Circuit Modeling of Inductively-Coupled Pulsed Accelerators

Description

This monograph describes lumped-element modelling techniques for inductively-coupled pulsed accelerators, starting from the basic physical description of the various processes and then bringing all the pieces together into solutions. Coilguns, inductive pulsed plasma thrusters, and compact toroids have each been individually studied using the methods used in this monograph. This monograph is of interest to researchers and graduate students in physics, engineering, and mathematics presently studying inductively-coupled pulsed accelerators. Cover Half Title Title Page Copyright Page Contents Author Biographies Acknowledgments CHAPTER 1: Introduction 1.1. TAXONOMY OF INDUCTIVE-COUPLED ACCELERATORS 1.2. DOMAIN OF THE PRESENT WORK 1.3. APPLICABILITY OF THE MODELING TECHNIQUE CHAPTER 2: Fundamental Concepts for Inductively-Coupled Pulsed Acceleration 2.1. RESISTANCE 2.2. CAPACITANCE AND STORED ELECTRICAL ENERGY 2.3. INDUCTANCE AND MAGNETIC FIELD ENERGY 2.4. VIRTUAL WORK AND ELECTROMAGNETIC FORCES 2.5. PERFORMANCE METRIC DEFINITIONS CHAPTER 3: Electrical Circuits 3.1. GENERAL ELECTRICAL CIRCUITS FOR INDUCTIVELY-COUPLED PULSED ACCELERATORS 3.2. CALCULATING SELF AND MUTUAL INDUCTANCE 3.2.1. One Coil, One Body Mutual Inductance 3.2.1.1. Additional Simplifications 3.2.1.2. Example: Comparison of Methods to Find Mutual Inductance 3.2.2. Inductance of Radially-Compressed Bodies 3.2.3. Numerical Efforts of Note CHAPTER 4: Equations of Motion 4.1. CONSERVATION EQUATIONS 4.1.1. Mass Conservation 4.1.2. Momentum Conservation 4.1.2.1. Solid Bodies 4.1.2.2. Plasmas 4.1.3. Energy Conservation 4.1.3.1. Solid Bodies 4.1.3.2. Plasmas 4.1.3.3. Additional Notes 4.2. MASS DISTRIBUTION AND ENTRAINMENT 4.2.1. Slug Mass 4.2.2. Constant Mass Distribution 4.2.3. Linear Mass Distribution 4.3. TRANSITION FROM RADIAL TO AXIAL MOTION CHAPTER 5: Internal Models 5.1. LUMPED-CIRCUIT METHOD 5.1.1. Instabilities 5.1.2. Skin Effect 5.2. STATE OF MATTER 5.2.1. Metallic Solids 5.2.2. Plasmas 5.3. EQUATIONS-OF-STATE AND CLOSURE CHAPTER 6: Illustrative Results 6.1. SETS OF MODELING EQUATIONS 6.1.1. Solid Non-Collapsing Projectile 6.1.2. Axially-Accelerating Plasma 6.1.2.1. Simplifications of Section 3.2.1.1 6.1.3. Conical Theta-Pinch Plasma 6.1.4. Plasmoid Accelerator 6.2. SELECT RESULTS AND EXAMPLES 6.2.1. Comparison of Models from Section 6.1.2 6.2.2. Coilguns 6.2.3. Axial Inductively-Coupled Planar Accelerators 6.2.3.1. Nondimensional Analysis 6.2.3.2. Comparison with Data 6.2.4. Conical Theta-Pinch Plasma Accelerators CHAPTER 7: Concluding Remarks Bibliography Index