Calculation of the magnetic surfaces of the Uragan-2M torsatron with zero current in a single toroidal magnetic field coil
Possibility of existence of closed magnetic surfaces in the Uragan-2M torsatron is analysed in case of zero current in one coil of the set of the toroidal field coils. An influence of the current-feeds and detachable joints of the torsatron helical winding is taken into account. A number of charac...
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| Zitieren: | Calculation of the magnetic surfaces of the Uragan-2M torsatron with zero current in a single toroidal magnetic field coil / V.V. Nemov, V.N. Kalyuzhnyj, G.G. Lesnyakov, M.M. Kozulya // Вопросы атомной науки и техники. — 2016. — № 6. — С. 36-39. — Бібліогр.: 6 назв. — англ. |
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irk-123456789-1152352017-03-31T03:02:29Z Calculation of the magnetic surfaces of the Uragan-2M torsatron with zero current in a single toroidal magnetic field coil Nemov, V.V. Kalyuzhnyj, V.N. Lesnyakov, G.G. Kozulya, M.M. Magnetic confinement Possibility of existence of closed magnetic surfaces in the Uragan-2M torsatron is analysed in case of zero current in one coil of the set of the toroidal field coils. An influence of the current-feeds and detachable joints of the torsatron helical winding is taken into account. A number of characteristic operating modes of the torsatron work is considered. New computational results are obtained which can be of interest for studies of plasma neutron sources based on stellarator type magnetic configurations with a mirror part of the magnetic configuration at the place where the coil current is zero. Анализируется возможность существования замкнутых магнитных поверхностей в торсатроне Ураган-2М в случае равного нулю тока одной из катушек тороидального магнитного поля. Учитывается влияние токоподводов и токоразъёмов винтовой обмотки торсатрона. Рассмотрен ряд характерных режимов работы торсатрона. Получены новые результаты расчётов, которые могут представлять интерес при изучении источников нейтронов, основанных на магнитных конфигурациях стеллараторного типа с пробкотронным участком, в месте катушки с нулевым током. Аналізується можливість існування замкнутих магнітних поверхонь у торсатроні Ураган-2М у випадку рівного нулю струму однієї з котушок тороїдального магнітного поля. Враховується вплив струмопідводів та струморознімань гвинтової обмотки торсатрона. Розглянуто ряд характерних режимів роботи торсатрона. Отримано нові результати розрахунків, що можуть становити інтерес при вивченні джерел нейтронів, основаних на магнітних конфігураціях стелараторного типу із пробкотронною ділянкою, в місці котушки з нульовим струмом. 2016 Article Calculation of the magnetic surfaces of the Uragan-2M torsatron with zero current in a single toroidal magnetic field coil / V.V. Nemov, V.N. Kalyuzhnyj, G.G. Lesnyakov, M.M. Kozulya // Вопросы атомной науки и техники. — 2016. — № 6. — С. 36-39. — Бібліогр.: 6 назв. — англ. 1562-6016 PACS: 52.55.Hc http://dspace.nbuv.gov.ua/handle/123456789/115235 en Вопросы атомной науки и техники Національний науковий центр «Харківський фізико-технічний інститут» НАН України |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine |
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Magnetic confinement Magnetic confinement |
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Magnetic confinement Magnetic confinement Nemov, V.V. Kalyuzhnyj, V.N. Lesnyakov, G.G. Kozulya, M.M. Calculation of the magnetic surfaces of the Uragan-2M torsatron with zero current in a single toroidal magnetic field coil Вопросы атомной науки и техники |
| description |
Possibility of existence of closed magnetic surfaces in the Uragan-2M torsatron is analysed in case of zero current
in one coil of the set of the toroidal field coils. An influence of the current-feeds and detachable joints of the
torsatron helical winding is taken into account. A number of characteristic operating modes of the torsatron work is
considered. New computational results are obtained which can be of interest for studies of plasma neutron sources
based on stellarator type magnetic configurations with a mirror part of the magnetic configuration at the place where
the coil current is zero. |
| format |
Article |
| author |
Nemov, V.V. Kalyuzhnyj, V.N. Lesnyakov, G.G. Kozulya, M.M. |
| author_facet |
Nemov, V.V. Kalyuzhnyj, V.N. Lesnyakov, G.G. Kozulya, M.M. |
| author_sort |
Nemov, V.V. |
| title |
Calculation of the magnetic surfaces of the Uragan-2M torsatron with zero current in a single toroidal magnetic field coil |
| title_short |
Calculation of the magnetic surfaces of the Uragan-2M torsatron with zero current in a single toroidal magnetic field coil |
| title_full |
Calculation of the magnetic surfaces of the Uragan-2M torsatron with zero current in a single toroidal magnetic field coil |
| title_fullStr |
Calculation of the magnetic surfaces of the Uragan-2M torsatron with zero current in a single toroidal magnetic field coil |
| title_full_unstemmed |
Calculation of the magnetic surfaces of the Uragan-2M torsatron with zero current in a single toroidal magnetic field coil |
| title_sort |
calculation of the magnetic surfaces of the uragan-2m torsatron with zero current in a single toroidal magnetic field coil |
| publisher |
Національний науковий центр «Харківський фізико-технічний інститут» НАН України |
| publishDate |
2016 |
| topic_facet |
Magnetic confinement |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/115235 |
| citation_txt |
Calculation of the magnetic surfaces of the Uragan-2M torsatron with zero current in a single toroidal magnetic field coil / V.V. Nemov, V.N. Kalyuzhnyj, G.G. Lesnyakov, M.M. Kozulya
// Вопросы атомной науки и техники. — 2016. — № 6. — С. 36-39. — Бібліогр.: 6 назв. — англ. |
| series |
Вопросы атомной науки и техники |
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2025-07-08T08:22:52Z |
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| fulltext |
ISSN 1562-6016. ВАНТ. 2016. №6(106)
36 PROBLEMS OF ATOMIC SCIENCE AND TECHNOLOGY. 2016, № 6. Series: Plasma Physics (22), p. 36-39.
CALCULATION OF THE MAGNETIC SURFACES OF THE URAGAN-2M
TORSATRON WITH ZERO CURRENT IN A SINGLE TOROIDAL
MAGNETIC FIELD COIL
V.V. Nemov, V.N. Kalyuzhnyj, G.G. Lesnyakov, M.M. Kozulya
Institute of Plasma Physics of the NSC KIPT, Kharkov, Ukraine
E-mail: kalyuzhnyj@kipt.kharkov.ua
Possibility of existence of closed magnetic surfaces in the Uragan-2M torsatron is analysed in case of zero current
in one coil of the set of the toroidal field coils. An influence of the current-feeds and detachable joints of the
torsatron helical winding is taken into account. A number of characteristic operating modes of the torsatron work is
considered. New computational results are obtained which can be of interest for studies of plasma neutron sources
based on stellarator type magnetic configurations with a mirror part of the magnetic configuration at the place where
the coil current is zero.
PACS: 52.55.Hc
INTRODUCTION
The Uragan-2M (U-2M) device (Ref. [1]) is an l=2
torsatron with 4 helical field periods along the torus (big
torus radius is R=170 cm). The magnetic system of the
device consists of the helical winding, the vertical field
coils (basic and correcting) and the toroidal field coils
(16 by the quantity). Numerical study of magnetic
surfaces for this device has been carried out before in a
number of works (e.g., Ref. [2]). Magnetic
configurations of U-2M considered here are
characterized by the magnetic field parameters which
are shown in the following table:
Magnetic field parameters in U-2M
lines hel tor vert kφ <B/B0>
1-2 9100 6100 300 0.237 1.208 %
3 13900 5400 740 0.349 2.084 %
4 9800 7000 100 0.2258 0.93 %
5-7 13500 5500 150 0.3384 1.406 %
8-9 13500 5500 100 0.3384 1.355 %
In this table ”hel”, ”tor” and ”vert” are currents of the
helical winding (as well as of the basic vertical field
coils), the toroidal field coils and the correcting vertical
field coils, respectively, which have been extracted from
the logbook of U-2M. Strings given in the table refer to
the corresponding lines in the logbook from 20.02.2015-
27.04.2015. Using these values, parameters kφ and
<B/B0> are calculated with kφ=Bth/(Bth+Btt) where Bth
and Btt are the toroidal components of the magnetic field
produced by the helical winding and the toroidal field
coils, respectively (see Ref. [1]).
For all configurations the magnetic field is calculated
using the Biot-Savart law code [3]), where influence of
current feeds and detachable joints of the helical
winding is taken into account by the approach analogous
to that in Ref. [2]. Along with the above indicated
modes calculations also performed for the mode
considered in Ref. [4] for kφ '=0.24 and practically full
compensation of the vertical magnetic field.
Possibility of existence of closed magnetic surfaces
in U-2M with switched off one of the coils of a toroidal
magnetic field has been shown before by numerical
simulation in [5]. The experiments (see in [4])
confirmed the existence of closed magnetic surfaces in
such a system.
In the presented here calculations three cases are
considered for each mode. In the first case the currents
in the toroidal field coils are the same, in the second
case the current in the 8-th toroidal field coil is taken to
be zero and in the third case the current in the 14-th
toroidal field coil is taken to be zero.
COMPUTATION OF MAGNETIC
SURFACES
Integration of the magnetic field lines is performed
for the intervals corresponding to 250 turns around the
major axis of the torus. Cross-sections of the magnetic
surfaces obtained as the results of these computations
are presented in Figs. 1-8. These cross sections are close
to the position of switched off toroidal field coils. Each
figure corresponds to three considered cases: for the
currents in the toroidal field coils being the same (left),
for the current in the 8-th toroidal field coil being zero
(middle) and for the current in the 14-th toroidal field
coil being zero (right). In the captions under the pictures
the toroidal field coil numbers are given between which
the cross section is shown, numbers of the
corresponding lines of table are also shown. A circle
with a radius of 34 shows the inner boundary of the
vacuum chamber. One has to bear in mind that for the
case with the same current in all toroidal field coils,
outer magnetic surfaces are partly beyond the vacuum
chamber. Note that the computation results
corresponding to lines 8, 9 of the table are very close to
those corresponding to the lines 5-7.
mailto:kalyuzhnyj@kipt.kharkov.ua
ISSN 1562-6016. ВАНТ. 2016. №6(106) 37
Fig. 1. Cross-sections between 8th and 9th coils for kφ=0.237 (lines 1, 2)
Fig. 2. Cross-sections between 14th and 15th coils for kφ=0.237 (lines 1, 2)
Fig. 3. Cross-sections between 8th and 9th coils for kφ=0.226 (line 4)
Fig. 4. Cross-sections between 14th and 15th coils for kφ=0.226 (line 4)
Fig. 5. Cross-sections between 8th and 9th coils for kφ=0.338 (lines 5-7)
38 ISSN 1562-6016. ВАНТ. 2016. №6(106)
Fig. 6. Cross-sections between 14th and 15th coils for kφ=0.338 (lines 5-7)
Fig. 7. Cross-sections between 8th and 9th coils for kφ=0.240 [4]
Fig. 8. Cross-sections between 14th and 15th coils for kφ=0.240 [4]
Fig. 9. Distributions of B/B0 along the magnetic field line for the magnetic surfaces r/a≈0; n represents the number
of integration steps along the field line with 1280 steps per torus length. (left) zero current in the 8th coil, (right)
zero current in the 14th coil
For the regime of the line 3 for switched off toroidal
coils number 8 or 14 closed magnetic surfaces could not
be found although good magnetic surfaces exist for the
case when currents in all toroidal field coils are the
same.
In Fig. 9 for the second and third cases plots of
distribution of B along the magnetic field line are also
presented for the mode kφ=0.24 [4]. Analogous plots for
the rest considered modes are not presented, since these
plots are very close to those in Fig. 9
CONCLUSIONS
It follows from the results that a removal of one of
the toroidal field coils leads to a significant reduction in
ISSN 1562-6016. ВАНТ. 2016. №6(106) 39
the size of outermost magnetic surfaces, although such a
decrease in the U-2M operating modes corresponding to
line 4 in the table and Ref. [4], can be acceptable. The
results can be of interest for studies of plasma neutron
sources based on stellarator type magnetic
configurations with a mirror part formed in the vicinity
of the toroidal field coil with the switched off current
(e.g., [6]).
REFERENCES
1. O.S. Pavlichenko. First results from the
URAGAN-2M torsatron // Plasma Phys. Contr. Fusion.
1993, № 35, p. B223-B230.
2. G.G. Lesnyakov, D.P. Pogozhev, Yu.K. Kuznetsov, et
al. Studies of magnetic surfaces in the Uragan-2M
torsatron // Contributed Papers of 23rd EPS Conf. on
Contr. Fusion and Plasma Phys, Kiev. 1996, v. 20 C,
part. II (b025), p. 547-550.
3. V.V. Nemov, V.N. Kalyuzhnyj, S.V. Kasilov,
W. Kernbichler, G.G. Lesnyakov, B. Seiwald,
N.T. Besedin. Calculations of 1/ν transport for Uragan-
2M taking into account the influence of current-feeds
and detachable joints of the helical winding // Proc. 34th
EPS Conf. on Contr. Fusion and Plasma Phys. Warsaw,
Poland. 2007, 2-6 July 2007, ECA, v. 31F, p-1.077.
4. G.G. Lesnyakov, A.N. Shapoval, S.P. Gubarev, et al.
Magnetic surfaces of stellararator-mirror hybrid in the
Uragan-2M torsatron // Problems of Atomic Science and
Technology. Series “Plasma Physics. 2013, № 1 (83),
v. 19, p. 57-60.
5. V.G. Kotenko, V.E. Moiseenko, Yu.F. Sergeev, et al.
Magnetic surfaces of a combined magnetig system //
Problems of Atomic Science and Technology. Series
“Plasma Physics“. 2012, № 6 (82), v. 18, p. 22-24.
6. V.E. Moiseenko, K. Noack, O. Ågren. Stellarator-
mirror based fusion driven fission reactor // J. Fusion
Energy. 2010, v. 29, p. 65-69.
Article received 15.10.2016
РАСЧËТЫ МАГНИТНЫХ ПОВЕРХНОСТЕЙ ТОРСАТРОНА УРАГАН-2М С РАВНЫМ НУЛЮ
ТОКОМ В ОДНОЙ ИЗ КАТУШЕК ТОРОИДАЛЬНОГО МАГНИТНОГО ПОЛЯ
В.В. Немов, В.Н. Калюжный, Г.Г. Лесняков, М.М. Козуля
Анализируется возможность существования замкнутых магнитных поверхностей в торсатроне Ураган-2М
в случае равного нулю тока одной из катушек тороидального магнитного поля. Учитывается влияние
токоподводов и токоразъёмов винтовой обмотки торсатрона. Рассмотрен ряд характерных режимов работы
торсатрона. Получены новые результаты расчётов, которые могут представлять интерес при изучении
источников нейтронов, основанных на магнитных конфигурациях стеллараторного типа с пробкотронным
участком, в месте катушки с нулевым током.
РОЗРАХУНКИ МАГНІТНИХ ПОВЕРХОНЬ ТОРСАТРОНА УРАГАН-2М З РІВНИМ НУЛЮ
СТРУМОМ В ОДНІЙ З КОТУШОК ТОРОЇДАЛЬНОГО МАГНІТНОГО ПОЛЯ
В.В. Нємов, В.М. Калюжний, Г.Г. Лесняков, М.М. Козуля
Аналізується можливість існування замкнутих магнітних поверхонь у торсатроні Ураган-2М у випадку
рівного нулю струму однієї з котушок тороїдального магнітного поля. Враховується вплив струмопідводів та
струморознімань гвинтової обмотки торсатрона. Розглянуто ряд характерних режимів роботи торсатрона.
Отримано нові результати розрахунків, що можуть становити інтерес при вивченні джерел нейтронів,
основаних на магнітних конфігураціях стелараторного типу із пробкотронною ділянкою, в місці котушки з
нульовим струмом.
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