November 3, 2023 Technical note Open Access

Stefania Farinon; Daniel Novelli

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  <identifier identifierType="DOI">10.15161/oar.it/143359</identifier>
  <creators>
    <creator>
      <creatorName>Stefania Farinon</creatorName>
      <nameIdentifier nameIdentifierScheme="ORCID" schemeURI="http://orcid.org/">0000-0002-6487-2137</nameIdentifier>
      <affiliation>INFN Genova</affiliation>
    </creator>
    <creator>
      <creatorName>Daniel Novelli</creatorName>
      <nameIdentifier nameIdentifierScheme="ORCID" schemeURI="http://orcid.org/">0000-0001-9806-6355</nameIdentifier>
      <affiliation>INFN Genova and Sapienza University of Rome</affiliation>
    </creator>
  </creators>
  <titles>
    <title>Magnetic field, Lorentz forces and stored energy of multipole cos(nθ) and sector magnets with and without iron yoke</title>
  </titles>
  <publisher>INFN Open Access Repository</publisher>
  <publicationYear>2023</publicationYear>
  <subjects>
    <subject>Magnetic field</subject>
    <subject>Lorentz forces</subject>
    <subject>Stored energy</subject>
    <subject>Magnets</subject>
    <subject>Superconduting Magnets</subject>
    <subject>Multipole cos(nθ) magnet</subject>
    <subject>Sector magnet</subject>
    <subject>Dipole</subject>
    <subject>Quadrupole</subject>
  </subjects>
  <dates>
    <date dateType="Issued">2023-11-03</date>
  </dates>
  <language>en</language>
  <resourceType resourceTypeGeneral="Text">Technical note</resourceType>
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    <alternateIdentifier alternateIdentifierType="url">https://www.openaccessrepository.it/record/143359</alternateIdentifier>
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    <relatedIdentifier relatedIdentifierType="DOI" relationType="IsVersionOf">10.15161/oar.it/143358</relatedIdentifier>
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  <rightsList>
    <rights rightsURI="https://creativecommons.org/licenses/by/4.0/">Creative Commons Attribution 4.0</rights>
    <rights rightsURI="info:eu-repo/semantics/openAccess">Open Access</rights>
  </rightsList>
  <descriptions>
    <description descriptionType="Abstract">&lt;p&gt;When approaching the design of a multipole magnet, such as a dipole, quadrupole, sextupole, and so on, it is highly advantageous to initiate the process by establishing the fundamental parameters. These parameters include conductor size, current density, inner and outer radius of the iron yoke, and more. This preliminary dimensioning enables the acquisition of the necessary specifications for the design. Within this report, analytical expressions for the magnetic field, Lorentz forces, and stored energy of multipole magnets with the cos(n&amp;theta;) and sector coil configurations, both with and without the presence of an iron yoke, are derived. These derivations are based on the vector potential of a current line.&lt;/p&gt;</description>
  </descriptions>
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