2018
A. Cenedese, P. Bettini, M. Bonotto.
Model-based approach for magnetic reconstruction in axisymmetric nuclear fusion machines. IEEE Transactions on Plasma Science, vol. 46(3), pp. 636 - 644, 2018
Abstract:
This paper describes an approach for the magnetic
reconstruction in large scale tokamak devices that is suitable for a
real time employment in order to provide reference for an active
control action during the whole plasma evolution. This problem
can be seen as a free boundary problem, where the shape features
of the plasma are determined by the equilibrium with the external
sources, namely the active circuit currents and the eddy currents
flowing in the passive structures. In this respect, a dynamic model
is needed in order to estimate the induced currents and provide
a consistent representation of the whole system behavior during
the entire plasma discharge. Such a model is then coupled with
an iterative optimization procedure to provide a model of the
plasma that, superimposed with the external sources, minimizes
the error of the reconstructed magnetic map with reference to the
available sensor measurements. The analysis and the validation of
this approach are presented, resulting in a procedure that appears
to accurately follow the behavior of the system both during slow
varying evolution and during strongly dynamic events.
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G. Marchiori, A. Cenedese, .. Et al.
Study of a Plasma Boundary Reconstruction Method based on Reflectometric Measurements for Control Purposes. IEEE Transactions on Plasma Science, vol. 46(5), pp. 1285--1290, 2018
Abstract:
A purely geometric approach has been investigated to reconstruct the Demonstration Fusion Power Reactor (DEMO) plasma boundary for control purposes. The whole plasma boundary is reconstructed by using a deformable template method based on B-splines. The final curve shape is achieved by minimizing the distance between a limited number of estimated and measured (at present provided by an equilibrium code) plasma boundary points along the reflectometer lines of sight. The resulting unconstrained optimization problem is solved by a simulated annealing algorithm. The method is complemented by including the available plasma and poloidal field coil current measurements to refine the boundary reconstruction in the X-point region. The robustness with respect to random measurement random errors and to a reduction in the number of measurements is discussed. The main equilibrium and shape geometric quantities (such as plasma cross-sectional area, plasma center position, elongation, and triangularity) were computed and compared to the corresponding quantities of a DEMO reference equilibrium.
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2017
M. Bonotto, A. Cenedese, P. Bettini.
Krylov Subspace Methods for Model Order Reduction in Computational Electromagnetics. IFAC 2017 World Congress, pp. 6529--6534, 2017
Abstract:
This paper presents a model order reduction method via Krylov subspace projection,
for applications in the field of computational electromagnetics (CEM). The approach results
to be suitable both for SISO and MIMO systems, and is based on the numerically robust
Arnoldi procedure. We have studied the model order reduction as the number of inputs and
outputs changes, to better understand the behavior of the reduction technique. Relevant CEM
examples related to the reduction of finite element method models are presented to validate this
methodology, both in the 2D and in the 3D case.
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M. Bonotto, A. Cenedese, P. Bettini.
Model order reduction of large-scale state-space models in fusion machines via Krylov methods. IEEE Transactions on Magnetics, vol. 53(6), pp. 1--4, 2017
Abstract:
This paper presents a robust technique, based on Krylov-subspace method, for the reduction of large-scale state-space models arising in many electromagnetic applications in fusion machines. The proposed approach, built on the Arnoldi algorithm, aims at reducing the number of states of the system and lowering the computational effort, with a negligible loss of accuracy in the numerical solution. A detailed performance study is presented on an ITER-like machine, addressing both 2-D and 3-D problems.
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.. Et al, A. Cenedese.
Overview of the JET results in support to ITER. Nuclear Fusion, vol. 57(10), 2017
Abstract:
The 2014–2016 JET results are reviewed in the light of their significance for optimising the ITER research plan for the active and non-active operation. More than 60?h of plasma operation with ITER first wall materials successfully took place since its installation in 2011. New multi-machine scaling of the type I-ELM divertor energy flux density to ITER is supported by first principle modelling. ITER relevant disruption experiments and first principle modelling are reported with a set of three disruption mitigation valves mimicking the ITER setup. Insights of the L–H power threshold in Deuterium and Hydrogen are given, stressing the importance of the magnetic configurations and the recent measurements of fine-scale structures in the edge radial electric. Dimensionless scans of the core and pedestal confinement provide new information to elucidate the importance of the first wall material on the fusion performance. H-mode plasmas at ITER triangularity (H??=??1 at ? N ~ 1.8 and n/n GW ~ 0.6) have been sustained at 2 MA during 5?s. The ITER neutronics codes have been validated on high performance experiments. Prospects for the coming D–T campaign and 14 MeV neutron calibration strategy are reviewed.
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2016
A. Cenedese, M. Fagherazzi, P. Bettini.
A Novel Application of Selective Modal Analysis to Large-Scale Electromagnetic Devices. IEEE Transactions on Magnetics, vol. 52(3), pp. 1--4, 2016
Abstract:
In the analysis and design of large-scale dynamical systems, model reduction techniques aim at yielding a reasonable trade-off
between the contrasting needs of reducing the number of states and of reaching a good approximation of the overall system behavior.
In the specific case of complex electromagnetic devices, a large number of state variables represent physical quantities in the overall
system. This work collocates along this line of research and aims at studying Model Order Reduction techniques that maintain the
mathematical formalism of system theory but at the same time keep consistency with the physics of the phenomena of interest.
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M. Bonotto, P. Bettini, A. Cenedese.
Model order reduction of large-scale state-space models in fusion machines via Krylov methods. 17th IEEE Conference on Electromagnetic Field Computation (CEFC16), 2016
Abstract:
This work presents a robust technique, based on the
Krylov subspace method, for the reduction of large-scale state-
space models arising in many electromagnetic problems in fusion
machines. The proposed approach aims at reducing the number
of states of the system and lowering the computational effort,
with a negligible loss of accuracy in the numerical solution. It is
built on the Arnoldi algorithm, which allows to avoid numerical
instabilities when computing the reduced model, and exploits
both input/output Krylov methods. In the full paper a detail
performance study will be presented on an ITER-like machine.
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2015
A. Cenedese, M. Fagherazzi, P. Bettini.
Model Reduction Techniques for the Analysis and the Design of Large-Scale Electromagnetic Devices. Proceedings of the Conference on the Computation of Electromagnetic Fields (COMPUMAG 2015), pp. PC4 - 7, 2015
Abstract:
In the analysis and design of large-scale dynamical systems, simpler models are often preferred to full system models due to
their better suitability with computer simulations and real-time constraints. Model reduction techniques aim at yielding a reasonable
trade-off between the contrasting needs of reducing the number of states and of reaching a good approximation of the overall system
behavior. In the specific case of complex electromagnetic devices (as fusion machines) a large number of state variables represent
physical quantities in the overall system, such as currents, voltages, magnetic flux densities and so on. Since it would be important
not to loose this valuable feature while reducing the order of the system, we focus on the Selective Modal Analysis (SMA) technique
which allows to preserve this meaning resorting to a state selection according to the contribution of the single states to the model
modes. The application of various MOR techniques to the numerical models of the ITER machine is discussed.
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2013
G. Marchiori, A. Cenedese, P. Merlo, F. Villone, .. Et al.
Implementation and testing of a shape control system in RFX-mod Tokamak discharges. Proceedings of the 40th EPS Conference on Plasma Physics, pp. 689-692, 2013
Abstract:
In past years the Reversed Field Pinch RFX-mod has also been operated as a low current Tokamak to perform experiments of active control of MHD modes particularly harmful to a prospective reactor. The stabilization of m=2, n=1 mode has been achieved for 150 kA plasma currents in circular shape discharges at q(a)<2. In order to test the system capability of stabilizing such modes in improved confinement regimes, the possibility of producing D- shaped plasma discharges has been explored. Preliminary experiments were carried out in open loop in 2011. In the meantime a completely new plasma position and shape control system was designed and its performances simulated with the finite element 2D MHD equilibrium code MAXFEA. According to the simulation results, feedback control of the D- shape configuration was capable of meeting the design requirements. As a first step, the recent experimental campaign in Tokamak configuration was partially dedicated to demonstrate the possibility of a stable feedback controlled operation with an elongated plasma. In the paper the identification of the transfer function between a dedicated Field Shaping (FS) coil current distribution and the plasma elongation, the design of the control system, its implementation and successful testing are described.
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Aavv, A. Cenedese.
Overview of the JET results with the ITER-like wall. Nuclear Fusion, vol. 53(10), pp. 1--19, 2013
Abstract:
Following the completion in May 2011 of the shutdown for the
installation of the beryllium wall and the tungsten divertor, the first
set of JET campaigns have addressed the investigation of the retention
properties and the development of operational scenarios with the new
plasma-facing materials. The large reduction in the carbon content (more
than a factor ten) led to a much lower Zeff
(1.2–1.4) during L- and H-mode plasmas, and radiation during the
burn-through phase of the plasma initiation with the consequence that
breakdown failures are almost absent. Gas balance experiments have shown
that the fuel retention rate with the new wall is substantially reduced
with respect to the C wall. The re-establishment of the baseline H-mode
and hybrid scenarios compatible with the new wall has required an
optimization of the control of metallic impurity sources and heat loads.
Stable type-I ELMy H-mode regimes with H98,y2 close to 1 and ?N ~ 1.6
have been achieved using gas injection. ELM frequency is a key factor
for the control of the metallic impurity accumulation. Pedestal
temperatures tend to be lower with the new wall, leading to reduced
confinement, but nitrogen seeding restores high pedestal temperatures
and confinement. Compared with the carbon wall, major disruptions with
the new wall show a lower radiated power and a slower current quench.
The higher heat loads on Be wall plasma-facing components due to lower
radiation made the routine use of massive gas injection for disruption
mitigation essential.
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2012
A. Cenedese, P. Bettini.
Assessment of the diagnostics for shape control in fusion machines. Proc. of the IEEE Conference on Decision and Control (CDC 2012), 2012
Abstract:
In fusion devices, the accurate reconstruction of the boundary location and shape from magnetic diagnostics is of paramount importance for the efficient control of the plasma evolution and the safe running of the experiment. In addition to a good and consistent performance in the reconstruction, the task must be performed in real time as the input for the shape controller and more in general for the scenario optimization. To this aim, a statistical procedure for the evaluation of the reconstruction capability of different magnetic sensor sets is presented, which can drive the choice for an optimal set to be used for the reconstruction of plasma location and boundary shape during real time operation. In addition, an algorithm to approximately solve the free boundary problem and estimate the plasma shape starting from the magnetics is devised. Beyond representing a first step towards the definition of a boundary reconstruction code for plasma shape control, this tool is also used to cross validate and confirm the statistical analysis on the diagnostics.
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P. Bettini, A. Cenedese.
Iterative Axisymmetric Identification Algorithm (IAIA) for real-time reconstruction of the plasma boundary of ITER. 27th Symposium on Fusion Technology (SOFT2012), 2012
Abstract:
A new boundary reconstruction procedure is presented and validated against ITER nominal equilibria. An approxima- tion of the plasma with an equivalent filamentary current model is employed, which is computed iteratively and allows to describe a wide variety of plasma current distributions (from the peaked ones, to the pedestal current ones). One of the specific features of the procedure is how the filaments are switched on and how the total current is distributed over the entire set, being the filaments independently considered: this allows more degrees of freedom to the model to adapt to particular current distributions, yielding better performances with a negligible additional computational burden. The code also implements a special points search making it well suited for both diverted (be they top or bottom x-point) and limiter configurations. In addition also the reconstruction in presence of noise has been explored.
[ abstract ] [
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P. Bettini, A. Cenedese.
Iterative Axisymmetric Identification Algorithm (IAIA) for real-time reconstruction of the plasma boundary of ITER. Fusion Engineering and Design, vol. Published online, 2012
Abstract:
A new boundary reconstruction procedure is presented and validated
against ITER nominal equilibria. An approximation of the plasma with an
equivalent filamentary current model is employed, which is computed
iteratively and allows to describe a wide variety of plasma current
distributions (from the peaked ones, to the pedestal current ones). One
of the specific features of the procedure is how the filaments are
switched on and how the total current is distributed over the entire
set, being the filaments independently considered: this allows more
degrees of freedom to the model to adapt to particular current
distributions, yielding better performances with a negligible additional
computational burden. The code also implements a special points search
making it well suited for both diverted (be they top or bottom x-point)
and limiter configurations. In addition also the reconstruction in
presence of noise has been explored.
[ abstract ] [
url] [
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2011
Aavv, A. Cenedese.
Overview of JET results. Nuclear Fusion, vol. 51(9), 2011
Abstract:
Since the last IAEA Conference JET has been in operation for one year
with a programmatic focus on the qualification of ITER operating
scenarios, the consolidation of ITER design choices and preparation for
plasma operation with the ITER-like wall presently being installed in
JET. Good progress has been achieved, including stationary ELMy H-mode
operation at 4.5?MA. The high confinement hybrid scenario has been
extended to high triangularity, lower ?* and to pulse lengths comparable to the resistive time. The steady-state scenario has also been extended to lower ?* and ?*
and optimized to simultaneously achieve, under stationary conditions,
ITER-like values of all other relevant normalized parameters. A
dedicated helium campaign has allowed key aspects of plasma control and
H-mode operation for the ITER non-activated phase to be evaluated.
Effective sawtooth control by fast ions has been demonstrated with 3He minority ICRH, a scenario with negligible minority current drive. Edge localized mode (ELM) control studies using external n = 1 and n = 2 perturbation fields have found a resonance effect in ELM frequency for specific q95
values. Complete ELM suppression has, however, not been observed, even
with an edge Chirikov parameter larger than 1. Pellet ELM pacing has
been demonstrated and the minimum pellet size needed to trigger an ELM
has been estimated. For both natural and mitigated ELMs a broadening of
the divertor ELM-wetted area with increasing ELM size has been found. In
disruption studies with massive gas injection up to 50% of the thermal
energy could be radiated before, and 20% during, the thermal quench.
Halo currents could be reduced by 60% and, using argon/deuterium and
neon/deuterium gas mixtures, runaway electron generation could be
avoided. Most objectives of the ITER-like ICRH antenna have been
demonstrated; matching with closely packed straps, ELM resilience,
scattering matrix arc detection and operation at high power density
(6.2?MW?m?2) and antenna strap voltages (42?kV). Coupling measurements are in very good agreement with TOPICA modelling.
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2008
E.R. Solano, S. Jachmich, F. Villone, N. Hawkes, Y. Corre, B. Alper, A. Loarte, R.A. Pitts, K. Guenther, A. Koroktov, M. Stamp, P. Andrew, J. Conboy, T. Bolzonella, M. Kempenaars, A. Cenedese, E. Rachlew.
ELMs and strike point movements. Nuclear Fusion, vol. 48(6), 2008
Abstract:
A detailed study of position changes of plasma strike points before and
after edge localized modes (ELMs) in JET was carried out. A hypothesis
being tested is that in an ELM previously closed edge field lines would
open up, releasing plasma current and leading to the formation of a new,
smaller separatrix. It was observed that after each ELM strike points
have shifted a few centimetres towards the plasma centre (up in JET). In
some cases a transient (<100?µs), upwards large (>10?cm) jump of
strike positions was observed first. It was followed by an equally fast
jump down to the shifted strike positions. Such behaviour has not been
described in previous computational models of the ELM. Therefore two
novel instability mechanisms are presented, which contribute to explain
the changes in strike point position: an X-point instability, due to
positive toroidal current density at the X-point, and a diamagnetic
instability, due to negative inboard toroidal current density.
[ abstract ] [
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A. Beghi, M. Cavinato, A. Cenedese.
Nonlinear dynamic modeling for control of fusion devices. Proceedings of the47th IEEE Conference on Decision and Control, pp. 3133--3138, 2008 [
pdf] [
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2007
L. Zabeo, G. Artaserse, A. Cenedese, F. Piccolo, F. Sartori.
A new approach to the solution of the vacuum magnetic problem in fusion machines. FUSION ENGINEERING AND DESIGN, vol. 82, pp. 1081--1088, 2007 [
pdf] [
BibTeX]
2005
A. Beghi, A. Cenedese.
Advances in Real Time Plasma Boundary Reconstruction: from the Gap Description to a Deformable Model Approach. IEEE CONTROL SYSTEMS, vol. 25, pp. 44--64, 2005 [
pdf] [
BibTeX]
A. Beghi, M. Cavinato, A. Cenedese, D. Ciscato, S. Simionato, A. Soppelsa.
An integral approach to plasma shape control. FUSION ENGINEERING AND DESIGN, vol. 74, pp. 579--586, 2005 [
pdf] [
BibTeX]
F. Villone, V. Riccardo, F. Sartori, A. Cenedese, D. Howell, B. Alper, P. Beaumont.
Configuration and perturbation dependence of the Neutral Point in JET. FUSION ENGINEERING AND DESIGN, vol. 74, pp. 639--644, 2005 [
pdf] [
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R. Albanese, G. Ambrosino, M. Ariola, A. Cenedese, F. Crisanti, G. De Tommasi, M. Mattei, F. Piccolo, A. Pironti, F. Sartori, F. Villone.
Design implementation and test of the XSC extreme shape controller in JET. FUSION ENGINEERING AND DESIGN, vol. 74, pp. 627--632, 2005 [
pdf] [
BibTeX]
A. Cenedese, R. Albanese, G. Artaserse, M. Mattei, F. Sartori.
Reconstruction capability of JET magnetic sensors. FUSION ENGINEERING AND DESIGN, vol. 74, pp. 825--830, 2005 [
pdf] [
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