Letters: Magnetic island widths due to field perturbations in toroidal stellarators

D. K. Lee; J. H. Harris; G. S. Lee; G. S. Lee

doi:10.1088/0029-5515/30/10/017

Letters: Magnetic island widths due to field perturbations in toroidal stellarators

D. K. Lee, J. H. Harris, G. S. Lee, G. S. Lee

Power Exhaust and Particle Control

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Abstract

An explicit formulation is presented to determine widths of magnetic island separatrices generated by magnetic field perturbations in a general toroidal stellarator geometry. The method, which is based on a representation of three-dimensional flux surfaces by double Fourier series, allows rapid and accurate calculation of the island widths in real vacuum field configurations, without the need to follow field lines through numerical integration of the field line equations. The procedure does not involve any simplifying approximations and can be used for fields with multiple small perturbations. Numerical results of the island width obtained in the flux co-ordinate representation for the Advanced Toroidal Facility agree closely with those determined from Poincaré puncture points obtained by following field lines. The effects of resonance coupling are analysed.

Original language	English
Pages (from-to)	2177-2184
Number of pages	8
Journal	Nuclear Fusion
Volume	30
Issue number	10
DOIs	https://doi.org/10.1088/0029-5515/30/10/017
State	Published - Oct 1990

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title = "Letters: Magnetic island widths due to field perturbations in toroidal stellarators",

abstract = "An explicit formulation is presented to determine widths of magnetic island separatrices generated by magnetic field perturbations in a general toroidal stellarator geometry. The method, which is based on a representation of three-dimensional flux surfaces by double Fourier series, allows rapid and accurate calculation of the island widths in real vacuum field configurations, without the need to follow field lines through numerical integration of the field line equations. The procedure does not involve any simplifying approximations and can be used for fields with multiple small perturbations. Numerical results of the island width obtained in the flux co-ordinate representation for the Advanced Toroidal Facility agree closely with those determined from Poincar{\'e} puncture points obtained by following field lines. The effects of resonance coupling are analysed.",

author = "Lee, {D. K.} and Harris, {J. H.} and Lee, {G. S.} and Lee, {G. S.}",

year = "1990",

month = oct,

doi = "10.1088/0029-5515/30/10/017",

language = "English",

volume = "30",

pages = "2177--2184",

journal = "Nuclear Fusion",

issn = "0029-5515",

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TY - JOUR

T1 - Letters

T2 - Magnetic island widths due to field perturbations in toroidal stellarators

AU - Lee, D. K.

AU - Harris, J. H.

AU - Lee, G. S.

PY - 1990/10

Y1 - 1990/10

N2 - An explicit formulation is presented to determine widths of magnetic island separatrices generated by magnetic field perturbations in a general toroidal stellarator geometry. The method, which is based on a representation of three-dimensional flux surfaces by double Fourier series, allows rapid and accurate calculation of the island widths in real vacuum field configurations, without the need to follow field lines through numerical integration of the field line equations. The procedure does not involve any simplifying approximations and can be used for fields with multiple small perturbations. Numerical results of the island width obtained in the flux co-ordinate representation for the Advanced Toroidal Facility agree closely with those determined from Poincaré puncture points obtained by following field lines. The effects of resonance coupling are analysed.

AB - An explicit formulation is presented to determine widths of magnetic island separatrices generated by magnetic field perturbations in a general toroidal stellarator geometry. The method, which is based on a representation of three-dimensional flux surfaces by double Fourier series, allows rapid and accurate calculation of the island widths in real vacuum field configurations, without the need to follow field lines through numerical integration of the field line equations. The procedure does not involve any simplifying approximations and can be used for fields with multiple small perturbations. Numerical results of the island width obtained in the flux co-ordinate representation for the Advanced Toroidal Facility agree closely with those determined from Poincaré puncture points obtained by following field lines. The effects of resonance coupling are analysed.

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DO - 10.1088/0029-5515/30/10/017

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VL - 30

SP - 2177

EP - 2184

JO - Nuclear Fusion

JF - Nuclear Fusion

IS - 10

ER -

Letters: Magnetic island widths due to field perturbations in toroidal stellarators

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