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

Hassan, Talib Hashim and Azram, Mohammad and Daoud, Jamal Ibrahim (2009) Application of Taylor-Newton homotopy method for solving electrical engineering design problem. In: 2nd International Conference on Power Control and Optimization 2009, 1-3 June, 2009, Bali Island, Indonesia.

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Abstract

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,a n embeddingp arameteris usedt o control the convergenceT. he methodp urposedi n this work utilizes a special homotopy called Newton homotopy. Numerical example solved in MATLAB is given to showt he effectiveness of the purposed method.

Item Type:	Conference or Workshop Item (UNSPECIFIED)
Additional Information:	5604/6171 ISBN: 978-0-7354-0696-4
Uncontrolled Keywords:	Newton homotopy, Taylor-Newton homotopy, electrical circuit, MATLAB
Subjects:	Q Science > QA Mathematics
Kulliyyahs/Centres/Divisions/Institutes (Can select more than one option. Press CONTROL button):	Kulliyyah of Engineering > Department of Science
Depositing User:	Prof Mohammad Azram
Date Deposited:	18 Nov 2011 17:04
Last Modified:	01 Aug 2022 14:52
URI:	http://irep.iium.edu.my/id/eprint/6171

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