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Table of Contents
Intro
Preface
The Place of Magnetic Levitation and Propulsion as a Major Application Area of Electromagnetic Field Theory
Applications in Fluid Mechanics
Mathematical Modelling Using the Generalized Theory of Electrical Machines
Mathematical Modelling of a Non-linear System Using Circuit Theory Approach and Linearization Technique
Applications of Signal Processing to Certain Classes of Electrical Power System Problems
Organization
Suggestions for Using This Book
Notable Features
Acknowledgements
Contents
About the Editors
1 Applications of Field Theory: Analysis of a Single Sided Linear Induction Motor with Stator and Rotor of Infinite Length and Width
1.1 Introduction
1.2 Formulation for Fields and Currents
1.2.1 Boundary Conditions and Determination of the Coefficients, C1,C2,C3 andC4
1.2.2 Calculation of Flux Density Components in the Rotor Sheet
1.2.3 Calculation of Current Density in the Rotor Sheet
1.3 Calculation of Forces
1.3.1 Calculation of Levitation Force
1.3.2 Calculation of Propulsion Force
1.4 Normalized Propulsion and Levitation Forces and Their Maximum Values
1.5 Three-Region Problem
1.5.1 Boundary Conditions
1.5.2 Determination of Coefficients C1,C2,C3,C4andC6
1.5.3 Calculation of Flux Densities and Current Density in the Rotor Sheet
1.5.4 Calculation of Forces
1.6 Conclusions
References
2 Mathematical Modelling of Electromagnetic Forces Due to Finite Width Effects of a Single-Sided Linear Induction Motor
2.1 Introduction
2.2 Problem Formulation
2.2.1 Formulation for the Field Due to Stator Current Sheet
2.3 Solution for Stream Function uy
2.4 Steps for Algorithm for Numerical Solution for uy, By2
2.5 Calculation of Forces
2.6 Results and Discussion
2.7 Conclusions
3 Mathematical Modeling of Electromagnetic Forces Due to Finite Length and Finite Width Effects of a Single-Sided Linear Induction Motor
3.1 Introduction
3.2 Problem Formulation
3.2.1 Formulation for the Field Due to Stator Current
3.2.2 Formulation for the Current in the Rotor Sheet
3.3 Steps of Algorithm for Numerical Solution for uy, By2, Bx2andBz2
3.4 Calculation of Forces
3.5 Results and Discussion
3.6 Conclusions
4 Fluid Flow Representation
4.1 Fluid Properties
4.1.1 Kinematic Properties
4.1.2 Thermodynamics Properties
4.1.3 Transport Properties
4.1.4 Miscellaneous Properties
4.2 Description of Fluid Flow
4.2.1 Lagrangian Description-Control Mass (CM)
4.2.2 Eulerian Description-Control Volume (CV)
4.2.3 Field View to Fluid Flow
4.3 Material Derivative
4.4 Governing Equations of Fluid Flow
4.4.1 Conservation of Mass-Continuity Equation
4.4.2 Conservation of Linear Momentum
4.4.3 Conservation of Angular Momentum
4.4.4 Conservation of Energy
4.5 Irrotational Flow
4.5.1 Potential Flow
4.5.2 Potential Function
Preface
The Place of Magnetic Levitation and Propulsion as a Major Application Area of Electromagnetic Field Theory
Applications in Fluid Mechanics
Mathematical Modelling Using the Generalized Theory of Electrical Machines
Mathematical Modelling of a Non-linear System Using Circuit Theory Approach and Linearization Technique
Applications of Signal Processing to Certain Classes of Electrical Power System Problems
Organization
Suggestions for Using This Book
Notable Features
Acknowledgements
Contents
About the Editors
1 Applications of Field Theory: Analysis of a Single Sided Linear Induction Motor with Stator and Rotor of Infinite Length and Width
1.1 Introduction
1.2 Formulation for Fields and Currents
1.2.1 Boundary Conditions and Determination of the Coefficients, C1,C2,C3 andC4
1.2.2 Calculation of Flux Density Components in the Rotor Sheet
1.2.3 Calculation of Current Density in the Rotor Sheet
1.3 Calculation of Forces
1.3.1 Calculation of Levitation Force
1.3.2 Calculation of Propulsion Force
1.4 Normalized Propulsion and Levitation Forces and Their Maximum Values
1.5 Three-Region Problem
1.5.1 Boundary Conditions
1.5.2 Determination of Coefficients C1,C2,C3,C4andC6
1.5.3 Calculation of Flux Densities and Current Density in the Rotor Sheet
1.5.4 Calculation of Forces
1.6 Conclusions
References
2 Mathematical Modelling of Electromagnetic Forces Due to Finite Width Effects of a Single-Sided Linear Induction Motor
2.1 Introduction
2.2 Problem Formulation
2.2.1 Formulation for the Field Due to Stator Current Sheet
2.3 Solution for Stream Function uy
2.4 Steps for Algorithm for Numerical Solution for uy, By2
2.5 Calculation of Forces
2.6 Results and Discussion
2.7 Conclusions
3 Mathematical Modeling of Electromagnetic Forces Due to Finite Length and Finite Width Effects of a Single-Sided Linear Induction Motor
3.1 Introduction
3.2 Problem Formulation
3.2.1 Formulation for the Field Due to Stator Current
3.2.2 Formulation for the Current in the Rotor Sheet
3.3 Steps of Algorithm for Numerical Solution for uy, By2, Bx2andBz2
3.4 Calculation of Forces
3.5 Results and Discussion
3.6 Conclusions
4 Fluid Flow Representation
4.1 Fluid Properties
4.1.1 Kinematic Properties
4.1.2 Thermodynamics Properties
4.1.3 Transport Properties
4.1.4 Miscellaneous Properties
4.2 Description of Fluid Flow
4.2.1 Lagrangian Description-Control Mass (CM)
4.2.2 Eulerian Description-Control Volume (CV)
4.2.3 Field View to Fluid Flow
4.3 Material Derivative
4.4 Governing Equations of Fluid Flow
4.4.1 Conservation of Mass-Continuity Equation
4.4.2 Conservation of Linear Momentum
4.4.3 Conservation of Angular Momentum
4.4.4 Conservation of Energy
4.5 Irrotational Flow
4.5.1 Potential Flow
4.5.2 Potential Function