Mathematical Models of Electrical Network Systems Theory and Applications - An Introduction
This work 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.
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | E-Book |
| Sprache: | Englisch |
| Veröffentlicht: |
Cham
Springer Nature
2017
Springer International Publishing AG Springer International Publishing Springer |
| Ausgabe: | 1 |
| Schriftenreihe: | Lecture Notes in Electrical Engineering |
| Schlagworte: | |
| ISBN: | 9783319521787, 3319521780, 3319521764, 9783319521763 |
| ISSN: | 1876-1100, 1876-1119 |
| Online-Zugang: | Volltext |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
Inhaltsangabe:
- 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
- Intro -- Preface -- Contents -- Mathematical Model of Network System -- 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