Lagrangian formulation for circuit theory and analysis
Date
2017-11-15
Journal Title
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Publisher
Department of Electrical and Electronic Engineering, Islamic University of Technology
Abstract
In this thesis, we borrowed the concept of Lagrangian mechanics which is an alternative
formulation of classical mechanics to make a new circuit analysis technique. The formula we
used here already existed but there were no specific guidelines for the analysis of a given
circuit. The three examples we used are two DC types and one AC type. We here have made a
step by step analysis technique for analyzing a given circuit. We discussed this formulation in
detail. At first we discussed Calculus of Variation and Lagrangian Mechanics with the
reference given. Following the discussion, we modified the Euler-Lagrange equation in detail
to account for the circuit according to the reference given and then discussed the step by step
procedure for analyzing a circuit
Description
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Citation
[1] “Hamilton’s Principle and Electric Circuit Theory”, D.Mayer AEEE-2006-5-3-185-mayer.pdf [2] Physics-Volume 2, Resnick, Halliday, Krane. [3] Mathematical Methods for Physical Science, Mary L. Boas [4] Classical Mechanics, John R Taylor [5] https://en.wikipedia.org/wiki/Calculus_of_variations https://en.wikipedia.org/wiki/Functional_(mathematics) [6] Classical Mechanics, Goldstein. [7] Fundamentals of Electric Circuits, Alexander-Sadiku (Fourth Edition)