Cover
Preface
Contents
Chapter 1 Introduction
1.1. Historical note
1.2. Impact of computers
1.3. Orientation of engineering problems to computers
Bibliography
Chapter 2 Matrix algebra
2.1. Introduction
2.2. Basic concepts and definitions
2.3. Determinants
2.4. Matrix operations
2.5. Linear dependence and rank of a matrix
2.6. Linear equations
Problems
Bibliography
Chapter 3 Incidence and network matrices
3.1. Introduction
3.2. Graphs
3.3. Incidence matrices
3.4. Primitive network
3.5. Formation of network matrices by singular transformations
3.6. Formation of network matrices by nonsingular transformations
3.7. Example of formation of incidence and network matrices
Problems
Bibliography
Chapter 4 Algorithms for formation of network matrices
4.1. Introduction
4.2. Algorithm for formation of bus impedance matrix
4.3. Modification of the bus impedance matrix for changes in the network
4.4. Example of formation and modification of bus impedance matrix
4.5. Derivation of loop admitance matrix from bus impedance matrix
4.6. Example of derivation of loop matrix from bus impedance matrix
Problems
Bibliography
Chapter 5 Three-phase networks
5.1. Introduction
5.2. Three-phase network elements
5.3. Three-phase balanced network elements
5.4. Transformation matrices
5.5. Three-phase unbalanced network elements
5.6. Incidence and network matrices for three-phase networks
5.7. Algorithm for formation of three-phase bus impedance matrix
Problems
Bibliography
Chapter 6 Short circuit studies
6.1. Introduction
6.2. Short circuit calculations using Zbus
6.3. Short circuit calculations for balanced three-phase network using Zbus
6.4. Example of short circuit calculations using Zbus
6.5. Short circuit calculations using Z-loop
6.6. Example of short circuit calculations using Z-loop
6.7. Description of short circuit program
Problems
Bibliography
Chapter 7 Solution of simultaneous algebraic equations
7.1. Introduction
7.2. Direct methods for solution of linear algebraic equations
7.3. Example of solution of linear equations by direct methods
7.4. Iterative methods for solution of linear algebraic equations
7.5. Example of solution of linear equations by iterative methods
7.6. Methods for solution of nonlinear algebraic equations
7.7. Example of solution of nonlinear equations
7.8. Comparison of methods
Problems
Bibliography
Chapter 8 Load flow studies
8.1. Introduction
8.2. Power system equations
8.3. Solution techniques
8.4. Acceleration of convergence
8.5. Examples of load flow calculations
8.6. Voltage controlled buses
8.7. Representation of transformers
8.8. Tie line control
8.9. Comparison of methods
Problems
Bibliography
Chapter 9 Numerical solution of differential equations
9.1. Introduction
9.2. Numerical methods for solution of differential equations
9.3. Solution of higher-order differential equations
9.4. Examples of numerical solution of differential equations
9.5. Comparison of methods
Problems
Bibliography
Chapter 10 Transient stability studies
10.1. Introduction
10.2. Swing equation
10.3. Machine equations
10.4. Power system equations
10.5. Solution techniques
10.6. Example of transient stability calculations
10.7. Exciter and governor control systems
10.8. Distance relays
10.9. Description of transient stability program
Problems
Bibliography
Index
A
B
C
D
E
F
G
I
J
K
L
M
N
O
P
R
S
T
U
V