Application of Taylor-Newton homotopy method for solving electrical engineering design problem

We describe simple implementations of homotopy (also called continuation) algorithm for determining the proper 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-...

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Bibliographic Details
Main Authors: Hasan, Talib Hashim, Azram, Mohammad, Daoud, Jamal Ibrahim
Format: Conference or Workshop Item
Language:English
Published: 2010
Subjects:
Online Access:http://irep.iium.edu.my/1823/
http://irep.iium.edu.my/1823/
http://irep.iium.edu.my/1823/1/2_Talib.pdf
Description
Summary:We describe simple implementations of homotopy (also called continuation) algorithm for determining the proper 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