Nathan Metzger1, Xianglin Li1. 1. Department of Mechanical Engineering, University of Kansas, Lawrence, Kansas 66045, United States.
Abstract
This study compared the life cycle cost (LCC) of LiFePO4 battery, proton exchange membrane fuel cell (PEMFC), and direct methanol fuel cell (DMFC) as the main power source of electric forklifts. The battery showed the lowest LCC over 10 years ($14,935) among the three power sources, thanks to the significant price reduction in recent years. The fuel cost accounted for more than 70% of the total LCC of PEMFC ($36,682) when the hydrogen price was $8/kg. The LCC of DMFC ($41,819) with the current performance and catalyst loading (0.2 W/cm2, 6 mgPGM/cm2) was 12% higher than the LCC of PEMFC ($36,682). The LCC of DMFC ($25,050) will be 28.9% lower than that of PEMFC if both PEMFC and DMFC reach the target performance and catalyst loading set by the U.S. Department of Energy (1 W/cm2, 0.125 mgPGM/cm2 for PEMFC and 0.3 W/cm2, 3 mgPGM/cm2 for DMFC). The smaller fleet size will significantly increase the LCC of PEMFC due to the high cost of hydrogen fueling and storage infrastructure. For forklift users with less than 50 units, which account for 80% of forklift users, DMFC will be even more cost-effective due to the significantly lower cost of methanol infrastructure.
This study compared the life cycle cost (LCC) of LiFePO4 battery, proton exchange membrane fuel cell (PEMFC), and direct methanol fuel cell (DMFC) as the main power source of electric forklifts. The battery showed the lowest LCC over 10 years ($14,935) among the three power sources, thanks to the significant price reduction in recent years. The fuel cost accounted for more than 70% of the total LCC of PEMFC ($36,682) when the hydrogen price was $8/kg. The LCC of DMFC ($41,819) with the current performance and catalyst loading (0.2 W/cm2, 6 mgPGM/cm2) was 12% higher than the LCC of PEMFC ($36,682). The LCC of DMFC ($25,050) will be 28.9% lower than that of PEMFC if both PEMFC and DMFC reach the target performance and catalyst loading set by the U.S. Department of Energy (1 W/cm2, 0.125 mgPGM/cm2 for PEMFC and 0.3 W/cm2, 3 mgPGM/cm2 for DMFC). The smaller fleet size will significantly increase the LCC of PEMFC due to the high cost of hydrogen fueling and storage infrastructure. For forklift users with less than 50 units, which account for 80% of forklift users, DMFC will be even more cost-effective due to the significantly lower cost of methanol infrastructure.
Many industries and customers are looking for new power generation
methods due to the depletion of conventional fossil fuels and the
environmental impact of burning fossil fuels. This has sparked various
studies and policies focused on fundamental research and deployment
of various alternative energies.[1] A fuel
cell is a promising technology with high efficiency to replace conventional
power generation technologies relying on fossil fuels.[2] There has been tremendous progress to improve performance,
reduce cost, and expand the reliability of fuel cell systems in the
past decades.[3] Fuel cells have been deployed
in transportation, manufacturing, warehousing, and recreational and
entertainment products.[4,5] This study investigates the technical
readiness and economic feasibility of proton exchange membrane fuel
cells (PEMFCs) and direct methanol fuel cells (DMFCs) for material
handling applications, specifically electric forklifts powered by
rechargeable batteries or fuel cells.Forklifts are commonly
used in logistical and industrial fields
and construction applications. A forklift and a passenger vehicle
have a significant difference in stability. Most manufacturers apply
a counterweight on the rear side of the forklift to prevent forklifts
from falling to the loaded side. The counterweight helps the forklift
to lower the center of gravity and ensure its stability. Forklifts
operate at low speed to mitigate the high-power consumption caused
by their heavy weight. Typical work environments also require reduced
speed and frequent stops for safety. Forklifts’ average and
maximum velocities are much lower than passenger vehicles. The top
indoor speed of forklifts is about 8 miles per hour and 3 miles per
hour in the area where pedestrians are present in the United States.[6]There are seven classes of forklifts classified
by their functions,
methods of propulsion, and work environment by the Occupational Safety
and Health Administration (OSHA).[7] Forklifts
in different classes have different specifications and expectations.
There are two primary propulsion methods applied to forklifts: electric
motors (classes I, II, III, and VI) and internal combustion engines
(ICEs) (classes IV, V, VI, and VII). Powertrains of electric-motor-powered
forklifts use electricity generated by fuel cells or stored in batteries.
ICEs applied in forklifts typically consume fossil fuels such as gasoline,
diesel, and propane. This study will focus on classes I (electric
motor rider trucks), II (electric motor narrow aisle trucks), and
III (electric motor hand trucks or hand/rider trucks) forklifts. Figure shows the number
and fractions of forklift shipments within the United States in the
last 25 years.[8] There have been more shipments
of electric trucks (classes I, II, and III) than ICE-based trucks
(classes IV and V) in the past 25 years. The fraction of electric
forklift shipments experienced a significant increase during the last
two economic recessions (2000 and 2008). There were more than twice
as many shipments of electric forklifts as ICE units in 2020. Although
the current electric forklift market mainly uses the lead-acid battery
as the power source, the market share of rechargeable lithium-ion
(Li-ion) batteries is increasing quickly due to technological improvements
(better performance and lower cost) over the past few years. The installation
cost of a lead-acid battery is much lower than a Li-ion battery with
the same energy. However, the easier maintenance, shorter charging
time, higher efficiency, and longer lifetime of the Li-ion battery
lead to a lower life cycle cost (LCC) than a lead-acid battery.
Figure 1
(a) Historical
U.S. factory shipments and (b) fractions of electric
and ICE trucks.
(a) Historical
U.S. factory shipments and (b) fractions of electric
and ICE trucks.Fuel-cell-based power sources
are very efficient and can reduce
greenhouse gas (GHG) and particulate matter emissions. Unlike batteries,
fuel-cell-based power sources store energy in the fuel (hydrogen or
methanol) rather than the fuel cell, enabling the detachment of delivered
energy from generated power. Simply using a larger fuel tank rather
than building a bigger fuel cell engine can increase the vehicle’s
driving range. Furthermore, it is much faster to refill a fuel cell
(a few minutes) than charge a battery (a few hours). With the excellent
technology improvement of rechargeable batteries (mainly Li-ion batteries)
and fuel cells, both Li-ion batteries and hydrogen-driven PEMFCs have
been applied to material-handling applications. DMFCs powered by liquid
methanol have also attracted attention as the main power source of
material-handling devices[10] because liquid
methanol is much cheaper, abundant, and easier to deliver than hydrogen.
Based on the survey result conducted by Modern Materials Handling[11] in 2020 and the U.S. Department of Energy (PGM)’s
data, there are over 35,000 fuel cell forklifts as of Oct 2020.[12] This study estimated that fuel-cell-powered
forklifts occupy about 4% of the entire forklift industry.This
study will compare the LCC of Li-ion batteries, PEMFCs, and
DMFCs as the primary power sources of classes I, II, and III forklifts
using current and target performance and cost information. The LCC
includes the infrastructure, initial purchasing, and fuel costs over
the lifetime (10 years). Please note that this analysis does not include
the cost of the lift trucks themselves. Comparing different technologies’
technical and economic feasibility can help users, manufacturers,
and decision-makers identify the most promising power supply technology
that could greatly benefit material-handling applications.
Methods and Calculation
Representative Forklift
The lifespan
and energy consumption of the power source can vary depending on the
model type of the forklift, the number of shifts per day, the operating
hour per shift, and the fuel or electricity capacity. Manufacturers
suggest replacing the forklift every 10,000–20,000 h of operation.
According to the research done by the National Renewable Energy Laboratory
(NREL) in 2013, users reported lift truck lifetimes ranged from 5
to 15 years with an average lifetime of 10 years.[13] To simplify the total cost analysis calculation, this study
assumes the average lifetimes of the forklift and the primary power
sources (Li-ion battery, PEMFC, and DMFC) to be ten years. The assumption
of a 10-year lifetime for PEMFCs is consistent with the fuel cell
durability target of 20,000 h set by EU’s Fuel Cells and Hydrogen
Joint Undertaking (FCH 2 JU).[14] However,
the technology readiness level of DMFCs is lower than PEMFCs. While
PEMFCs can already meet DOE’s 2020 targets of catalyst loading
and power density,[15] only very few lab-scale
DMFC experiments can get close to DOE’s target performance.[16,17] In addition, there is limited regulation or research on the lifetime
of DMFCs.[10,18] For simplicity of comparison, this study
assumes that DMFCs have the same 10-year lifetime as PEMFCs and uses
model-simulated performance as the target performance of DMFCs. Although
these assumptions have a favorable bias benefiting DMFCs, this study’s
quantitative comparisons can still shed light on the economic feasibility
of these three different types of power sources. Based on the survey
results from NREL’s previous study, classes I and II forklifts
operate 2400 h, fuel cell forklifts consume 300 kg of H2 (10,000 kW h), and battery forklifts consume 6600 kW h electricity
annually.[13] The average power and energy
consumption of different classes of forklifts are summarized below:The average power consumption is
2.75 kW for classes
I and II forklifts;The average power
consumption is 0.55 kW for classes
III forklifts.The annual electricity
consumption is 6600 kW h for
class I and II forklifts.The annual
electricity consumption is 1320 kW h for
class III forklifts.
Cost
of Batteries
The rechargeable
Li-ion battery technology has made significant progress in increasing
the energy density and decreasing the price. The unit price of battery
has been reduced from more than $1000/kW h in 2010 to around $150/kW
h in 2019.[19,20] Among various commercial Li-ion
batteries, this study focuses on lithium iron phosphate (LiFePO4) due to its advantage of safety, stable performance under
low temperature, and low cost.[21] The detailed
cost of LiFePO4 battery packs to meet the power and energy
demands of different classes of forklifts is estimated using Argonne
National Laboratory’s BatPac4.0 model,[22] assuming production of 10,000 packs per year. Table summarizes data used in the analysis to
derive the battery cost of $6445 and $5768 for classes I or II and
class III forklifts.
Table 1
Battery Design and
Material Cost from
the BatPac Model
positive electrode: LiFePO4
cost of the positive electrode, $/kg
positive
active material’s
specific capacity, mA h/g
150
active material
$14.00
void volume fraction, %
25
carbon
$6.60
positive foil
thickness,
mm
15
binder
$9.50
maximum positive electrode
thickness, μm
120
solvent (NMP)
$3.10
negative electrode: graphite
cost of the negative electrode, $/kg
negative
active material’s
specific capacity, mAh/g
360
active material
$12.50
N/P capacity ratio
after formation
1.20
carbon black
$6.60
void volume fraction, %
34
binder
$10.00
negative current collector
thickness, μm
10
solvent (water)
$0.00
separator thickness, μm
15
Al foil, $/m2
$0.30
Cu foil, $/m2
$1.20
maximum charging current
density, mA/cm2
9.00
separator, $/m2
$1.10
electrolyte, $/L
$15.00
Cost of Fuel Cells
The PEMFC cost
of $1840/kW and $6964/kW are used for classes I and II and Class III
forklifts, respectively.[23] The DMFC cost
is estimated to be $3772/kW and $9701/kW for classes I and II and
class III forklifts, respectively. The detailed analyses to derive
these values are discussed as follows. The cost of PEMFC, including
the fuel cell stack and balance of the plant, is based on Battelle’s
cost analyses of 1 and 5 kW fuel cell systems with 10,000 units in
2017.[23] The cost of DMFC is derived from
the cost of PEMFC because both fuel cells have almost identical stack
structures, including end plates, bipolar plates, seal, oxygen delivery
system, cooling system, and membrane electrode assemblies (MEAs).
The MEA includes the gas diffusion layer (GDL), microporous layer
(MPL), catalyst layer (CL), and proton exchange membrane (PEM). The
GDL, MPL, and PEM in a DMFC are identical to those in a PEMFC. The
major difference is that DMFCs use much higher catalyst loading (anode:
4.5 mgPtRu/cm2; cathode: 1.5 mgPt/cm2) than PEMFCs (anode: 0.1 mgPt/cm2; cathode: 0.25 mgPt/cm2). Therefore, the cost
of a DMFC is higher than that of a PEMFC per active area of MEA. Table shows the cost per
unit area of PEMFC and DMFC stacks for class III and classes I and
II forklifts.
Table 2
Fuel Cell Cost Break Down
PEMFC
DMFC-current
1 kW
5 kW
1 kW
5 kW
components cost
$435.63
$1031.71
$3173.40
$10,693.07
assembly and conditioning
$145.87
$171.16
$145.87
$171.16
balance of plant (BOP)
$6382
$7996
$6382
$7996
total
$6963.50
$9198.87
$9701.27
$18,860.23
$/kW
$6963.50
$1839.77
$9701.27
$3772.05
$/cm2
$2.49
$0.87
$3.46
$1.78
The
catalyst reduction and performance improvement of fuel cells
will reduce the cost of each MEA and the number of MEAs required.
This study estimates the fuel cell stack cost considering these factors
and assumes the assembly cost and BOP remain unchanged. Tables and 4 show the cost of a 1 and 5 kW PEMFC and DMFC with current and target
performance set by the U.S. Department of Energy (DOE).
Table 3
Cost Breakdown of a 1 kW Fuel Cell
1 kW fuel cell
PEMFC
DMFC-current
PEMFC-target
DMFC-target
components
$436
$3173
$274
$1342
assembly
$146
$146
$146
$146
BOP
$6382
$6382
$6382
$6382
total
$6963.5
$9701.3
$6801.7
7870.4
Table 4
Cost Breakdown of a 5 kW Fuel Cell
5 kW fuel cell
PEMFC
DMFC
PEMFC-target
DMFC-target
components
$1032
$10,693
$656
$4220
assembly
$171
$171
$171
$171
BOP
$7996
$7996
$7996
$7996
total
$9199
18,860
$8823
$12,387
cost per kW
$1839.8
$3772.1
$1764.6
$2477.4
Capital Cost
The infrastructure cost
of the storage and distribution of hydrogen is high. The hydrogen
infrastructure cost was estimated to be up to $1 M per site.[24] In comparison, the methanol infrastructure cost
was estimated to be about $75,000 per site.[24] The NREL study estimated that the annualized cost of hydrogen infrastructure
(including the capital, operating, and maintenance costs) is $3700
per lift truck.[13] NERL made the estimation
assuming a fleet size of 58 units. This study uses the same estimated
hydrogen infrastructure cost per truck and assumes the methanol infrastructure
cost per truck is 1 order of magnitude lower ($370 per truck).
Fuel Cost
Forklifts mainly run on
three different types of fuel: gasoline, propane, and electricity.
Fuel cells that drive forklifts run on hydrogen and methanol. Figure shows the price
of each fuel in the last four years. The average price units for each
fuel type are converted to dollars per gasoline gallon equivalent
(GGE) in Table . The
energy prices of $0.11/kW h, $8/kg,[25] and
$0.41/kg are used for electricity, hydrogen, and methanol, respectively,
as a fixed fuel price in the baseline 10-years cost analysis. Data
from U.S. DOE’s Clean Cities Alternative Fuel Price
Report shows that fuel cell car users’ hydrogen costs
varied between $13.68/GGE and $16.55/GGE between Jan 2016 and Oct
2021, with an average of $15.41/GGE. Even though the reported retail
prices of hydrogen are high, the price will steadily decrease with
the increasing production volume. The technology improvements and
cost reductions of hydrogen separation membranes,[26] storage, transportation, and distribution[27] will also decrease the hydrogen cost. Therefore, this study
uses $8/kg as the benchmark hydrogen price and carries out the sensitivity
analysis assuming the hydrogen price varies between $4/kg and $12/kg.
The assumed hydrogen cost is within the range of reported hydrogen
cost by water electrolysis[28,29] and coal gasification.[30] It is higher than the reported cost of steam
methane reforming, but this baseline cost is reasonable when both
hydrogen production and distribution are included.[31,32]
Figure 2
Retail
fuel price in the past four years.
Table 5
Average Retail Price of Fuel per Unit
Mass in the Past Four Years
hydrogen
LPG
methanol
electricity
gasoline
energy content (MJ/kg or kW h)
119.93
49.6
19.7
3.6
46.4
energy content (GGE/kg/kW)
0.989
0.409
0.162
0.030
0.383
unit price ($/GGE)
15.41
3.02
2.51
3.54
2.62
unit price ($/kg or $/kW h)
15.23
1.23
0.41
0.11
1.00
Retail
fuel price in the past four years.
Fuel Cell Performance
This study
uses the performance of the state-of-the-art PEMFC and DMFC tested
under 80 °C and air with 50 kPa backpressure (Figure a) as the baseline performance.[17,33] Cell voltage, power density, and efficiency as functions of the
operating current density are derived based on these performance data.
The following voltage equations are applied to describe the voltage
of the fuel cell at a given current density, iwhere Ru is the
universal gas constant, 8.314 J/mol/K; F is the Faraday
constant, 96485 C/mol; and T is the operating temperature
of the fuel cell, 80 °C. Critical parameters such as exchange
current density, i0; crossover current
density, iXO; limiting current density, iL; and ohmic resistance, R,
of the fuel cell are fitted based on the performance curve shown in Figure a. Equation considers the activation
loss by the anode and cathode reactions separately because the overpotential
caused by both half-reactions is significant in DMFCs. The theoretical
voltages, E0, of PEMFC and DMFC are calculated
to be 1.17 and 1.20 V at 80 °C and 50 kPa air backpressure. The
power density and efficiency of the fuel cell can be calculated based
on the voltage equationandwhere the overall efficiency considers both
the fuel efficiency ηfuel(i) and
voltage efficiency ηvolt(i) of the
fuel cell. Figure b shows an example of the performance and efficiency change of a
DMFC with its operating current density based on collected experimental
data.
Figure 3
(a) Polarization (voltage vs current density) curves of a representative
PEMFC and DMFC (b) derived efficiency, voltage, and power performance
of a DMFC as an example.
(a) Polarization (voltage vs current density) curves of a representative
PEMFC and DMFC (b) derived efficiency, voltage, and power performance
of a DMFC as an example.It could be seen from Figure a that PEMFC driven
by H2 has much better
performance than DMFC: higher voltage and power density at any given
current density. Also, because the fuel crossover in DMFC is much
higher than in PEMFC, the fuel efficiency of DMFC is typically much
lower than PEMFC. As a result, the overall efficiency of a DMFC is
lower than that of a PEMFC. Although the power density, voltage, and
efficiency of a DMFC are lower than those of a PEMFC driven by H2, liquid methanol has a much higher energy density per volume
and much lower cost than H2. Therefore, the LCC of DMFCs
could be lower than PEMFCs. The total LCC in a 10-year term was simulated
by home-written Python codes based on fuel cell performance and estimated
costs.
Results and Discussion
LCC of Battery, PEMFC, and DMFC
Assuming
the battery and charger both have an efficiency of 90%, the energy
cost to deliver 6600 kW h (classes I and II) and 1320 kW h (class
III) electricity annually for ten years using a battery as the power
source is estimated to be $8490 and $1698, respectively. As a result,
the LCC of a battery pack is $14,935 and $7466 for classes I and II
and class III forklifts, respectively.The installation cost,
fuel cost, and total LCC of fuel cells depend strongly on the operating
current density (Figure ). The increase of current density increases the power density and
decreases the size of the fuel cell used to generate the same amount
of power. As a result, the installation cost of a fuel cell decreases
with increasing current density. On the contrary, increasing the current
density will decrease the efficiency of the fuel cell and increase
the fuel cost over the lifetime. The minimum LCC of $36,682 and $12,050
are obtained at a moderate current density: 521 and 764 mA/cm2 for PEMFCs applied to classes I and II and class III forklifts,
respectively. The cross symbols in the figure indicate the operating
point with the minimum LCC. The high price of hydrogen results in
a high fuel cost over the life cycle. The hydrogen fuel cost accounts
for 72 and 48% of the overall LCC for classes I and II (Figure a) and Class III forklifts
(Figure c), respectively.
Like a PEMFC, the installation cost of a DMFC decreases, while the
fuel cost increases with the increase of current density. The minimum
LCC of $43,023 and $12,562 are obtained at 591 and 646 mA/cm2 for classes I and II (Figure b) and class III forklifts, respectively, using DMFCs (Figure d). The LCC of a
DMFC-based power supply is 17% higher than that of a PEMFC-based power
supply for classes I and II forklifts. The cost difference (4%) is
insignificant for class III forklifts.
Figure 4
LCC of (a) PEMFC and
(b) DMFC for class I and II forklifts and
LCC of (c) PEMFCs and (d) DMFCs for class III forklifts.
LCC of (a) PEMFC and
(b) DMFC for class I and II forklifts and
LCC of (c) PEMFCs and (d) DMFCs for class III forklifts.
Fuel Cell Performance Improvement and Cost
Reduction
Both the PEMFC and DMFC have experienced significant
improvement in performance and reduction in catalyst loading in the
past decade. DOE had set the technical targets for PEMFCs to reach
more than 1 W/cm2 peak power density with no more than
0.125 mgPGM/cm2. Meanwhile, our team is leading
a research project to develop low-cost and high-performance DMFCs
sponsored by the DOE. The project targets to improve DMFC’s
peak power density to 0.3 W/cm2 and reduce the catalyst
loading to 3 mgPGM/cm2 by 2023.[34] The improvement of performance and cost reduction of fuel
cells could reduce the LCC of fuel cells making the fuel cell an economically
feasible technology for forklift applications. Figure a compares the polarization curves of PEMFC’s
and DMFC’s current performance and target performance. The
target performance of DMFC was derived based on a model study[35] and the target performance of PEMFC was from
a DOE report,[33] both of which are shown
as curves without markers. To meet the power and energy consumption
of the representative forklift, the improvement of fuel cell performance
leads to decreased fuel cell cost and reduced fuel cost.
Figure 5
(a) Polarization
curves of fuel cells and (b) corresponding LCCs
applied to a class I or class II forklift.
(a) Polarization
curves of fuel cells and (b) corresponding LCCs
applied to a class I or class II forklift.The fuel cell cost reduction will lead to lower LCC, as shown in Figure b. Because the balance
of plant (BOP) dominates (92% in 1 kW PEMFC and 87% in 5 kW PEMFC)
the cost of small fuel cell systems, the unit cost of a DMFC ($2477.4/kW)
with the improved performance and reduced catalyst loading is only
28.8% higher than that of PEMFC ($1764.6/kW). After meeting the target
performance and catalyst loading, the minimum LCC of DMFC significantly
reduces from $43,023 to $25,050 (by 41.8%), while the minimum LCC
of PEMFC only reduces from $36,682 to $35,253 (by 3.9%). The cost
reduction of PEMFC has a limited impact on the LCC because the hydrogen
cost of PEMFC accounts for 72% of the LCC (Figure a). The cost reduction of DMFC from $3772.1/kW
to $2477.4/kW makes the minimum LCC of DMFC ($25,050) 28.9% lower
than that of a PEMFC ($35,253) for a class I or class II forklifts.
DMFCs also have a cost advantage as the power source for smaller class
III forklifts than PEMFCs (Figure ): the minimum LCC of a DMFC ($8552) is 23.6% lower
than that of a PEMFC ($11,198).
Figure 6
The minimum LCCs applied to class I or
II or III forklifts.
The minimum LCCs applied to class I or
II or III forklifts.
Sensitivity
Analysis
To investigate
the sensitivity of results to economic and operating conditions, this
study varies the values of the major input parameters (fuel cell price,
fuel price, average power supply, annual energy supply) between 50
and 200% of the baseline values. Results shown in Figure show the changes in minimum
LCC when the input parameter varies. The baseline LCCs of PEMFC, DMFC,
and DMFC-Target are $36,682, $43,023 and $26,917 for classes I and
II forklifts. The baseline LCCs of PEMFC, DMFC, and DMFC-Target are
$12,050, $12,816, and $8048 for class III forklifts. The LCC of PEMFC
is very sensitive to the hydrogen price. Because the fuel cost accounts
for most of PEMFC’s LCC, if the hydrogen price is doubled (to
$16/GGE), the minimum LCC will be increased by 70% (to $62,373). On
the contrary, the minimum LCC of the PEMFC only increases by 16% after
doubling the price of the fuel cell.
Figure 7
The relative change of the minimum LCC
when the input parameters
are changed between 50 and 200% of the base value: (a) class I and
class II forklifts and (b) class III forklifts.
The relative change of the minimum LCC
when the input parameters
are changed between 50 and 200% of the base value: (a) class I and
class II forklifts and (b) class III forklifts.The fuel cell cost has a much more profound impact on the minimum
LCC of DMFCs. Because the current DMFC has a relatively high PGM loading
(6 mg/cm2) and a low peak power density (0.2 W/cm2), decreasing the cost of DMFCs by half could reduce the minimum
LCC by 30% while doubling the fuel cell price could increase the minimum
LCC by 58%. If the LCC is analyzed based on the target performance
(0.3 W/cm2) and catalyst loading (3 mgPGM/cm2), the impact of fuel price on the LCC is more substantial,
and this is further illustrated below.The cost of hydrogen
accounts for most of the LCC for PEMFCs and
the reported hydrogen price varies significantly.[36] Therefore, this model compared the min LCC when hydrogen
price changes between $4/GGE and $16/GGE. The trends in Figure a show that the efficiency
increases from 56 to 63% to minimize the LCC when the price of hydrogen
increases from $4/GGE to $16/GGE. The operating current density will
decrease to increase efficiency, which leads to increased fuel cell
size to produce the same amount of power. As a result, the fuel cell’s
installation cost slightly increases, and the fuel cost rises almost
linearly when the hydrogen price increases (Figure b).
Figure 8
(a) Efficiency and MEA size at the minimum LCC
and (b) minimum
LCC and corresponding installation and fuel cost of a PEMFC at different
hydrogen prices. (c) Efficiency and MEA size at the minimum LCC and
(d) minimum LCC and corresponding installation and fuel cost of a
DMFC at different methanol prices.
(a) Efficiency and MEA size at the minimum LCC
and (b) minimum
LCC and corresponding installation and fuel cost of a PEMFC at different
hydrogen prices. (c) Efficiency and MEA size at the minimum LCC and
(d) minimum LCC and corresponding installation and fuel cost of a
DMFC at different methanol prices.When the methanol price is increased from $0.215/GGE to $0.645/GGE,
the size of the MEA only slightly increases from 1.38 to 1.54 m2, and the fuel cell’s efficiency also slightly increased
from 25 to 29% in Figure c. Comparisons of efficiencies (calculated by eq ) show that DMFCs have much lower
efficiencies than PEMFCs because of the low voltage efficiency and
the low fuel efficiency. PEMFCs and DMFCs have similar theoretical
voltages (∼1.2 V), but the operating voltages of DMFCs are
lower than those of PEMFCs at similar current densities. Meanwhile,
the crossover of liquid methanol through the PEM is orders of magnitude
higher than PEMFCs,[37,38] which reduces the fuel efficiency
of DMFCs. The fuel price change has less impact on DMFCs because most
of the LCC is due to the fuel cell’s installation cost (60%
at the baseline). Due to the high cost of DMFCs, the operating power
density (0.1995 W/cm2 at the methanol price of $0.215/GGE)
to obtain the minimum LCC are close to the peak power density to minimize
the size (and cost) of the fuel cell. Even when the price of methanol
was increased to $0.645/GGE, the peak power density was only slightly
reduced to 0.1785 W/cm2. Therefore, the infrastructure
and installation cost in Figure d keeps almost constant at different methanol prices,
while the fuel cost during the lifetime increases almost linearly
with methanol price.[39]
Conclusions
This study analyzed different power sources
(LiFePO4 battery, PEMFC, and DMFC) to determine the best
option for forklift
usage. The quick price drop of Li-ion batteries has significantly
reduced the battery cost and LCC of battery packs in recent years.
Among the three power sources, the LiFePO4 battery has
the lowest LCC as the power source of classes I, II, and III forklifts.
DMFCs with the current performance and catalyst loading have comparable
LCC with PEMFCs. The performance improvement and reduction of PGM
catalyst loading make DMFC a more cost-effective technology as the
power source for forklifts, especially for class III forklifts with
relatively low power consumption. The much lower cost of methanol
infrastructure (∼$75,000 per site), compared with that of hydrogen
(up to $ 1 million per site), makes the DMFC a better choice for forklift
users with small fleet sizes. Quantitative results from this study
are summarized as follows:For
classes I and II forklifts, with the state-of-the-art
DMFC performance (0.2 W/cm2 peak power density) and catalyst
loading (6 mg/cm2), the LCC of a DMFC ($41,819) is 12%
higher than the LCC of a PEMFC ($36,682). If the DMFC can reach the
target performance (0.3 W/cm2) and catalyst loading (3
mg/cm2), the LCC of the DMFC over ten years ($25,050) is
28.9% lower than that of PEMFC.For class
III forklifts, with the state-of-the-art DMFC
performance (0.2 W/cm2 peak power density) and catalyst
loading (6 mg/cm2), the LCC of DMFC ($12,621) has a negligible
difference from the LCC of PEMFC ($12,380). If the DMFC can reach
the target performance (0.3 W/cm2) and catalyst loading
(3 mg/cm2), the LCC of the DMFC ($8144) over ten years
could be 23.6% lower than that of PEMFC.Although DMFCs have much higher catalyst loading (6
mg/cm2) than PEMFCs (0.4 mg/cm2) at the cell
level, the cost difference between PEMFC and DMFC stacks is not very
significant because the BOP accounts for the majority of the stack
cost (more than 90% for a 1-kW stack).The LCC of PEMFCs depends heavily on hydrogen price.
The fuel cost could be more than 70% of the total LCC of a PEMFC;
in comparison, the fuel cost only accounts for 40% of the total LCC
of a DMFC.
Limitations
of This Study
Although the reliability and lifetime of the
fuel cell are critical
to the LCC and the user’s purchasing decision, this study did
not consider the reliability and the maintenance cost of the power
source due to the lack of data. In addition, this study does not include
a rechargeable battery and hydrogen storage in the BOP of fuel cells
and does not consider the power consumption by the BOP. Fuel cells
do not respond quickly to the change in power demand. Therefore, PEMFC-based
and DMFC-based power sources are often integrated with batteries to
meet the dynamic power demand. Although the cost increase to integrate
rechargeable batteries was not considered in this analysis, PEMFC-based
and DMFC-base power sources have a similar cost increase by integrating
with batteries. Therefore, the LCC comparisons between PEMFC and DMFC
remain the same. Existing studies on DMFCs show faster degradation
rates than that of PEMFCs. As a result, the lifetime of DMFCs could
be lower than that of PEMFCs. Reducing the lifetime of DMFCs will
inevitably increase the LCC of DMFCs. However, due to the limited
data on DMFC’s lifetime, this study assumes that DMFCs have
the same lifetime of 10 years, which may underestimate the LCC of
DMFCs. The hydrogen infrastructure cost was estimated based on the
fleet size of 58 units. About 80% of forklift users have fleet sizes
of less than 50; therefore, the LCC of a PEMFC could be significantly
higher for these users because of the higher hydrogen infrastructure
cost per forklift.