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Integration of Hydrogen Production via
Water Electrolysis at a CHP PlantA feasibility study
Anton Ottosson
Sustainable Energy Engineering, master's level
2021
Luleå University of Technology
Department of Engineering Sciences and Mathematics
Preface
This report was made with the purpose to investigate the possibilities of producing hydrogen
(H2) and oxygen (O2) by water electrolysis via an electrolyzer at a heat & power plant. It is
written by Anton Ottosson, as a part of a Master Thesis project associated with a Master of
Science in Engineering education at Luleå Tekniska Universitet.
This report is also hoping to aid in the Sustainable Development Goals as goals like 7, 9, 11,
12, and 13 can be affected by this report [2]. The project can participate in the promotion of
potential production of fossil free H2, to be used as a fuel or energy-storing agent in the
future, to fight climate change. It can also contribute by rewarding discussions revolving
around the benefits of integrating an electrolyzer at a CHP, both for the climate and the
efficiency of the industry.
Special thanks to:
Kentaro Umeki, professor, and supervisor from LTU, for generous help and excellent
guidance during all parts of the project.
E.ON for cooperation, and especially the Örebro office, for having me do my Thesis project
at their site.
Rufus Ziesig & Jonas Elliot, site managers and supervisors from E.ON, for a very
professional cooperation and valuable guidance during the project.
Fredrik Lind, Magnus Bokén, Agneta Bäckman and Maria Grahn for advice and rewarding
discussions during the project
I would also like to thank various other persons, companies, and organizations for help
regarding information under the project.
I would also like to thank my closest and family for their support during the period of the
project.
Anton Ottosson
4/16/2021
Örebro
Abstract
Hydrogen gas (H2), that is not produced from fossil oil or natural gas, is expected to become a
cornerstone in the energy transition strategy in Europe. The recent years, technological and
economic advances in the electrolyzer area, along with political and corporate support, have
put H2 at the forefront of many countries’ climate change agenda. Consequently, green H2 is
poised to play a large role in the coming energy transition to combat climate change.
The possible advantages of integrating H2 production with a combined heat and power plant,
or CHP, is investigated in this study. More precisely, the water electrolysis is carried out
based on the purified flue gas condensate water and excess heat is recovered as district
heating. A comparison of today’s three most common electrolyzer technologies was made,
where Proton Exchange Membrane, or PEM, technology was chosen for this project, mainly
for its high purity of H2 gas, robust construction, and the ability to run it as a fuel cell.
Based on a mass and energy balance, a model including the integration of a PEM with a
generic CHP plant was developed. The model was made modifiable, making it possible to
change governing parameters, to be able to investigate different possible scenarios.
Production flows, losses and other relevant data was calculated from the model. Operational
data for the PEM electrolyzer were collected from several manufacturers where a mean value
of the data was used as a base-case for the calculations. Based on literature and consulting
experts, several assumptions were made, for example the selling price of H2 and the price for
electricity. From the base-case were two cases made: a linear and non-linear case. The linear
case uses the same input data each year for 20 years, while the non-linear case uses a
changing input data each year for 20 years.
Calculations were based on an electrolyzer size of 1,4 MW, where auxiliary equipment
consumed additional 0,04 MW, resulting in a total energy consumption of 1,44 MW. An
operational temperature of 80°C was assumed along with an operational pressure of 5 and 30
bar for the anode and cathode respectively. This resulted in an H2 production flow of 26 kg/h,
a process water requirement of 0,2 m3/h, and a possible heat recovery amount of 0,34 MWh
with a relevant temperature for the use in district heating.
The study shows that the condensate-water at E.ON could provide for ~4000 hours of
operation in the wintertime. To enable full operation all year around, a purchase of tap water
would be necessary.
The economical calculations resulted in an H2 production cost of 53 SEK/kg for the linear
case and 58 SEK/kg for the non-linear case. The linear case showed a positive internal rate of
return, or IRR, of 1,7%, while the non-linear case resulted in IRR < -25%. A sensitive
analysis was made to examine governing parameters. The results of the sensitivity analysis
showed that the largest driving variables, that significantly affect the IRR, are the price for
electricity and the selling price for H2. The largest OPEX cost was found to be the price of
electricity.
The results showed that it is feasible to produce H2 at E.ON Örebro in a resource efficient
way under certain circumstances, correlated to the electricity and H2 market. With a low
electricity price and a selling price of ~50 SEK/kg for H2, good profitability is expected.
It is also clear that future work should focus the areas of O2 usage, infrastructure, and market
investigation for a more definitive conclusion.
Table of Contents
1 Introduction..................................................................................................................... 1
1.1 Background .................................................................................................................. 1
1.2 Purpose and goals ......................................................................................................... 2
2 Hydrogen production by electrolysis of water ............................................................. 2
2.1 Electrolyzer technologies ............................................................................................. 3
2.1.1 ALK, Alkaline Electrolyzer .................................................................................. 4
2.1.2 PEM, Proton Exchange Membrane Electrolyzer ................................................ 4
2.1.3 SOEC, Solid Oxide Elctrolyzer Cell .................................................................... 5
2.1.4 Other technologies ............................................................................................... 6
2.2 Water quality ................................................................................................................ 7
2.3 Purification and drying of produced H2 and O2 ............................................................ 7
2.3.1 Purification .......................................................................................................... 7
2.3.2 Drying .................................................................................................................. 8
2.4 Byproducts ................................................................................................................... 9
2.4.1 Heat production ................................................................................................... 9
2.4.2 O2 production ...................................................................................................... 9
2.5 Operational problems with the electrolyser .................................................................. 9
2.5.1 Contamination coverings ..................................................................................... 9
2.5.2 Limestone, metals and ”fouling” ......................................................................... 9
2.5.3 Gas crossover ...................................................................................................... 9
2.6 Application of hydrogen gas ...................................................................................... 10
3 Theory and methods ..................................................................................................... 10
3.1 Operation of the Electrolyzer ..................................................................................... 10
3.1.1 Ohmic losses ...................................................................................................... 12
3.1.2 Faradaic losses .................................................................................................. 12
3.1.3 Heat production ................................................................................................. 12
3.1.4 Water formation in anode/cathode and unwanted gas in the production flows 12
3.2 Mass and Energy balance ........................................................................................... 13
3.3 Efficiency ................................................................................................................... 15
3.4 Economy ..................................................................................................................... 16
3.4.1 Production cost, payback time and Internal rate of return ............................... 16
3.4.2 Input data for the base case ............................................................................... 17
3.4.3 Linear case ........................................................................................................ 18
3.4.4 Non-linear case .................................................................................................. 18
4 Results and discussion .................................................................................................. 19
5 Conclusions .................................................................................................................... 28
6 Future work ................................................................................................................... 29
6.1 Internal usage of O2 .................................................................................................... 29
6.2 Market for H2 and O2 .................................................................................................. 29
6.3 Infrastructure .............................................................................................................. 29
References .............................................................................................................................. 30
Abbreviations Variables
AEM Anion Exchange Membrane A Area (m2)
ALK Alkaline (electrolyzer type) Cp Specific Heat capacity (KJ/kg K)
CAPEX Capital Expenditure Cv Molar Heat Capacity (KJ/mol K)
CHP Combined Heat and Power e- Electron
CO2 Carbon Dioxide F Faraday’s constant (96485 𝑐/𝑚𝑜𝑙)
EU European Union H+ Proton (positive charged hydrogen)
EXP Expenditure h Enthalpy (KJ/mol)
H2 Hydrogen Gas I Current (Ampere)
HHV Higher Heating Value M Molar mass (kg/mol)
IRR Internal Rate of Return m Mass (kg)
kg Kilogram m Mass flow (kg/s)
kW Kilo Watt n Number (pcs)
kWh Kilo Watt Hour n Amount of substance (mol)
NOX Nitrogen Oxides n Molar flow (mol/s)
O2 Oxygen Gas P Pressure (Bar)
OPEX Operational Expenditure Q Energy (Joules)
PEM Proton Exchange Membrane T Temperature (℃elcius)
PROD Production V Voltage (Volt)
PSA Pressure Swing Adsorption Z Number of electrons (pcs)
REV Revenue V Volume (m3)
SEC Specific Energy Consumption W Watt (Joules/s)
SOEC Solid Oxide Electrolyzer Cell ∆G Gibs Free Energy (KJ/mol)
II Initial Investment ∆H Enthalpy (KJ/mol)
SR Stack Replacement ∆S Entropy (KJ/mol)
ɣ Specific heat ratio (mol/kg)
ᶯ Efficiency (%)
ρ Density (kg/m3)
1
1 Introduction The world is facing a crisis in the quest for a sustainable energy source, to help phase out or
replace fossil fuels. Hydrogen gas, which can act as an energy carrier, energy-storing agent
and a possible source of power generation, has in recent years become a more relevant and
interesting option as a complement to other renewable sources.
The idea to use electrolysis of water, powered by renewable energy sources to produce, so
called, green H2 gas, has been around for quite some time. But in the recent years, the market
has exploded exponentially with a demand for H2-powered products. This in turn has created
a larger demand for H2, which currently are mainly used in industrial processes.[12][18]
The utilization of H2 in areas other than industry has been a sensitive and prejudiced subject
for many years. The flammable nature of H2 remind most people of events like the
Hindenburg disaster when spoken of outside of industrial usage. Water electrolyzers have
also been used to a relatively small extent with a limited market. H2 is cheaper to produce
from fossil fuels, resulting in unprofitable H2 production by water electrolysis. Consequently,
electrolyzers have been relatively expensive equipment. [18][42]
H2 is a hotter topic of conversation now than ever with its great flexibility and a wide area of
usage [9], and the possibility to be produced in a green environmentally friendly way
[18][20]. Some few examples of where H2 can be utilized are in the industry, as an energy
storing medium, or in Fuel Cells for electricity production or powering mobile vehicles. The
development of existing and new electrolyzer technologies has rapidly accelerated in the last
years as a result [12][18]. By using renewable energy to drive the electrolysis of water, green
H2 is produced and can contribute to the fight against climate change. Large companies are
now becoming the leading drive force in the development of the water electrolysis market,
which may drive the price tag down.[3][32][31]
A future where H2 contributes as an important complement in different sectors seems to be
approaching reality. The question remains whether H2 might be the answer to many of today’s
energy problems, and it has been right in front of our noses all along.
1.1 Background At E.ON’s CHP plant in Örebro, flue gas condensate water is extracted and purified for usage
as process water in the boilers again. The amount of condensate water differs with the time of
the year. During the winter times, there is a surplus of the condensate water, and it is released
into the river running through Örebro city. The purity level of the surplus water is in general
of more than sufficient quality for the use in the electrolyzer but differs in purity quality. In
some cases, it is purified to levels close to battery water [7]. The amount of condensate
produced is directly linked to the number of boilers that are under operation. It can be
regarded as a waste to release purified excess water without putting it to use. Furthermore, the
CHP has great integration possibilities with their existing district heating network to take
advantage of. Furthermore, other infrastructure such as power supply and also service
personnel are already on site.
With this background, this project addresses the idea of using this surplus water to produce H2
and O2 gas through electrolysis of water. The primary question is what benefits an integration
of an electrolyzer at a CHP plant can provide. The question of how favorable and profitable
such an investment could be, gave rise to this feasibility study. However, the possibilities for
2
further integrating water electrolysis with a CHP plant, and thereby to lower the production
cost for the plant have not been examined due to limited time.
1.2 Purpose and goals It has already been proven that to achieve a profitable business by the production of H2 via
water electrolysis is a possible concept [16][22][24][29]. It has also been proven that to place
an electrolyzer close to renewable electricity production facilities, such as wind and solar
parks, is a somewhat successful concept [17][26][30]. However, there are limited numbers of
studies that investigated the advantages and disadvantages of placing and integrating an
electrolyzer at a CHP plant. This applies not only specifically at a CHP plant, but also heat
production facilities in general.
The main goal is described as the following:
To find out if it's possible to produce H2 at Åbyverket in a resource efficient way.
To answer this question, the following goals were set for the study:
• To develop and evaluate a technical solution (on a system level) for
how an electrolyzer can be integrated with other components such
as heat pumps, compressors, storage tanks, fuel cells etc.
• To evaluate the performance of the suggested system through a
techno-economic analysis.
• To identify the possibilities to place such a process at E.ON Värme
in Örebro.
2 Hydrogen production by electrolysis of water Production of hydrogen by electrolysis of water has been performed for quite some time. In
the early 1800s, two English scientists, William Nicholson and Anthony Carlisle, discovered
that H2O could be split into its two components, H2 and O2, with the use of
electricity[13][1][17]. The concept was proven successful by other scientists and saw further
development. In the 1900s, electrolyzers were used to produce H2 and O2 gases on an
industrial scale.[13][1][17]
Since the 1900s, the alkaline water electrolysis technology, or “ALK”, has continued to
develop and is a mature technology today. It has seen the use in different countries over the
years in varying scale. Norway for example, had H2 production on megawatt scale by ALK
electrolyzers in the middle of the 20th century. [1][17]
More recent years, other electrolyzer technologies have been developed to counter the
drawbacks of ALK, such as current densities and the relatively low purity of the H2 gas. Two
examples are the “Proton Exchange Membrane”, referred to as “PEM”, and the “Solid Oxide
Electrolyzer Cell”, referred to as “SOEC”, technologies. In recent years, these technologies
have seen rapid development and have been given large attention in the research area.[12][13]
3
Figure 1: Early industrial grade electrolyzer [8]
Research and development of electrolyzers have historically been driven with the sole intent
of producing H2 more efficiently. Today, besides trying to increase efficiency, the research
focus has shifted more towards economic profitability. Hopefully resulting in the production
of cheap, green H2 and at the same time make a positive contribution to the environment. [34]
2.1 Electrolyzer technologies Different types of electrolyzer techniques were evaluated in this project for the purpose to fit
E.ONs demands. After the initial screening, the three most common electrolyzer techniques
on today’s market are examined in detail. This decision was made as it is unrealistic to invest
in immature technologies.
The three most common technologies today are ALK, PEM, and SOEC, [9][19][29] and their
main characteristics are summarized in Table 1.
The purpose of all three technologies is to split water into O2 and H2. However, the
technologies have different methods of achieving electrolysis, with the use of different charge
carriers and environments in which the electrolysis takes place.
Table 1: Some of the technical differences of the covered electrolyzer types [18][34][35].
ALK (alkaline water electrolysis)
PEM (Proton Exchange Membrane)
SOEC (Solid Oxide Electrolyzer cell)
Environment type Alkaline Acidic Superheated Steam
Technical maturity Commercial Commercial
Research &
Developmentb
Electrolyte type KOH liquida Polymer membrane Ceramic membrane
Charge carrier OH- H+ O2-
a = Commonly used[Fel! Hittar inte referenskälla.] b = Demonstration and smaller facilities exist.
4
2.1.1 ALK, Alkaline Electrolyzer
ALK is the oldest and the simplest technique of producing H2 and O2 gas through water
electrolysis. An ALK cell is based on an anode & cathode side, submerged in a bath of
electrolyte, typically a KOH solution [9][13][18]. A membrane is separating the two sides,
often made of a polymeric material. A current is forced through the anode and cathode. It
causes the water to release negatively charged hydroxide ions from the cathode side to the
anode side. O2 gas and water are produced at the anode side and H2 gas and OH- ion at the
cathode side. The gas rises from respective electrodes and the gas can then be extracted,
purified, and prepared for usage. [18]
Figure 2: Structure of the ALK cell.
There are several advantages with ALK electrolysis technology. ALK uses common metals
for the anode and cathode, typically Nickel and Copper [9][18], which makes it one of the
cheapest technologies. ALK technology has also been around the longest and is, in the current
day, the most mature and commercialized technology.
One of the larger disadvantages of the technology is the alkaline environment it is operating
in. This environment will cause some of the equipment, such as cathode and anode, to
degrade over time which will increase maintenance costs [19]. By having the electrodes
submerged in a KOH solution, traces of the electrolyte will be present in the H2 flow,
lowering the purity.
2.1.2 PEM, Proton Exchange Membrane Electrolyzer
PEM is a technology developed in the last 50 years. The PEM technology was mainly
developed to counter the drawbacks of ALK electrolyzers and it is the same technology used
in several fuel cells. A PEM electrolyzer eliminates the usage of a liquid electrolyte and
instead uses a solid polymeric membrane to produce H2 gas that significantly increases the
purify of the gas. As the name suggests, the PEM electrolyzer transports H+ (protons) from
the anode to the cathode side, driven by pressure difference, to produce H2 gas. The PEM cell
5
structure consists of several layers of rigid metal plates, allowing greater pressures to be used
in the reaction [9][12][13]. The plates contain channels for the process water, the H2 and O2
gas, and the cooling water circuit. Water is feed into the anode plate where a current and
voltage is applied. H+ (protons) travel through the membrane from the anode side to the
cathode side where H2 gas is formed. As a result, O2 is produced on the anode side and leaves
the electrolyzer with leftover H2O.
Figure 3: PEM structure.
The PEM process is typically fed with ⁓80℃ water [9] [11][12]. The possibility of increased
operational pressure in the cathode, thanks to the rigid construction of the cells, can be
exploited to lower the cost of compression of the produced H2 gas. This pressure is commonly
set to around 30 bar [12][1]. Since the cell structure of the PEM is based on several plates
with separate channels for gasses and water, the PEM can be operated in reverse order to be
used as a fuel cell. If it is used for the electrolysis of water, it is commonly referred to as
“PEMEL” or “PEM”, and “PEMFC” as fuel cell.
Since the operation of the PEM with a high concentration of H+ ions create an acidic nature,
the materials for the anode and cathode must be corrosion-resistant. This results in one of the
larger disadvantages with the technology, which is the need for rare metals in the anode and
cathode. Typical materials used are platinum and iridium, which increases the cost. [19]
The first PEM was been developed by the company General Electric in the 1960s to
overcome the disadvantages of ALK technology [9][11][13].
2.1.3 SOEC, Solid Oxide Elctrolyzer Cell
In the most recent years, SOEC has been seeing more and more development because of its
potential of very high efficiencies. Unlike ALK and PEM technology that uses water at ~70 -
90°C, SOEC instead uses high-temperature steam to achieve electrolysis, often at
temperatures around 700 – 800 ℃ [9][11][27]. SOEC, like a PEM, can be operated both as an
electrolyzer, and a fuel cell, then commonly referred to as a “Solid Oxide Fuel Cell”, or
6
“SOFC”. Like the PEM, the SOEC uses a solid electrolyte in the form of a membrane. But
unlike the PEM membrane which commonly is made of a polymeric material, the membrane
used in a SOEC is made of ceramics [27][9].
The SOEC cell is feed with steam, typically at around 750℃, into the cathode. When a
voltage and current are applied, O2 ions transfer through the electrolyte while H2 is formed in
the cathode. Some steam is also present in the H2 stream and needs to be removed at a later
stage. The H2 continues along with the cathode and the O2 ions transfer to the anode and
emerges as pure O2 gas. The high operating temperatures of the cell create increased demands
on the solid electrolyte to be able to handle the temperatures and the increased wear that can
result from this. A common material used as the electrolyte is Zirconia Dioxide [9][23][27],
because of its high melting temperature, strength, and high resistance to corrosion
characteristics. The SOEC, much like ALK technology, is not capable to produce H2 at a
pressure and therefore need an initial compression stage.
Figure 4: Solid Oxide Electrolyte Cell structure.
Since the SOEC is operating under very high temperatures, the efficiency can be increased by
smart heat management. This also brings challenges for the demand of very hot steam,
especially in large quantities. Unlike ALK and PEM, the SOEC needs a large heat source to
operate.
2.1.4 Other technologies
The technologies listed above are the most common ones today, but other less common
technologies do exist. These technologies are not ready for commercial use compared to
ALK, PEM, and partly SOEC. Since the PEM, ALK, and SOEC technologies have their clear
advantages and disadvantages, new technologies are under development to counter the
disadvantages of each technology [9]. One example is the usage of different organic
wastewaters for microbial electrolysis [9].
Another is AEM technology, or “Anion Exchange Membrane”, which combines the
advantages of low-cost material and the environment from ALK and the higher efficiency and
7
current densities of a PEM electrolyzer [41]. It is worth noting that this technology is under
development and is currently only available on a very small scale for home appliances, but
technologies like this make the future for H2 production via water electrolysis brighter.
2.2 Water quality The quality of the feed water is a critical variable in the water electrolysis,[18] as the lifetime
of the electrolyzer is significantly lowered if the water quality is poor and minerals can cause
fouling or even damage to the machine and membrane. Contamination coatings can also be
formed on either the cathode and/or anode, depending on the technology [40].
Regular tap water is most often of insufficient quality, but only needs some treatment to
deionize the water. Nevertheless, the cleaner the feed water is, the better. Since there is
already an existing water treatment facility on Åbyverket, the water quality is of no concern.
At times when tap water is needed to supply the electrolyzer, the existing water cleaning
equipment can be used. A water treatment component can be skipped in future investment,
which is an advantage of integration with CHP plants.
The amount of chloride, magnesium, and calcium in the feed water should be minimized
since large quantities of these minerals can affect the membrane and the platinum cathode
[18]. Acidic systems like the PEM are generally less tolerant to these elements than for
example ALK systems, which are operated under alkaline conditions [13].
2.3 Purification and drying of produced H2 and O2 ALK, PEM, and SOEC all produce H2, but in different ways, as mentioned in section 2.1.
This results in different needs for purification and drying of the production flow of H2. Table
2 below shows a comparison between the type of electrolyte, purity of gas, and which
pollutants can usually occur with each technology.
Table 2: Comparison between the different contaminations encountered in the respective
technology [18][34][35].
ALK PEM SOEC
Electrolyte type Typically, 30% wt
KOH solution
Solid Polymer
membrane
Solid Ceramic
membrane
Purity of H2 flow (%) ~99,5 =< 99,99 ~99,9a
Major contamination
in H2 flow
H2O, trace of
electrolyte Trace of H2O H2O
a = no reference provided; values estimated based on collected information [Fel! Hittar inte referenskälla.]
2.3.1 Purification
In the electrolysis process, the splitting of water will lead to two separate product flows of H2
and O2, with some unwanted formation of water vapor in both flows. Depending on the
technology, different types of contaminations may also occur and pollute the gas flows. In
this case, the purity of the H2 flow is of greatest interest.
Contaminations in the production flow can be of solid, gaseous, and liquid form and most of
the contaminations encountered can be removed, with different methods. The types and
amount of contaminations in the production flow are often caused by water quality, wear over
time, technology, and the operating pressure in the cathode and anode. Hence, the feed water
8
quality is important for both the lifetime of the machines and the purity level of the produced
H2.
Table 3: Brief summary of possible contaminants in H2 produced from electrolyzers.
Solid contaminations Liquid contaminations Gaseous contaminations
Solid contaminations, such as particles
of rust & dirt are often occurring in
small quantities and are a product of
long-time operation. Solid particles
from plastics and gaskets can also occur
in the production flow, these are often
caused by faulty/bad maintenance.
Solid particles are relatively easily
removed with the correct equipment.
Liquid contaminations are for the most
part unwanted formation of water from
the feed water, often in the anode or
cathode. Except for H2O, the most
common liquid contamination is from
the electrolyte. This requires the
technology to use a liquid electrolyte,
like ALK technology. For example,
small quantities of particles from the
KOH solution in an ALK electrolyzer
can end up in the H2 production flow.
These liquid particles are commonly
removed with coalescing filters or
similar techniques.
Gaseous contaminations should
normally only consist of water vapor. If
oxygen, nitrogen, and argon are present
in the production flow, a leak is feasible
but rarely occurring since the systems
are pressurized above atmospheric
pressure and no other gases should be
able to enter the system. O2 in the H2
flow is seen as contamination and often
a result of “gas crossover”. The H2 is
easily purified from the unwanted O2
with techniques such as PSA.
Scrubbing is necessary for ALK systems, since small quantities of the electrolyte, typically a
solution of KOH, end up in the production flow.
Unwanted formation of O2 in the production flow is more common in PEM electrolyzers. The
O2 can be removed in several ways, but the most common method is by either pressure swing
adsorption, referred to as PSA, or a catalytic purification with drying.
The “all in one solution” for water vapor, solid, liquid, and gaseous contaminations are a
Palladium-silver membrane. This membrane purifies the H2 gas from almost any unwanted
substance and purifies the H2 to a >99,9999% purity [33]. The significant drawback with the
usage of this membrane is the extremely high price of palladium and the R&D status. The
most common contamination overall is unwanted H2O in gas and liquid form, which need to
be removed [14].
2.3.2 Drying
Even with a high conversion efficiency, robust construction, and favorable pressure
circumstances, some unwanted H2O will eventually form in produced H2. The process of
removing the unwanted H2O is often referred to as “drying”, which can be performed in
several ways. The most suitable solution to remove water from the H2 differs depending on
which technology is used to produce H2. For a PEM, small amounts of O2 will be formed in
the cathode, see section 3.1.4, which eventually will react with a small amount of H2 and form
H2O. This water will take liquid form and can simply be removed by a water collector unit as
it will accumulate with the help of gravity. [15][12]
A well-known and widely used method for gas purification is Pressure Swing Adsorption, or
PSA [14][15]. The technology is operated by pressure difference with the usage of porous
layers that the target gas can diffuse through and the waste gas can be purged away after a
cycle. It can be performed on large scale with little downtime to a relatively low cost with a
purity of the H2 flow off up to 99,999% [15]. The downside of using PSA as a purification
method is that a portion of the produced H2 is lost to “purge” the PSA unit between cycles to
9
regenerate the unit. This loss in production corresponds to 15 – 30 % of the total production
[33].
2.4 Byproducts
2.4.1 Heat production
In the electrolysis process, a large amount of unwanted heat is produced. This heat production
is at a scale large enough that it creates a cooling demand for the PEM stack. It is common to
have a cooling system installed on the roof of the electrolyzer construction and the heat is
most often ventilated as it is seen as non-recoverable waste heat. By placing the electrolyzer
close to a CHP, the waste heat can be recovered in the district heating system, which in turn
can provide cooling for the PEM stack. [12]
2.4.2 O2 production
Besides producing H2, the electrolyzer does also produces O2 as a by-product. It is common
for manufacturers to not supply purification and drying solution for the O2 gas since the O2 is
of less interest than the H2. This O2 gas is of low value if the electrolyzer should be placed
off-site, but new possibilities arise if the electrolyzer is in the proximity of a CHP or any other
combustion plant where the O2 possibly can be used beneficially in the combustion
process.[26]
2.5 Operational problems with the electrolyser
2.5.1 Contamination coverings
Unwanted formation of contamination layers in the electrolyzer is an existing problem. In the
PEM electrolyzer, the formation of oxide layers on the anode is a known problem. Research
are taking place on this and how to counter this, and related problems [13][20][27]. Suggested
solutions are to coat the anode for protection or use Titanium, for its corrosion-resistant
capabilities [13][19].
2.5.2 Limestone, metals and ”fouling”
If the water quality of the process water does not meet the specified demands of the
electrolyzer and for example contains limestone, “fouling” and other layers of contamination
can form in parts of the machine, affecting and lowering the electrolyzers work efficiency. A
high concentration of metals in the water, such as magnesium, can cause similar problems.
The best way to avoid this is to use deionized water with minimal amounts other substances.
Checking fouling and possible layers of contamination is a part of the maintenance work. [40]
2.5.3 Gas crossover
Gas crossover is a phenomenon where, for example in a PEM electrolyzer, small amounts of
unwanted O2 can be formed in the cathode and small amounts of unwanted H2 can be formed
in the anode. In this case, the O2 crossovers the membrane and mixes with the H2 flow on the
cathode side, which creates additional costs to remove the O2 and purify the gas flow.
Since the quantities of O2 gas crossing into the H2 flow are so small, this amount of O2 often
instantly reacts with a small amount of H2 and forms H2O. The water is easier to remove and
often makes the gas crossover problem less of an issue in PEM electrolyzers. This problem is
often related to the operating pressure and the thickness of the polymer membrane used in the
PEM.
10
2.6 Application of hydrogen gas H2 is quite flexible and can be used in a great many things. Since the electrolyzer uses PEM
technology, the electrolyzer can be used as a fuel cell. That opens the possibility to store H2,
produced when electricity is cheap for later use to produce electricity at times when the
electricity price is high.
H2 is commonly used in various parts of the industry [12][14][18]. The major usage of H2 is
for the production of ammonia to produce fertilizer, among other things [9] [11]. Some other
common areas of usage for H2 are listed below.
• The H2 can react with O2 in a fuel cell, creating electricity and heat. Fuel cells can for,
example, be used in vehicles and to produce electricity. Storing the H2 for later
electricity production can be favorable if electricity prices vary greatly. [25]
• By combining carbon capture and use CO2 with H2 gas, methanol can be produced.
[39]
• The H2 gas can be used in gas turbines for electricity production. [24]
• By either using a fuel cell or a gas combustion engine, the H2 gas can be used as a
fuel for vehicles. [39][28]
• H2 is a useful gas in the industry sector. Upcoming industrial projects, like HYBRIT
[36], will create a significant demand for large quantities of H2 gas in the future.
3 Theory and methods
3.1 Operation of the Electrolyzer It is known that for the water-splitting reaction to occur, the energy for ∆𝐻 must be provided,
which applies for all the electrolyzer technologies like the following:
𝐻2𝑂 → 1
2 𝑂2 + 𝐻2 𝑤ℎ𝑒𝑟𝑒 ∆𝐻 = 285,85 𝑘𝐽/𝑘𝑔 ( 1 )
Where ∆𝐻 is the sum of:
∆𝐻 = ∆𝐺 + 𝑇∆𝑆 ( 2 )
Where:
∆𝐺 = 237,13 𝑘𝐽/𝑘𝑔 ( 3 )
𝑇∆𝑆 = 48,72 𝑘𝐽/𝑘𝑔 ( 4 )
∆G is Gibbs free energy, which in this case is the minimal amount of electrical energy needed
for the reaction. To reach ∆𝐻, the remaining energy is provided by heat from the environment
in the form of entropy, here as 𝑇∆𝑆. Here is where the technologies differ.
A SOEC electrolyzer that operates with high-temperature steam can provide 𝑇∆𝑆 as heat. By
smart heat management the energy consumption decreases and efficiency increases.
ALK and PEM technologies are unable to provide the energy as heat and therefore need to
provide all energy via electricity. This means that for PEM, ∆𝐻 is equal to:
11
∆𝐺 = ∆𝐻 = 285,85 𝑘𝐽/𝑘𝑔 ( 5 )
Where the reaction for each electrode in the PEM is the following:
𝐶𝑎𝑡ℎ𝑜𝑑𝑒 𝑟𝑒𝑎𝑐𝑡𝑖𝑜𝑛: 2𝐻+ + 2𝑒− → 𝐻2 ( 6 )
𝐴𝑛𝑜𝑑𝑒 𝑟𝑒𝑎𝑐𝑡𝑖𝑜𝑛: 𝐻2𝑂 → 2𝐻+ + ½𝑂2 + 2𝑒− ( 7 )
The construction of the cells for the different electrolyzers technologies also differs and leads
to different methods for calculating their operational conditions.
The PEM electrolyzer cell consists of several metal plates with a polymeric membrane in the
center. Several of these cells together are called a stack, where the electrolysis reaction is
taking place. Each cell in the PEM requires a minimal theoretical voltage for the splitting
reaction to occur and can be calculated as the following:
𝑉𝑐𝑒𝑙𝑙,𝑡ℎ𝑒𝑜𝑟𝑒𝑡𝑖𝑐𝑎𝑙𝑙 =∆𝐻
𝑧∗𝐹= 1,48 𝑉 ( 8 )
Where Faradays constant is 𝐹 = 96485 𝑐/𝑚𝑜𝑙 and the number of electrons is Z = 2. At this
voltage, the electrolyzer will operate with 100% efficiency.
The real required voltage for the cell is going to be higher than the theoretical minimal
voltage, due to losses in the cell, as described more in section 3.1.1 & 3.1.2. Each cell also
requires a current to operate. The real required voltage and current can be calculated, but
since this is considered out of scope for this project, they are assumed as the following, based
on literature, previous and similar work [12].
𝑉𝑐𝑒𝑙𝑙 = 1,85 𝑉 ( 9 )
𝐼𝑐𝑒𝑙𝑙 = 1,6 𝐴 ( 10 )
The difference between the real and theoretical voltages results in the losses and thereby the
heat is produced in the PEM stack, which can be calculated as 𝑄𝐻𝑒𝑎𝑡,𝑒𝑙𝑒𝑐𝑡𝑟𝑜𝑙𝑦𝑧𝑒𝑟 , as shown in
section 3.1.3.
The value for 𝑉𝑐𝑒𝑙𝑙 is lowered by the operating temperature of the stack, thereby increasing
the efficiency of the stack. Here, the working temperature of the process water and the stack
are set to 80°C. The process water is under normal continuous operation preheated by the
recovered waste heat from the stack itself by a heat exchanger. The water is assumed to be
20°C before preheating and the preheating demand can be calculated as the following:
𝑄𝑝𝑟𝑒ℎ𝑒𝑎𝑡𝑖𝑛𝑔 = ��𝑤𝑎𝑡𝑒𝑟 ∗ 𝐶𝑝𝑤𝑎𝑡𝑒𝑟 ∗ (𝑇𝑂𝑝𝑒𝑟𝑎𝑡𝑖𝑛𝑔 − 𝑇𝑖𝑛𝑐𝑜𝑚𝑚𝑖𝑛𝑔) ( 11 )
The process water then forms H2 at the cathode and O2 at the anode with traces of water and
small amounts of incorrectly produced gas. The flows are then purified and the moisture and
formed water are removed, see section 3.1.4 for details.
12
3.1.1 Ohmic losses
The ohmic losses are caused by the internal resistances of the PEM cells that lead to losses in
the component in the cells. This will cause a voltage drop and hence the difference between
𝑉𝑐𝑒𝑙𝑙 and 𝑉𝑡ℎ𝑒𝑜𝑟𝑒𝑡𝑖𝑐𝑎𝑙𝑙. A linear correlation can be seen between the ohmic losses and the
current density in the cells and it can be predicted [12]. This is considered out of scope for
this project and the losses are considered and compensated for with the higher voltage
assumed for 𝑉𝑐𝑒𝑙𝑙.
3.1.2 Faradaic losses
Faradaic losses are the losses correlated to the current applied to each cell that does not result
in produced H2 or O2 [12]. An example of this is the gases that are affected by gas crossover,
which are connected to the faradaic losses, see more in section 2.5.3.
3.1.3 Heat production
While H2 is the desired gas from the reaction, heat and O2 are produced as byproducts. The
production of O2 will be handled in section 3.1.4.
The amount of heat generated in each cell can be calculated with the assumed 𝑉𝑐𝑒𝑙𝑙 and 𝐼𝑐𝑒𝑙𝑙,
along with 𝑉𝑡ℎ𝑒𝑜𝑟𝑒𝑡𝑖𝑐𝑎𝑙𝑙 as the following:
𝑄𝐻𝑒𝑎𝑡,𝑐𝑒𝑙𝑙 = (𝑉𝑐𝑒𝑙𝑙 − 𝑉𝑡ℎ𝑒𝑜𝑟𝑒𝑡𝑖𝑐𝑎𝑙𝑙) ∗ 𝐼𝑐𝑒𝑙𝑙 ( 12 )
The total heat generated in the electrolyzer can then be calculated by multiplying 𝑄𝐻𝑒𝑎𝑡,𝑐𝑒𝑙𝑙
by the number of cells in the stack n:
𝑄𝐻𝑒𝑎𝑡,𝑒𝑙𝑒𝑐𝑡𝑟𝑜𝑙𝑦𝑧𝑒𝑟 = 𝑄𝐻𝑒𝑎𝑡,𝑐𝑒𝑙𝑙 ∗ 𝑛𝑐𝑒𝑙𝑙𝑠 ( 13 )
This represents the unwanted production of heat in the electrolyzer stack, which is the amount
of cooling demand.
Along with the cooling demand for the stack, several lesser cooling flows are required. The
produced H2 and O2 flows are exiting the stack at 80°C and need to be cooled for further
treatment and purification. The amount of heat that can be recovered from these smaller flows
can be calculated as:
𝑄𝑙𝑒𝑠𝑠𝑒𝑟 𝑐𝑜𝑜𝑙𝑖𝑛𝑔 𝑓𝑙𝑜𝑤𝑠 = ��𝑔𝑎𝑠 ∗ 𝐶𝑝𝑔𝑎𝑠 ∗ (𝑇𝑒𝑙𝑒𝑐𝑡𝑟𝑜𝑙𝑦𝑧𝑒𝑟 − 𝑇𝑑𝑒𝑠𝑖𝑟𝑒𝑑) ( 14 )
Where 𝑇𝑑𝑒𝑠𝑖𝑟𝑒𝑑 is the desired cooling temperature for the target gas.
3.1.4 Water formation in anode/cathode and unwanted gas in the production
flows
Since the gas production is not 100% flawless or lossless, some amount of unwanted gas and
water will form in the anode and cathode. The quantities of the produced gases ending up in
the correct electrode can be estimated according to a faradaic efficiency, here assumed as
99% based on other literature [12][18].
Based on the faradaic efficiency and the assumed current 𝐼𝑐𝑒𝑙𝑙 multiplied with the number of
cells in the PEM stack, a relationship can be used to determine the amount of produced gases
in the anode and cathode, as the following:
13
𝑛𝐻2 𝑐𝑎𝑡ℎ𝑜𝑑𝑒 =𝐼𝑡𝑜𝑡𝑎𝑙
2∗𝐹∗ ƞ𝑓𝑎𝑟𝑎𝑑𝑎𝑖𝑐 ( 15 )
𝑛𝑂2 𝑐𝑎𝑡ℎ𝑜𝑑𝑒 =𝐼𝑡𝑜𝑡𝑎𝑙
4∗𝐹∗ (1 − ƞ𝑓𝑎𝑟𝑎𝑑𝑎𝑖𝑐) ( 16 )
𝑛𝐻2 𝑎𝑛𝑜𝑑𝑒 =𝐼𝑡𝑜𝑡𝑎𝑙
2∗𝐹∗ (1 − ƞ𝑓𝑎𝑟𝑎𝑑𝑎𝑖𝑐) ( 17 )
𝑛𝑂2 𝑎𝑛𝑜𝑑𝑒 =𝐼𝑡𝑜𝑡𝑎𝑙
4∗𝐹∗ ƞ𝑓𝑎𝑟𝑎𝑑𝑎𝑖𝑐 ( 18 )
Assuming that the flows of produced H2 and O2 gas are saturated with water vapor at 80°C,
the amount of initially formed water can be calculated accordingly:
𝑛𝐻2𝑂 𝑐𝑎𝑡ℎ𝑜𝑑𝑒 =𝑃𝑠𝑎𝑡𝑢𝑟𝑎𝑡𝑒𝑑
(𝑃𝑐𝑎𝑡ℎ𝑜𝑑𝑒−𝑃𝑠𝑎𝑡𝑢𝑟𝑎𝑡𝑒𝑑)∗ (𝑛𝐻2 𝑎𝑛𝑜𝑑𝑒 + 𝑛𝐻2 𝑐𝑎𝑡ℎ𝑜𝑑𝑒) ( 19 )
𝑛𝐻2𝑂 𝑎𝑛𝑜𝑑𝑒 =𝑃𝑠𝑎𝑡𝑢𝑟𝑎𝑡𝑒𝑑
(𝑃𝑎𝑛𝑜𝑑𝑒−𝑃𝑠𝑎𝑡𝑢𝑟𝑎𝑡𝑒𝑑)∗ (𝑛𝑂2 𝑎𝑛𝑜𝑑𝑒 + 𝑛𝑂2 𝑐𝑎𝑡ℎ𝑜𝑑𝑒) ( 20 )
The O2 that crosses into the H2 gas will eventually react with a small amount of H2 and form
water, and vice versa for the O2 flow.
3.2 Mass and Energy balance To better understand the process in the PEM electrolyzer, mass and energy balances were
calculated in the early stages of the project. For the major molar flow streams, see Figure 5.
Figure 5: Molar flow for the electrolyzer model, used in the mass balance.
For the mass balance, the sum of the mass for the produced gases must be the same as the
sum of mass for the inlet water, as the following:
∑ ��𝑂𝑢𝑡 = ∑ ��𝐼𝑛 ( 21 )
Where the theoretical sum is:
14
��𝑖𝑛 = ��𝑤𝑎𝑡𝑒𝑟 = 𝑛𝑤𝑎𝑡𝑒𝑟 ∗ 𝑀𝑤𝑎𝑡𝑒𝑟 ( 22 )
��𝑜𝑢𝑡 = ��𝐻2 + ��𝑂2 = 𝑛𝐻2 ∗ 𝑀𝐻2 + 𝑛𝑂2 ∗ 𝑀𝑂2 ( 23 )
Where M is the molar mass for H2, O2, and H2O respectively.
In reality, some losses in the production will occur, according to the relations presented in
section 3.1.4, and must be added to the ��𝑜𝑢𝑡 equation to complete the equilibrium. No deeper
calculations have been made of the production volumes beyond considering the equations
above in section 3.1.4 since it is considered out of scope in this project.
For the flow and division of the energy, see Figure 6.
Figure 6: Energy flow for the electrolyzer model.
We know from the first law of thermodynamics that the sum of energy out from the system
must be equal to the sum of energy into the system.
∑ 𝑄𝑂𝑢𝑡 = ∑ 𝑄𝐼𝑛 ( 24 )
Where the electricity demand for the surrounding equipment, such as pumps and compressors
can be subtracted in both equations, resulting in:
𝑄𝑖𝑛 = 𝑊𝑒𝑙𝑒𝑐𝑡𝑟𝑜𝑙𝑦𝑧𝑒𝑟 ( 25 )
𝑄𝑜𝑢𝑡 = 𝑄ℎ𝑒𝑎𝑡,𝑒𝑙𝑒𝑐𝑡𝑟𝑜𝑙𝑦𝑧𝑒𝑟 + 𝑄𝐻2 + 𝑄𝑂2 ( 26 )
Since the heating value for the O2 gas is zero, it means that 𝑄𝑂2 = 0. The energy in the H2 gas
can be calculated as the following:
𝑄𝐻2 = ��𝐻2 ∗ 𝐻𝐻𝑉𝐻2 ( 27 )
15
Where HHV is the higher heating value for H2 gas. The heat produced in the stack,
𝑄ℎ𝑒𝑎𝑡,𝑒𝑙𝑒𝑐𝑡𝑟𝑜𝑙𝑦𝑧𝑒𝑟, can be calculated according to the earlier mentioned equation in section
3.1.3.
The energy consumption for the water pump and the compressor can be seen respectively
below:
𝑊𝑤𝑎𝑡𝑒𝑟 𝑝𝑢𝑚𝑝 =𝑉´𝑤𝑎𝑡𝑒𝑟 ∗ (ℎ2𝑠−ℎ1)
𝜂𝑒𝑙,𝑝𝑢𝑚𝑝 ∗ 𝜂𝑖𝑠𝑒𝑛𝑡𝑟𝑜𝑝𝑖𝑐,𝑝𝑢𝑚𝑝 ( 28 )
Where 𝜂𝑒𝑙 and 𝜂𝑖𝑠𝑒𝑛𝑡𝑟𝑜𝑝𝑖𝑐 are assumed to 0,9 and 0,8 respectively.
𝑊𝑐𝑜𝑚𝑝𝑟𝑒𝑠𝑠𝑜𝑟 = ��𝑔𝑎𝑠 ∗ 𝑐𝑝𝑔𝑎𝑠 ∗ (𝑇𝑎𝑓𝑡𝑒𝑟 − 𝑇𝑏𝑒𝑓𝑜𝑟𝑒) ( 29 )
Where 𝑇𝑎𝑓𝑡𝑒𝑟 can be calculated as:
𝑇𝑎𝑓𝑡𝑒𝑟 = 𝑇𝑏𝑒𝑓𝑜𝑟𝑒 + ((273,15+𝑇𝑏𝑒𝑓𝑜𝑟𝑒)
𝜂𝑖𝑠𝑒𝑛𝑡𝑟𝑜𝑝𝑖𝑐,𝑐𝑜𝑚𝑝𝑟𝑒𝑠𝑠𝑜𝑟) ∗ ((
𝑃𝑎𝑓𝑡𝑒𝑟
𝑃𝑏𝑒𝑓𝑜𝑟𝑒)
((𝛾𝑔𝑎𝑠−1)
𝛾𝑔𝑎𝑠)
− 1) ( 30 )
Where 𝜂𝑖𝑠𝑒𝑛𝑡𝑟𝑜𝑝𝑖𝑐,𝑐𝑜𝑚𝑝𝑟𝑒𝑠𝑠𝑜𝑟 is assumed as 0,7 and 𝛾𝑔𝑎𝑠 a constant based on the ratio of the
gas Cp and Cv values.
Since the PSA purification unit is operating by a pressure differential, a compressor is needed
for operation. The work for the O2 PSA unit is hence calculated in the same way as the
equation for 𝑊𝑐𝑜𝑚𝑝𝑟𝑒𝑠𝑠𝑜𝑟 above.
3.3 Efficiency Efficiency in this case can be defined in many ways, often in the way the author sees most fit.
The most common and relatable definition is the ratio between power supply and energy
output, in the form of the energy value in the gas, in this case, based on the HHV. This can be
represented in the following way:
η𝑒𝑙𝑒𝑐𝑡𝑟𝑜𝑙𝑦𝑧𝑒𝑟
=𝐻𝐻𝑉𝐻2∗ 𝑚𝐻2
𝑄𝑡𝑜𝑡𝑎𝑙 ( 31 )
Where HHV is the higher heating value of the H2 gas, m is the mass of the produced gas and
Q is the supplied energy into the system. This can be expanded further by considering the
extraction and use of the heat produced in the system, but that has not been a priority in this
project and has not been analyzed further.
16
One more commonly used “efficiency” term is the specific energy consumption, or SEC,
which is defined by the supplied energy into the system per kg of produced H2, that is kWh /
𝑘𝑔𝐻2.
𝑆𝐸𝐶 =𝑄𝑒𝑙𝑒𝑐𝑡𝑟𝑜𝑙𝑦𝑧𝑒𝑟
𝑚𝐻2
( 32 )
3.4 Economy A budget offer request was sent out to a dozen different manufacturers, both in Sweden and
internationally, asking about important specifications related to the electrolyzer for
economical calculations. Since some important parameters and the electrolyzer size differed
between the different manufacturers, it was decided that a mean value was to be used for
important parameters that defined a base case in the economic calculations. See Table 4 and
Table 5 in section 3.4.2 below.
Several dialogs were also established under the project to different experts on companies,
universities, and organizations competent in the electrolyzer and hydrogen area, for
consultation and research purposes [3] [6] [5]. The discussion with the experts helped set the
important parameters, which is otherwise hard to obtain in open literature, such as the current
and future market of H2 and O2.
3.4.1 Production cost, payback time and Internal rate of return
The production cost, 𝑃𝑟𝑜𝑑𝐻2, was calculated as follows.
𝑃𝑟𝑜𝑑𝐻2 =𝐶𝐴𝑃𝐸𝑋𝑖𝑖+ ∑ 𝐸𝑥𝑝𝑠𝑟 + ∑ 𝑂𝑃𝐸𝑋𝑙𝑖𝑓𝑒𝑡𝑖𝑚𝑒−∑ 𝑅𝑒𝑣𝑂2,𝑙𝑖𝑓𝑒𝑡𝑖𝑚𝑒−∑ 𝑅𝑒𝑣𝐻𝑒𝑎𝑡,𝑙𝑖𝑓𝑒𝑡𝑖𝑚𝑒
𝑚𝐻2 𝑙𝑖𝑓𝑒𝑡𝑖𝑚𝑒 ( 33 )
Where 𝐶𝐴𝑃𝐸𝑋𝑖𝑖 is the initial investment cost, 𝐸𝑥𝑝𝑠𝑟 is the expenditure for the stack
replacement, 𝑅𝑒𝑣𝑂2 is the revenue made from the sale of O2 and 𝑅𝑒𝑣𝐻𝑒𝑎𝑡 is the revenue made
from waste heat recovery. The payback time, 𝑡𝑝𝑎𝑦𝑏𝑎𝑐𝑘, was calculated as follows.
𝑡𝑝𝑎𝑦𝑏𝑎𝑐𝑘 =𝐶𝐴𝑃𝐸𝑋𝑖𝑖+∑ 𝐸𝑥𝑝𝑠𝑟+∑ 𝑂𝑃𝐸𝑋𝑙𝑖𝑓𝑒𝑡𝑖𝑚𝑒−∑ 𝑅𝑒𝑣𝑂2,𝑙𝑖𝑓𝑒𝑡𝑖𝑚𝑒−∑ 𝑅𝑒𝑣𝐻𝑒𝑎𝑡,𝑙𝑖𝑓𝑒𝑡𝑖𝑚𝑒−∑ 𝑅𝑒𝑣𝐻2,𝑙𝑖𝑓𝑒𝑡𝑖𝑚𝑒
∑ 𝑇𝑜𝑡𝑎𝑙 𝑖𝑛𝑐𝑜𝑚𝑒𝑙𝑖𝑓𝑒𝑡𝑖𝑚𝑒
( 34)
Where 𝑅𝑒𝑣𝐻2 is the revenue made from the sale of H2. In addition, the internal rate of return
was calculated and later compared in a sensitivity analysis. The IRR can be derived from:
0 = 𝐶𝐴𝑃𝐸𝑋𝑖𝑖 − ∑𝐶𝑖
(1+𝐼𝑅𝑅)𝑖𝑛𝑖=1 ( 35 )
In this project, the function IRR in excel was used and no major emphasis was placed on
using the equation above. A sensitivity analysis was made for both cases with the IRR set as
the outcome value, with governing parameters differing in value from -100% to +100% from
the base case. The results can be seen in Table 9 and Table 10 in section 4.
17
3.4.2 Input data for the base case
Below are two tables consisting of the assumptions and mean values used for the base case of
the PEM electrolyzer.
Table 4: Mean values of the economic parameters, taken from response of the budget offer.
Mean values:
Parameter Value Unit
Stack Lifetime 68000 hours
Electrolyser price 13800 SEK/kW
Electrolyzer size 1,4 MW
Maintenance (as a % of the
CAPEX per year) 3,25 %
Stack replacement cost (as a
% of the original CAPEX) 35 %
The cost for maintenance and stack replacement in Table 4 is based on a percentage of the
initial investment cost, the CAPEX. The replacement of the electrolyzer stack takes place
after 68 000 hours of operation, when the efficiency of the cells in the stack have degraded
under a certain threshold set by the manufacturer. The cost of maintenance, on the other hand,
is on an annual basis.
Table 5: Assumptions used, a result from literature, discussing with competent individuals in
respective subject and with staff at E.ON [3] [4] [6] [12].
Assumptions: Linear Non-linear
Parameter Value Value Unit
Hydrogen selling price 55 55 SEK/kg
Oxygen selling price 0,5 0,5 – 0,2 SEK/kg
Earnings from heat
recovery to district
heating network
190 - 250 190 - 250 SEK/MWh
Unpredictable costs 100 100 %
Depreciation time 20 20 years
Electrical price (including taxes)
650 650 – 750 SEK/MWh
Amount of sellable
hydrogen gas 100 80 – 100 %
Amount of sellable
oxygen gas 80 70 – 100 %
18
The assumptions and mean values from Table 4 and Table 5 make up the input data for the
base case. For the base case calculations, two scenarios were made:
• Linear Case: Assuming the constant profit, expenditures, and usage over 20 years.
• Non-Linear Case: Profit, expenditures, and usage vary every year based on the
variation in input data, such as electrical price, H2 price, operational hours, etc. The
economic lifetime was kept for 20 years to be comparable with the linear case.
In both cases, the payback time, production cost for H2, and the internal rate of return were
examined, along with several sensitivity analyses on the linear case.
3.4.3 Linear case
The linear case uses the assumptions from Table 5. In addition, it was assumed that 100% of
produced H2 can be sold, 80% of O2 can be sold, and a constant electrical price of 650
SEK/MWh.
Table 6: Input values for the linear case.
The initial CAPEX cost, stack replacement costs, and the gross revenue were received from
the input data and used with the function IRR in excel to investigate the internal rate of return
for the case.
The payback time and the H2 production cost were also calculated according to equations 33
and 34 above. The payback time and production cost were also set as the resulting variables
in a series of different sensitivity analyses for the linear case, investigating the effect of
governing parameters.
3.4.4 Non-linear case
The electricity price is increasing annually and the selling price for H2 gas is expected to
steadily decline as a result of increasing demand for H2 and a larger number of suppliers in
the future, competing in the market and pushing down the H2 prices [12][20][28][32].
Research and development will also increase the lifetime of the stack and decline the cost for
electrolyzers in the future. A scenario is also likely to occur where the produced H2 and O2
are unable to generate full or any revenue due to a saturated, slow-developing, or absence of
market and it is interesting to include such scenarios. Here, it is included as a sellable
percentage of the produced gases. Since the linear case assumes all variables constant, the
purpose of the non-linear case is to be able to see the effects of an evolving electrical and H2
price, electrolyzer price, and lifetime development and market saturation, for a more realistic
estimation.
The assumptions used in the non-linear case use the numbers from Table 4 and Table 5.
19
Table 7: Input values for the non-linear case.
For the sensitivity analysis on the non-linear case, all the values in each category for the 20-
year were scaled at the same percentage.
The same calculations for the production cost and payback time were made in the non-linear
case as well.
4 Results and discussion A common practice for manufacturers of PEM electrolyzers is to sell the electrolyzer itself
with necessary auxiliary equipment as a package, skid-mounted, delivered in a container
unless the size of the electrolyzer is very large [6]. These packages often include a process
water treatment system, the electrolyzer stack, a cooling circuit for the stack (with the cooling
system often mounted at the roof of the container), purification systems for the H2 gas, and
sometimes a first stage compressor. The choice of electrolyzer technology for this project was
based on a comparison between three considered technologies and the possibility for usage as
a fuel cell.
20
Table 8: Comparison of the advantages and disadvantages with the considered technologies
[13][18][19][20][23][34][35].
ALK PEM SOEC
Maturity level: Commercial Commercial Development
Can be used as fuel
cell: No Yes Yes
Price:
(€/kW) < 1000 < 1600a > 2000b
System lifetime:
(Years) 20 + 10 + > 1b
Maintenance cost: High Lowa Highb
Contamination types: Trace of electrolyte
Trace of H2O Traces of H2O H2O
Startup time: < 1 hour < 15 min < 1 hourb
Load response time: Seconds Milliseconds Secondsb
Operational
temperature:
(°C)
~70-80 ~70-90 700-900
Purity level of
produced H2 gas:
(% H2)
~99,5 =< 99,99 ~99,9b
Operating pressure:
(Bar) < 30 < 100 < 20b
Stack lifetime:
(hours) > 70 000 ~70 000a < 20 000b
a = information partly from experts and manufacturers b = no reference provided; values estimated based on collected information
The results from the comparison are shown in Table 8, with the green letter indicate the
advantages of the technology. The PEM technology was chosen based on its many practical
advantages and relatively few drawbacks. The current rapid development of the PEM
technology was also a deciding factor.
The O2 gas usually contains moisture which needs removal before the gas usage. However, it
is rarely purified and most often just released into the surrounding air since it cannot be used
at the site of production or deemed uneconomical to purify and sell.
21
Figure 7: Process scheme for how integration and placement of the PEM electrolyzer system
at E.ON could look like.
Figure 7 shows the suggestion of H2 and O2 production system from this study, with
integration with a CHP plant. Figure 8 Shows the resulted energy balance of the system in
Sankey diagram, and Figure 9 Shows the molar balance surrounding the electrolyzer.
Water is feed from a storage tank into the electrolyzer system, passing a heat exchanger to
preheat the water to operating temperature. The operating temperature is set to 80°C, which is
common in PEM electrolyzers to reduce losses [9] (see section 3.1). The water is feed into the
electrolyzer stack and when a voltage is applied, H2 and O2 are produced along with excess
heat. The excess heat is recovered with the cooling circuit and used to preheat the process
water before being used in the district heating network. From the 1,443 MW of electricity
input into the system, 0,341 MWh results in recovered heat, as can be seen in Figure 8. An
operational pressure of 5 bar in the anode and 30 bar in the cathode was set to minimize the
losses in the production flows since operation without pressurizing anode side leads to more
losses [12] and contamination in the form of H2O. Small amount of unwanted H2 and O2 end
up in their opposite streams along with small amounts of moisture. Based on the mass balance
and equations in section 3.1.4, ~1% of the total produced H2 and O2 will end up as unwanted
gas in the opposite flows, see Figure 9. The streams contain relatively low levels of
contamination but are still in need of purification. In this project, a vertical collection tank for
the removal of liquid water and a PSA unit for steam and unwanted gases is assumed to be
sufficient equipment for purification of the production flow since the purity level from the
PEM is quite high, as can be seen in Table 8. The H2 is then purified and ready for its final
usage. The moisture collected in the purification is circulated back to the process water
storage tank.
The pressure of the H2 gas after the PSA unit is 30 bar. Since most of the uses for H2 require
the gas to be at a higher pressure, the gas is compressed to 300 bar after the purification.
Since the usage of O2 is somewhat uncertain, the gas is not compressed and remains at
atmospheric pressure after the PSA unit.
22
Figure 8: The resulting energy balance with the energy distribution in the system.
Figure 9: The molar balance with resulting production flows. Where the molar flows are
equal to a mass flow of 26,2 kg/h for the H2 and 207,6 kg/h for the O2. The required process
water flow in m3/h corresponds to 0,238 m3/h.
The entire year of operation corresponds to around 8500 hours, if we assume some time for
system startup/shutdown and maintenance. This results in a need to purchase tap water for
~4500 hours since the purification system at Åbyverket can only provide purified process
water ~4000 hours a year, in the wintertime when both boilers are active. Figure 10 shows the
times when super-clean water from Åbyverket is accessible, and with its corresponding
conductivity. Between March and October, the accessible water flow is low or nonexistent.
23
Figure 10: The mean value per month for the waterflow and the conductivity for a typical
year.
As mentioned in section 2.5, the levels of different contaminations and conductivity of the
process water should preferably be kept low. The purification system at Åbyverket are
already periodically treating tap water for the boilers under certain circumstances, and it could
be used to purify the required flow rate of tap water for the electrolyzer as well to minimize
the cost for purification.
After comparing the required mass flow of H2O from Figure 10, which correspond to 0,238
m3/h, and Figure 11, it is quite clear that the required amounts of super-clean water for the
electrolyzer operation exists at Åbyverket from October to March. The quantities are large
enough to scale up the H2 production if the interest exists. The marginal earnings made for
providing purified process water from the CHP plant instead of purchasing and purifying tap
water are unfortunately lower than 0,1 SEK/𝑘𝑔𝐻2 and are thus neglectable compared to e.g.
Electricity costs, as can be seen in Figure 11 below:
0
5
10
15
20
25
30
Jan Feb Mars April May June July Aug Sep Oct Nov Dec
Flo
w i
n m
3/h
Con
du
ctiv
ity
in
μS
/cm
2
Water flow and conductivity
Super-pure
Water flow
Conductivity
24
Figure 11: Annual expenditures and revenue from the Linear case.
The main revenue, as seen in Figure 11, comes from the sale of H2, with a smaller income
from the O2. The possible earnings for the recovery of waste heat are noticeable but will not
be relevant at this small size of electrolyzers (1,4MW). Even though the warm water flow
produced from the electrolyzer’s cooling system is quite small in comparison to the facility’s
current district heating system in this case, the heat can still be of use. A relatively small
profit is proven possible. This profit would otherwise be wasted if the placement of the
electrolyzer was off-site, and corresponds to ~1,6 SEK per kg produced H2.
Likewise, the cost for maintenance, which is the second-largest OPEX expense, affects the
outcome very little due to overwhelming share of electricity cost. Nevertheless, the process
water for the machine should be as clean as possible. Therefore, the purchased tap water,
should undergo purification on Åbyverkets existing system to minimize wear on the PEM
stack and membrane if possible. Regarding the OPEX of the electrolyzer, it is quite clear that
the electricity price is the largest expense and will have a large effect on the profitability and
therefore the production cost for H2, as seen in Figure 11. Uncertainty and fluctuation in the
electricity price will have a big impact on the yearly profit. The electricity price is directly
linked to the production cost for the H2 in addition to the CAPEX and stack replacements.
And while the assumption of 35% of the initial CAPEX seems high for the replacement cost
of stack after its lifetime, the continuous development and the expected drop in electrolyzer
price makes this cost less impactful and less of a concern as time passes [20][27][32].
From participation in webinars with different companies [6][27][32], the price for
electrolyzers are expected to fall in the coming years and the largest part of the CAPEX is
from the initial investment. So, from a CAPEX perspective, it may be beneficial to postpone
0
2
4
6
8
10
12
OPEX Revenue
M S
EK
Annual Revenue and OPEX
Waste Heat Recovery
Maintenance
EL, Waterpump
EL, 300 Bar H2
EL, PSA, O2
EL, Electrolyzer
Water Treatment
O2 Sale
H2 Sale
25
the investment for a drop in CAPEX cost and a more mature market. There is also a
connection between the size of the electrolyzer facility and the electrolyzer price. A larger
size will lead to a lower specific cost (SEK/kW). It is also hard to estimate a feasible mean
value for electrolyzers since the specific cost can differ up to 100% between manufacturers.
While postponing the investment can lead to a smaller CAPEX cost. An early investment
might on the other hand have a positive commercial impact, since the interest in H2 in
different applications is growing exponentially. Investment in green H2 production may result
in a positive environmental awareness image for the company.[6][38]
Unpredictable cost is one of the biggest uncertainties in the CAPEX calculations. Some
companies are using factors of up to 3 [3], which means that the initial investment cost is
increased by 300% due to uncertainties, while in this project, 100% is assumed. The initial
investment cost includes the PEM electrolyzer with auxiliary systems, storage equipment and
cost for installation. This does not include the cost for periodic electrolyzer stack
replacements. The initial cost is then multiplied with the uncertainty factor, in this case
doubling the initial investment cost (CAPEX). The assumption of 100% is since the
electrolyzer system is skid-mounted and delivered complete in a container, with only water,
electrical, and gas connections to be made with low problematic in the placement.
The assumption has also been made that the produced H2 generates an income directly after
the production since the study has not been able to investigate the cost for infrastructure and
final usage because of time constraints.
From the base case, the lifetime cost-benefit analyses for linear and non-linear cases were
developed. Their respective depreciation curve, resulting from the assumptions and mean
values from Table 4 and Table 5 can be seen in Figure 12 and Figure 13.
Figure 12: The linear case, resulting in a profitable investment.
In Figure 12 and Figure 13, CAPEX represents the initial and stack replacement costs.
Revenue is annual revenue, and the total cash flow is the sum of the annual earnings.
-60
-40
-20
0
20
40
60
80
0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20
M S
EK
YEARS
LINEAR DEPRECIATION CURVE
CAPEX
Revenue
Total
cash flow
Payback
time
26
Figure 13: The non-linear case, illustrating the effect of changing parameters.
The fluctuation and change in the electrical price and sell price of H2 will affect the results of
the IRR quite a bit, as seen in Figure 12 and Figure 13.
Figure 12 and Figure 13 represent the results of the two cases with total cash flow as the
purple line. Since many variables are uncertain and hard to predict over 20 years, a sensitivity
analysis was made with the internal rate of return as an indicator to investigate the outcome in
terms of profitability. The results for both cases can be seen below:
Table 9: The results from the sensitivity analysis of different variables affecting the Interest
rate on the linear case. Parameters: Original values: -100% -75% -50% -25% 0% +25% +50% +75% +100%
Hydrogen sell price (SEK/kg) 55 - INVALID INVALID -13,79% 1,73% 9,67% 16,21% 22,23% 28,01%
Sellable hydrogen (% of production) 100 INVALID INVALID INVALID -13,79% 1,73% - - - - Oxygen sell price (SEK/kg) 0,5 -1,01% -0,29% 0,41% 1,09% 1,73% 2,36% 2,97% 3,56% 4,14%
Sellable oxygen (% av production) 80 -1,01% -0,29% 0,41% 1,09% 1,73% - - - - Heat earnings winter (SEK/MWh) 200 0,63% 0,91% 1,19% 1,46% 1,73% 2,00% 2,27% 2,53% 2,78%
Heat earnings summer (SEK/MWh) 10 - - - - - - - - - Electrical price (SEK/MWh) 650 - 17,78% 13,06% 7,89% 1,73% -7,67% INVALID INVALID INVALID Electrolyzer price (SEK/kW) 13 800 - 16,69% 9,25% 4,84% 1,73% -0,66% -2,62% -4,28% -5,74%
Unpredictable costs (% of CAPEX) 100 7,83% 5,81% 4,20% 2,86% 1,73% 0,76% -0,10% -0,86% -1,55%
Operational hours (h/year): 8760 - -8,84% -4,11% -1,23% 1,73% - - - -
Figure 14: Graphical representation of the results from Table 9.
We can see in Figure 14 and Figure 15, that the H2, electrolyzer, and electricity price are
significantly influencing variables.
-60
-40
-20
0
20
40
60
80
0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20
M S
EK
YEARS
NON-LINEAR DEPRECIATION CURVE
CAPEX:
Total cash
flowPayback
timeRevenue
-20,00%
-15,00%
-10,00%
-5,00%
0,00%
5,00%
10,00%
15,00%
20,00%
25,00%
30,00%
35,00%
-100% -75% -50% -25% 0% +25% +50% +75% +100%Inte
rnal
Rat
e o
f R
etu
rn
Variable change
Sensitivity Analysis - Linear Case
Hydrogen sell price (SEK/kg)
Amount of hydrogen (% of production)
Oxygen sell price (SEK/kg)
Amount of oxygen (% av production)
Heat earnings winter (SEK/MWh)
Electrical price (SEK/MWh)
CAPEX, Electrolyzer price (SEK/kW)
Unpredictable costs (% of CAPEX)
Operational hours (h/year):
27
Table 10: The results from the sensitivity analysis of different variables affecting the Interest
rate on the non-linear case. Parameter: Original values: -100% -75% -50% -25% 0% +25% +50% +75% +100%
Hydrogen sell price (SEK/kg) 55 - 45 - INVALID INVALID INVALID -28,00% 2,33% 9,73% 15,60% 20,85%
Sellable hydrogen (% of production) 80 - 100 INVALID INVALID INVALID INVALID
- - - - Oxygen sell price (SEK/kg) 0,5 - 0,2 INVALID INVALID INVALID INVALID -28,00% -14,56% -11,59% -9,59% -8,02%
Sellable oxygen (% av production) 80 - 100 INVALID INVALID INVALID INVALID
- - - - Heat earnings winter (SEK/MWh) 200 INVALID INVALID INVALID INVALID -28,00% -16,04% -13,47% -11,78% -10,49%
Heat earnings summer (SEK/MWh) 10 - - - - - - - - - Electrical price (SEK/MWh) 650 - 745 - 14,35% 8,86% 1,88% -28,00% INVALID INVALID INVALID INVALID Electrolyzer price (SEK/kW) 13 800 - 7800 - 2,98% -4,16% -10,58% -28,00% INVALID INVALID INVALID INVALID
Unpredictable costs (% of CAPEX) 100 -14,05% -16,50% -20,90% -24,00% -28,00% INVALID INVALID INVALID INVALID Operational hours (h/year): 8760 - INVALID INVALID -13,37% -28,00% - - - -
Figure 15: Graphical representation of the results from Table 10.
As stated before, the electrical price and the H2 selling price are the two most influential
variables in terms of profitability. It is also worth noting here that a +100% to -100%
difference in the change of the separate variables are extreme cases but gives an idea of how
the internal rate of return will be affected. We can also see that the electrolyzer must be
operational 8760 hours a year to be profitable, at least with the current price assumption for
electricity of 650 SEK/MWh and H2 selling price of 55 SEK/kg.
The price for natural gas today is ~10 SEK/kg [10]. From talking with experts and
organizations, a feasible price that some companies are willing to pay for green H2 instead of
natural gas or H2 produced by fossil fuels was estimated to be around 30 SEK/kg, which is the
target production price of H2 [6][31][3]. Some experts [31] claim that the price for H2
produced by water electrolysis must drop to around 15 SEK/kg to be able to compete with
fossil produced H2 or natural gas. At first glance, this claim can seem rather unrealistic.
However, several experts are predicting and expecting the price of H2 to reach those levels in
a near future [31][3][37]. The results from the linear and non-linear production costs can be
seen below, over a 20-year operational time:
-40,00%
-30,00%
-20,00%
-10,00%
0,00%
10,00%
20,00%
30,00%
-100% -75% -50% -25% 0% +25% +50% +75% +100%
Inte
rnal
Rat
e o
f R
eturn
Variable change
Sensitivity Analysis - Non linear Case
Hydrogen sell price (SEK/kg)
Amount of hydrogen (% of production)
Oxygen sell price (SEK/kg)
Amount of oxygen (% av production)
Heat earnings winter (SEK/MWh)
Electrical price (SEK/MWh)
CAPEX, Electrolyzer price (SEK/kW)
Unpredictable costs (% of CAPEX)
Operational hours (h/year):
28
Table 11: The H2 production price, electricity price and payback time of the two different
cases.
CASE: LINEAR NON-LINEAR
H2 PRODUCTION
PRICE: 53,4 SEK/kg 58,1 SEK/kg
ELECTRICAL PRICE: (INCLUDING TAXES)
650 SEK/MWh 650 – 750 SEK/MWh
PAYBACK TIME 18,2 Years > 20 Years
As mentioned earlier, the electricity price is a driving factor in the production price. Sweden
has a different tax on electricity compared to other countries in Europe. Portugal, for
example, had electricity prices of 100 SEK/MWh during the summer of 2020 from solar cell
production [21]. If the price of electricity in Sweden fall as low as that summer in Portugal,
H2 production by electrolyzers would be very competitive with its fossil fuel counterparts. An
electrical price of 100 SEK/MWh would result in a production cost of ~18,4 SEK/kg for the
linear case and ~18,2 SEK/kg for the non-linear case. The electricity price needs to be ~290
SEK/MWh for an H2 production cost to become below 30 SEK/kg.
5 Conclusions To answer the question if it is possible to integrate a PEM electrolyzer at a CHP plant in a
resource-efficient way, the answer is yes. But the profitability of the investment is highly
dependent on a number of uncertain factors, such as electricity price and the potential market
for H2 gas. Integration and implementation of the electrolyzer at E.ON are expected to be of
low complexity.
The expected initial cost for a 1,4 MW PEM electrolyzer with auxiliary systems is
approximately 50 Milllion SEK (62 including stack replacements). The payback time for the
assumed base-case is 18 years, with an IRR of 1,73%. However, given the uncertainties that
exist, the IRR may vary between approximately IRR < 0% and 35%.
If the electricity price is lower or the H2 selling price is higher compared to the base case,
good profitability can be expected, assuming the prices are market competitive. This also
assumes guaranteed stable sales of the H2.
Important areas like the internal usage of O2 at E.ON and the cost for infrastructure require
further work and research to be entirely certain of the profitability. These, among other areas,
will most certainly have an unknown effect on the results and needs to be investigated for a
final verdict to be made.
29
6 Future work Since there was not enough time to investigate all the possible usages and benefits with H2
production on a CHP plant, some areas have not been investigated. These areas require
further work in order to determine the actual potential of the proposed process integration.
The most important areas for continued work are listed below.
6.1 Internal usage of O2 The benefits that the O2 gas can contribute to are not investigated under this project, due to
time constraints. A possible profit can be made from the usage of extra O2 gas in the process
air for the combustion process. This in turn could lead to a different ratio of exhaust gases,
such as a lower percentage of NOx or CO2 emissions. That could lead to a lower tax, and
possibly lower the cost for the plant and the environmental impact.
6.2 Market for H2 and O2 The economical calculations in this project assume that the produced gas is sold directly when
it is produced. In reality, there are several stages between the end of the production and its
final use. If there is no internal usage in the CHP plant, all the gases are either sold or stored.
Deeper insight is needed on the local and regional market for H2 gas and the potential
customers and consumers of H2 and possibly O2 gas.
6.3 Infrastructure No depth work has been carried out in the infrastructure area. This is an important area that
will include possible final usages for the gases and the costs for the needed infrastructure
surrounding them. Some possible scenarios are compression for storage or selling the gas,
usage internally with the need of a tanking station for vehicles, or by a local gas network for
distribution around the Örebro area.
30
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