The Gauss Elimination from the Circuit Theory Point of View: Triangular Mesh Equivalent

A method utilized to solve large electric network is the mesh analysis. After obtaining the matrix equation it can be solved by using Gauss elimination (GE). This paper analyzes the GE from a circuit theory point of view. It results that GE represents a modification of the assigned circuit. These mo...

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Bibliographic Details
Main Authors: Vacca, F., Vergura, S.
Format: Conference Proceeding
Language:English
Subjects:
Circuit analysis computing
Circuit theory
Equations
Gauss Elimination
Gaussian processes
Kirchhoff's Law
Resistors
RLC circuits
Switches
Triangular Mesh Equivalent
Vectors
Voltage
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Summary:A method utilized to solve large electric network is the mesh analysis. After obtaining the matrix equation it can be solved by using Gauss elimination (GE). This paper analyzes the GE from a circuit theory point of view. It results that GE represents a modification of the assigned circuit. These modifications can be considered as successive removals of the meshes. The whole procedure can be systematically interpreted; in this way, after a circuit is assigned, it is possible to switch to a modified circuit, considering circuital transformations in role of mathematical ones
DOI:10.1109/EURCON.2005.1630046