Modified Hyperspheres Algorithm to Trace Homotopy Curves of Nonlinear Circuits Composed by Piecewise Linear Modelled Devices
Joint Authors
Sarmiento-Reyes, Arturo
Benhammouda, B.
Jimenez-Fernández, Víctor-M.
Ramirez-Pinero, A.
Marin-Hernandez, A.
Huerta-Chua, J.
Filobello-Niño, Uriel
Vazquez-Leal, Hector
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-08-11
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Medicine
Information Technology and Computer Science
Abstract EN
We present a homotopy continuation method (HCM) for finding multiple operating points of nonlinear circuits composed of devices modelled by using piecewise linear (PWL) representations.
We propose an adaptation of the modified spheres path tracking algorithm to trace the homotopy trajectories of PWL circuits.
In order to assess the benefits of this proposal, four nonlinear circuits composed of piecewise linear modelled devices are analysed to determine their multiple operating points.
The results show that HCM can find multiple solutions within a single homotopy trajectory.
Furthermore, we take advantage of the fact that homotopy trajectories are PWL curves meant to replace the multidimensional interpolation and fine tuning stages of the path tracking algorithm with a simple and highly accurate procedure based on the parametric straight line equation.
American Psychological Association (APA)
Vazquez-Leal, Hector& Jimenez-Fernández, Víctor-M.& Benhammouda, B.& Filobello-Niño, Uriel& Sarmiento-Reyes, Arturo& Ramirez-Pinero, A.…[et al.]. 2014. Modified Hyperspheres Algorithm to Trace Homotopy Curves of Nonlinear Circuits Composed by Piecewise Linear Modelled Devices. The Scientific World Journal،Vol. 2014, no. 2014, pp.1-11.
https://search.emarefa.net/detail/BIM-1051675
Modern Language Association (MLA)
Vazquez-Leal, Hector…[et al.]. Modified Hyperspheres Algorithm to Trace Homotopy Curves of Nonlinear Circuits Composed by Piecewise Linear Modelled Devices. The Scientific World Journal No. 2014 (2014), pp.1-11.
https://search.emarefa.net/detail/BIM-1051675
American Medical Association (AMA)
Vazquez-Leal, Hector& Jimenez-Fernández, Víctor-M.& Benhammouda, B.& Filobello-Niño, Uriel& Sarmiento-Reyes, Arturo& Ramirez-Pinero, A.…[et al.]. Modified Hyperspheres Algorithm to Trace Homotopy Curves of Nonlinear Circuits Composed by Piecewise Linear Modelled Devices. The Scientific World Journal. 2014. Vol. 2014, no. 2014, pp.1-11.
https://search.emarefa.net/detail/BIM-1051675
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1051675