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Electrical Machines Mathematical Fundamentals of Machine Topologies

Electrical Machines Mathematical Fundamentals of Machine Topologies

Contents
• Fundamentals
• Maxwell’s Equations
• The Maxwell’s Equations In Differential Form
• The Maxwell’s Equations In Integral Form
• Ampere’s Law (First Maxwell’s Equation In Integral Form)
• Faraday’s Law, Law Of Induction (Second Maxwell’s Equation In
• Integral Form
• Law Of Direction
• The Third Maxwell’s Equation In Integral Form
• The Fourth Maxwell’s Equation In Integral Form
• Examples For The Ampere’s Law (First Maxwell’s Equation In
• Integral Form
Examples For The Faraday’s Law (Second Maxwell’s Equation In Integral Form)
• Definition Of Positive Directions
• Energy, Force, Power
• Complex Phasors
• Star And Delta Connection
• Symmetric Components
• Mutual Inductivity
• Iron Losses
• References For Chapter
• Dc machines
• Principle Construction
• Voltage And Torque Generation, Commutation
• Number Of Pole Pairs, Winding Design
• Main Equations Of The Dc machine
• First Main Equation: Induced Voltage
• Second Main Equation: Torque
• Third Main Equation: Terminal Voltage
• Permanent Magnet Excited Dc machines
• Shunt wound Dc machines
• Series wound Dc machines
• Compound Dc machines
• Generation Of A Variable Terminal Voltage
• Armature Reaction
• Commutation Pole
• References For Chapter
• Electrical Machines Mathematical Fundamentals
Rotating Field Theory
• Stator Of A Rotating Field Machine
• Alternating And Rotating Magnetomotive Force
• Winding Factor
• Fundamentals
• Rotating Airgap Field
• Induced Voltage And Slip
• Torque And Power
• References For Chapter
• Induction Machines
• Construction And Equivalent Circuit Diagram
• Resistances And Inductivities
• Phase Resistance
• Main Inductivity
• Leakage Inductivity
• Harmonic Leakage
• Slot Leakage
• End Winding Leakage
• Operating Characteristics
• Hey land diagram (Stator Phase Current Locus Diagram)
• Torque And Power
• Torque As A Function Of Slip
• Electrical Machines Mathematical Fundamentals

Series Resistance In The Rotor Circuit
• Possibilities For Open loop Speed Control
• Changing (Increasing) The Slip
• Changing The Supply Frequency
• Changing The Number Of Pole Pairs
• Star delta switching
• Induction Machine
• References For Chapter
• Synchronous Machines
• Equivalent Circuit And Phasor Diagram
• Types Of Construction
• Highspeed Generator With Cylindrical Rotor
• Salient pole Generator
• Operation At Fixed Mains Supply
• Switching To The Mains
• Torque Generation
• Operating Areas
• Operating Limits
• Isolated Operation
• Control Characteristics
• Salient pole Synchronous Machines
• References For Chapter
• Permanent Magnet Excited Rotating Field Machines
• Electrical Machines Mathematical Fundamentals
Rotor Construction
• Line start motor
• Electronically Commutated Rotating Field Machine With Surface Mounted
• Magnets
• Fundamentals
• Brushless Dc motor
• Electronically Commutated Permanent Magnet Excited Synchronous
• Machine
• Calculation Of The Operational Characteristics; Permanent Magnet Excited
• Machines With Buried Magnets
• References For Chapter
• Main Characteristics
• References For Chapter
• Small Machines For Single phase Operation
• Fundamentals
• Universal Motor
• Single phase Induction Machine
• Single phase Operation Of Three phase Induction Machine
• Single phase Induction Motor With Auxiliary Phase
• Shaded pole (Split pole) Motor
• References For Chapter
• Fundamentals Of Dynamic Operation
• Fundamental Dynamic Law, Equation Of Motion
• Translatory Motion
• Electrical Machines Mathematical Fundamentals
Translatory / Rotatory Motion
• Rotatory Motion
• Stability
• Mass Moment Of Inertia
• Inertia Of An Arbitrary Body
• Inertia Of A Hollow Cylinder
• Simple Gearsets
• Assumptions
• Rotation / Rotation (Eg Gear Transmission)
• Rotation / Translation (Eg Lift Application)
• Power And Energy
• Slow Speed Change
• Fundamentals
• First Example
• Second Example