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In the study of Magnetic Positioning Equations, it is possible to calculate and create analytical expressions for the intensity of magnetic fields when the coordinates x, y and z are known; identifying the inverse expressions is more difficult. This book is designed to explore the discovery of how to get the coordinates of analytical expressions x, y and z when the intensity of the magnetic fields are known. The discovery also deals with the problem of how to analyze, define and design any type of transmitter along with its positioning equation(s).
- Presents new simple mathematical solution expressions.
- Describes how to solve analytically the 6D systems filing
- Defines practical multiple turns coil transmitters and their positioning equations
- Uses optimization methods with positioning equations to improve the sensitivity problem
- Presents more theoretical approach to define magnetic positioning equations
Researchers in physics and engineering, mathematicians, engineers, companies developing trackers
About the Book
About the Author
Chapter 1. Introduction
Chapter 2. Magnetic Fields
2.1 Single-Wire Magnetic Field
2.2 Magnetic Geometric Factor (G)
2.3 Magnetic Field of Triangular Wires
Chapter 3. First Magnetic Positioning Equation
3.1 Resolving Factor G
3.2 Triangular Couple
3.3 Multiple-Turn Coils
Chapter 4. Magnetic Positioning System
4.1 Detector Rotation Matrix
4.2 Solution of the Rotation Matrix
4.3 Detector Coordinates
Chapter 5. Equations of Quadrilateral Coils
5.1 Triple Quadrilaterals
5.2 Angle Rotation Coils
5.3 Coil Design
5.4 ARC Coils – Triple Quadrilaterals
5.5 XYZ Coils – Quadrilateral Symmetric Triple
Chapter 6. Quad Quadrilateral Coil Equations
6.1 Real ARC Quad Coil Design
6.2 Real XYZ Coil Design
6.3 Manipulation Properties
Chapter 7. Distortions and Disturbances
Optimal Estimation Methods
7.1 Scan System for ARC Coils
7.2 Scan System for XYZ Coils
7.3 G Distances
7.4 Vertex Problem
Chapter 8. Detectors
8.1 Energy Detectors
8.2 Detector Coils
Chapter 9. Coefficients Method
9.1 Ten Steps to Positioning Equations
9.3 Two-Axis Detector Positioning Equations
Chapter 10. Positioning Equations – 3D Coils
10.1 3D Triangles
10.2 3D Quadrilateral Coils
10.3 3D Coefficient Method
10.4 One-Axis Detector Positioning Equations
APPENDIX A: Quadratic to Quartic Equations
APPENDIX B: Matrix Structure
- No. of pages:
- © Academic Press 2012
- 29th June 2012
- Academic Press
- Paperback ISBN:
- eBook ISBN:
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