Mathematical Models of Electrical Network Systems Theory and Applications - An Introduction

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

Introduction.- Basic notions.- Algebraic model of network graph.- Algebraic model of network currents.- Algebraic model of network voltages.-  algebraic model of current-voltage vectors.- Formulations of Kirchhoff’s  laws using matrix T.- Current  voltage functional relations.- Comments to Part I.- Applications of b-dimensional formulation of  Kirchhoff’s  laws.- Network solution methods using algebraic network model.- Method of sensitivity analysis.- Method of arbitrary input data.- Logical optimization method of network system.-  Current based method of load flow solution and research workers.