DC analysis of electrical circuits by the Newton - Raphson method

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Abstract

By the Newton - Raphson DC circuit analysis method as an example, the article shows the possibility of using well-known algorithms for the analysis of electrical circuits, as an alternative to SPICE simulating, and assessed their accuracy in comparison with modern design tools.

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About the authors

A. Strogonov

Воронежский государственный технический университет

Author for correspondence.
Email: andreistrogonov@mail.ru

д. т. н.; профессор кафедры полупроводниковой электроники и наноэлектроники

Russian Federation

References

  1. Влах И., Сингхал К. Машинные методы анализа и проектирования электронных схем / Пер. с англ. М.: Радио и связь, 1988. 560 с.
  2. Чуа Л. О., Лин Пен-Мин. Машинный анализ электронных схем. Алгоритмы и вычислительные методы / Пер. с англ. М.: Энергия, 1980. 640 с.
  3. Деннис Дж., Шнабель Р. Численные методы безусловной оптимизации и решения нелинейных уравнений / Пер. с англ. М.: Мир, 1988. 440 с.
  4. Кучумов А. А., Кучумов А. И. Электроника и схемотехника. М.: Гелиос АРВ, 2017. 368 с.
  5. Петров М. Н., Гудков Г. В. Моделирование компонентов и элементов интегральных схем: Уч. пос. СПб: Издательство «Лань», 2011. 464 с.
  6. https://www.allaboutcircuits.com/textbook/semiconductors/chpt-3/spice-models/#.

Supplementary files

Supplementary Files
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1. JATS XML
2. Fig. 1. Nestop procedure

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3. Fig. 2. Linear circuit consisting of a current source and three resistors

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4. Fig. 3. Analysis of a linear circuit consisting of a current source and three resistors in OrCad

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5. Fig. 4. FVEC procedure for a linear circuit consisting of a current source and three resistors

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6. Fig. 5. Nonlinear circuit consisting of a current source, resistors and a diode

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7. Fig. 6. FVEC procedure for a nonlinear circuit consisting of a current source, resistors and a diode

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8. Fig. 7. Analysis of a nonlinear circuit consisting of a current source, two resistors and one diode in OrCad

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9. Fig. 8. Nonlinear circuit consisting of a current source, a resistor and two diodes

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10. Fig. 9. FVEC procedure for a nonlinear circuit consisting of a current source, a resistor and two diodes

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11. Fig. 10. Analysis of a nonlinear circuit consisting of a current source, a resistor and two diodes in OrCad

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12. Fig. 11. Analysis of a nonlinear circuit consisting of a current source, a resistor and two diodes in the LTspice XVII(x64) simulator

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13. Fig. 12. Circuit analysis in Matlab/Simulink (Simscape extension package)

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14. Fig. 13.1. Program code for analyzing the DC circuit for example 3

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15. Fig. 13.2. Program code for analyzing the DC circuit for example 3

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16. Fig. 13.3. Program code for analyzing the DC circuit for example 3

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17. Fig. 14. Fragment of the program report file for example 3 (first four iterations)

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Copyright (c) 2023 Strogonov A.

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