Abstract
For interpretation of changes or “kinematics” of circuit regime, some information about affine and projective geometry is provided by examples of simple circuits. It allows revealing the invariant properties of circuits; that is, such expressions, which turn out identical to all regime parameters. These invariant expressions can be assumed as the basis of well-founded definition of regimes in the relative form.
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsReferences
Alexander, C.K., Sadiku, M.N.O.: Fundamentals of Electric Circuits, 5th edn. McGraw–Hill, New York (2009)
Bhattacharyya, S.P., Keel, L.H., Mohsenizadeh, D.N.: Linear Systems: A Measurement Based Approach. Springer, India (2014)
Bryant, R.E., Tygar, J.D., Huang, L.P.: Geometric characterization of series- parallel variable resistor networks. Circ. Syst. I Fundam. Theory Appl. IEEE Trans. 41(11), 686–698 (1994)
Frank, J.A.: Schaum’s outline of theory and problems of projective geometry. McGraw–Hill, New York (1967)
Glagolev, N.A.: Proektivnaia geometria (Projective geometry). Nauka, Moskva (1963)
Irwin, J.D., Nelms, R.M.: Basic Engineering Circuit Analysis, 10th edn. Wiley, Hoboken (2011)
Kagan, V.F.: Osnovania geometrii, Chasti II (Geometry basics, Part II). Gostekhizdat, Moskva (1956)
Mazin, V.D.: Method for raising the precision of measuring instruments and transducers. Meas. Tech. 23(6), 479–480 (1980)
Mazin, V.D.: Error of measurement in the compound-ratio method. Meas. Tech. 26(8), 628–629 (1983)
Penin, A.: Projectively- affine properties of resistive two-ports with a variable load. Tehnicheskaia elektrodinamika 2, 38–42 (1991)
Penin, A.: Definition of deviation from the matching regime for two-port circuit. Electrichestvo 4, 32–40 (1994)
Penin, A.: Fractionally linear relations in the problems of analysis of resistive circuits with variable parameters. Electrichestvo 11, 32–44 (1999)
Penin, A.: Determination of regimes of the equivalent generator based on projective geometry: the generalized equivalent generator. World Acad. Sci. Eng. Technol. 2(10), 703–711 (2008). http://www.waset.org/publications/10252. Accessed 30 Nov 2014
Penin, A.: Projective geometry method in the theory of electric circuits with variable parameters of elements. Int. J. Electron. Commun. Electr. Eng. 3(2), 18–34 (2013). https://sites.google.com/site/ijeceejournal/volume-3-issue-2. Accessed 30 Nov 2014
Penin, A., Sidorenko, A.: Determination of deviation from the maximum power regime of a photovoltaic module. Moldavian J. Phys. Sci. 9(2), 191–198 (2010). http://sfm.asm.md/moldphys/2010/vol9/n2/index.html. Accessed 30 Nov 2014
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). Operating Regimes of an Active Two-Pole. Display of Projective Geometry. In: Analysis of Electrical Circuits with Variable Load Regime Parameters. Power Systems. Springer, Cham. https://doi.org/10.1007/978-3-319-16351-2_2
Download citation
DOI: https://doi.org/10.1007/978-3-319-16351-2_2
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-16350-5
Online ISBN: 978-3-319-16351-2
eBook Packages: EnergyEnergy (R0)