A Tokamak Equilibrium with Arbitrary Aspect Ratio PDF Download
Are you looking for read ebook online? Search for your book and save it on your Kindle device, PC, phones or tablets. Download A Tokamak Equilibrium with Arbitrary Aspect Ratio PDF full book. Access full book title A Tokamak Equilibrium with Arbitrary Aspect Ratio by . Download full books in PDF and EPUB format.
Author: Publisher: ISBN: Category : Languages : en Pages : 13
Book Description
A general analytical solution of the Grad-Shafranov equation is presented. It allows the simulation of plasmas with elongation and triangularity, with an independent choice of pressure and plasma current. A numerical computed fit to families of such solutions allows the direct computation of the poloidal flux function [Psi](R, Z) from a parametric description of the plasma given by aspect ratio A, elongation [kappa], triangularity [delta], size (i.e. major radius), plasma beta poloidal [beta]{sub pol}, and plasma current I{sub p}.
Author: Publisher: ISBN: Category : Languages : en Pages : 13
Book Description
A general analytical solution of the Grad-Shafranov equation is presented. It allows the simulation of plasmas with elongation and triangularity, with an independent choice of pressure and plasma current. A numerical computed fit to families of such solutions allows the direct computation of the poloidal flux function [Psi](R, Z) from a parametric description of the plasma given by aspect ratio A, elongation [kappa], triangularity [delta], size (i.e. major radius), plasma beta poloidal [beta]{sub pol}, and plasma current I{sub p}.
Author: Publisher: ISBN: Category : Languages : en Pages : 46
Book Description
An analytic solution of the high? (?{bar?}{sub p} -?q2/? {much gt} 1) equilibrium of a large aspect ratio tokamak is presented. Two arbitrary flux functions, the pressure profile p and the safety factor profile q , specify the equilibrium. The solution splits into two asymptotic regions: the core region where? is a function of the major radius alone and a narrow boundary layer region adjoining the conducting wall. The solutions in the two regions are asymptotically matched to each other. For monotonic pressure profiles, the Shafranov shift is equal to the minor radius. For? much bigger than one, the solution contains a region (in place of the magnetic axis) of zero magnetic field and constant pressure. At high? the quantity?{sub I}, which is essentially proportional to the pressure over the total current squared, is largely independent of pressure. We discuss the important ramifications of limited?{sub I} for high? reactors. Generalizations to shaped cross sections and hollow pressure profiles are outlined. We also consider the problem of equilibrium reconstruction in the high {beta} regime. 8 refs., 7 figs.
Author: Publisher: ISBN: Category : Languages : en Pages : 27
Book Description
High [beta]([beta]{much gt} [epsilon]/q2) large aspect ratio ([epsilon] {much gt} 1) tokamak equilibria are shown to be always stable to ideal M.H.D. modes that are localized about a flux surface. Both the ballooning and interchange modes are shown to be stable. This work uses the analytic high [beta] large aspect ratio tokamak equilibria developed by Cowley et.al., which are valid for arbitrary pressure and safety factor profiles. The stability results make no assumption about these profiles or the shape of the boundary. 14 refs., 4 figs.
Author: Publisher: ISBN: Category : Languages : en Pages :
Book Description
An analytic solution is obtained for free-boundary, high-beta equilibria in large aspect ratio tokamaks with a nearly circular plasma boundary. In the absence of surface currents at the plasma-vacuum interface, the free-boundary equilibrium solution introduces constraints arising from the need to couple to an external vacuum field which is physically realizable with a reasonable set of external field coils. This places a strong constraint on the pressure profiles that are consistent with a given boundary shape at high[epsilon][beta][sub p]. The equilibrium solution also provides information on the flux surface topology. The plasma is bounded by a separatrix. Increasing the plasma pressure at fixed total current causes the plasma aperture to decrease in a manner that is described.
Author: Roscoe B White Publisher: World Scientific Publishing Company ISBN: 1911298984 Category : Science Languages : en Pages : 389
Book Description
This invaluable book is designed to provide a basic introduction to plasma equilibrium, particle orbits, transport, and those ideal and resistive magnetohydrodynamic instabilities which dominate the behavior of toroidal magnetically confined plasmas, and to develop the mathematical methods necessary for their theoretical analysis. The book deals primarily with the consequences of ideal and resistive magnetohydrodynamics, these theories being responsible for most of what is well understood regarding the physics of fusion oriented discharges. Contents:Toroidal Configuration: EquilibriumGuiding Center MotionLinear Ideal ModesLinear Resistive ModesNonlinear BehaviorMode-Particle InteractionTransportPhase Integral Methods Readership: Graduate students, researchers and academics in the field of fusion.
Author: Hartmut Zohm Publisher: John Wiley & Sons ISBN: 3527412328 Category : Science Languages : en Pages : 254
Book Description
This book bridges the gap between general plasma physics lectures and the real world problems in MHD stability. In order to support the understanding of concepts and their implication, it refers to real world problems such as toroidal mode coupling or nonlinear evolution in a conceptual and phenomenological approach. Detailed mathematical treatment will involve classical linear stability analysis and an outline of more recent concepts such as the ballooning formalism. The book is based on lectures that the author has given to Master and PhD students in Fusion Plasma Physics. Due its strong link to experimental results in MHD instabilities, the book is also of use to senior researchers in the field, i.e. experimental physicists and engineers in fusion reactor science. The volume is organized in three parts. It starts with an introduction to the MHD equations, a section on toroidal equilibrium (tokamak and stellarator), and on linear stability analysis. Starting from there, the ideal MHD stability of the tokamak configuration will be treated in the second part which is subdivided into current driven and pressure driven MHD. This includes many examples with reference to experimental results for important MHD instabilities such as kinks and their transformation to RWMs, infernal modes, peeling modes, ballooning modes and their relation to ELMs. Finally the coverage is completed by a chapter on resistive stability explaining reconnection and island formation. Again, examples from recent tokamak MHD such as sawteeth, CTMs, NTMs and their relation to disruptions are extensively discussed.
Author: 
Author: 
Author: 
Author: 
Author: Hong Qin
Author: K. Yamazaki
Author: 
Author: 
Author: Roscoe B White
Author: Hartmut Zohm
Author: