Electromagnetic Modeling by Finite Element Methods

ISBN-13: 9780824742690 / Angielski / Twarda / 2003 / 510 str.

Joao Pedro a. Bastos; Nelson Sadowski; Bastos Pedro a. Bastos

Opis

This text examines aspects of the Finite Element Method (FEM) for electromagnetic analysis of low-frequency electrical devices. It offers examples, including torque, vibration and iron loss calculation; coupling of the FEM with mechanical equations, circuits, converters, and thermal effects.

Spis treści

PREFACEMATHEMATICAL PRELIMINARIESIntroductionThe Vector NotationVector DerivationThe GradientThe DivergenceThe RotationalSecond-Order OperatorsApplication of Operators to More than One FunctionExpressions in Cylindrical and Spherical CoordinatesMAXWELL EQUATIONS, ELECTROSTATICS, MAGNETOSTATICS, AND MAGNETODYNAMIC FIELDSIntroductionThe EM QuantitiesLocal Form of the EquationsThe AnisotropyThe Approximation of Maxwell's EquationsThe Integral Form of Maxwell's EquationsElectrostatic FieldsMagnetostatic FieldsMagnetodynamic FieldsBRIEF PRESENTATION OF THE FINITE ELEMENT METHODIntroductionThe Galerkin Method - Basic ConceptsA First-Order Finite Element ProgramGeneralization of the Finite Element MethodNumerical IntegrationSome 2D Finite ElementsCoupling Different Finite ElementsCalculation of Some Terms in the Field EquationA Simplified 2D Second-Order Finite Element ProgramTHE FINITE ELEMENT METHOD APPLIED TO 2D ELECTROMAGNETIC CASESIntroductionSome Static CasesApplication to 2D Eddy Current ProblemsAxi-Symmetric ApplicationAdvantages and Limitation of 2D FormulationsNon-Linear ApplicationsGeometric Repetition of DomainsThermal ProblemsVoltage-Fed Electromagnetic DevicesStatic ExamplesDynamic ExamplesCOUPLING OF FIELD AND ELECTRICAL CIRCUIT EQUATIONSIntroductionElectromagnetic EquationsEquations for Different Conductor ConfigurationsConnections Between Electromagnetic Devices and External Feeding CircuitsExamplesMOVEMENT MODELING FOR ELECTRICAL MACHINESIntroductionThe Macro-ElementThe Moving BandThe Skew Effect in Electrical Machines Using 2D SimulationExamplesINTERACTION BETWEEN ELECTROMAGNETIC AND MECHANICAL FORCESIntroductionMethods Based on Direct FormulationsMethods Based on the Force DensityElectrical Machine Vibrations Originated by Magnetic ForcesExample of Coupling Between the Field and Circuit Equations, Including Mechanical TransientsIRON LOSSESIntroductionEddy Current LossesHysteresisAnomalous or Excess LossesTotal Iron LossesThe Jiles-Atherton ModelThe Inverse Jiles-Atherton ModelIncluding Iron Losses in Finite Element CalculationsBIBLIOGRAPHYINDEX

O autorze

João Pedro A. Bastos, Nelson Sadowski