Fusion Engineering and Design 159 (2020) 111948
Available online 8 September 2020
0920-3796/© 2020 Published by Elsevier B.V.
TFC-PREDIM: A FE dimensioning procedure for the TF coil system of a
DEMO tokamak reactor
Ilia Ivashov *, Wolfgang Biel, Philippe Mertens
Institut für Energie und Klimaforschung, Forschungszentrum Jülich GmbH, Germany
A R T I C L E INFO
Keywords:
DEMO
Tokamak
FEA
Fusion
Magnets
ABSTRACT
The equatorial plane of the inner leg of a toroidal feld (TF) coil is the most stressed part of the TF coil system and
optimal usage of the radial space in this region is crucial for the design of the DEMO tokamak reactor. A pro-
cedure for initial dimensioning (pre-dimensioning) of this region developed earlier [1] is based on a simplifed
2D geometry of the TF coil cross-section and a semi-analytical approach to estimate stresses in the TF coil case
and the conductor jackets with limited capabilities for optimization. This work presents a new procedure named
TFC-PREDIM which features a detailed 2D fnite element (FE) generalized plane strain model. The model gives
very accurate results within a short calculation time and allows additional options for layout optimization. The
FE model for the cross-section is generated automatically from the input geometrical parameters of the given
layout allowing any of the conductor design options currently investigated for DEMO. The post-processing of the
results is also automated, consisting in the determination of the maximum values of the membrane and mem-
brane + bending Tresca stresses for each conductor jacket and for the TF coil case. Two strategies for the
optimization of the cross-section are presented: minimization of the TF coil radial build with a predefned
maximal toroidal feld and maximization of the maximal toroidal feld for a predefned radial space.
1. Introduction
A TF coil represents a winding pack (WP), made of a set of wound
conductors inserted into a massive coil case (Fig. 1). Each conductor
consists of a superconducting cable enclosed in a steel jacket (conduit)
and wound by insulating tape (Fig. 1). The jacket and the TF coil case
serve as the structural support for the cable mainly against operational
electromagnetic loads (EM).
The radial extension occupied by the TF coil system at the equatorial
plane of the inner leg defnes how much space is left for the central
solenoid (CS) coil on one side and for the blanket system on the other.
Therefore, it is important to use this space effectively and the design of a
TF coils system always starts from the dimensioning of this particular
cross-section.
A zero order approximation for a DEMO radial build is provided by
the PROCESS system code [2] which defnes the available radial space
for the TF coil case and the winding pack (WP) at the inner leg,
considering a simplifed stress model and operational EM loads. Before
conducting further analyses an actual design of the WP has to be
developed which includes the specifcation of the number of conductors,
cross sectional dimensions of the cable, jacket and insulation. Sometimes
this can be performed automatically by system codes like SYCOMORE
[3] but their capabilities, especially for the mechanical optimization, are
still limited to a set of simplifed analytical equations insuffcient for the
detailed description of the geometry.
The mechanical design of the WP consists in an estimation of the
required wall thickness for the conductor jackets. To produce an initially
mechanically pre-optimizedF WP layout a special “pre-dimensioning”
procedure was developed [1]. The procedure relies on a simplifed 2D
semi-analytical approach to determine membrane stresses in the
toroidal and radial conductor jacket walls under operational EM loads. It
has a capability of optimization of a WP layout by variation of the
conductor jackets wall thickness to minimize the radial built while
satisfying a structural strength criterion on the membrane stress.
In this paper a new pre-dimensioning procedure TFC-PREDIM is
described. It relies on the same principles for stress calculation as the
previous one [1]: 2D cross section at the equatorial plane of the inner
leg, generalized plane strain assumption and analytical approximation
of the in-plane EM forces, but also has several advantages. It features a
detailed fully parametrically defned 2D FE geometry of a coil
* Corresponding author.
E-mail address: i.ivashov@fz-juelich.de (I. Ivashov).
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Fusion Engineering and Design
journal homepage: www.elsevier.com/locate/fusengdes
https://doi.org/10.1016/j.fusengdes.2020.111948
Received 11 March 2020; Received in revised form 30 June 2020; Accepted 5 August 2020