Abstract
The generalized equivalent circuits , which develop the known theorems, are formulated. It appears that the load straight line at various values of a changeable element (resistor) of an active two-pole passes into a bunch of these lines. The bunch centre coordinates do not depend on this changeable element. It is proposed to use as the parameters of the generalized equivalent generator such a load current and voltage, which proved the current across this element equal to zero. The application of projective coordinates instead of resistance values allows obtaining suitable formulas of the recalculation of the load current, to define the scales for the load and variable element. The influence of the changeable element on properties of the generalized equivalent generator can be used in practice, for example, for a parametric stabilization of load current.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Alexander, C.K., Sadiku, M.N.O.: Fundamentals of Electric Circuits, 5th edn. McGraw-Hill, New York (2009)
Chatzarakis, G.E.: A new method for finding the Thévenin and Norton equivalent circuits. Engineering 2(05), 328–336 (2010)
Gluskin, E., Patlakh, A.: An ideal independent source as an equivalent 1-port. arXiv preprint arXiv:1108.4592 (2011)
Hashemian, R.: Hybrid equivalent circuit, and alternative to Thévenin and Norton equivalents, its properties and application. Paper presented at the Midwest symposium on circuits and systems, MWSCAS (2009)
Hosoya, M.: Derivation of the equivalent circuit of a multi-terminal network given by generalization of Helmholtz-Thevenin’s theorem. Bull. Coll. Sci. Univ. Ryukyus. 84, 1–3 (2007)
Irwin, J.D., Nelms, R.M.: Basic Engineering Circuit Analysis, 10th edn. Wiley, Hoboken (2011)
Johnson, D.: Origins of the equivalent circuit concept: the voltage-source equivalent. Proc. IEEE 91(4), 636–640 (2003)
Karris, S.T.: Circuit Analysis I With MATLAB Computing and Simulink/SimPower Systems Modeling. Orchard Publications, Fremont (2004)
Penin, A.: Utilization of the projective coordinates in the linear electrical network with the variable regimes. Buletinul Academiei de Stiinte a Republicii Moldova, Fizica si tehnica. 2, 64–71 (1992)
Penin, A.: Characteristics of modified equivalent generator of active two-terminal network with variable resistor. Electrichestvo 4, 55–59 (1995)
Penin, A.: Linear-fractional relations in the problems of analysis of resistive circuits with variable parameters. Electrichestvo 11, 32–44 (1999)
Penin, A.: Generalized Thévenin/Helmholtz and Norton/Mayer theorems of electric circuits with variable resistances. WSEAS Trans. Circ. Syst. 13, 104–116 (2014). http://www.wseas.org/cms.action?id=7648. Accessed 30 Nov 2014
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)
Vandewalle, J.: Shortcuts in circuits and systems education with a case study of the Thévenin/Helmholtz and Norton/Mayer equivalents. Paper presented at international symposium on the circuits and systems (ISCAS), IEEE (2012)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
Copyright information
© 2015 Springer International Publishing Switzerland
About this chapter
Cite this chapter
Penin, A. (2015). Generalized Equivalent Circuit of an Active Two-Pole with a Variable Element. In: Analysis of Electrical Circuits with Variable Load Regime Parameters. Power Systems. Springer, Cham. https://doi.org/10.1007/978-3-319-16351-2_3
Download citation
DOI: https://doi.org/10.1007/978-3-319-16351-2_3
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-16350-5
Online ISBN: 978-3-319-16351-2
eBook Packages: EnergyEnergy (R0)