Dynamics of Electrical Machines: Practical Examples in Energy and Transportation Systems

ISBN-13: 9781466517059 / Angielski / Twarda / 2025 / 500 str.

M. Kemal Sarioglu; Bulent Bilir; Metin Gokaşan

Spis treści

Energy, Co-Energy, Torque, and Force of Electric Origin

Introduction

Fundamental Relationships in Mechanics

Fundamental Relationships for Electrical Parts

The Mathematical Model of Electromechanical Systems

Simplification of Electromechanical Systems Analysis by Means of Conservation of Energy and an Arbitrary Displacement

Conservation of Energy and Arbitrary Displacement to Determine the Torque (or Force) of Electromagnetic Origin

Energy and Co-Energy for Magnetic Field Coupling

Examples for Finding Stored Magnetic Energy and Co-Energy

Determination of Torque (or Force) of Electrical Origin

Examples for Finding Torques and Forces of Electric Origin

Mathematical Model of Electromechanical System

Examples of Building the Mathematical Model of Electromechanical Devices

Mathematical Model of Electrical Machines

Introduction

Air Gap Structure of Electrical Machines and Inductance Matrices

Flux Linkage in Smooth Air-Gap Machines

Flux Linkage in Smooth Air-Gap Machines with Single Coil

Distributed Winding with Full-Pitch Coils on Stator and Rotor

Mathematical Model of Smooth Air-Gap Machine Having One Uniformly Distributed Winding on Stator and One on the Rotor

Necessary Conditions for Continuous Energy Conversion

Mathematical Model for Two-Phase Smooth Air-Gap Synchronous Machine

Mathematical Model for Two-Phase Wound-Rotor Induction Machine

Mathematical Model of Three-Phase Smooth Air-Gap Synchronous Machine

Mathematical Model of Three-Phase Wound-Rotor Induction Machine

Salient Pole Machine with Saliency on Rotor

Mathematical Model of Three-Phase Salient-Pole Synchronous Machine with Saliency on the Rotor

Mathematical Model of Single Axis D-C Machines

Mathematical Model for 2-Axis D-C Machines (Amplidyne)

n-m Winding Machine

Matrix Transformations for Solving Mathematical Model of Electrical Machines

Introduction

Linear Transformations and Diagonalizations

Linear Transformations and Power Invariance

Symmetrical Component Transformation

Three-Phase (a,b,c) to Two-Phase Real Components (O,a, ~) Transformation

Three-Phase (a,b,c) to (O,d,q) Rotating Coordinate Transformation

Three-Phase (a,b,c) to (O,f,b) Forward and Backward Components Transformation

Transformation between Different Sets of Variables

Transformation of General Equations of Synchronous Machine

Introduction

(a,b,c) to (O,d,qlll) Transformation Applied to Synchronous Machine

Equivalent Circuit of Salient-Pele Synchronous Machine with Dependent Voltage Sources

Time Constants and Operational Inductances

Linearization for Small-Speed Changes

Transformation of Induction Machine Equations

Introduction

Transformation of the Equations of Three-Phase Wound-Rotor Induction Machine

Application of (Odq) Transformation

Symmetrical Component Transformation Applied to the n-m Winding Machine

Two-Phase Induction Machine

Single-Phase Induction Machine

Generalized Machine

State Equations of Electrical Machines and Per-Unit Quantities

Introduction

State Equations of Synchronous Machines

Per-Unit Quantities

The Per-Unit Equations of Synchronous Machine

State Equations of Salient-Pele Synchronous Machines Written in Per-Unit Quantities

Determination of the Elements of Parameter Matrices from the Standard Constants of the Machine

State Equations of D-C Machines (Separately Excited D-C Machine)

State Equations of Compound Motor

State Equations of Amplidyne

State Model of Induction Machine in Odq Coordinates

Types of Problems and Methods Used for the Solution

Steady-State Operation of Synchronous Machine

Symmetrical Short Circuit of Salient-Pole Synchronous Machines

Steady-State Operation of Three-Phase Wound-Rotor Induction Machine

Control of Electrical Machines

Introduction

Electrical Machines as Multiple-Input and Multiple-Output Systems

Controllability and Observability

Automatic Control of Separately Excited D-C Machines

Position Control of a Load by Means of Separately Excited D-C Motors

Silicon-Controlled Rectifiers (Thyristors)

Mathematical Model of SCR

Speed Control of Separately Excited D-C Motor

Digital Simulation of a Three-Phase Half-Controlled Bridge Driven by D-C Motor

Methods of Speed Control of Induction Machines

Automatic Control of Synchronous Machines

Double-Excited Synchronous Machine

Introduction

Double-Excited Synchronous Machines

Time Constants and Operational Inductances

Control of (d) and (q) Axis Excitations

Direct and Quadrature Axis Excitation Control and Stability