On virial analysis at low aspect ratio
The validity of virial analysis to infer global MHD equilibrium poloidal beta β p and internal inductance ℓ i from external magnetics measurements is examined for low aspect ratio configurations with A < 2 . Numerical equilibrium studies at varied aspect ratio are utilized to validate the techniq...
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| Veröffentlicht in: | Physics of plasmas 2016-07, Vol.23 (7) |
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| container_title | Physics of plasmas |
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| creator | Bongard, M. W. Barr, J. L. Fonck, R. J. Reusch, J. A. Thome, K. E. |
| description | The validity of virial analysis to infer global MHD equilibrium poloidal beta
β
p
and internal inductance
ℓ
i
from external magnetics measurements is examined for low aspect ratio configurations with
A
<
2
. Numerical equilibrium studies at varied aspect ratio are utilized to validate the technique at finite aspect ratio. The effect of applying high-
A
approximations to low-
A
experimental data is quantified and demonstrates significant over-estimation of stored energy (factors of 2–10) in spherical tokamak geometry. Experimental approximations to equilibrium-dependent volume integral terms in the analysis are evaluated at low-
A
. Highly paramagnetic configurations are found to be inadequately represented through the virial mean radius parameter
R
T
. Alternate formulations for inferring
β
p
and
ℓ
i
that are independent of
R
T
to avoid this difficulty are presented for the static isotropic limit. These formulations are suitable for fast estimation of tokamak stored energy components at low aspect ratio using virial analysis. |
| doi_str_mv | 10.1063/1.4959808 |
| format | Article |
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β
p
and internal inductance
ℓ
i
from external magnetics measurements is examined for low aspect ratio configurations with
A
<
2
. Numerical equilibrium studies at varied aspect ratio are utilized to validate the technique at finite aspect ratio. The effect of applying high-
A
approximations to low-
A
experimental data is quantified and demonstrates significant over-estimation of stored energy (factors of 2–10) in spherical tokamak geometry. Experimental approximations to equilibrium-dependent volume integral terms in the analysis are evaluated at low-
A
. Highly paramagnetic configurations are found to be inadequately represented through the virial mean radius parameter
R
T
. Alternate formulations for inferring
β
p
and
ℓ
i
that are independent of
R
T
to avoid this difficulty are presented for the static isotropic limit. These formulations are suitable for fast estimation of tokamak stored energy components at low aspect ratio using virial analysis.</description><identifier>ISSN: 1070-664X</identifier><identifier>EISSN: 1089-7674</identifier><identifier>DOI: 10.1063/1.4959808</identifier><identifier>CODEN: PHPAEN</identifier><language>eng</language><publisher>Melville: American Institute of Physics</publisher><subject>70 PLASMA PHYSICS AND FUSION TECHNOLOGY ; Configurations ; energy content ; Equilibrium ; Formulations ; Inductance ; integral equations ; Internal energy ; Low aspect ratio ; Magnetohydrodynamics ; paramagnetism ; Plasma physics ; Tokamak devices ; tokamaks</subject><ispartof>Physics of plasmas, 2016-07, Vol.23 (7)</ispartof><rights>Author(s)</rights><rights>2016 Author(s). Published by AIP Publishing.</rights><lds50>peer_reviewed</lds50><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c389t-7f66f055aa949eb8f73e0b9e3d3ee1747bf3281d68b6c19a41f9aede75b069b43</citedby><cites>FETCH-LOGICAL-c389t-7f66f055aa949eb8f73e0b9e3d3ee1747bf3281d68b6c19a41f9aede75b069b43</cites><orcidid>0000-0002-8424-9422 ; 0000-0002-3160-9746 ; 0000-0002-4801-3922 ; 0000000284249422 ; 0000000231609746 ; 0000000177685931 ; 0000000294386762 ; 0000000248013922</orcidid></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktohtml>$$Uhttps://pubs.aip.org/pop/article-lookup/doi/10.1063/1.4959808$$EHTML$$P50$$Gscitation$$H</linktohtml><link.rule.ids>230,314,780,784,794,885,4512,27924,27925,76384</link.rule.ids><backlink>$$Uhttps://www.osti.gov/servlets/purl/1275599$$D View this record in Osti.gov$$Hfree_for_read</backlink></links><search><creatorcontrib>Bongard, M. W.</creatorcontrib><creatorcontrib>Barr, J. L.</creatorcontrib><creatorcontrib>Fonck, R. J.</creatorcontrib><creatorcontrib>Reusch, J. A.</creatorcontrib><creatorcontrib>Thome, K. E.</creatorcontrib><creatorcontrib>Univ. of Wisconsin, Madison, WI (United States)</creatorcontrib><title>On virial analysis at low aspect ratio</title><title>Physics of plasmas</title><description>The validity of virial analysis to infer global MHD equilibrium poloidal beta
β
p
and internal inductance
ℓ
i
from external magnetics measurements is examined for low aspect ratio configurations with
A
<
2
. Numerical equilibrium studies at varied aspect ratio are utilized to validate the technique at finite aspect ratio. The effect of applying high-
A
approximations to low-
A
experimental data is quantified and demonstrates significant over-estimation of stored energy (factors of 2–10) in spherical tokamak geometry. Experimental approximations to equilibrium-dependent volume integral terms in the analysis are evaluated at low-
A
. Highly paramagnetic configurations are found to be inadequately represented through the virial mean radius parameter
R
T
. Alternate formulations for inferring
β
p
and
ℓ
i
that are independent of
R
T
to avoid this difficulty are presented for the static isotropic limit. These formulations are suitable for fast estimation of tokamak stored energy components at low aspect ratio using virial analysis.</description><subject>70 PLASMA PHYSICS AND FUSION TECHNOLOGY</subject><subject>Configurations</subject><subject>energy content</subject><subject>Equilibrium</subject><subject>Formulations</subject><subject>Inductance</subject><subject>integral equations</subject><subject>Internal energy</subject><subject>Low aspect ratio</subject><subject>Magnetohydrodynamics</subject><subject>paramagnetism</subject><subject>Plasma physics</subject><subject>Tokamak devices</subject><subject>tokamaks</subject><issn>1070-664X</issn><issn>1089-7674</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2016</creationdate><recordtype>article</recordtype><recordid>eNp90MtKxDAUBuAgCo7VhW9QFASFjklzX8rgDQZmo-AupGmCGWpTk87IvL0tHXQhuDpn8XEuPwDnCM4RZPgWzYmkUkBxAGYICllwxsnh2HNYMEbejsFJSmsIIWFUzMDVqs23Pnrd5LrVzS75lOs-b8JXrlNnTZ9H3ftwCo6cbpI929cMvD7cvyyeiuXq8XlxtywMFrIvuGPMQUq1lkTaSjiOLaykxTW2FnHCK4dLgWomKmaQ1AQ5qW1tOa0gkxXBGbiY5obUe5WM7615N6Fth0sUKjmlUg7ockJdDJ8bm3q1Dps4XJ9UiUrEIWdDFBm4npSJIaVoneqi_9BxpxBUY1YKqX1Wg72Z7Lhx_Lf9wdsQf6Hqavcf_jv5GwxjdY4</recordid><startdate>20160701</startdate><enddate>20160701</enddate><creator>Bongard, M. W.</creator><creator>Barr, J. L.</creator><creator>Fonck, R. J.</creator><creator>Reusch, J. A.</creator><creator>Thome, K. E.</creator><general>American Institute of Physics</general><general>American Institute of Physics (AIP)</general><scope>AAYXX</scope><scope>CITATION</scope><scope>8FD</scope><scope>H8D</scope><scope>L7M</scope><scope>OIOZB</scope><scope>OTOTI</scope><orcidid>https://orcid.org/0000-0002-8424-9422</orcidid><orcidid>https://orcid.org/0000-0002-3160-9746</orcidid><orcidid>https://orcid.org/0000-0002-4801-3922</orcidid><orcidid>https://orcid.org/0000000284249422</orcidid><orcidid>https://orcid.org/0000000231609746</orcidid><orcidid>https://orcid.org/0000000177685931</orcidid><orcidid>https://orcid.org/0000000294386762</orcidid><orcidid>https://orcid.org/0000000248013922</orcidid></search><sort><creationdate>20160701</creationdate><title>On virial analysis at low aspect ratio</title><author>Bongard, M. W. ; Barr, J. L. ; Fonck, R. J. ; Reusch, J. A. ; Thome, K. E.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c389t-7f66f055aa949eb8f73e0b9e3d3ee1747bf3281d68b6c19a41f9aede75b069b43</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2016</creationdate><topic>70 PLASMA PHYSICS AND FUSION TECHNOLOGY</topic><topic>Configurations</topic><topic>energy content</topic><topic>Equilibrium</topic><topic>Formulations</topic><topic>Inductance</topic><topic>integral equations</topic><topic>Internal energy</topic><topic>Low aspect ratio</topic><topic>Magnetohydrodynamics</topic><topic>paramagnetism</topic><topic>Plasma physics</topic><topic>Tokamak devices</topic><topic>tokamaks</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Bongard, M. W.</creatorcontrib><creatorcontrib>Barr, J. L.</creatorcontrib><creatorcontrib>Fonck, R. J.</creatorcontrib><creatorcontrib>Reusch, J. A.</creatorcontrib><creatorcontrib>Thome, K. E.</creatorcontrib><creatorcontrib>Univ. of Wisconsin, Madison, WI (United States)</creatorcontrib><collection>CrossRef</collection><collection>Technology Research Database</collection><collection>Aerospace Database</collection><collection>Advanced Technologies Database with Aerospace</collection><collection>OSTI.GOV - Hybrid</collection><collection>OSTI.GOV</collection><jtitle>Physics of plasmas</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Bongard, M. W.</au><au>Barr, J. L.</au><au>Fonck, R. J.</au><au>Reusch, J. A.</au><au>Thome, K. E.</au><aucorp>Univ. of Wisconsin, Madison, WI (United States)</aucorp><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>On virial analysis at low aspect ratio</atitle><jtitle>Physics of plasmas</jtitle><date>2016-07-01</date><risdate>2016</risdate><volume>23</volume><issue>7</issue><issn>1070-664X</issn><eissn>1089-7674</eissn><coden>PHPAEN</coden><abstract>The validity of virial analysis to infer global MHD equilibrium poloidal beta
β
p
and internal inductance
ℓ
i
from external magnetics measurements is examined for low aspect ratio configurations with
A
<
2
. Numerical equilibrium studies at varied aspect ratio are utilized to validate the technique at finite aspect ratio. The effect of applying high-
A
approximations to low-
A
experimental data is quantified and demonstrates significant over-estimation of stored energy (factors of 2–10) in spherical tokamak geometry. Experimental approximations to equilibrium-dependent volume integral terms in the analysis are evaluated at low-
A
. Highly paramagnetic configurations are found to be inadequately represented through the virial mean radius parameter
R
T
. Alternate formulations for inferring
β
p
and
ℓ
i
that are independent of
R
T
to avoid this difficulty are presented for the static isotropic limit. These formulations are suitable for fast estimation of tokamak stored energy components at low aspect ratio using virial analysis.</abstract><cop>Melville</cop><pub>American Institute of Physics</pub><doi>10.1063/1.4959808</doi><tpages>8</tpages><orcidid>https://orcid.org/0000-0002-8424-9422</orcidid><orcidid>https://orcid.org/0000-0002-3160-9746</orcidid><orcidid>https://orcid.org/0000-0002-4801-3922</orcidid><orcidid>https://orcid.org/0000000284249422</orcidid><orcidid>https://orcid.org/0000000231609746</orcidid><orcidid>https://orcid.org/0000000177685931</orcidid><orcidid>https://orcid.org/0000000294386762</orcidid><orcidid>https://orcid.org/0000000248013922</orcidid><oa>free_for_read</oa></addata></record> |
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| language | eng |
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| source | AIP Journals Complete; Alma/SFX Local Collection |
| subjects | 70 PLASMA PHYSICS AND FUSION TECHNOLOGY Configurations energy content Equilibrium Formulations Inductance integral equations Internal energy Low aspect ratio Magnetohydrodynamics paramagnetism Plasma physics Tokamak devices tokamaks |
| title | On virial analysis at low aspect ratio |
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