Field Computation for Accelerator Magnets: Analytical and Numerical Methods for Electromagnetic Design and Optimization

✍ Scribed by Dr.?Ing. Stephan Russenschuck(auth.)

• Year: 2010
• Tongue: English
• Leaves: 764
• Category: Library

✦ Synopsis

Written by a leading expert on the electromagnetic design and engineering of superconducting accelerator magnets, this book offers the most comprehensive treatment of the subject to date. In concise and easy-to-read style, the author lays out both the mathematical basis for analytical and numerical field computation and their application to magnet design and manufacture. Of special interest is the presentation of a software-based design process that has been applied to the entire production cycle of accelerator magnets from the concept phase to field optimization, production follow-up, and hardware commissioning.

Included topics:

Technological challenges for the Large Hadron Collider at CERN
Algebraic structures and vector fields
Classical vector analysis
Foundations of analytical field computation
Fields and Potentials of line currents
Harmonic fields
The conceptual design of iron- and coil-dominated magnets
Solenoids
Complex analysis methods for magnet design
Elementary beam optics and magnet polarities
Numerical field calculation using finite- and boundary-elements
Mesh generation
Time transient effects in superconducting magnets, including superconductor magnetization and cable eddy-currents
Quench simulation and magnet protection
Mathematical optimization techniques using genetic and deterministic algorithms


Practical experience from the electromagnetic design of the LHC magnets illustrates the analytical and numerical concepts, emphasizing the relevance of the presented methods to a great many applications in electrical engineering. The result is an indispensable guide for high-energy physicists, electrical engineers, materials scientists, applied mathematicians, and systems engineers.

✦ Table of Contents

Content:
Chapter 1 Magnets for Accelerators (pages 1–48):
Chapter 2 Algebraic Structures and Vector Fields (pages 49–84):
Chapter 3 Classical Vector Analysis (pages 85–136):
Chapter 4 Maxwell's Equations and Boundary Value Problems in Magnetostatics (pages 137–185):
Chapter 5 Fields and Potentials of Line?Currents (pages 187–235):
Chapter 6 Field Harmonics (pages 237–268):
Chapter 7 Iron?Dominated Magnets (pages 269–291):
Chapter 8 Coil?Dominated Magnets (pages 293–326):
Chapter 9 Complex Analysis Methods for Magnet Design (pages 327–362):
Chapter 10 Field Diffusion (pages 363–382):
Chapter 11 Elementary Beam Optics and Field Requirements (pages 383–413):
Chapter 12 Reference Frames and Magnet Polarities (pages 415–432):
Chapter 13 Finite?Element Formulations (pages 433–453):
Chapter 14 Discretization (pages 455–479):
Chapter 15 Coupling of Boundary and Finite Elements (pages 481–502):
Chapter 16 Superconductor Magnetization (pages 503–542):
Chapter 17 Interstrand Coupling Currents (pages 543–573):
Chapter 18 Quench Simulation (pages 575–608):
Chapter 19 Differential Geometry Applied to Coil?End Design (pages 609–636):
Chapter 20 Mathematical Optimization Techniques (pages 637–702):