0 0 0 0 0. 0 0 0
dn5qvt0 943.4148 2 1.8 15 1128 2 1.8 15 1128 2 1.8 17 1268 0 0.0 0 0 2 1.8 22 1636 2 1.8 24 1775 0 0.0 0 0
dn5t3f0 968.0014 2 1.8 8 737 2 1.8 8 737 0 0.0 0 0 0 0.0 0 0 0 0.0 0 0 0 0.0 0 0 0 0.0 0 0
dn5t45v 970.7255 0 0.0 0 0 2 3.6 3 281 0 0.0 0 0 0 0.0 0 0 0 0.0 0 0 0 0.0 0 0 0 0.0 0 0
dn5se68 977.8101 2 1.8 2 190 0 0.0 0 0 0 0.0 0 0 0 0.0 0 0 0 0.0 0 0 0 0.0 0 0 0 0.0 0 0
dn5eecs 990.7216 2 1.8 6 564 2 1.8 6 564 2 1.8 14 1270 2 1.8 14 1270 2 1.8 18 1630 2 1.8 19 1719 0 0.0 0 0
dn5dynm 999.8799 2 1.8 10 926 2 1.8 12 1111 2 1.8 14 1296 2 1.8 17 1572 2 1.8 24 2127 2 1.8 27 2496 5 3.6 169 13937
dn5dpf6 1012.729 0 0.0 0 0 0 0.0 0 0 0 0.0 0 0 0 0.0 0 0 0 0.0 0 0 0 0.0 0 0 0 0.0 0 0
dn5cenu 1022.947 0 0.0 0 0 0 0.0 0 0 0 0.0 0 0 0 0.0 0 0 0 0.0 0 0 0 0.0 0 0 0 0.0 0 0
dn5bqye 1041.102 2 1.8 5 468 2 1.8 5 468 2 1.8 5 468 2 1.8 5 468 0 0.0 0 0 0 0.0 0 0 0 0.0 0 0
djgzxr4 1051.622 2 1.8 9 780 2 1.8 9 780 2 1.8 9 782 2 1.8 12 1055 0 0.0 0 0 0 0.0 0 0 0 0.0 0 0
djgzr3v 1056.707 0 0.0 0 0 0 0.0 0 0 0 0.0 0 0 0 0.0 0 0 0 0.0 0 0 0 0.0 0 0 0 0.0 0 0
djup0b8 1062.083 0 0.0 0 0 0 0.0 0 0 0 0.0 0 0 0 0.0 0 0 0 0.0 0 0 0 0.0 0 0 0 0.0 0 0
djujnqm 1089.208 0 0.0 0 0 0 0.0 0 0 2 3.6 2 189 2 3.6 2 189 0 0.0 0 0 0 0.0 0 0 0 0.0 0 0
djuhzht 1093.398 2 1.8 12 1108 2 1.8 12 1108 2 1.8 15 1388 2 1.8 21 1940 3 1.8 34 3106 3 1.8 39 3565 0 0.0 0 0
dju6qbk 1137.829 0 0.0 0 0 0 0.0 0 0 0 0.0 0 0 0 0.0 0 0 0 0.0 0 0 0 0.0 0 0 0 0.0 0 0
dju3w2s 1147.075 0 0.0 0 0 0 0.0 0 0 0 0.0 0 0 0 0.0 0 0 0 0.0 0 0 0 0.0 0 0 8 3.6 207 13754
dju2wqd 1156.915 0 0.0 0 0 0 0.0 0 0 0 0.0 0 0 0 0.0 0 0 0 0.0 0 0 0 0.0 0 0 0 0.0 0 0
djsqtbt 1183.938 2 3.6 4 379 2 3.6 4 379 2 3.6 4 379 2 3.6 4 379 2 1.8 7 663 2 1.8 7 663 0 0.0 0 0
djsmyhk 1191.626 2 1.8 9 820 2 1.8 14 1231 2 1.8 16 1501 2 1.8 18 1607 2 1.8 23 2133 2 1.8 25 2206 0 0.0 0 0
djsmy1q 1192.694 0 0.0 0 0 0 0.0 0 0 0 0.0 0 0 0 0.0 0 0 0 0. 0 0 0 0 0.0 0 0 0 0.0 0 0
djsdg95 1232.871 2 1.8 9 816 0 0.0 0 0 0 0.0 0 0 0 0.0 0 0 0 0.0 0 0 0 0.0 0 0 0 0.0 0 0
djsdey6 1234.078 0 0.0 0 0 0 0.0 0 0 0 0.0 0 0 0 0.0 0 0 0 0.0 0 0 0 0.0 0 0 0 0.0 0 0
djkycje 1282.092 0 0.0 0 0 2 7.2 6 561 0 0.0 0 0 0 0.0 0 0 0 0.0 0 0 2 7.2 6 569 0 0.0 0 0
djky741 1290.962 0 0.0 0 0 0 0.0 0 0 0 0.0 0 0 2 1.8 2 283 0 0.0 0 0 2 1.8 2 283 0 0.0 0 0
djkvw51 1302.727 0 0.0 0 0 0 0.0 0 0 0 0.0 0 0 2 1.8 4 379 2 3.6 5 474 2 1.8 6 569 0 0.0 0 0
djmj0yf 1311.328 2 1.8 16 1459 2 1.8 16 1459 2 1.8 18 1644 2 1.8 20 1830 2 1.8 24 2201 2 7.2 101 8199 0 0.0 0 0
djm68sf 1348. 713 2 1.8 8 693 2 1.8 8 693 2 1.8 9 774 2 1.8 11 957 2 1.8 13 1140 0 0.0 0 0 0 0.0 0 0
djjw3xj 1405.313 2 1.8 14 1298 2 1.8 15 1390 3 1.8 33 2830 2 1.8 19 1757 3 1.8 28 2592 0 0.0 0 0 0 0.0 0 0
djjt47p 1422.402 2 0.0 0 0 0 0.0 0 0 0 0.0 0 0 0 0.0 0 0 0 0.0 0 0 0 0.0 0 0 0 0.0 0 0
djjs5zq 1433.75 2 1.8 16 1329 2 1.8 17 1423 0 0.0 0 0 2 3.6 24 2009 2 3.6 32 2688 0 0.0 0 0 0 0.0 0 0
djjee9v 1442.21 2 3.6 2 188 0 0.0 0 0 2 3.6 2 188 2 3.6 2 188 0 0.0 0 0 0 0.0 0 0 0 0.0 0 0
djje4dr 1448.529 2 0.0 0 0 2 3.6 3 277 0 0.0 0 0 0 0.0 0 0 2 7.2 5 460 0 0.0 0 0 0 0.0 0 0
djj3neu 1475.968 2 1.8 1 94 0 0.0 0 0 2 1.8 2 188 2 1.8 2 188 0 0.0 0 0 0 0.0 0 0 2 1.8 8 753
dhv8ypd 1599.943 2 0.0 0 0 0 0.0 0 0 0 0. 0 0 0 0 0.0 0 0 0 0.0 0 0 0 0.0 0 0 0 0.0 0 0
dhtzdeg 1621.545 2 0.0 0 0 0 0.0 0 0 0 0.0 0 0 0 0.0 0 0 0 0.0 0 0 0 0.0 0 0 0 0.0 0 0
dhwg7eg 1755.722 2 0.0 0 0 0 0.0 0 0 0 0.0 0 0 0 0.0 0 0 0 0.0 0 0 0 0. 0 0 0 0 0.0 0 0
Total 76 311 24759 62 338 26631 62 372 29319 67 455 35028 60 582 45277 53 661 50209 63 1131 78721
100% (nS=18)
5% (nS=33)
10% (nS=30)
15% (nS=29)
25% (nS=27)
35% (nS=25)
45% (nS=20)
Page 20 of 21
be moved, in conjunction with more stations being open for refueling
could have many impacts on freight efficiency and how vehicles are
produced. Additionally, there are opportunities to explore adding new
refueling stations to remote locations to accommodate existing
infrastructure, such as the power grid, rather than retrofitting diesel
stations to accommodate hydrogen vehicles. More so, safety impact
of potential queuing lines at refueling stations, fuel handling, and other
areas must be explored.
The results presented only show an example of unconstrained
parameters, future papers will focus on a more realistic approach to
infrastructure expansion and use of real-world parameters and
operational scenarios. The addition of traffic modeling, realistic driver
behavior (stopping for lunch etc.) and sources of data show promise in
creating an effective tool at designing the future electrified
transportation network
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Definitions/Abbreviations
ACT
Advanced Clean Truck
BEV
Battery Electric Vehicle
CARB
California Air Resources Board
CO2
Carbon Dioxide
DER
Distributed Energy Resources
FAF
Freight Analysis Framework
FC
Fuel Cell
FCEV
Fuel Cell Electric Vehicle
FHWA
Federal Highway Administration
FMCSA
Federal Motor Carrier Safety
Administration
GA
Genetic Algorithm
GHG
Greenhouse Gas
H2
Hydrogen
HOS
Hours of Service
HD
Heavy Duty
HDRSAM
Heavy-Duty Refueling Station
Analysis Model
kW
Kilowatt
Li-ion
Lithium Ion
LTO
Lithium Titanate
MY
Model Year
NMC
Nickel Manganese Cobalt oxide
NZEV
Near-Zero Emissions Vehicle
O-D
Origin-Destination
OR-AGENT
Optimum Regional Architecture
Generation for Electrified National
Transport
ORNL
Oak Ridge National Laboratory
REVISE
Regional Electric Vehicle
Integrated System Evolution
TCO
Total Cost of Ownership
TMAS
Travel Monitoring Analysis System
WIM
Weight In Motion
ZEV
Zero Emissions Vehicle
Page 22 of 21
ResearchGate has not been able to resolve any citations for this publication.
Conference Paper
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