Magnetohydrodynamic stability of tokamaks / Hartmut Zohm.

Format:

Book

Author/Creator:

Zohm, Hartmut, author.

Language:

English

Subjects (All):

Magnetohydrodynamic generators.

Physical Description:

1 online resource (256 p.)

Edition:

1st ed.

Place of Publication:

Weinheim, Germany : Wiley-VCH Verlag GmbH & Company KGaA, [2015]

Language Note:

English

Summary:

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 lin

Contents:

Magnetohydrodynamic Stability of Tokamaks; Contents; Preface; Chapter 1 The MHD Equations; 1.1 Derivation of the MHD Equations; 1.1.1 Multispecies MHD Equations; 1.1.2 One-Fluid Model of Magnetohydrodynamics; 1.1.3 Validity of the One-Fluid Model of Magnetohydrodynamics; 1.2 Consequences of the MHD Equations; 1.2.1 Magnetic Flux Conservation; 1.2.2 MHD Equilibrium; 1.2.3 Magnetohydrodynamic Waves; 1.2.3.1 Compressional Alfvén Waves; 1.2.3.2 Shear Alfvén Waves; Chapter 2 MHD Equilibria in Fusion Plasmas; 2.1 Linear Configurations; 2.1.1 The z-Pinch; 2.1.2 The Screw Pinch

2.2 Toroidal Configurations2.2.1 The Tokamak; 2.2.1.1 The Grad-Shafranov Equation; 2.2.1.2 Circular Cross Section; 2.2.1.3 Arbitrary Cross Section; 2.2.1.4 The Straight Field Line Angle; 2.2.2 The Stellarator; Chapter 3 Linear Ideal MHD Stability Analysis; 3.1 Linear MHD Stability as an Initial Value Problem; 3.2 The Energy Principle of Ideal MHD; 3.3 Forms of δW; 3.4 The Ideal MHD Energy Principle for the Tokamak; Chapter 4 Current Driven Ideal MHD Modes in a Tokamak; 4.1 Expression for δW in Tokamak Ordering; 4.2 External Kinks in a Tokamak with β = 0; 4.2.1 Modes with m=1

6.4.1 Small ELM Regimes6.4.2 Active ELM Control; Chapter 7 Combined Pressure and Current Driven Modes: The Ideal β-Limit; 7.1 Tokamak Operational Scenarios; 7.2 External Kink Modes in a Tokamak with Finite β; 7.3 The Effect of a Conducting Wall on External Kink Modes; 7.3.1 Ideally Conducting Wall; 7.3.2 Resistive Wall; 7.4 The Resistive Wall Mode (RWM); 7.5 The Troyon Limit; Chapter 8 Resistive MHD Stability; 8.1 Stability of Current Sheets; 8.2 Reconnection in the Presence of a Guide Field; 8.3 Magnetic Islands in Tokamaks; 8.4 The Rutherford Equation

Chapter 9 Current Driven (`classical') Tearing Modes in Tokamaks9.1 Effect of Tearing Modes on Kinetic Profiles; 9.2 Nonlinear Saturation; 9.3 Tearing Mode Rotation and Locking; 9.3.1 Rotation of Tearing Modes in Tokamaks; 9.3.2 Locking of Pre-existing Magnetic Islands; 9.3.3 Ab-initio Locked Modes; Chapter 10 Disruptions; 10.1 Phenomenology of Disruptions; 10.1.1 The Density Limit; 10.2 Consequences of Disruptions; 10.2.1 Thermal Loads; 10.2.2 Mechanical Loads; 10.2.3 Runaway Generation; 10.3 Disruption Avoidance and Mitigation; Chapter 11 M=1 Modes beyond Ideal MHD: Sawteeth and Fishbones

11.1 The Sawtooth Instability

Notes:

Description based upon print version of record.

Includes bibliographical references and index.

Description based on online resource; title from PDF title page (ebrary, viewed December 10, 2014).

ISBN:

9783527677344

3527677348

9783527677375

3527677372

9783527677368

3527677364

OCLC:

899008684