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      Speed-up hyperspheres homotopic path tracking algorithm for PWL circuits simulations

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          Abstract

          In the present work, we introduce an improved version of the hyperspheres path tracking method adapted for piecewise linear (PWL) circuits. This enhanced version takes advantage of the PWL characteristics from the homotopic curve, achieving faster path tracking and improving the performance of the homotopy continuation method (HCM). Faster computing time allows the study of complex circuits with higher complexity; the proposed method also decrease, significantly, the probability of having a diverging problem when using the Newton–Raphson method because it is applied just twice per linear region on the homotopic path. Equilibrium equations of the studied circuits are obtained applying the modified nodal analysis; this method allows to propose an algorithm for nonlinear circuit analysis. Besides, a starting point criteria is proposed to obtain better performance of the HCM and a technique for avoiding the reversion phenomenon is also proposed. To prove the efficiency of the path tracking method, several cases study with bipolar (BJT) and CMOS transistors are provided. Simulation results show that the proposed approach can be up to twelve times faster than the original path tracking method and also helps to avoid several reversion cases that appears when original hyperspheres path tracking scheme was employed.

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          Most cited references 42

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          The modified nodal approach to network analysis

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            Modeling and simulation of insulated-gate field-effect transistor switching circuits

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              An Algorithm for Solving Nonlinear Resistor Networks

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                Author and article information

                Contributors
                alermzp@gmail.com
                hvazquez@uv.mx
                vicjimenez@uv.mx
                h.msedighi@scu.ac.ir
                mm.rashidi@sjtu.edu.cn
                ufilobello@uv.mx
                rocastaneda@uv.mx
                jeshuerta@uv.mx
                jarocho@inaoep.mx
                jlaguna@uv.mx
                catrapato@hotmail.com
                Journal
                Springerplus
                Springerplus
                SpringerPlus
                Springer International Publishing (Cham )
                2193-1801
                24 June 2016
                24 June 2016
                2016
                : 5
                : 1
                Affiliations
                [ ]Facultad de Instrumentación Electrónica, Universidad Veracruzana, Cto. Gonzalo Aguirre Beltrán S/N, 91000 Xalapa, Veracruz Mexico
                [ ]Department of Mechanical Engneering, Shahid Chamran University, Ahvaz, Iran
                [ ]Shanghai Key Lab of Vehicle Aerodynamics and Vehicle Thermal Management Systems, Tongji University, 4800 Cao An Rd., Jiading, Shanghai, 201804 People’s Republic of China
                [ ]ENN-Tongji Clean Energy Institute of Advanced Studies, Shanghai, People’s Republic of China
                [ ]Facultad de Electrónica y Comunicaciones, Universidad Veracruzana, Venustiano Carranza S/N, 93390 Poza Rica, Veracruz Mexico
                [ ]Facultad de Ingeniería Mecánica Eléctrica, Universidad Veracruzana, Venustiano Carranza S/N, 93390 Poza Rica, Veracruz Mexico
                [ ]Instituto Nacional de Astrofísica, Óptica y Electrónica, Luis Enrique Erro #1, 72000 Sta. María Tonantzintla, Puebla Mexico
                Article
                2534
                10.1186/s40064-016-2534-5
                4920796
                27386338
                © The Author(s) 2016

                Open AccessThis article is distributed under the terms of the Creative Commons Attribution 4.0 International License ( http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.

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                Research
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                © The Author(s) 2016

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