Abstract
The restriction of load power, two-valued regulation characteristic, and interference of several loads is observed in power supply systems with limited power of voltage source. In this chapter, the definition of regime in an invariant form through different parameters, of changes of transformation ratio and voltage load is grounded for these circuits with two loads. The approach for interpretation of changes or “kinematics” of load regime is presented by using the conformal and hyperbolic plane. To simplify the task and to reveal the basic moments of influence of limited source power, the static regulation characteristics and idealized models of voltage converters are considered. Geometrical interpretation of a simplified model of multichannel power supply system allows to base definition of operating regime parameters.
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References
Chae, S., Hyun, B., Agarwal, P., Kim, W., Cho, B.: Digital predictive feed-forward controller for a DC–DC converter in plasma display panel. IEEE Trans. Power Electron. 23(2), 627–634 (2008)
Chattopadhyay, S., Das, S.: A digital current-mode control technique for DC–DC converters. IEEE Trans. Power Electron. 21(6), 1718–1726 (2006)
Chen, J., Prodic, A., Erickson, R.W., Maksimovic, D.: Predictive digital current programmed control. IEEE Trans. Power Electron. 18(1), 411–419 (2003)
Conformal geometry. Encyclopedia Wikipedia. http://en.wikipedia.org/wiki/Conformal_geometry (2014). Accessed 30 Nov 2014
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)
Hyperbolic geometry. Encyclopedia Wikipedia. http://en.wikipedia.org/wiki/Hyperbolic_geometry (2014). Accessed 30 Nov 2014
Lui, X., Wang, P., Loh, P.: A Hybrid AC/ DC micro grid and its coordination control. IEEE Trans. Smart Grid 2(2), 278–286 (2011)
Penin, A.: Geometrical properties of regulated voltage converters at limited capacity voltage sources. Tehnicheskaia elektrodinamika 3, 61–64 (1991)
Penin, A.: Fractionally linear relations in the problems of analysis of resistive circuits with variable parameters. Electrichestvo 11, 32–44 (1999)
Penin, A.: Analysis of regimes of voltage regulators with limited capacity voltage sources. Geometrical approach. WSEAS Trans. Circuits Syst. 12(1), 12 (2013). http://www.wseas.org/wseas/cms.action?id=6933. 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.: Non-Euclidean geometry and regulated characteristics of limited capacity power supply. J. Electr. Eng. 2(4), 175–186 (2014)
Stereographic projection. Encyclopedia Wikipedia. http://en.wikipedia.org/wiki/Stereographic_projection (2014). Accessed 30 Nov 2014
Yehia, D.M., Yokomizu, Y., Iioka, D., Matsumura, T.: Delivaraible-power dependence on distribution-line resistance and number of loads in low-voltage DC distribution system. IEEJ Trans. Electr. Electron. Eng. 7(1), 23–30 (2012)
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Penin, A. (2016). Regulation of Load Voltages. In: Analysis of Electrical Circuits with Variable Load Regime Parameters. Power Systems. Springer, Cham. https://doi.org/10.1007/978-3-319-28451-4_10
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DOI: https://doi.org/10.1007/978-3-319-28451-4_10
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