
Fundamentals of Electrical Power Systems: A Primer with MATLAB
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Content
- Intro
- Contents
- Abstract
- Preface
- Acknowledgments
- Chapter 1
- Electrical Energy Sources
- 1.1. Structure of Electrical Power Systems
- 1.2. Energy Resources
- 1.3. Location of the Power Station
- 1.4. Types of Power Stations
- 1.4.1. Thermal Power Station (Steam Power Station)
- 1.4.1.1. Main Parts of the Thermal Power Station
- 1.4.1.2. Selection Site of the Thermal Power Station
- 1.4.2. Hydro-Electric Power Station
- 1.4.2.1. Choice of the Site
- 1.4.2.2. Hydro-Electric Plants Classification
- 1.4.2.3. Main Parts of Hydro-Electric Plants
- 1.4.2.4. Hydrology
- 1.4.3. Nuclear Power Station
- 1.4.3.1. Choice of the Site
- 1.4.3.2. Fuels
- 1.4.3.3. Elements of a Nuclear Power Station
- 1.4.4. Diesel Power Station
- 1.4.4.1. The Advantages of Diesel Power Station
- 1.4.4.2. The Disadvantages of Diesel Power Station
- 1.4.5. GAS Turbine Power Plant
- 1.4.5.1. The advantages of GAS Turbine Power Plant
- 1.4.5.2. The Disadvantages of GAS Turbine Power Plant
- 1.4.6. Solar Cell
- 1.4.6.1. Equivalent Circuit Model of Ideal and Practical Solar Cell
- 1.4.6.2. Performance Analysis
- 1.4.6.3. Series and Parallel Wiring
- Example 1.1
- Solution
- Example 1.2
- Solution
- Example 1.3
- Solution
- Example 1.4
- Solution
- Example 1.5
- Solution
- 1.4.6.4. Sizing of the Solar Array
- 1.4.6.5. Sizing of the Battery
- 1.4.6.6. Sizing of the Voltage Controller
- 1.4.6.7. Sizing of the Inverter
- 1.4.6.8. Sizing of the System Wiring
- Example 1.6
- 1.4.7. Modelling of Wind Power
- 1.4.7.1. Efficiency in Extracting Wind Power (Betz Limit & Power Coefficient)
- 1.4.7.2. Power Curve of Wind Turbine
- 1.4.7.3. Technical Speci cations E-82 ENERCON Wind Energy Converters
- 1.5. Load Curves and Factors
- Important Terms and Factors
- Example 1.7
- Solution
- 1.6. Load Duration Curve
- 1.7. Load Curves and Selection of the Number and Sizes of the Generation Units
- Example 1.8
- Solution
- Example 1.9
- Solution
- 1.8. Prediction of load and Energy Requirements
- 1.9. Choice of Type, Size, and Number of Generator Units
- 1.10. Power Calculation in Single-Phase AC Circuits
- 1.11. Balanced Three-Phase Circuits
- 1.11.1. Delta Connection
- 1.11.2. Wye Connection
- 1.11.3. Power Calculations in Balanced Three-Phase Circuits
- Example 3.11
- Solution
- Example 3.12
- Solution
- Example 3.13
- Solution
- 1.12. Per Unit Quantity
- Problems
- Chapter 2
- Elements of Power Systems
- 2.1. Generating Unit
- 2.2. Transmission Network
- 2.3. Grounding Transformer
- 2.4. Distribution System
- 2.5. Power Consumption / Load
- 2.6. Conductors
- 2.7. Power Electronics Devices
- 2.8. Protective Devices
- 2.9. Economic Choice of Transmission Voltage
- 2.10. Conductor material Characteristics of the Material
- Example 2.1
- Solution
- 2.11. Parameters of Overhead Transmission Lines
- 2.11.1. Resistance
- 2.11.2. Inductance
- 2.11.2.1. Inductance of a Solid Cylindrical Conductor due to Internal Flux
- 2.11.2.2. Inductance of Single-Phase Two - Wireline
- 2.11.2.3. The Inductance of Composite Conductor Lines
- 2.11.2.4. The Inductance of Three-Phase Lines
- 2.11.2.5. Inductance of Bundled Conductors
- Example 2.2
- Solution
- Example 2.3
- Solution
- 2.11.3. Capacitance of Transmission Lines
- 2.11.3.1. Capacitance of a Two Wire Line
- 2.11.3.2. Capacitance of Three-Phase Line
- 2.11.3.3. Effect of the Earth on the Capacitance of a Line
- 2.11.3.4. Charging Current due to Capacitance
- 2.11.3.5. Capacitance of Bundle Conductors
- Example 2.4
- Example 2.5
- Solution
- 2.12. Performance of Transmission Lines
- 2.12.1. Short Transmission Line
- 2.12.2. Medium Transmission Line
- 2.12.2.1. Nominal p Circuit
- 2.12.2.2. Nominal T Circuit
- 2.12.3. Long Transmission Line
- 2.12.3.1. Nominal p Circuit
- 2.12.3.2. Transmission Efficiency
- 2.13. Generalized Constants
- Example 2.6
- Solution
- Example 2.7
- Solution
- 2.14. Underground Cables
- Problems
- Chapter 3
- Load Flow Analysis
- 3.1. Incidence and Network Matrices
- 3.2. Power System Representation
- 3.3. Incidence Matrices
- 3.3.1. Element-Node Incidence Matrix , .
- 3.3.2. Bus Incidence Matrix A
- 3.4. Primitive Network
- 3.5. Formation of Network Matrices by Singular Transformations
- 3.6. Bus Admittance and Bus Impedance Matrices
- 3.7. Step by Step Formation of the Bus Admittance Matrix
- 3.8. Load Flow Analysis
- 3.8.1. The Power Flow Mathematical Model
- 3.8.2. Iterative Solutions to Linear Algebraic Equations
- 3.8.3. Iterative Solutions to Nonlinear Algebraic Equations (Newton - Raphson)
- 3.8.4. Power - Flow Equations
- 3.8.5. Power - Flow Solution by Gauss-Seidel
- 3.8.5.1. Divergence of Gauss-Seidel Method
- 3.8.6. Power- Flow Solution by Newton-Raphson
- 3.8.6.1. Divergence of Newton's Method
- 3.9. Voltage Controlled Bus
- 3.10. Voltage-Controlled Buses with Tap Changing Transformers
- 3.11. Fast Decoupled Power Flow Solution
- 3.12. Gauss-Iterative Method Using Zbus
- 3.13. Gauss-Seidel Iterative Method Using Zbus
- 3.14. Acceleration of Convergence
- 3.15. Line Flows and Losses
- Example 3.1
- 3.16. Load Flow Program
- 3.16. Design and Develop Program Stage
- Example 3.2
- Solution
- Example 3.3
- Solution
- Example 3.4
- Solution
- Problems
- Chapter 4
- Optimum Power Flow
- 4.1. Voltage Stability and Reactive Power Flow Problem
- 4.2. Power Loss and Power Flow Control
- 4.3. The Optimization Problem
- 4.4. Mathematical Formulation of the Optimization Problem
- 4.5. Optimization Techniques
- 4.5.1. Quadratic Programming (QP)
- 4.5.2. Linear Programming (LP)
- 4.5.3. fmincon Function
- 4.6. Optimal Power Flow
- 4.6.1. Mathematical Formulation of the OPF Problem
- 4.6.2. Classification of the OPF Algorithms Solution
- 4.6.3. Comparison of the OPF Algorithms Solution Classes
- 4.7. Non-Linear Function Optimization
- 4.8. Computer Solution Methods Using the Impedance Matrix
- 4.8.1. Impedance Matrix in Shunt Computation
- 4.8.2. Algorithm for Formulating [Zbus]
- Type 1 Modification (Addition of Tree Branch Zs from a New Bus q to Reference)
- Type 2 Modification (Addition of a Tree Brunch Zs from a New Bus q to Old Bus k)
- Type 3 Modification (Addition of a Link Zs Between an old Bus k and Reference)
- Type 4 Modification (Addition of Link Zs between Two Old Buses)
- 4.9. Matrices of Special Interest in Network Analysis
- Example 4.1
- Example 4.2
- 4.9.1. The 6-Bus Power System
- 4.9.1.1. The Optimum Power Flow of 6 Bus Results
- 4.9.1.2. Bus Results
- Example 4.3
- Solution
- 4.2.1.3. Applied Case Study Results
- Problems
- Chapter 5
- Faults Analysis
- 5.1. Fault Concept
- 5.2. Types of Faults
- 5.3. Symmetrical Fault Analysis
- 5.4. Unsymmetrical Faults Analysis
- 5.5. Symmetrical Components
- 5.5.1. Positive Sequence Components
- 5.5.2. Negative Sequence Components
- 5.5.3. Zero Sequence Components
- 5.6. Effect of Symmetrical Components on Impedance
- 5.7. Phase Shift ? / ? Connection ? / ?
- 5.8. Sequence Network of Unloaded Generator
- 5.9. Analysis of Unsymmetrical Faults by Using the Method of Symmetrical Component
- 5.9.1. Single Line-to-Ground Fault
- 5.9.2. Line-to-Line Fault
- 5.9.3. Double Line-to-Ground Fault
- 5.10. Fault Classification
- 5.11. Assumptions and Simplifications
- 5.12. Fault Voltage-Amps
- 5.13. Fault Levels in a Typical System
- Example 5.1
- 5.2.1. Balanced Three-Phase Fault: Fault Impedance Zf = 0
- 5.2.2. Single Line-to-Ground Fault
- 5.2.4. Double Line-to-Ground Fault
- Example 5.2
- Problems
- Chapter 6
- Power System Stability
- 6.1. Stability Concept
- 6.2. Steady-State Stability
- 6.3. Power Limit of Transmission System
- 6.4. Transient stability
- 6.5. Swing Equation
- Example 6.1
- Solution
- Example 6.2
- Solution
- 6.6. Transient Stability Analysis Methods
- 6.6.1. Indirect Methods
- 6.6.1.1. Step by Step Method
- 6.6.2. Direct Methods
- 6.6.2.1. Equal-Area Criterion
- 6.7. Determination of Maximum Sudden Increases of Generator Output
- 6.8. Switching Operation
- 6.9. Fault Condition
- 6.10. Determination of Critical Clearing Angle
- Example 6.3
- Solution
- Example 6.4
- Example 6.5
- 6.11. Multimachine Stability
- 6.12. Computer Solution Program of the Flow Chart of the Case Study
- 6.13. Stability Analysis by MATLAB
- Example 6.5
- Example 6.6
- Example 6.7
- Example 6.8
- Problems
- Chapter 7
- Power System Reliability
- 7.1. Concept of Reliability
- 7.2. Power System Reliability
- 7.3. Reliability Evaluation
- 7.4. Measuring Reliability
- 7.5. Series Systems
- 7.6. Parallel Systems
- 7.7. Network Modeling and Evaluation of Simple Systems
- 7.7.1. Reliability as a Probability Function
- 7.7.2. Reliability Indices
- 7.7.3. Availability Concepts
- 7.7.4. Reliability as a Function of Time
- 7.8. General Reliability Functions
- 7.9. Reliability Analysis
- 7.9.1. Deterministic Data
- 7.9.2. Stochastic data
- 7.10. Interconnected Systems
- 7.11. Cut Sets Technique (CST)
- Example 7.1
- Solution
- 7.12. Methods of Reliability Evaluation
- 7.12.1. Path Tracing Method
- 7.12.1.1. Path Tracing Method to Determine MCS
- Example 7.2
- Solution
- Example 7.3
- Solution
- 7.12.2. Fault Tree Analysis (FTA)
- 7.12.2.1. Application of Fault Tree Analysis
- 7.13. Markov Process Analysis
- 7.13.1. Markov Process Method
- 7.13.2. Representation of the General Method
- Example 7.4
- Example 7.5
- Solution
- 7.14. Eigen Value Method
- 7.15. Fussell Algorithm
- 7.15.1. Algorithms
- 7.15.2. Solution of Fussell Algorithm
- 7.15.3. Two-Unit System
- Example 7.6
- Problems
- Chapter 8
- Modeling of Synchronous Generator
- 8.1. Importance of Modeling
- 8.2. Turbogenerator Identification
- 8.3. Thermal Plant
- 8.4. Turbine Model
- 8.5. System Identification
- 8.6. Plant Description
- 8.7. GA Solution
- 8.8. Inertia Constant and Swing Equation
- 8.9. Synchronous Generator Modeling Concept in the Power System
- 8.10. Excitation System Control
- 8.11. Turbine Governor Control
- 8.11.1. Prime Mover and Governing System Controls
- 8.11.2. Relationship of Governor, Turbine, and Generator
- 8.12. Division of Load between Generators
- Example 9.2
- Solution
- 8.13. System Connected by Lines of Relatively Small Capacity
- 8.14. Amplitude and Frequency Estimation of Power System
- 8.14.1. Adaptive Hopf Oscillator (AHO)
- 8.14.2. Power System Signal Modeling
- Problems
- Chapter 9
- Power Distribution System
- 9.1. Generation
- 9.2. Transmission
- 9.3. Distribution
- 9.4. System Operation
- 9.5. Radial and Ring Distribution
- 9.6. Overhead and Underground Distribution
- 9.7. Distribution Equipment
- 9.7.1. Transformers
- 9.7.2. Circuit Breakers
- 9.7.3. Disconnect Switches
- 9.7.4. Metering Equipment
- 9.8. Distribution Inside Large Buildings
- 9.8.1. Single Rising Main
- 9.8.2. Grouped Supply
- 9.8.3. Individual Floor Supply
- 9.8.4. Ring Main Supply
- 9.8.5. Double Feed Supply
- 9.9. Constructional Details of 33/11 kV and 11/0.4 kV Distribution Substations
- 9.10. Emergency Generators
- 9.11. Mains Failure Panel (MFP)
- 9.12. Uninterruptible Power Supply (UPS)
- Case (1): Mains Available (Normal Operation)
- Case (2): Mains Failed (Emergency Operation)
- Case (3): Return of Mains
- 9.13. Parallel Systems
- 9.14. Reactive Power Control in Distribution Networks
- 9.14.1. Individual Compensation
- 9.14.2. Control Methods
- 9.15. Distribution System Configuration
- 9.15.1. Radial Distribution System
- 9.15.2. Ring Distribution System
- 9.15.3. Spike Distribution System
- 9.15.4. Spindle Distribution System
- 9.15.5. Network (or Grid) Distribution System
- 9.15.6. Primary Selective Distribution System
- 9.16. Distribution System Parameters
- 9.16.1. Conductor Resistance
- 9.16.2. Inductive Reactance
- 9.17. Conductor Materials
- 9.18. Transformer Losses
- 9.19. Economic Number of Transformers
- 9.20. Radial Distribution System Calculations
- Example 9.1
- Solution
- Problems
- Chapter 10
- VAR Compensator
- 10.1. Objectives of Load Compensation
- 10.1.1. Power Factor Correction
- 10.1.2. Voltage Regulation
- 10.1.3. Load Balancing
- 10.2. Types of Reactive Power Compensation
- 10.2.1. Series Capacitor
- 10.2.2. Synchronous Condensers
- 10.2.3. Shunt Capacitors
- 10.2.4. Shunt Reactors
- 10.3. Controls of Switched Shunt Capacitors
- 10.4. Harmonic Distortion in Power System
- 10.5. Source of Harmonics
- 10.6. Harmonic Measurement
- 10.6.1. Distortion Factor
- 10.6.2. Telephone Interference Factor
- 10.7. Harmonic Reduction Methods
- 10.7.1. Shunt Filters
- 10.7.2. Series Filters
- 10.8. Operation of Thyristor Controlled SVCs
- 10.9. SVC Parameters Calculation
- 10.9.1. Static VAR Compensator Configurations
- 10.9.2. Calculation of the TCR Firing Angle
- 10.10. Three-Phase Current Balancing
- 10.11. Harmonics Due to SVC Operation
- 10.11.1. Measurement of Harmonic Effects
- 10.12. Real Time Technique
- 10.13. Control of SVC by ANN
- 10.14. Control Network
- 10.15. Structure of the ANNs Based SVC Controller
- 10.16. Training of ANNs
- 10.17. Numerical Test Systems
- 10.17.1. Theoretical Test System
- Control Network of Theoretical Test System
- 10.17.2. Practical Test System
- 10.17.2.1. Arc Furnace Application
- Control Network of Arc Furnace Application
- 10.17.2.2. Radial Distribution System
- Control Network of Radial Distribution System
- 10.17.2.3. Radial Transmission System
- Control Network of Radial Transmission System
- Problems
- Appendices
- Appendix A: Complex Numbers
- A.1. Representation of Complex Numbers
- A.2. Mathematical Operations
- A.3. Euler's Formula
- Appendix B: Mathematical Formulas
- B.1. Quadratic Formulas
- B.2. Trigonometric Identities
- B.3. Trigonometric Substitution
- B.4. Hyberbolic Functions
- B.5. Derivatives
- B.6. Indefinite Integrals
- B.7. Definite Integrals
- B.8. L'Hopital's Rule
- B.9. Summation
- B.10. Numerical Integration Approximations
- B.11. Powers of the Trig Functions
- Appendix C: Introduction to MATLAB®
- C.1. MATLAB Basics
- C.2. Using MATLAB to Plot
- References
- About the Author
- Index
- Blank Page
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