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-...
| Main Authors: | , , |
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| Format: | Proceeding Paper |
| Language: | English |
| Published: |
2010
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| Subjects: | |
| Online Access: | http://irep.iium.edu.my/1823/1/2_Talib.pdf |
| _version_ | 1796874830504525824 |
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| author | Hasan, Talib Hashim Azram, Mohammad Daoud, Jamal Ibrahim |
| author_facet | Hasan, Talib Hashim Azram, Mohammad Daoud, Jamal Ibrahim |
| author_sort | Hasan, Talib Hashim |
| collection | IIUM |
| description | 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 |
| first_indexed | 2024-03-05T22:30:04Z |
| format | Proceeding Paper |
| id | oai:generic.eprints.org:1823 |
| institution | International Islamic University Malaysia |
| language | English |
| last_indexed | 2024-03-05T22:30:04Z |
| publishDate | 2010 |
| record_format | dspace |
| spelling | oai:generic.eprints.org:18232011-11-21T07:53:26Z http://irep.iium.edu.my/1823/ Application of Taylor-Newton homotopy method for solving electrical engineering design problem Hasan, Talib Hashim Azram, Mohammad Daoud, Jamal Ibrahim QA Mathematics TA Engineering (General). Civil engineering (General) 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 2010 Proceeding Paper PeerReviewed application/pdf en http://irep.iium.edu.my/1823/1/2_Talib.pdf 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. http://www.informs.org/Attend-a-Conference/Conference-Calendar/3rd-Global-Conference-on-Power-Control-Optimization |
| spellingShingle | QA Mathematics TA Engineering (General). Civil engineering (General) Hasan, Talib Hashim Azram, Mohammad Daoud, Jamal Ibrahim Application of Taylor-Newton homotopy method for solving electrical engineering design problem |
| title | Application of Taylor-Newton homotopy method for solving electrical engineering design problem |
| title_full | Application of Taylor-Newton homotopy method for solving electrical engineering design problem |
| title_fullStr | Application of Taylor-Newton homotopy method for solving electrical engineering design problem |
| title_full_unstemmed | Application of Taylor-Newton homotopy method for solving electrical engineering design problem |
| title_short | Application of Taylor-Newton homotopy method for solving electrical engineering design problem |
| title_sort | application of taylor newton homotopy method for solving electrical engineering design problem |
| topic | QA Mathematics TA Engineering (General). Civil engineering (General) |
| url | http://irep.iium.edu.my/1823/1/2_Talib.pdf |
| work_keys_str_mv | AT hasantalibhashim applicationoftaylornewtonhomotopymethodforsolvingelectricalengineeringdesignproblem AT azrammohammad applicationoftaylornewtonhomotopymethodforsolvingelectricalengineeringdesignproblem AT daoudjamalibrahim applicationoftaylornewtonhomotopymethodforsolvingelectricalengineeringdesignproblem |