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The Application of Homotopy Method In Solving Electrical Circuit Design Problem

Authors: Talib Hashim Hasan


This paper describes simple implementation of homotopy (also called continuation) algorithm for determining the proper resistance of the resistor to dissipate energy at a specified rate of an electric circuit. Homotopy algorithm can be considered as a developing of the classical methods in numerical computing such as Newton-Raphson and fixed point methods. In homoptopy methods, an embedding parameter is used to control the convergence. The method purposed in this work utilizes a special homotopy called Newton homotopy. Numerical example solved in MATLAB is given to show the effectiveness of the purposed method

Keywords: Methods, MATLAB, electrical circuit homotopy, Newton homotopy

Digital Object Identifier (DOI):

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