## CONTENTS

1.3 Computer's Role in Power System Studies

2 Power System Network Matrices—1

2.2 Graph of a Power System Network

2.6 Network Equations and Network Matrices

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

3.3 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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4.4 Gauss–Seidel Iterative Method

4.6 Case Studies in Power Flow Problem

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

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5.3 Power Flow Solution by Newton–Raphson Method

5.5 Fast Decoupled Power Flow Method

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

6.2 Power System Representation

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)

7.5 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

8.2 Forms of Power System Stability

8.3 Physical Concept of Torque and Torque Angle

8.4 Power Angle Curve and Transfer Reactance

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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9.1 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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