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

Hasan, Talib Hashim and Azram, Mohammad and Daoud, Jamal Ibrahim (2010) Application of Taylor-Newton homotopy method for solving electrical engineering design problem. In: Global Conference on Power Control and Optimization, 2-4 February 2010, Gold Coast, Australia.

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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, 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

Item Type:	Conference or Workshop Item (Full Paper)
Additional Information:	5604/1823
Uncontrolled Keywords:	Newton homotopy, Taylor-Newton, homotopy method, electrical circuit, MATLAB
Subjects:	Q Science > QA Mathematics T Technology > TA Engineering (General). Civil engineering (General)
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:	09 Sep 2011 16:27
Last Modified:	21 Nov 2011 15:53
URI:	http://irep.iium.edu.my/id/eprint/1823

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