000 12196nam a2200325 i 4500
008 091222s2010 fluaf b 001 0 eng
010 _a2009050603
020 _a9781439805824
_qalk. paper
020 _a1439805822
_qalk. paper
040 _aDLC
_beng
_cDLC
_dYDX
_dBTCTA
_dUKM
_dYDXCP
_dBWX
_dCDX
_dBAUN
_erda
049 _aBAUN_MERKEZ
050 0 4 _aTK2551
_b.T765 2010
082 0 0 _222
245 0 0 _aTransformer design principles :
_bwith applications to core-form power transformers /
_cRobert M. Del Vecchio ... [and others]
250 _a2nd ed
264 1 _aBoca Raton, FL :
_bCRC Press/Taylor and Francis,
_c[2010]
264 4 _c©2010
300 _axiii, 606 pages, [16] pages of plates :
_billustrations (some color) ;
_c25 cm
336 _atext
_btxt
_2rdacontent
337 _aunmediated
_bn
_2rdamedia
338 _avolume
_bnc
_2rdacarrier
504 _aIncludes bibliographical references and index
505 0 0 _tContents
_t Preface
_t1 Introduction
_t1.1 Historical Background
_t1.2 Uses in Power Systems
_t1.3 Core-Form and Shell-Form Transformers
_t1.4 Stacked and Wound Core Construction
_t1.5 Transformer Cooling
_t1.6 Winding Types
_t1.7 Insulation Structures
_t1.8 Structural Elements
_t1.9 Modern Trends
_t2 Magnetism and Related Core Issues
_t2.1 Introduction
_t2.2 Basic Magnetism
_t2.3 Hysteresis
_t2.4 Magnetic Circuits
_t2.5 Inrush Current
_t2.6 Distinguishing Inrush from Fault Current
_t2.7 Optimal Core Stacking
_t3 Circuit Model of a Two-Winding Transformer with Core
_t3.1 Introduction
_t3.2 Circuit Model of the Core
_t3.3 Two-Winding Transformer Circuit Model with Core
_t3.4 Approximate Two-Winding Transformer Circuit Model without Core
_t3.5 Vector Diagram of a Loaded Transformer with Core
_t3.6 Per-Unit System
_t3.7 Voltage Regulation
_t4 Reactance and Leakage Reactance Calculations
_t4.1 Introduction
_t4.2 General Method for Determining Inductances and Mutual Inductances
_t4.2.1 Energy by Magnetic Field Methods
_t4.2.2 Energy from Electric Circuit Methods
_t4.3 Two-Winding Leakage Reactance Formula
_t4.4 Ideal Two-, Three-, and Multiwinding Transformers
_t4.4.1 Ideal Autotransformers
_t4.5 Leakage Reactance for Two-Winding Transformers Based on Circuit Parameters
_t4.5.1 Leakage Reactance for a Two-Winding Autotransformer
_t4.6 Leakage Reactances for Three-Winding Transformers
_t4.6.1 Leakage Reactance for an Autotransformer with a Tertiary Winding
_t4.6.2 Leakage Reactance between Two Windings Connected in Series and a Third Winding
_t4.6.3 Leakage Reactance of a Two-Winding Autotransformer with X-Line Taps
_t4.6.4 More General Leakage Reactance Calculations
_t5 Phasors, Three-Phase Connections, and Symmetrical Components
_t5.1 Phasors
_t5.2 Wye and Delta Three-Phase Connections
_t5.3 Zig-Zag Connection
_t5.4 Scott Connection
_t5.5 Symmetrical Components
_t6 Fault Current Analysis
_t6.1 Introduction
_t6.2 Fault Current Analysis on Three-Phase Systems
_t6.2.1 Three-Phase Line-to-Ground Fault
_t6.2.2 Single-Phase Line-to-Ground Fault
_t6.2.3 Line-to-Line Fault
_t6.2.4 Double Line-to-Ground Fault
_t6.3 Fault Currents for Transformers with Two Terminals per Phase
_t6.3.1 Three-Phase Line-to-Ground Fault
_t6.3.2 Single-Phase Line-to-Ground Fault
_t6.3.3 Line-to-Line Fault
_t6.3.4 Double Line-to-Ground Fault
_t6.3.5 Zero-Sequence Circuits
_t6.3.6 Numerical Example for a Single Line-to-Ground Fault
_t6.4 Fault Currents for Transformers with Three Terminals per Phase
_t6.4.1 Three-Phase Line-to-Ground Fault
_t6.4.2 Single-Phase Line-to-Ground Fault
_t6.4.3 Line-to-Line Fault
_t6.4.4 Double Line-to-Ground Fault
_t6.4.5 Zero-Sequence Circuits
_t6.4.6 Numerical Examples
_t6.5 Asymmetry Factor
_t7 Phase-Shifting and Zig-Zag Transformers
_t7.1 Introduction
_t7.2 Basic Principles
_t7.3 Squashed Delta Phase-Shifting Transformer
_t7.3.1 Zero-Sequence Circuit Model
_t7.4 Standard Delta Phase-Shifting Transformer
_t7.4.1 Zero-Sequence Circuit Model
_t7.5 Two-Core Phase-Shifting Transformer
_t7.5.1 Zero-Sequence Circuit Model
_t7.6 Regulation Effects
_t7.7 Fault Current Analysis
_t7.7.1 Squashed Delta Fault Currents
_t7.7.2 Standard Delta Fault Currents
_t7.7.3 Two-Core Phase-Shifting Transformer Fault Currents
_t7.8 Zig-Zag Transformer
_t7.8.1 Calculation of Electrical Characteristics
_t7.8.2 Per-Unit Formulas
_t7.8.3 Zero-Sequence Impedance
_t7.8.4 Fault Current Analysis
_t8 Multiterminal Three-Phase Transformer Model
_t8.1 Introduction
_t8.2 Theory
_t8.2.1 Two-Winding Leakage Inductance
_t8.2.2 Multiwinding Transformers
_t8.2.3 Transformer Loading
_t8.3 Transformers with Winding Connections within a Phase
_t8.3.1 Two Secondary Windings in Series
_t8.3.2 Primary Winding in Series with a Secondary Winding
_t8.3.3 Autotransformer
_t8.4 Multiphase Transformers
_t8.4.1 Delta Connection
_t8.4.2 Zig-Zag Connection
_t8.5 Generalizing the Model
_t8.6 Regulation and Terminal Impedances
_t8.7 Multiterminal Transformer Model for Balanced and Unbalanced Load Conditions
_t8.7.1 Theory
_t8.7.2 Admittance Representation
_t8.7.2.1 Delta Winding Connection
_t8.7.3 Impedance Representation
_t8.7.3.1 Ungrounded Y Connection
_t8.7.3.2 Series-Connected Windings from the Same Phase
_t8.7.3.3 Zig-Zag Winding Connection
_t8.7.3.4 Autoconnection
_t8.7.3.5 Three Windings Joined
_t8.7.4 Terminal Loading
_t8.7.5 Solution Process
_t8.7.5.1 Terminal Currents and Voltages
_t8.7.5.2 Winding Currents and Voltages
_t8.7.6 Unbalanced Loading Examples
_t8.7.6.1 Autotransformer with Buried Delta Tertiary and Fault on Low-Voltage Terminal
_t8.7.6.2 Power Transformer with Fault on Delta Tertiary
_t8.7.6.3 Power Transformer with Fault on Ungrounded Y Secondary
_t8.7.7 Balanced Loading Example
_t8.7.7.1 Standard Delta Phase-Shifting Transformer
_t8.7.8 Discussion
_t9 Rabins' Method for Calculating Leakage Fields, Leakage Inductances, and Forces in Transformers
_t9.1 Introduction
_t9.2 Theory
_t9.3 Rabins' Formula for Leakage Reactance
_t9.3.1 Rabins' Method Applied to Calculate the Leakage Reactance between Two Windings That Occupy Different Radial Positions
_t9.3.2 Rabins' Method Applied to Calculate the Leakage Reactance between Two Axially Stacked Windings
_t9.3.3 Rabins' Method Applied to Calculate the Leakage Reactance for a Collection of Windings
_t9.4 Application of Rabins' Method to Calculate the Self-Inductance of and Mutual Inductance between Coil Sections
_t9.5 Determining the B-Field
_t9.6 Determination of Winding Forces
_t9.7 Numerical Considerations
_t10 Mechanical Design
_t10.1 Introduction
_t10.2 Force Calculations
_t10.3 Stress Analysis
_t10.3.1 Compressive Stress in the Key Spacers
_t10.3.2 Axial Bending Stress per Strand
_t10.3.3 Tilting Strength
_t10.3.4 Stress in the Tie Bars
_t10.3.5 Stress in the Pressure Ring
_t10.3.6 Hoop Stress
_t10.3.7 Radial Bending Stress
_t10.4 Radial Buckling Strength
_t10.4.1 Free Unsupported Buckling
_t10.4.2 Constrained Buckling
_t10.4.3 Experiment to Determine Buckling Strength
_t10.5 Stress Distribution in a Composite Wire-Paper Winding Section
_t10.6 Additional Mechanical Considerations
_t11 Electric Field Calculations
_t11.1 Simple Geometries
_t11.1.1 Planar Geometry
_t11.1.2 Cylindrical Geometry
_t11.1.3 Spherical Geometry
_t11.1.4 Cylinder-Plane Geometry
_t11.2 Electric Field Calculations Using Conformal Mapping
_t11.2.1 Physical Basis
_t11.2.2 Conformal Mapping
_t11.2.3 Schwarz-Christoffel Transformation
_t11.2.4 Conformal Map for the Electrostatic Field Problem
_t11.2.4.1 Electric Potential and Field Values
_t11.2.4.2 Calculations and Comparison with a Finite Element Solution
_t11.2.4.3 Estimating Enhancement Factors
_t11.3 Finite Element Electric Field Calculations
_t12 Capacitance Calculations
_t12.1 Introduction
_t12.2 Distributive Capacitance along a Winding or Disk
_t12.3 Stein's Disk Capacitance Formula
_t12.4 General Disk Capacitance Formula
_t12.5 Coil Grounded at One End with Grounded Cylinders on Either Side
_t12.6 Static Ring on One Side of a Disk
_t12.7 Terminal Disk without a Static Ring
_t12.8 Capacitance Matrix
_t12.9 Two Static Rings
_t12.10 Static Ring between the First Two Disks
_t12.11 Winding Disk Capacitances with Wound-in Shields
_t12.11.1 Analytic Formula
_t12.11.2 Circuit Model
_t12.11.3 Experimental Methods
_t12.11.4 Results
_t12.12 Multistart Winding Capacitance
_t13 Voltage Breakdown and High-Voltage Design
_t13.1 Introduction
_t13.2 Principles of Voltage Breakdown
_t13.2.1 Breakdown in Solid Insulation
_t13.2.2 Breakdown in Transformer Oil
_t13.3 Geometric Dependence of Transformer-Oil Breakdown
_t13.3.1 Theory
_t13.3.2 Planar Geometry
_t13.3.3 Cylindrical Geometry
_t13.3.4 Spherical Geometry
_t13.3.5 Comparison with Experiment
_t13.3.6 Generalization
_t13.3.6.1 Breakdown for the Cylinder-Plane Geometry
_t13.3.6.2 Breakdown for the Disk-Disk-to-Ground Plane Geometry
_t13.3.7 Discussion
_t13.4 Insulation Coordination
_t13.5 Continuum Model of Winding Used to Obtain the Impulse-Voltage
505 0 0 _t Distribution
_t13.5.1 Uniform Capacitance Model
_t13.5.2 Traveling Wave Theory
_t13.6 Lumped-Parameter Model for Transient Voltage Distribution
_t13.6.1 Circuit Description
_t13.6.2 Mutual and Self-Inductance Calculations
_t13.6.3 Capacitance Calculations
_t13.6.4 Impulse-Voltage Calculations and Experimental Comparisons
_t13.6.5 Sensitivity Studies
_t14 Losses
_t14.1 Introduction
_t14.2 No-Load or Core Losses
_t14.2.1 Building Factor
_t14.2.2 Interlaminar Losses
_t14.3 Load Losses
_t14.3.1 I2R Losses
_t14.3.2 Stray Losses
_t14.3.2.1 Eddy Current Losses in the Coils
_t14.3.2.2 Tieplate Losses
_t14.3.2.3 Tieplate and Core Losses Due to Unbalanced Currents
_t14.3.2.4 Tank and Clamp Losses
_t14.3.3 Stray Losses Obtained from 3D Finite Element Analyses
_t14.3.3.1 Shunts on the Clamps
_t14.3.3.2 Shunts on the Tank Wall
_t14.3.3.3 Effects of Three-Phase Currents on Losses
_t14.3.3.4 Stray Losses from the 3D Analysis versus Analytical and Test Losses
_t14.4 Tank and Shield Losses Due to Nearby Busbars
_t14.4.1 Losses Obtained with 2D Finite Element Study
_t14.4.2 Losses Obtained Analytically
_t14.4.2.1 Current Sheet
_t14.4.2.2 Delta Function Current
_t14.4.2.3 Collection of Delta Function Currents
_t14.4.2.4 Model Studies
_t14.5 Tank Losses Associated with the Bushings
_t14.5.1 Comparison with a 3D Finite Element Calculation
_t15 Thermal Design
_t15.1 Introduction
_t15.2 Thermal Model of a Disk Coil with Directed Oil Flow
_t15.2.1 Oil Pressures and Velocities
_t15.2.2 Oil Nodal Temperatures and Path Temperature Rises
_t15.2.3 Disk Temperatures
_t15.3 Thermal Model for Coils without Directed Oil Flow
_t15.4 Radiator Thermal Model
_t15.5 Tank Cooling
_t15.6 Oil Mixing in the Tank
_t15.7 Time Dependence
_t15.8 Pumped Flow
_t15.9 Comparison with Test Results
_t15.10 Determining m and n Exponents
_t15.11 Loss of Life Calculation
_t15.12 Cable and Lead Temperature Calculation
_t15.13 Tank Wall Temperature Calculation
_t15.14 Tieplate Temperature
_t15.15 Core Steel Temperature Calculation
_t16 Load Tap Changers
_t16.1 Introduction
_t16.2 General Description of Load Tap Changers
_t16.3 Types of Regulation
_t16.4 Principles of Operation
_t16.4.1 Resistive Switching
_t16.4.2 Reactive Switching with Preventive Autotransformers
_t16.5 Connection Schemes
_t16.5.1 Power Transformers
_t16.5.2 Autotransformers
_t16.5.3 Use of Auxiliary Transformers
_t16.5.4 Phase-Shifting Transformers
_t16.5.5 Reduced versus Full-Rated Taps
_t16.6 General Maintenance
_t17 Miscellaneous Topics
_t17.1 Setting the Impulse Test Generator to Achieve Close to Ideal Waveshapes
_t17.1.1 Impulse Generator Circuit Model
_t17.1.2 Transformer Circuit Model
_t17.1.3 Determining the Generator Settings for Approximating the Ideal Waveform
_t17.1.4 Practical Implementation
_t17.2 Impulse or Lightning Strike on a Transformer through a Length of Cable
_t17.2.1 Lumped Parameter Model
_t17.2.1.1 Numerical Example
_t17.2.2 Traveling Wave Theory
_t17.3 Air Core Inductance
_t17.4 Electrical Contacts
_t17.4.1 Contact Resistance
_t17.4.2 Thermal Considerations
_t17.4.3 Practical Considerations
_t References
_t Index
650 0 _aElectric transformers
_xDesign and construction
700 1 _aDel Vecchio, Robert M
900 _a028685
900 _bsatın
942 _2lcc
_cKT
999 _c24893
_d24893