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Safety Factor Profile Control In A Tokamak
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Author :Federico Bribiesca Argomedo Publisher :Springer Science & Business Media ISBN 13 :3319019589 Total Pages :105 pages Book Rating :4.3/5 (19 download)
Book Synopsis Safety Factor Profile Control in a Tokamak by : Federico Bribiesca Argomedo
Download or read book Safety Factor Profile Control in a Tokamak written by Federico Bribiesca Argomedo and published by Springer Science & Business Media. This book was released on 2013-11-08 with total page 105 pages. Available in PDF, EPUB and Kindle. Book excerpt: Control of the Safety Factor Profile in a Tokamak uses Lyapunov techniques to address a challenging problem for which even the simplest physically relevant models are represented by nonlinear, time-dependent, partial differential equations (PDEs). This is because of the spatiotemporal dynamics of transport phenomena (magnetic flux, heat, densities, etc.) in the anisotropic plasma medium. Robustness considerations are ubiquitous in the analysis and control design since direct measurements on the magnetic flux are impossible (its estimation relies on virtual sensors) and large uncertainties remain in the coupling between the plasma particles and the radio-frequency waves (distributed inputs). The Brief begins with a presentation of the reference dynamical model and continues by developing a Lyapunov function for the discretized system (in a polytopic linear-parameter-varying formulation). The limitations of this finite-dimensional approach motivate new developments in the infinite-dimensional framework. The text then tackles the construction of an input-to-state-stability Lyapunov function for the infinite-dimensional system that handles the medium anisotropy and provides a common basis for analytical robustness results. This function is used as a control-Lyapunov function and allows the amplitude and nonlinear shape constraints in the control action to be dealt with. Finally, the Brief addresses important application- and implementation-specific concerns. In particular, the coupling of the PDE and the finite-dimensional subsystem representing the evolution of the boundary condition (magnetic coils) and the introduction of profile-reconstruction delays in the control loop (induced by solving a 2-D inverse problem for computing the magnetic flux) is analyzed. Simulation results are presented for various operation scenarios on Tore Supra (simulated with METIS) and on TCV (simulated with RAPTOR). Control of the Safety Factor Profile in a Tokamak will be of interest to both academic and industrially-based researchers interested in nuclear energy and plasma-containment control systems, and graduate students in nuclear and control engineering.
Book Synopsis Development of a Tokamak Plasma Optimized for Stability and Confinement by :
Download or read book Development of a Tokamak Plasma Optimized for Stability and Confinement written by and published by . This book was released on 1995 with total page 11 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Measurements of the Tokamak Safety Factor Profile by Meansofdriven Resonant Alfven Waves by : G. Borg
Download or read book Measurements of the Tokamak Safety Factor Profile by Meansofdriven Resonant Alfven Waves written by G. Borg and published by . This book was released on 1988 with total page 13 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Safety Factor Profile Optimization of High-n Ballooning-mode Stability of Tokamaks by :
Download or read book Safety Factor Profile Optimization of High-n Ballooning-mode Stability of Tokamaks written by and published by . This book was released on 1981 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: Conditions of improved stability to high-n ideal MHD modes are obtained with equilibria generated by flattening and raising the safety factor (q) profile. Flat q profiles shorten the connection length for high-n ballooning modes and diminish the destabilizing impact of the geodesic curvature. High values of q stabilize the residual interchange modes.
Book Synopsis Optimized Profiles for Improved Confinement and Stability in the DIII-D Tokamak by :
Download or read book Optimized Profiles for Improved Confinement and Stability in the DIII-D Tokamak written by and published by . This book was released on 1995 with total page 11 pages. Available in PDF, EPUB and Kindle. Book excerpt: Simultaneous achievement of high energy confinement, [tau]{sub E}, and high plasma beta, [beta], leads to an economically attractive compact tokamak fusion reactor. High confinement enhancement, H = [tau]{sub E}/[tau]{sub E-ITER89P} = 4, and high normalized beta [beta]{sub N} = [beta]/(I/aB) = 6%-m-T/MA, have been obtained in DIII-D experimental discharges. These improved confinement and/or improved stability limits are observed in several DIII-D high performance operational regimes: VH-mode, high l{sub i} H-mode, second stable core, and high beta poloidal. The authors have identified several important features of the improved performance in these discharges: details of the plasma shape, toroidal rotation or ExB flow profile, q profile and current density profile, and pressure profile. From the improved physics understanding of these enhanced performance regimes, they have developed operational scenarios which maintain the essential features of the improved confinement and which increase the stability limits using localized current profile control. The stability limit is increased by modifying the interior safety factor profile to be nonmonotonic with high central q, while maintaining the edge current density consistent with the improved transport regimes and the high edge bootstrap current. They have calculated high beta equilibria with [beta]{sub N} = 6.5, stable to ideal n = 1 kinks and stable to ideal ballooning modes. The safety factor at the 95% flux surface is 6, the central q value is 3.9 and the minimum in q is 2.6. The current density profile is maintained by the natural profile of the bootstrap current, and a modest amount of electron cyclotron current drive.
Book Synopsis Measurements of the Tokamak Safety Factor Profile by Means of Driven Resonant Alfvén Waves by :
Download or read book Measurements of the Tokamak Safety Factor Profile by Means of Driven Resonant Alfvén Waves written by and published by . This book was released on 1988 with total page 14 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Design of a Sawtooth-free Plasma in an Inductively-operated Pulsed Tokamak Reactor by :
Download or read book Design of a Sawtooth-free Plasma in an Inductively-operated Pulsed Tokamak Reactor written by and published by . This book was released on 1992 with total page 22 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Advanced Diagnostics for Magnetic and Inertial Fusion by : Peter E. Stott
Download or read book Advanced Diagnostics for Magnetic and Inertial Fusion written by Peter E. Stott and published by Springer Science & Business Media. This book was released on 2011-06-28 with total page 449 pages. Available in PDF, EPUB and Kindle. Book excerpt: Proceedings of the International Conference on Advanced Diagnostics for Magnetic and Inertial Fusion, held September 3-7, 2001 at Villa Monastero, Varenna, Italy. This volume focuses on future diagnostic requirements for fusion energy research emphasizing advanced diagnostics, new techniques and areas where further progress is required.
Book Synopsis Small Business Innovation Research by : DIANE Publishing Company
Download or read book Small Business Innovation Research written by DIANE Publishing Company and published by DIANE Publishing. This book was released on 1996 with total page 152 pages. Available in PDF, EPUB and Kindle. Book excerpt: Includes abstracts of the Phase I awards made in FY 1995 under the DOE SBIR program. Covers: novel materials for sustainable energy development, high temperature superconductivity for energy applications, technology and instrumentation for high energy accelerators, natural gas supply, advanced coal-based power systems, hybrid electric vehicle technology, and much more. The work described is novel, high-risk research, but the benefits will also be potentially high if the objectives are met. Brief comments on the potential applications are provided.
Author :United States. Congress. House. Committee on Science. Subcommittee on Energy and Environment Publisher : ISBN 13 : Total Pages :1348 pages Book Rating :4.3/5 (121 download)
Book Synopsis The Department of Energy's FY 1997 Budget Request for the Office of Energy Research (OER) by : United States. Congress. House. Committee on Science. Subcommittee on Energy and Environment
Download or read book The Department of Energy's FY 1997 Budget Request for the Office of Energy Research (OER) written by United States. Congress. House. Committee on Science. Subcommittee on Energy and Environment and published by . This book was released on 1996 with total page 1348 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Magnetic Stochasticity in Magnetically Confined Fusion Plasmas by : Sadrilla Abdullaev
Download or read book Magnetic Stochasticity in Magnetically Confined Fusion Plasmas written by Sadrilla Abdullaev and published by Springer Science & Business Media. This book was released on 2013-11-19 with total page 422 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first book to systematically consider the modern aspects of chaotic dynamics of magnetic field lines and charged particles in magnetically confined fusion plasmas. The analytical models describing the generic features of equilibrium magnetic fields and magnetic perturbations in modern fusion devices are presented. It describes mathematical and physical aspects of onset of chaos, generic properties of the structure of stochastic magnetic fields, transport of charged particles in tokamaks induced by magnetic perturbations, new aspects of particle turbulent transport, etc. The presentation is based on the classical and new unique mathematical tools of Hamiltonian dynamics, like the action--angle formalism, classical perturbation theory, canonical transformations of variables, symplectic mappings, the Poincaré-Melnikov integrals. They are extensively used for analytical studies as well as for numerical simulations of magnetic field lines, particle dynamics, their spatial structures and statistical properties. The numerous references to articles on the latest development in the area are provided. The book is intended for graduate students and researchers who interested in the modern problems of magnetic stochasticity in magnetically confined fusion plasmas. It is also useful for physicists and mathematicians interested in new methods of Hamiltonian dynamics and their applications.
Book Synopsis Radio Frequency Power Plasmas by : Stephen J. Wukitch
Download or read book Radio Frequency Power Plasmas written by Stephen J. Wukitch and published by American Institute of Physics. This book was released on 2005-10-21 with total page 480 pages. Available in PDF, EPUB and Kindle. Book excerpt: In these proceedings of the April 2005 conference participants describe their current research in the theories, computations, and applications of radio frequency power in plasmas for fusion, space propulsion and material processing. Many of the papers describe solutions in tokamak geometries where phenomena to be modeled ranged from mm to tens of centimeters and self-consistent models of energetic particles and waves, with about half the papers describing work in ion cyclotron range of frequencies (ICRF). Other topics include lower hybrid ranges of frequencies, electron Bernstein ranges of frequencies, electron cyclotron ranges of frequencies and RF plasma applications. Annotation :2005 Book News, Inc., Portland, OR (booknews.com).
Book Synopsis Input-to-State Stability by : Andrii Mironchenko
Download or read book Input-to-State Stability written by Andrii Mironchenko and published by Springer Nature. This book was released on 2023-03-30 with total page 417 pages. Available in PDF, EPUB and Kindle. Book excerpt: Input-to-State Stability presents the dominating stability paradigm in nonlinear control theory that revolutionized our view on stabilization of nonlinear systems, design of robust nonlinear observers, and stability of nonlinear interconnected control systems. The applications of input-to-state stability (ISS) are manifold and include mechatronics, aerospace engineering, and systems biology. Although the book concentrates on the ISS theory of finite-dimensional systems, it emphasizes the importance of a more general view of infinite-dimensional ISS theory. This permits the analysis of more general system classes and provides new perspectives on and a better understanding of the classical ISS theory for ordinary differential equations (ODEs). Features of the book include: • a comprehensive overview of the theoretical basis of ISS; • a description of the central applications of ISS in nonlinear control theory; • a detailed discussion of the role of small-gain methods in the stability of nonlinear networks; and • an in-depth comparison of ISS for finite- and infinite-dimensional systems. The book also provides a short overview of the ISS theory for other systems classes (partial differential equations, hybrid, impulsive, and time-delay systems) and surveys the available results for the important stability properties that are related to ISS. The reader should have a basic knowledge of analysis, Lebesgue integration theory, linear algebra, and the theory of ODEs but requires no prior knowledge of dynamical systems or stability theory. The author introduces all the necessary ideas within the book. Input-to-State Stability will interest researchers and graduate students studying nonlinear control from either a mathematical or engineering background. It is intended for active readers and contains numerous exercises of varying difficulty, which are integral to the text, complementing and widening the material developed in the monograph.
Download or read book Nuclear Fusion written by and published by . This book was released on 2008-10 with total page 332 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Active Control of Magneto-hydrodynamic Instabilities in Hot Plasmas by : Valentin Igochine
Download or read book Active Control of Magneto-hydrodynamic Instabilities in Hot Plasmas written by Valentin Igochine and published by Springer. This book was released on 2014-09-15 with total page 350 pages. Available in PDF, EPUB and Kindle. Book excerpt: During the past century, world-wide energy consumption has risen dramatically, which leads to a quest for new energy sources. Fusion of hydrogen atoms in hot plasmas is an attractive approach to solve the energy problem, with abundant fuel, inherent safety and no long-lived radioactivity. However, one of the limits on plasma performance is due to the various classes of magneto-hydrodynamic instabilities that may occur. The physics and control of these instabilities in modern magnetic confinement fusion devices is the subject of this book. Written by foremost experts, the contributions will provide valuable reference and up-to-date research reviews for "old hands" and newcomers alike.
Download or read book Fusion Energy Update written by and published by . This book was released on 1980 with total page 122 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Plasma Physics for Controlled Fusion by : Kenro Miyamoto
Download or read book Plasma Physics for Controlled Fusion written by Kenro Miyamoto and published by Springer. This book was released on 2016-05-12 with total page 495 pages. Available in PDF, EPUB and Kindle. Book excerpt: This new edition presents the essential theoretical and analytical methods needed to understand the recent fusion research of tokamak and alternate approaches. The author describes magnetohydrodynamic and kinetic theories of cold and hot plasmas in detail. The book covers new important topics for fusion studies such as plasma transport by drift turbulence, which depend on the magnetic configuration and zonal flows. These are universal phenomena of microturbulence. They can modify the onset criterion for turbulent transport, instabilities driven by energetic particles as well as alpha particle generation and typical plasma models for computer simulation. The fusion research of tokamaks with various new versions of H modes are explained. The design concept of ITER, the international tokamak experimental reactor, is described for inductively driven operations as well as steady-state operations using non-inductive drives. Alternative approaches of reversed-field pinch and its relaxation process, stellator including quasi-symmetric system, open-end system of tandem mirror and inertial confinement are also explained. Newly added and updated topics in this second edition include zonal flows, various versions of H modes, and steady-state operations of tokamak, the design concept of ITER, the relaxation process of RFP, quasi-symmetric stellator, and tandem mirror. The book addresses graduate students and researchers in the field of controlled fusion.
