Author: David Allan HumphreysPublisher:
ISBN:
Category :
Languages : en
Pages : 510
Book Description
Axisymmetric Control in Tokamaks
Author: David Allan HumphreysPublisher:
ISBN:
Category :
Languages : en
Pages : 510
Book Description
Model Reduction for Axisymmetric Tokamak Control
Author: G. TiniosMagnetic Control of Tokamak Plasmas
Author: Marco AriolaPublisher: Springer
ISBN: 3319298909
Category : Technology & Engineering
Languages : en
Pages : 208
Book Description
This book is a complete treatment of work done to resolve the problems of position-, current-, and shape-control of plasma in tokamak-type (toroidal) devices being studied as a potential means of commercial energy production by nuclear fusion. Modelling and control are both detailed, allowing non-expert readers to understand the control problem. Starting from the magneto-hydro-dynamic equations, all the steps needed for the derivation of plasma state-space models are enumerated with frequent recall of the basic concepts of electromagnetics. The control problem is then described, beginning with the control of current and position—vertical and radial—control and progressing to the more challenging shape control. The solutions proposed vary from simple PIDs to more sophisticated MIMO controllers. The second edition of Magnetic Control of Tokamak Plasmas contains numerous updates and a substantial amount of completely new material covering areas such as: • modelling and control of resistive wall modes—the most important non-axisimmetric mode; • the isoflux approach for shape control; • a general approach for the control of limiter plasmas; • the use of inner vessel coils for vertical stabilization; and • significantly enhanced treatment of plasma-shape control at JET, including experimental results and introducing a method implemented for operation in the presence of current saturations. Whenever possible, coverage of the various topics is rounded out with experimental results obtained on currently existing tokamaks. The book also includes a presentation of the typical actuators and sensors used for control purposes in tokamaks. Some mathematical details are given in the appendices for the interested reader. The ideas formulated in this monograph will be of great practical help to control engineers, academic researchers and graduate students working directly with problems related to the control of nuclear fusion. They will also stimulate control researchers interested more generally in the advanced applications of the discipline. Advances in Industrial Control aims to report and encourage the transfer of technology in control engineering. The rapid development of control technology has an impact on all areas of the control discipline. The series offers an opportunity for researchers to present an extended exposition of new work in all aspects of industrial control.
Dynamic Modeling of Transport and Positional Control of Tokamaks
Author: Publisher:
ISBN:
Category :
Languages : en
Pages :
Book Description
We describe here a numerical model of a free boundary axisymmetric tokamak plasma and its associated control systems. The plasma is modeled with a hybrid method using two-dimensional velocity and flux functions with surface-averaged MHD equations describing the evolution of the adiabatic invariants. Equations are solved for the external circuits and for the effects of eddy currents in nearby conductors. The method is verified by application to several test problems and used to simulate the formation of a bean-shaped plasma in the PBX experiment.
Magnetic Control of Tokamak Plasmas
Author: Marco AriolaPublisher: Springer Science & Business Media
ISBN: 1848003242
Category : Technology & Engineering
Languages : en
Pages : 170
Book Description
this part is supported by two useful appendices on some of the mathematical tools used and the physical units of plasma physics. State-space models, state observers, H control, and process simulations are some of the familiar techniques used by ? the authors to meet the demanding spatial control specifications for these processes; however, the research reported in the monograph is more that just simulation studies and proposals for possible future hypothetical controllers, for the authors have worked with some of the world’s leading existing tokamak facilities. Chapter 5, 8, and 9 respectively, give practical results of implementations of their control schemes on the FTU Tokamak (Italy), the TCV Tokamak (Switzerland), and the JET Tokamak (United Kingdom). Additionally, the authors present simulation results of their ideas for the control of the new tokamak proposed for the ITER project. In conclusion, being very aware that most control engineers will not be conversant with the complexities of tokamak nuclear fusion reactor control, the authors have taken special care to give a useful introduction to the background of nuclear fusion, the science of plasma physics and appropriate models in the first part of the monograph (Chapters 1 to 3). This introduction is followed by six chapters (4 to 9) of control studies. In Chapter 4, the generic control problem is established and then five case study chapters follow.
Axisymmetric Equilibrium and Stability Analysis in Alcator C-Mod
Author: Marco FerraraPublisher: LAP Lambert Academic Publishing
ISBN: 9783659532801
Category : Science
Languages : en
Pages : 0
Book Description
The vertical position of elongated tokamak plasmas is unstable on the time scale of the eddy currents in the axisymmetric conducting structures. In the absence of feedback control, the plasma would drift vertically and quench on the wall, a situation known as Vertical Displacement Event (VDE), with serious consequences for machine integrity. As tokamaks approach reactor regimes, VDE's cannot be tolerated: vertical feedback control must be robust against system uncertainty and the occurrence of noise and disturbances. At the same time, adaptive routines should be in place to handle unexpected events. The problem of robust control of the vertical position can be formulated in terms of identifying which variables affect vertical stability and which ones are not directly controlled/controllable; identifying the physical region of these variables, and the corresponding most unstable equilibria; and designing the control system to stabilize all equilibria with sufficient margin. The margin should be enough to allow the system to tolerate realistic scenarios of noise and disturbances.
Approximate Methods for Analyzing and Controlling Axisymmetric Instabilities of Elongated Tokamak Plasmas
Author: Eric Randall FrantzAxisymmetric Instability in a Noncircular Tokamak
Author: Bruce LipschultzPublisher:
ISBN:
Category : Tokamaks
Languages : en
Pages : 242
Book Description
Numerical Simulation and Optimal Control in Plasma Physics
Author: Jacques BlumPublisher: Wiley
ISBN: 9780471921875
Category : Technology & Engineering
Languages : en
Pages : 382
Book Description
This monograph on modelling, numerical simulation, and optimal control of equilibrium of the plasma in Tokamak fusion reactors covers new generation designs which have just entered service (JET, TFTR, and JT60), are under construction (TORE Supra), or are projected (INTOR and NET). The first five chapters deal with the stationary problem of axisymmetric equilibrium of the plasma--modelling and numerical simulation, mathematical existence of a solution for a simplified model, and identification and static control of the boundary of the plasma. Two final chapters treat the evolution of equilibrium on the time-scale of thermal diffusion in the plasma, and the stability and dynamic control of displacements of the plasma.
Author: S. C. Jardin