(EBook PDF) Mathematical Models of Electrical Network Systems Theory and Applications An Introduction 1st edition by Andrzej KÅ‚os 3319521780 9783319521787 full chapters

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ISBN-10 ‏ : ‎3319521780 

ISBN-13 ‏ : ‎ 9783319521787 

Author :  Andrzej Kłos 

This book is for all those who are looking for a non-conventional mathematical model of electrical network systems. It presents a modern approach using linear algebra and derives various commonly unknown quantities and interrelations of network analysis. It also explores some applications of algebraic network model of and solves some examples of previously unsolved network problems in planning and operation of network systems. Complex mathematical aspects are illustrated and described in a way that is understandable for non-mathematicians. Discussing interesting concepts and practically useful methods of network analysis, it is a valuable resource for lecturers, students, engineers

Mathematical Models of Electrical Network Systems Theory and Applications – An Introduction 1st Table of contents:

1 Introduction
1.1 Network System
1.2 Modeling Network System
1.3 Solving Network System
1.4 Network Laws
2 Basic Notions
2.1 Network Graph Notions
2.2 Electrical Network Notions
3 Algebraic Model of Network Graph
3.1 Cut-Set and Loop-Set Vectors
3.2 Topology of Network
3.3 Topological Model of Loop-Sets
3.4 Topological Model of Cut-Sets
3.5 Orthogonality of Cut-Sets and Loop-Sets
3.6 Linear Space Model of Network Topology
3.7 Topological Transformation
3.8 Topological Matrix T
4 Algebraic Model of Network Currents
4.1 Matrix Model of Network Currents
4.2 Linear Space Model of Network Currents
4.3 Topological Transformation of Current Space
4.4 Current Relations Using Topological Matrix T
5 Algebraic Model of Network Voltages
5.1 Matrix Model of Network Voltages
5.2 Linear Space Model of Network Voltages
5.3 Topological Transformation of Voltage Space
5.4 Voltage Relations Using Topological Matrix T
6 Algebraic Model of Current–Voltage Vectors
6.1 Orthogonality of Current and Voltage Vectors
6.2 Current–Voltage Vector
6.3 Linear Space Model of Current–Voltage Vectors
6.4 Current–Voltage Vectors’ Relations Using Matrix T
6.5 Comment
7 Kirchhoff’s Laws Using Matrix T
7.1 Basic b-Dimensional Formulation
7.2 Pseudo-Unit Formulation
7.3 Current–Voltage Formulation
8 Current–Voltage Functional Relations
8.1 Branch Parameters
8.2 Ohm’s Law of Network System—Algebraic Model
8.3 Linear Space Model of Current–Voltage State Vectors in Network System
8.4 Formulation of Ohm’s Law Using Matrix T
8.5 Matrices of System Admittance and System Impedance
9 General Comments to Part I
9.1 Part II Application Examples
Application Examples
10 Applications of b-Dimensional Formulation of Kirchhoff’s Laws
10.1 Basic b-Dimensional Formulation
10.2 Pseudo-Unit Formulation
11 Network Solution Method Using Algebraic Network Model
11.1 Derivation of Method Using Matrix T
11.2 Classical Network Solution Methods
12 Method of Current and Voltage Sensitivity Analysis
12.1 Derivation of Method
12.2 Numerical Example
13 Method of Arbitrary Input Data
13.1 Description of Arbitrary Input Data
13.2 Derivation of Solution Equations
13.3 Solvability Analysis
13.4 Numerical Example
14 Logical Optimization Method of Network System
14.1 Example of Network System Matrices
14.2 Logical Analysis of Network System Equations
14.3 Application Possibilities
15 Current-Based Method of Load Flow Solution
15.1 Current State-Oriented Topology of Network
15.2 Current State Vector and Current Flow Method
15.3 Current-Based Load Flow Method
15.4 Verification of Method
15.5 Conclusions

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