<?xml version="1.0" encoding="UTF-8"?><!DOCTYPE article  PUBLIC "-//NLM//DTD Journal Publishing DTD v3.0 20080202//EN" "http://dtd.nlm.nih.gov/publishing/3.0/journalpublishing3.dtd"><article xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" dtd-version="3.0" xml:lang="en" article-type="research article"><front><journal-meta><journal-id journal-id-type="publisher-id">JPEE</journal-id><journal-title-group><journal-title>Journal of Power and Energy Engineering</journal-title></journal-title-group><issn pub-type="epub">2327-588X</issn><publisher><publisher-name>Scientific Research Publishing</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.4236/jpee.2017.510003</article-id><article-id pub-id-type="publisher-id">JPEE-79985</article-id><article-categories><subj-group subj-group-type="heading"><subject>Articles</subject></subj-group><subj-group subj-group-type="Discipline-v2"><subject>Engineering</subject></subj-group></article-categories><title-group><article-title>
 
 
  An Analytical Model for the Electrolyser Performance Derived from Materials Parameters
 
</article-title></title-group><contrib-group><contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Noris</surname><given-names>Gallandat</given-names></name><xref ref-type="aff" rid="aff1"><sup>1</sup></xref></contrib><contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Krzysztof</surname><given-names>Romanowicz</given-names></name><xref ref-type="aff" rid="aff2"><sup>2</sup></xref></contrib><contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Andreas</surname><given-names>Züttel</given-names></name><xref ref-type="aff" rid="aff3"><sup>3</sup></xref><xref ref-type="corresp" rid="cor1"><sup>*</sup></xref></contrib></contrib-group><aff id="aff3"><addr-line>Empa Materials Science &amp;amp; Technology, Dübendorf, Switzerland</addr-line></aff><aff id="aff2"><addr-line>GRZ Technologies Ltd., Sion, Switzerland</addr-line></aff><aff id="aff1"><addr-line>Institute of Chemical Sciences and Engineering (ISIC), Basic Science Faculty (SB), 
école polytechnique fédérale de Lausanne (EPFL), Lausanne, Switzerland</addr-line></aff><author-notes><corresp id="cor1">* E-mail:<email>andreas.zuettel@epfl.ch(AZ)</email>;</corresp></author-notes><pub-date pub-type="epub"><day>25</day><month>10</month><year>2017</year></pub-date><volume>05</volume><issue>10</issue><fpage>34</fpage><lpage>49</lpage><history><date date-type="received"><day>16,</day>	<month>September</month>	<year>2017</year></date><date date-type="rev-recd"><day>27,</day>	<month>October</month>	<year>2017</year>	</date><date date-type="accepted"><day>30,</day>	<month>October</month>	<year>2017</year></date></history><permissions><copyright-statement>&#169; Copyright  2014 by authors and Scientific Research Publishing Inc. </copyright-statement><copyright-year>2014</copyright-year><license><license-p>This work is licensed under the Creative Commons Attribution International License (CC BY). http://creativecommons.org/licenses/by/4.0/</license-p></license></permissions><abstract><p>
 
 
  Hydrogen is seen as a key element for the transition from a fossil fuel based economy to a renewable, sustainable economy. Hydrogen can be used either directly as an energy carrier or as a feedstock for the reduction of CO
  <sub>2</sub> to synthetic hydrocarbons. Hydrogen can be produced by electrolysis, decomposing water in oxygen and hydrogen. This paper presents an overview of the three major electrolysis technologies: acidic (PEM), alkaline (AEL) and solid oxide electrolysis (SOEC). An updated list of existing electrolysers and commercial providers is provided. Most interestingly, the specific prices of commercial devices are also given when available. Despite tremendous development of the PEM technology in the past decades, the largest and most efficient electrolysers are still alkaline. Thus, this technology is expected to play a key role in the transition to the hydrogen society. A detailed description of the components in an alkaline electrolyser and an analytical model of the process are provided. The analytical model allows investigating the influence of the different operating parameters on the efficiency. Specifically, the effect of temperature on the electrolyte conductivity—and thus on the efficiency—is analyzed. It is found that in the typical range of operating temperatures for alkaline electrolysers of 65&#176;C - 220&#176;C, the efficiency varies by up to 3.5 percentage points, increasing from 80% to 83.5% at 65&#176;C and 220&#176;C, respectively.
 
</p></abstract><kwd-group><kwd>Electrolysis</kwd><kwd> Hydrogen Production</kwd><kwd> Analytical Modeling</kwd><kwd>  Technology Overview</kwd></kwd-group></article-meta></front><body><sec id="s1"><title>1. Introduction</title><p>The tremendous economic development of the 20<sup>th</sup> century was largely driven by the availability of abundant, cheap fossil fuels. However, there is now a consensus within the scientific community that CO<sub>2</sub> emissions due to fossil fuel combustion are directly correlated with the ongoing climate change [<xref ref-type="bibr" rid="scirp.79985-ref1">1</xref>] . In order to slow down climate change and to prevent the resulting dramatic consequences, there is a need for new, renewable energy sources. The transition from a fossil fuel―to a renewable energy based economy―is already happening in certain countries. In Germany, the contribution of solar electricity to the total electrical consumption increased from less than 0.5% in 2005 to 7.5% in 2015 [<xref ref-type="bibr" rid="scirp.79985-ref2">2</xref>] . However, there is one important drawback of renewable energy sources such as wind and solar: these types of energy sources cannot be controlled and are poorly predictable. Thus, new energy storage capacities have to be built to match the energy supply and demand both timely and geographically. Hydrogen has emerged as a possible energy vector to bridge that gap. Hydrogen could be used directly as an energy vector or as a feedstock for the production of synthetic hydrocarbons via carbon dioxide reduction [<xref ref-type="bibr" rid="scirp.79985-ref3">3</xref>] [<xref ref-type="bibr" rid="scirp.79985-ref4">4</xref>] . Both approaches are shown graphically in <xref ref-type="fig" rid="fig1">Figure 1</xref>. In the first case (left), hydrogen is produced by using renewable electricity sources through the electrolysis process. The oxygen is released in the atmosphere, and the hydrogen is stored. Upon demand, hydrogen is combusted in order to recover energy, for instance in a fuel cell or in a conventional combustion engine. The synthetic fuel cycle (right) is similar. However, the key difference is that CO<sub>2</sub> is included in that cycle. Therefore, synthetic hydrocarbons are produced. The strong advantage of this cycle is the fact that the distribution channels and users’ customs do not need to be changed. The challenge lies in the addition of a relatively complex step in the process, i.e. the capture of CO<sub>2</sub> from ambient air. In both cases, the advantage is the absence of net CO<sub>2</sub> emissions.</p><p>Regardless of the approach chosen, the production of hydrogen by electrolysis is a key step of the process. There exist three main types of electrolysers, classified based on the ion transferred: Acidic (PEM) electrolysers, alkaline (AEL) and solid oxide electrolysers (SOEC).</p></sec><sec id="s2"><title>2. Technology Overview</title><p>Electrolysis is based on the splitting of water by means of an electrical potential (dissociation of the water molecule in an electrical field). Hydrogen is evolved on the cathode (−) and oxygen on the anode (+). Between the electrodes is an electrolyte, which acts as an electrical insulator and ionic conductor. The ions transferred between the electrodes are, either H<sup>+</sup>, OH<sup>−</sup> or O 2 − and the corresponding electrolysers are called polymer electrolyte membrane, acidic (PEM), alkaline or solid oxide electrolyte. The schematic principle of the three different types of electrolysers is summarized in <xref ref-type="fig" rid="fig2">Figure 2</xref>. A membrane separates the evolved gases H<sub>2</sub> and O<sub>2</sub> between the electrodes. The membrane has to fulfill several</p><p>requirements, e.g. stability under operating conditions, separation of the gases, mechanical separation of the electrodes, ion conduction and mechanical support for pressure differences between the two sides in the cell.</p><p>The electrolysers are operated under different conditions such as pressure and temperature. Typically, PEM and AEL devices operate at moderate temperatures (&lt;80˚C and &lt;220˚C, respectively) while solid oxide electrolysers operate at elevated temperatures (&gt;600˚C). A summary of the typical key operating parameters for the three types of technologies is shown in <xref ref-type="table" rid="table1">Table 1</xref>.</p><p>In general, PEM electrolysers have a low hydrogen production capacity (&lt;30 Nm<sup>3</sup>/h) and a moderate efficiency while AEL electrolysers have larger production capacity and a higher efficiency. The energy required to produce 1 Nm<sup>3</sup> of hydrogen is plotted versus the hydrogen production rate for several installations in <xref ref-type="fig" rid="fig3">Figure 3</xref>. The lower horizontal axis shows the energy content of the produced hydrogen stream based on the Higher Heating Value (HHV)―i.e. the minimal power required to produce that quantity of energy at a 100% conversion efficiency. Thereby, the difference is made between the PEM electrolyser efficiency of the full system or the stack only, which is sometimes reported in the documentation.</p>


<table-wrap id="table1" ><label><xref ref-type="table" rid="table1">Table 1</xref></label><caption><title> The three main types of electrolysers with their characteristic parameters and typical operating conditions</title></caption>
</table-wrap>
</sec>
</body>

<back><ref-list><title>References</title><ref id="scirp.79985-ref1"><label>1</label><mixed-citation publication-type="other" xlink:type="simple">Stocker, T.F., et al. (2013) IPCC, 2013: Climate Change 2013: The Physical Science Basis. Contribution of Working Group I to the Fifth Assessment Report of the Intergovernmental Panel on Climate Change.</mixed-citation></ref><ref id="scirp.79985-ref2"><label>2</label><mixed-citation publication-type="other" xlink:type="simple">Wirth, H. and Schneider, K. (2013) Recent Facts about Photovoltaics in Germany. Fraunhofer Institute for Solar Energy Systems ISE, Freiburg.</mixed-citation></ref><ref id="scirp.79985-ref3"><label>3</label><mixed-citation publication-type="other" xlink:type="simple">Schlapbach, L. and Züttel, A. (2001) Hydrogen-Storage Materials for Mobile Applications. Nature, 414, 353-358. https://doi.org/10.1038/35104634</mixed-citation></ref><ref id="scirp.79985-ref4"><label>4</label><mixed-citation publication-type="other" xlink:type="simple">Züttel, A., Mauron, P., Kato, S., Callini, E., Holzer, M. and Huang, J. (2015) Storage of Renewable Energy by Reduction of CO2 with Hydrogen. Chimia, 69, 264-268.https://doi.org/10.2533/chimia.2015.264</mixed-citation></ref><ref id="scirp.79985-ref5"><label>5</label><mixed-citation publication-type="other" xlink:type="simple">US DoE (2004) Fuel Cell Handbook. EG &amp; G Technical Services, Morgantown.</mixed-citation></ref><ref id="scirp.79985-ref6"><label>6</label><mixed-citation publication-type="other" xlink:type="simple">Bernadet, L., Gousseau, G., Chatroux, A., Laurencin, J., Mauvy, F. and Reytier, M. (2015) Influence of Pressure on Solid Oxide Electrolysis Cells Investigated by Experimental and Modeling Approach. International Journal of Hydrogen Energy, 40, 12918-12928. https://doi.org/10.1016/j.ijhydene.2015.07.099</mixed-citation></ref><ref id="scirp.79985-ref7"><label>7</label><mixed-citation publication-type="other" xlink:type="simple">Siemens (2016) SILYZER-Hydrogen Solutions-Siemens. https://www.industry.siemens.com/topics/global/en/pem-electrolyzer/silyzer/pages/silyzer.aspx</mixed-citation></ref><ref id="scirp.79985-ref8"><label>8</label><mixed-citation publication-type="other" xlink:type="simple">Ulleberg, O. (2016) Local Hydrogen Supply for Energy Applications. World Hydrogen Energy Conference (WHEC), Zaragoza, 13-16 June 2016.</mixed-citation></ref><ref id="scirp.79985-ref9"><label>9</label><mixed-citation publication-type="other" xlink:type="simple">Bertuccioli, L., Chan, A., Hart, D., Lehner, F., Madden, B. and Standen, E. (2014) Development of Water Electrolysis in the European Union. Fuel Cells Hydrogen Joint Undertakings, Lausanne.</mixed-citation></ref><ref id="scirp.79985-ref10"><label>10</label><mixed-citation publication-type="other" xlink:type="simple">Smolinka, T. (2014) Water Electrolysis: Status and Potential for Development. Fraunhofer Institute for Solar Energy Systems ISE, Freiburg.</mixed-citation></ref><ref id="scirp.79985-ref11"><label>11</label><mixed-citation publication-type="journal" xlink:type="simple"><name name-style="western"><surname>LeRoy</surname><given-names> R.L. </given-names></name>,<etal>et al</etal>. (<year>1983</year>)<article-title>Industrial Water Electrolysis: Present and Future</article-title><source> International Journal of Hydrogen Energy</source><volume> 8</volume>,<fpage> 401</fpage>-<lpage>417</lpage>.<pub-id pub-id-type="doi"></pub-id></mixed-citation></ref><ref id="scirp.79985-ref12"><label>12</label><mixed-citation publication-type="journal" xlink:type="simple"><name name-style="western"><surname>Ulleberg</surname><given-names> O. </given-names></name>,<etal>et al</etal>. (<year>2003</year>)<article-title>Modeling of Advanced Alkaline Electrolyzers: A System Simulation Approach</article-title><source> International Journal of Hydrogen Energy</source><volume> 28</volume>,<fpage> 21</fpage>-<lpage>33</lpage>.<pub-id pub-id-type="doi"></pub-id></mixed-citation></ref><ref id="scirp.79985-ref13"><label>13</label><mixed-citation publication-type="other" xlink:type="simple">Rosa, V.M., Santos, M.B.F. and Da Silva, E.P. (1995) New Materials for Water Electrolysis Diaphragms. International Journal of Hydrogen Energy, 20, 697-700.</mixed-citation></ref><ref id="scirp.79985-ref14"><label>14</label><mixed-citation publication-type="other" xlink:type="simple">Hickner, M.A., Ghassemi, H., Kim, Y.S., Einsla, B.R. and McGrath, J.E. (2004) Alternative Polymer Systems for Proton Exchange Membranes (PEMs). Chemical Reviews, 104, 4587-4612. https://doi.org/10.1021/cr020711a</mixed-citation></ref><ref id="scirp.79985-ref15"><label>15</label><mixed-citation publication-type="other" xlink:type="simple">Oldham, K. and Myland, J. (2012) Fundamentals of Electrochemical Science. Elsevier.</mixed-citation></ref><ref id="scirp.79985-ref16"><label>16</label><mixed-citation publication-type="other" xlink:type="simple">Janjua, M.B.I. and Le Roy, R.L. (1985) Electrocatalyst Performance in Industrial Water Electrolysers. International Journal of Hydrogen Energy, 10, 11-19.</mixed-citation></ref><ref id="scirp.79985-ref17"><label>17</label><mixed-citation publication-type="other" xlink:type="simple">Dyer, C.K. (1985) Improved Nickel Anodes for Industrial Water Electrolyzers. Journal of the Electrochemical Society, 132, 64-67. https://doi.org/10.1149/1.2113793</mixed-citation></ref><ref id="scirp.79985-ref18"><label>18</label><mixed-citation publication-type="other" xlink:type="simple">Kim, S., Koratkar, N., Karabacak, T. and Lu, T.-M. (2006) Water Electrolysis Activated by Ru Nanorod Array Electrodes. Applied Physics Letters, 88, Article ID: 263106. https://doi.org/10.1063/1.2218042</mixed-citation></ref><ref id="scirp.79985-ref19"><label>19</label><mixed-citation publication-type="other" xlink:type="simple">Renaud, R. and Le Roy, R.L. (1982) Separator Materials for Use in Alkaline Water Electrolysers. International Journal of Hydrogen Energy, 7, 155-166.</mixed-citation></ref><ref id="scirp.79985-ref20"><label>20</label><mixed-citation publication-type="other" xlink:type="simple">Vermeiren, P., Adriansens, W. and Leysen, R. (1996) Zirfon: A New Separator for Ni H2 Batteries and Alkaline Fuel Cells. International Journal of Hydrogen Energy, 21, 679-684.</mixed-citation></ref><ref id="scirp.79985-ref21"><label>21</label><mixed-citation publication-type="journal" xlink:type="simple"><name name-style="western"><surname>Burnat</surname><given-names> et al. </given-names></name>,<etal>et al</etal>. (<year>2015</year>)<article-title>Composite Membranes for Alkaline Electrolysis Based on Polysulfone and Mineral Fillers</article-title><source> Journal of Power Sources</source><volume> 291</volume>,<fpage> 163</fpage>-<lpage>172</lpage>.<pub-id pub-id-type="doi"></pub-id></mixed-citation></ref><ref id="scirp.79985-ref22"><label>22</label><mixed-citation publication-type="other" xlink:type="simple">Zeng, K. and Zhang, D. (2010) Recent Progress in Alkaline Water Electrolysis for Hydrogen Production and Applications. Progress in Energy and Combustion Science, 36, 307-326.</mixed-citation></ref><ref id="scirp.79985-ref23"><label>23</label><mixed-citation publication-type="other" xlink:type="simple">Yushkevich, V.Y., Maksimova, I.N. and Bullan, V.G. (1967) Electrical Conductivity of Potassium Hydroxide Solutions at High Temperatures. Elektrokhimiya, 3, 1491-1493.</mixed-citation></ref><ref id="scirp.79985-ref24"><label>24</label><mixed-citation publication-type="other" xlink:type="simple">Etsell, T.H. and Flengas, S.N. (1970) Electrical Properties of Solid Oxide Electrolytes. Chemical Reviews, 70, 339-376. https://doi.org/10.1021/cr60265a003</mixed-citation></ref><ref id="scirp.79985-ref25"><label>25</label><mixed-citation publication-type="other" xlink:type="simple">Lee, C.H., Park, H.B., Lee, Y.M. and Lee, R.D. (2005) Importance of Proton Conductivity Measurement in Polymer Electrolyte Membrane for Fuel Cell Application. Industrial &amp; Engineering Chemistry Research, 44, 7617-7626. https://doi.org/10.1021/ie0501172</mixed-citation></ref></ref-list></back></article>