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In this paper, we investigate an optimal control problem with terminal stochastic linear complementarity constraints (SLCC), and its discrete approximation using the relaxation, the sample average approximation (SAA) and the implicit Euler…

Optimization and Control · Mathematics 2022-08-17 Jianfeng Luo , Xiaojun Chen

Inverter-based resources (IBRs) are a key component in the ongoing modernization of power systems, with grid-forming (GFM) inverters playing a central role. Effective fault current limiting is a major challenge to modernizing power systems…

Systems and Control · Electrical Eng. & Systems 2025-05-19 Zaid Ibn Mahmood , Hantao Cui , Ying Zhang

We show that ion trapping in virtual cathodes can raise the transmitted current of emitted electrons much closer to the full emission than is predicted by theories without trapped ions. The transmitted current is controlled by the well…

Plasma Physics · Physics 2025-01-03 Z. L. Idema , M. D. Campanell

Reliable position and shape control in tokamak plasmas requires accurate real-time regulation of several strongly coupled shape parameters. The control vectors that disentangle these couplings, referred to as \textit{virtual circuits}…

Iterative linear quadradic regulator(iLQR) has become a benchmark method to deal with nonlinear stochastic optimal control problem. However, it does not apply to delay system. In this paper, we extend the iLQR theory and prove new theorem…

Optimization and Control · Mathematics 2020-02-19 Cheng Ju , Yan Qin , Chunjiang Fu

The penalization method is used to take account of obstacles, such as the limiter, in a tokamak. Because of the magnetic confinement of the plasma in a tokamak, the transport occurs essentially in the direction parallel to the magnetic…

Numerical Analysis · Mathematics 2014-03-05 Philippe Angot , Thomas Auphan , Olivier Guès

Accurate modeling of runaway electron generation and losses during tokamak disruptions is crucial for the development of reactor-scale tokamak devices. In this paper we present a reduced model for runaway electron losses due to flux surface…

Plasma Physics · Physics 2024-10-07 Oskar Vallhagen , Lise Hanebring , Tünde Fülöp , Mathias Hoppe , Istvan Pusztai

This paper deals with the numerical reconstruction of the plasma current density in a Tokamak and of its equilibrium. The problem consists in the identification of a non-linear source in the 2D Grad-Shafranov equation, which governs the…

Numerical Analysis · Mathematics 2009-11-26 Jacques Blum , Cédric Boulbe , Blaise Faugeras

This paper presents a novel quadratic programming (QP) approach for constrained control allocation that directly incorporates continuous-time actuator rate constraints without requiring slack variables. Over-actuated aircraft…

Optimization and Control · Mathematics 2025-07-24 Süleyman Özkurt , Adrian Grimm , Walter Fichter

Current research suggests the use of a liner quadratic performance index for optimal control of regulators in various applications. Some examples include correcting the trajectory of rocket and air vehicles, vibration suppression of…

General Mathematics · Mathematics 2007-05-23 Alexander Bolonkin , Robert Sierakowski

Negative triangularity (NT) tokamak configurations have several key benefits including sufficient core confinement, improved power handling, and reduced edge pressure gradients that allow for edge-localized mode (ELM) free operation. We…

The penalization method is used to take account of obstacles in a tokamak, such as the limiter. We study a non linear hyperbolic system modelling the plasma transport in the area close to the wall. A penalization which cuts the transport…

Numerical Analysis · Mathematics 2011-10-05 Philippe Angot , Thomas Auphan , Olivier Guès

Understanding and predicting divertor heat-load width ${\lambda}_q$ is a critically important problem for an easier and more robust operation of ITER with high fusion gain. Previous predictive simulation data for ${\lambda}_q$ using the…

Plasma Physics · Physics 2021-02-24 C. S. Chang , S. Ku , R. Hager , R. M. Churchill , J. Hughes , F. Köchl , A. Loarte , V. Parail , R. Pitts

Turbulent transport is known to limit the plasma confinement of present-day optimized stellarators. To address this issue, a novel method to strongly suppress turbulence in such devices is proposed, namely the resonant wave-particle…

Plasma Physics · Physics 2020-09-09 Alessandro Di Siena , Alejandro Banon Navarro , Frank Jenko

Grid-forming (GFM) inverters can significantly alter the fault characteristics of power systems, which challenges the proper function of protective relays. This paper gives a holistic analysis of the interaction between GFM inverter-based…

Systems and Control · Electrical Eng. & Systems 2025-10-14 Yifei Li , Heng Wu , Xiongfei Wang

During disruptions in fusion-grade tokamaks like ITER, large electric fields are induced following the thermal quench (TQ) period which can generate a substantial amount of Runaway Electrons (REs) that can carry up to 10 MA current with…

Plasma Physics · Physics 2021-03-02 Ansh Patel , Santosh P. Pandya

We study the Traffic Light Control (TLC) problem for a single intersection, considering both straight driving vehicle flows and corresponding crossing pedestrian flows with the goal of achieving a fair jointly optimal sharing policy in…

Systems and Control · Electrical Eng. & Systems 2023-03-16 Yingqing Chen , Christos G. Cassandras

This paper deals with resistive wall tearing mode (RWTM) disruptions. RWTMs are closely related to resistive wall modes (RWMs). The nonlinear behavior of these modes is strongly dependent on the resistive wall outside the plasma. A…

Plasma Physics · Physics 2024-01-17 H. R. Strauss , B. E. Chapman , B. C. Lyons

In the wake of the intense effort made for the experimental CILEX project, numerical simulation cam- paigns have been carried out in order to finalize the design of the facility and to identify optimal laser and plasma parameters. These…

Computational Physics · Physics 2016-04-20 Arnaud Beck , Jacob Trier Frederiksen , Julien Dérouillat

Numerical simulations explore the possibility to test the tightly baffled, long-legged divertor (TBLLD) concept in a future upgrade of the Tokamak \`a configuration variable (TCV). The SOLPS-ITER code package is used to compare the exhaust…

Plasma Physics · Physics 2023-08-16 G. Sun , H. Reimerdes , C. Theiler , B. P. Duval , M. Carpita , C. Colandrea , O. Février , the TCV team
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