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Part of the book series: Power Systems ((POWSYS))

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Abstract

The correlations between various regime parameters for different parts or sections of a circuit are considered. The transfer from one section to another is interpreted as an affine (for voltage and current) transformation and as a projective (for conductance) transformation. As it was shown in Chap. 2, such transformations possess the invariants in the form of an affine ratio of three points and a cross ratio of four points accordingly. Therefore, these invariants express the above correlations.

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References

  1. Alexander, C.K., Sadiku, M.N.O.: Fundamentals of Electric Circuits, 5th edn. McGraw-Hill, New York (2009)

    Google Scholar 

  2. Irwin, J.D., Nelms, R.M.: Basic Engineering Circuit Analysis, 10th edn. Wiley, Hoboken (2011)

    Google Scholar 

  3. Kagan, V.F.: Osnovania Geometrii, Chasti II. (Geometry Basics. Part II). Gostekhizdat, Moskva (1956)

    Google Scholar 

  4. Kittel, C.K., Knight, W.D., Ruderman, M.A.: Mechanics. Berkeley Physics Course, vol. 1. McGraw–Hill, New York (1962)

    Google Scholar 

  5. Penin, A.: Projectively–affine properties of resistive two–ports with a variable load. Tehnicheskaia elektrodinamika. 2, 37–41 (1991)

    Google Scholar 

  6. Penin, A.: Definition of deviation from the matching regime for two-port circuit. Electrichestvo 4, 32–40 (1994)

    Google Scholar 

  7. Penin, A.: Fractionally linear relations in the problems of analysis of resistive circuits with variable parameters. Electrichestvo 11, 32–44 (1999)

    Google Scholar 

  8. Penin, A.: The invariant properties of two-port circuits. World Acad. Sci., Eng. Technol. 3(4), 893–899 (2009). http://www.waset.org/publications/5517. Accessed 30 Nov 2014

  9. Penin, A., Sidorenko, A.: Method for signal transmission through the direct current line. MD Patent 536, 12 Dec 2011

    Google Scholar 

  10. Penin, A., Sidorenko, A.: Transmission of measuring signals and power supply of remote sensors. In: Bonca, J., Kruchinin, S. (eds.) Nanotechnology in the Security Systems. NATO Science for Peace and Security Series C: Environmental Security, pp. 267–281. Springer, Dordrecht (2014)

    Google Scholar 

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Penin, A. (2015). Two-Port Circuits. In: Analysis of Electrical Circuits with Variable Load Regime Parameters. Power Systems. Springer, Cham. https://doi.org/10.1007/978-3-319-16351-2_4

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  • DOI: https://doi.org/10.1007/978-3-319-16351-2_4

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-16350-5

  • Online ISBN: 978-3-319-16351-2

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