CoverPrefaceContents

Chapter 1 Introduction1.1. Historical note1.2. Impact of computers1.3. Orientation of engineering problems to computersBibliography

Chapter 2 Matrix algebra2.1. Introduction2.2. Basic concepts and definitions2.3. Determinants2.4. Matrix operations2.5. Linear dependence and rank of a matrix2.6. Linear equationsProblemsBibliography

Chapter 3 Incidence and network matrices3.1. Introduction3.2. Graphs3.3. Incidence matrices3.4. Primitive network3.5. Formation of network matrices by singular transformations3.6. Formation of network matrices by nonsingular transformations3.7. Example of formation of incidence and network matricesProblemsBibliography

Chapter 4 Algorithms for formation of network matrices4.1. Introduction4.2. Algorithm for formation of bus impedance matrix4.3. Modification of the bus impedance matrix for changes in the network4.4. Example of formation and modification of bus impedance matrix4.5. Derivation of loop admitance matrix from bus impedance matrix4.6. Example of derivation of loop matrix from bus impedance matrixProblemsBibliography

Chapter 5 Three-phase networks5.1. Introduction5.2. Three-phase network elements5.3. Three-phase balanced network elements5.4. Transformation matrices5.5. Three-phase unbalanced network elements5.6. Incidence and network matrices for three-phase networks5.7. Algorithm for formation of three-phase bus impedance matrixProblemsBibliography

Chapter 6 Short circuit studies6.1. Introduction6.2. Short circuit calculations using Zbus6.3. Short circuit calculations for balanced three-phase network using Zbus6.4. Example of short circuit calculations using Zbus6.5. Short circuit calculations using Z-loop6.6. Example of short circuit calculations using Z-loop6.7. Description of short circuit programProblemsBibliography

Chapter 7 Solution of simultaneous algebraic equations7.1. Introduction7.2. Direct methods for solution of linear algebraic equations7.3. Example of solution of linear equations by direct methods7.4. Iterative methods for solution of linear algebraic equations7.5. Example of solution of linear equations by iterative methods7.6. Methods for solution of nonlinear algebraic equations7.7. Example of solution of nonlinear equations7.8. Comparison of methodsProblemsBibliography

Chapter 8 Load flow studies8.1. Introduction8.2. Power system equations8.3. Solution techniques8.4. Acceleration of convergence8.5. Examples of load flow calculations8.6. Voltage controlled buses8.7. Representation of transformers8.8. Tie line control8.9. Comparison of methodsProblemsBibliography

Chapter 9 Numerical solution of differential equations9.1. Introduction9.2. Numerical methods for solution of differential equations9.3. Solution of higher-order differential equations9.4. Examples of numerical solution of differential equations9.5. Comparison of methodsProblemsBibliography

Chapter 10 Transient stability studies10.1. Introduction10.2. Swing equation10.3. Machine equations10.4. Power system equations10.5. Solution techniques10.6. Example of transient stability calculations10.7. Exciter and governor control systems10.8. Distance relays10.9. Description of transient stability programProblemsBibliography

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