1 Introduction to Finite Elements. - 1. 1 Introduction. - 1. 2 The Galerkin Finite Element Method. - 1. 3 Boundary Conditions. - 1. 4 Magnetostatic Example. - 2 Nonlinear Problems. - 2. 1 Introduction. - 2. 2 Representation of the B-H Curve. - 2. 3 The Basic Newton-Raphson Method for a Single Equation. - 2. 4 Application of the Newton-Raphson Method to a First Order Element. - 2. 5 Cubic Splines. - 3 Permanent Magnets. - 3. 1 Introduction. - 3. 2 Magnetization Models of Permanent Magnets. - 3. 3 Current Sheet Equivalents. - 3. 4 Example With Permanent Magnet. - 3. 5 Intrinsic and Normal Hysteresis Characteristics. - 4 Eddy Current Analysis. - 4. 1 Introduction. - 4. 2 Eddy Currents and Skin Effect. - 4. 3 Finite Element Example. - 4. 4 Elliptical Description of Flux Density. - 4. 5 Eddy Currents In Nonlinear Materials. - 4. 6 Nonlinear Permeability Models. - 4. 7 Coupling Finite Elements To External Circuits. - 4. 8 Numerical Example. - 4. 9 Modeling Considerations. - 5 Computation of Losses Resistance and Inductance. - 5. 1 Introduction. - 5. 2 Computation of Eddy Current Loss. - 5. 3 Losses In A Series Winding. - 5. 4 Inductance and Reactance. - 5. 5 Poynting Vector. - 5. 6 Nonlinear Problems. - 6 Calculation Of Force And Torque. - 6. 1 Introduction. - 6. 2 Ampere's Force Law. - 6. 3 The Maxwell Stress Method. - 6. 4 The Virtual Work Method. - 6. 5 Using Machine Models to find Torque. - 6. 6 Errors in Force Computation. - 6. 7 Convergence of Force. - 7 Synchronous Machines in the Steady State. - 7. 1 Introduction. - 7. 2 The Basic Configuration of a Synchronous Machine. - 7. 3 Steady State Operation Excitation Calculation. - 7. 4 Modeling Considerations. - 7. 5 Excitation Calculation. - 7. 6 Computation of Steady State Reactances. - 7. 7 Direct Axis Transient Reactance X?d. - 7. 8 Direct Axis Subtransient Reactance X?d. - 7. 9 Frequency Response Curves. - 7. 10 Time Constants. - 7. 11 Poynting Vector Method. - 8 The Induction Motor in Steady State. - 8. 1 Introduction. - 8. 2 Obtaining Steady State Parameters. - 8. 3 Obtaining Reactances From The Frequency Response. - 8. 4 Results. - 8. 5 Using Frequency Domain Data With Time Domain Solutions. - 9 Time Domain Modeling of Induction Machines. - 9. 1 Introduction. - 9. 2 Electromagnetic and Mechanical Theory. - 9. 3 Galerkin Formulation. - 9. 4 Time Discretization. - 9. 5 Linearization. - 9. 6 Global System of Equations. - 9. 7 Examples. - 10 Air-Gap Elements for Electrical Machines. - 10. 1 Introduction. - 10. 2 Description of the Method. - 10. 3 Application. - 11 Axiperiodic Solutions. - 11. 1 Introduction. - 11. 2 Finite Element Formulation for Scalar Fields. - 11. 3 Calculation of Steady State Forces. - 11. 4 Calculation of Transient Forces. Language: English