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Universal Approach of the Modified Nodal Analysis for Nonlinear Lumped Circuits in Transient Behavior

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Electrical Engineering and Applied Computing

Part of the book series: Lecture Notes in Electrical Engineering ((LNEE,volume 90))

Abstract

Recent approaches for time-domain analysis of lumped circuits deal with differential-algebraic-equation (DAE) systems instead of SPICE-type resistive models. Although simple and powerful, DAE models based on modified nodal approaches require some restrictions related to redundant variables or circuit topology. In this context, the paper proposes an improved version that allows treating nonlinear analog circuits of any topology, including floating capacitors, magnetically coupled inductors, excess elements and controlled sources. The procedure has been implemented in a dedicated program that builds the symbolic DAE model and solves it numerically.

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References

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Acknowledgments

This work was supported in part by the Romanian Ministry of Education, Research and Innovation under Grant PCE 539/2008.

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Authors and Affiliations

  1. Faculty of Electrical Engineering, University of Craiova, 107 Decebal Blv, 200440, Craiova, Romania

    Lucian Mandache & Ioana-Gabriela Sirbu

  2. Faculty of Electrical Engineering, University of Craiova, 13 A.I. Cuza Str, 200585, Craiova, Romania

    Dumitru Topan

Authors
  1. Lucian Mandache
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  2. Dumitru Topan
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  3. Ioana-Gabriela Sirbu
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Corresponding author

Correspondence to Lucian Mandache .

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Editors and Affiliations

  1. The University of Hong Kong, Hung To Road, Hong Kong, 3739, China, People's Republic

    Sio-Iong Ao

  2. School of Engineering, Applied Mathematics and Computing, Cranfield University, Cranfield, MK43 0AL, Montserrat

    Len Gelman

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Mandache, L., Topan, D., Sirbu, IG. (2011). Universal Approach of the Modified Nodal Analysis for Nonlinear Lumped Circuits in Transient Behavior. In: Ao, SI., Gelman, L. (eds) Electrical Engineering and Applied Computing. Lecture Notes in Electrical Engineering, vol 90. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-1192-1_7

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  • DOI: https://doi.org/10.1007/978-94-007-1192-1_7

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  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-007-1191-4

  • Online ISBN: 978-94-007-1192-1

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