CONTENTS

About the Author

Preface

1 Introduction

1.1 Power System Studies

1.2 Organisation of Text Book

1.3 Computer's Role in Power System Studies

1.4 Matlab Fundamentals

2 Power System Network Matrices—1

2.1 Introduction

2.2 Graph of a Power System Network

2.3 Definitions

2.4 Incidence Matrices

2.5 Primitive Network

2.6 Network Equations and Network Matrices

2.7 Bus Admittance Matrix

2.8 Network Matrices by Singular Transformation Method

2.9 Network Matrices by Non-Singular Transformation Method

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3 Power System Network Matrices—2

3.1 Introduction

3.2 Partial Network

3.3 Case Studies in Z_bus Algorithm

3.4 Algorithm for Formation of Bus Impedance Matrix — No Mutual Coupling between the Elements

3.5 Algorithm for the Formation of Z_bus— Consideration of Mutually Coupled Elements

3.6 Modifications In Z_bus for Changes in the Network

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4 Power Flow Studies—1

4.1 Introduction

4.2 Network Modelling

4.3 Mathematical Modelling

4.4 Gauss–Seidel Iterative Method

4.5 Classification of Buses

4.6 Case Studies in Power Flow Problem

4.7 Algorithm for Power Flow Solution by the Gauss–Seidel Method

4.8 Conclusion

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5 Power Flow Studies—2

5.1 Introduction

5.2 Newton–Raphson Method

5.3 Power Flow Solution by Newton–Raphson Method

5.4 Decoupled Newton Method

5.5 Fast Decoupled Power Flow Method

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6 Short-Circuit Analysis—1 (Symmetrical Fault Analysis)

6.1 Introduction

6.2 Power System Representation

6.3 Per Unit Method

6.4 Symmetrical Fault Caculation

6.5 Current-Limiting Series Reactors

6.6 Consideration of Pre-Fault Load Current

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7 Short-Circuit Analysis—2 (Unbalanced Fault Analysis)

7.1 Introduction

7.2 Symmetrical Components

7.3 Sequence Impedances

7.4 Sequence Networks

7.5 Unbalanced or Unsymmetrical Fault Analysis

7.6 Comparison of SLG and 3-Phase Faults

7.7 Consideration of Pre-Fault Load Currents

7.8 Fault Calculations Using Bus Impedance Matrix

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8 Power System Steady-State Stability Analysis

8.1 Introduction

8.2 Forms of Power System Stability

8.3 Physical Concept of Torque and Torque Angle

8.4 Power Angle Curve and Transfer Reactance

8.5 The Swing Equation

8.6 Modelling Issues in the Stability Analysis

8.7 Assumptions made in Steady-State Stability Analysis

8.8 Steady-State Stability Analysis

8.9 Methods to Improve Steady-State Stability

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9 Transient Stability

9.1 Transient Stability—Equal Area Criterion

9.2 II Solution of the Swing Equation: Point-By-Point Method

9.3 Methods to Improve Transient Stability

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