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Such optimizations commonly assume either a Block or Cosine Theta coil type, which is then filled with (pre-determined) rectangular or key-stoned Rutherford cables. By optimizing the positions, angles and the number of turns, the field quality requirements and cost minimization are achieved. However, this leaves to wonder what the optimal coil geometry looks like, when such practical constraints are not present. Although such a coil cross-section has always been presented as the intersection between two ellipses, this method results in a non-circular aperture and is thus not fully representative of a realistic coil. This paper introduces a method in which organically shaped (non-graded) dipole coil layouts are optimized without any assumptions on the conductor. The resulting layouts are presented as a function of overall current density, aperture size and required magnetic field (inside the aperture). The layouts presented should be viewed as an ultimate limit of what can be achieved, for comparison with real coil layouts, and as an initial guide for finding an optimal cross-section for a realistic magnet. van Nugteren, Jeroen; Wolf, Felix; Murtomäki, Jaakko Samuel; Kirby, Glyn; de Rijk, Gijs; Ten Kate, Herman; Rossi, Lucio" /> <meta name="keywords" content="CERN Document Server, WebSearch, CERN Document Server" /> <script type="text/javascript" src="https://cds.cern.ch/js/jquery.min.js"></script>  <link rel="stylesheet" href="https://cds.cern.ch/img/webnews.css" type="text/css" />  <script type="text/javascript" src="https://cds.cern.ch/js/webnews.js?v=20131009"></script> <meta property="fb:app_id" content="137353533001720"/> <script type="text/x-mathjax-config"> MathJax.Hub.Config({ tex2jax: {inlineMath: [['$','$']], processEscapes: true}, showProcessingMessages: false, messageStyle: "none" }); </script> <script src="/MathJax/MathJax.js?config=TeX-AMS_CHTML" type="text/javascript"> </script>  <meta content="submitter : Idealized Coil Cross-Sections with Minimized Conductor Area for High Field Dipoles" name="citation_title" /> <meta content="van Nugteren, Jeroen" name="citation_author" /> <meta content="Murtomäki, Jaakko Samuel" name="citation_author" /> <meta content="Rossi, Lucio" name="citation_author" /> <meta content="Kirby, Glyn" name="citation_author" /> <meta content="Ten Kate, Herman" name="citation_author" /> <meta content="de Rijk, Gijs" name="citation_author" /> <meta content="Wolf, Felix" name="citation_author" /> <meta content="10.1109/TASC.2018.2795536" name="citation_doi" /> <meta content="IEEE Trans. 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Supercond." name="citation_journal_title" /> <meta content="29" name="citation_volume" /> <meta content="4901505" name="citation_firstpage" /> <meta content="2018" name="citation_publication_date" /> <meta name="citation_online_date" content="2019/05/28"> <meta content="10.1109/TASC.2018.2795536" name="citation_doi" />  <meta content="submitter" property="og:title" /> <meta content="Idealized Coil Cross-Sections with Minimized Conductor Area for High Field Dipoles" property="og:title" /> <meta content="crossref" property="og:title" /> <meta content="website" property="og:type" /> <meta content="website" property="og:type" /> <meta content="https://cds.cern.ch/record/2676561" property="og:url" /> <meta content="CERN Document Server" property="og:site_name" /> <meta content="submitter" property="og:description" /> <meta content="In the design of superconducting accelerator magnets, the shape of the coil cross-section is mainly driven by the minimization of the conductor volume, constrained by requirements on the central magnetic field and its homogeneity. Such optimizations commonly assume either a Block or Cosine Theta coil type, which is then filled with (pre-determined) rectangular or key-stoned Rutherford cables. By optimizing the positions, angles and the number of turns, the field quality requirements and cost minimization are achieved. However, this leaves to wonder what the optimal coil geometry looks like, when such practical constraints are not present. Although such a coil cross-section has always been presented as the intersection between two ellipses, this method results in a non-circular aperture and is thus not fully representative of a realistic coil. This paper introduces a method in which organically shaped (non-graded) dipole coil layouts are optimized without any assumptions on the conductor. The resulting layouts are presented as a function of overall current density, aperture size and required magnetic field (inside the aperture). The layouts presented should be viewed as an ultimate limit of what can be achieved, for comparison with real coil layouts, and as an initial guide for finding an optimal cross-section for a realistic magnet." property="og:description" />  <meta content="summary" name="twitter:card" /> <meta content="summary" name="twitter:card" /> <style></style> </head> <body class="CERN32Document32Server search" lang="en">  <div id="cern-toolbar"> <h1><a href="http://cern.ch" title="CERN">CERN <span>Accelerating science</span></a></h1> <ul> <li class="cern-accountlinks"><a class="cern-account" href="https://cds.cern.ch/youraccount/login?ln=en&referer=https%3A//cds.cern.ch/record/2676561%3Fln%3Den" title="Sign in to your CERN account">Sign in</a></li> <li><a class="cern-directory" href="http://cern.ch/directory" title="Search CERN resources and browse the directory">Directory</a></li> </ul> </div>   <div role="banner" class="clearfix" id="header"> <div class="header-inner inner"> <hgroup class="clearfix"> <h2 id="site-name"> <a rel="home" title="Home" href="/"><span>CERN Document Server</span></a> </h2> <h3 id="site-slogan">Access articles, reports and multimedia content in HEP</h3> </hgroup> <div role="navigation" id="main-navigation" class="cdsmenu"> <h2 class="element-invisible">Main menu</h2><ul class="links inline clearfix"> <li class="menu-386 first active-trail"><a class="active-trail" href="https://cds.cern.ch/?ln=en">Search</a></li> <li class="menu-444 "><a class="" title="" href="https://cds.cern.ch/submit?ln=en">Submit</a></li> <li class="menu-426 "><a class="" href="https://cds.cern.ch/help/?ln=en">Help</a></li> <li class="leaf hassubcdsmenu"> <a hreflang="en" class="header" href="https://cds.cern.ch/youraccount/display?ln=en">Personalize</a> <ul class="subsubcdsmenu"><li><a href="https://cds.cern.ch/youralerts/list?ln=en">Your alerts</a></li><li><a href="https://cds.cern.ch/yourbaskets/display?ln=en">Your baskets</a></li><li><a href="https://cds.cern.ch/yourcomments?ln=en">Your comments</a></li><li><a href="https://cds.cern.ch/youralerts/display?ln=en">Your searches</a></li></ul></li> </ul> </div> </div> </div>  <table class="navtrailbox"> <tr> <td class="navtrailboxbody"> <a href="/?ln=en" class="navtrail">Home</a> > Idealized Coil Cross-Sections with Minimized Conductor Area for High Field Dipoles </td> </tr> </table> </div> <div class="pagebody"><div class="pagebodystripemiddle"> <div class="detailedrecordbox"> <div class="detailedrecordtabs"> <div> <ul class="detailedrecordtabs"><li class="on first"><a href="/record/2676561/?ln=en">Information </a></li><li class="disabled"><a>Files </a></li></ul> <div id="tabsSpacer" style="clear:both;height:0px"> </div></div> </div> <div class="detailedrecordboxcontent"> <div class="top-left-folded"></div> <div class="top-right-folded"></div> <div class="inside">  <abbr class="unapi-id" title="2676561"></abbr> <style type="text/css">  </style> <table class="formatRecordTableFullWidth" > <tr> <td class="formatRecordHeader" style="background-image: url('https://cds.cern.ch/img/journals.jpg');" colspan="2">  <a style="color:#fff;text-decoration:none" href="https://cds.cern.ch/collection/Published%20Articles">Published Articles</a> </td> </tr> <script type="text/javascript"> $( document ).ready(function() { $('.showAuthor').on('click', function() { var author = '<p>' + $(this).data('name') + '</p>'; var affiliation = $(this).data('affiliation') + '</br>'; var contribution = $(this).data('contribution') + '</br>'; $.magnificPopup.open({ items: { src: '<div id="ovelary-mathjax" class="overlay-white oc-content overlay-white-500">' + author + affiliation + contribution + '</div>', type: 'inline' }, callbacks: { open: function() { var div = document.getElementById("overlay-mathjax") MathJax.Hub.Queue(["Typeset", MathJax.Hub, div]); }, } }) }) }); </script> <tr><td class="formatRecordLabel"> Title </td><td style="padding-left:5px;"><b>Idealized Coil Cross-Sections with Minimized Conductor Area for High Field Dipoles</b></td></tr> <tr><td class="formatRecordLabel" style="vertical-align:top;">Related title</td><td style="padding-left:5px; ">Idealized Coil Cross-Sections with Minimized Conductor Area for High Field Dipoles<br/></td></tr> <tr><td class="formatRecordLabel"><span style="white-space:nowrap;"> Author(s) </span> </td><td style="padding-left:5px;"><a href="https://cds.cern.ch/search?f=author&p=van%20Nugteren%2C%20Jeroen&ln=en">van Nugteren, Jeroen</a> (CERN) ; <a href="https://cds.cern.ch/search?f=author&p=Wolf%2C%20Felix&ln=en">Wolf, Felix</a> (CERN) ; <a href="https://cds.cern.ch/search?f=author&p=Murtom%C3%A4ki%2C%20Jaakko%20Samuel&ln=en">Murtomäki, Jaakko Samuel</a> (CERN) ; <a href="https://cds.cern.ch/search?f=author&p=Kirby%2C%20Glyn&ln=en">Kirby, Glyn</a> (CERN) ; <a href="https://cds.cern.ch/search?f=author&p=de%20Rijk%2C%20Gijs&ln=en">de Rijk, Gijs</a> (CERN) ; <a href="https://cds.cern.ch/search?f=author&p=Ten%20Kate%2C%20Herman&ln=en">Ten Kate, Herman</a> (CERN) ; <a href="https://cds.cern.ch/search?f=author&p=Rossi%2C%20Lucio&ln=en">Rossi, Lucio</a> (CERN)</td></tr> <tr><td class="formatRecordLabel"> Publication </td><td style="padding-left:5px;">2018</td></tr> <tr><td class="formatRecordLabel"> Number of pages </td><td style="padding-left:5px;">5</td></tr> <tr><td class="formatRecordLabel"> In: </td><td style="padding-left:5px;"><a href="http://dx.doi.org/10.1109/TASC.2018.2795536"><i>IEEE Trans. Appl. Supercond.</i> 29 (2018) 4901505</a> </a></td></tr> <tr><td class="formatRecordLabel"> In: </td><td style="padding-left:5px;"><a href="https://cds.cern.ch/record/2306288">25th International Conference on Magnet Technology</a>, Amsterdam, The Netherlands, 27 Aug - 1 Sep 2017, pp.4901505</td></tr> <tr><td class="formatRecordLabel"> DOI </td><td style="padding-left:5px;"><a href="http://dx.doi.org/10.1109/TASC.2018.2795536" title="DOI" target="_blank">10.1109/TASC.2018.2795536</a> <tr><td class="formatRecordLabel"> Subject category </td><td style="padding-left:5px;">Accelerators and Storage Rings</td></tr> <tr><td class="formatRecordLabel"> Abstract </td><td style="padding-left:5px;">In the design of superconducting accelerator magnets, the shape of the coil cross-section is mainly driven by the minimization of the conductor volume, constrained by requirements on the central magnetic field and its homogeneity. Such optimizations commonly assume either a Block or Cosine Theta coil type, which is then filled with (pre-determined) rectangular or key-stoned Rutherford cables. By optimizing the positions, angles and the number of turns, the field quality requirements and cost minimization are achieved. However, this leaves to wonder what the optimal coil geometry looks like, when such practical constraints are not present. Although such a coil cross-section has always been presented as the intersection between two ellipses, this method results in a non-circular aperture and is thus not fully representative of a realistic coil. This paper introduces a method in which organically shaped (non-graded) dipole coil layouts are optimized without any assumptions on the conductor. The resulting layouts are presented as a function of overall current density, aperture size and required magnetic field (inside the aperture). The layouts presented should be viewed as an ultimate limit of what can be achieved, for comparison with real coil layouts, and as an initial guide for finding an optimal cross-section for a realistic magnet.</td></tr> </table> <br/>Corresponding record in: <a href="http://inspirehep.net/record/1653092">Inspire</a> <small> </small> <br/> <br/><br/><div align="right"><div style="padding-bottom:2px;padding-top:30px;"><span class="moreinfo" style="margin-right:10px;"> <a href="" class="moreinfo">Back to search</a> </span></div></div> <div class="bottom-left-folded"><div class="recordlastmodifiedbox" style="position:relative;margin-left:1px"> Record created 2019-05-28, last modified 2019-05-28</div></div> <div class="bottom-right-folded" style="text-align:right;padding-bottom:2px;"> <span class="moreinfo" style="margin-right:10px;"><a href="/search?ln=en&p=recid%3A2676561&rm=wrd" class="moreinfo">Similar records</a></span></div> </div> </div> </div> <br/> <br /> <div class="detailedrecordminipanel"> <div class="top-left"></div><div class="top-right"></div> <div class="inside"> <div id="detailedrecordminipanelfile" style="width:33%;float:left;text-align:center;margin-top:0"> <br/> </div> <div id="detailedrecordminipanelreview" style="width:30%;float:left;text-align:center"> </div> <div id="detailedrecordminipanelactions" style="width:36%;float:right;text-align:right;"> <ul class="detailedrecordactions"> <li><a href="/yourbaskets/add?ln=en&recid=2676561">Add to personal basket</a></li> <li>Export as <a style="text-decoration:underline;font-weight:normal" href="/record/2676561/export/hx?ln=en">BibTeX</a>, <a style="text-decoration:underline;font-weight:normal" href="/record/2676561/export/hm?ln=en">MARC</a>, <a style="text-decoration:underline;font-weight:normal" href="/record/2676561/export/xm?ln=en">MARCXML</a>, <a style="text-decoration:underline;font-weight:normal" href="/record/2676561/export/xd?ln=en">DC</a>, <a style="text-decoration:underline;font-weight:normal" href="/record/2676561/export/xe?ln=en">EndNote</a>,  <a style="text-decoration:underline;font-weight:normal" href="/record/2676561/export/xn?ln=en">NLM</a>, <a style="text-decoration:underline;font-weight:normal" href="/record/2676561/export/xw?ln=en">RefWorks</a> </li> </ul> <div style='padding-left: 13px;'>  <div id="bookmark"></div> <div id="bookmark_sciencewise"></div> <style type="text/css"> #bookmark_sciencewise, #bookmark {float: left;} #bookmark_sciencewise li {padding: 2px; width: 25px;} #bookmark_sciencewise ul, #bookmark ul {list-style-image: none;} </style> <script type="text/javascript" src="/js/jquery.bookmark.min.js"></script> <style type="text/css">@import "/css/jquery.bookmark.css";</style> <script type="text/javascript">// <![CDATA[ $.bookmark.addSite('sciencewise', 'ScienceWise.info', 'https://cds.cern.ch/img/sciencewise.png', 'en', 'bookmark', 'http://sciencewise.info/bookmarks/cds:2676561/add'); $('#bookmark_sciencewise').bookmark({sites: ['sciencewise']}); $('#bookmark').bookmark({ sites: ['facebook', 'twitter', 'linkedin', 'google_plusone'], icons: '/img/bookmarks.png', url: 'https://cds.cern.ch/record/2676561', addEmail: true, title: "Idealized Coil Cross-Sections with Minimized Conductor Area for High Field Dipoles", description: "In the design of superconducting accelerator magnets, the shape of the coil cross-section is mainly driven by the minimization of the conductor volume, constrained by requirements on the central magnetic field and its homogeneity. Such optimizations commonly assume either a Block or Cosine Theta coil type, which is then filled with (pre-determined) rectangular or key-stoned Rutherford cables. By optimizing the positions, angles and the number of turns, the field quality requirements and cost minimization are achieved. However, this leaves to wonder what the optimal coil geometry looks like, when such practical constraints are not present. Although such a coil cross-section has always been presented as the intersection between two ellipses, this method results in a non-circular aperture and is thus not fully representative of a realistic coil. This paper introduces a method in which organically shaped (non-graded) dipole coil layouts are optimized without any assumptions on the conductor. The resulting layouts are presented as a function of overall current density, aperture size and required magnetic field (inside the aperture). 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