Skip to main content

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

  • 329 Accesses

Abstract

The restriction of load power , two-valued regulation characteristic , and interference of several loads are 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 multi-channel power supply system allows to base definition of operating regime parameters.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

eBook
USD 16.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 109.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  1. 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)

    Article  Google Scholar 

  2. Chattopadhyay, S., Das, S.: A Digital current-mode control technique for DC–DC converters. IEEE Trans. Power Electron. 21(6), 1718–1726 (2006)

    Article  Google Scholar 

  3. Chen, J., Prodic, A., Erickson, R.W., Maksimovic, D.: Predictive digital current programmed control. IEEE Trans. Power Electron. 18(1), 411–419 (2003)

    Article  Google Scholar 

  4. Conformal geometry. Encyclopedia Wikipedia. http://en.wikipedia.org/wiki/Conformal_geometry. Accessed 30 July 2019

  5. Frank, J.: Schaum’s Outline of Theory and Problems of Projective Geometry. McGraw-Hill, New York (1967)

    Google Scholar 

  6. Glagolev, N.A.: Proektivnaia geometria (Projective geometry). Nauka, Moskva (1963)

    Google Scholar 

  7. Hyperbolic geometry. Encyclopedia Wikipedia. http://en.wikipedia.org/wiki/Hyperbolic_geometry. Accessed 30 July 2019

  8. 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)

    Article  Google Scholar 

  9. Penin, A.: Geometrical properties of regulated voltage converters at limited capacity voltage sources. Tehnicheskaia elektrodinamika 3, 61–64 (1991)

    Google Scholar 

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

    Google Scholar 

  11. Penin, A.: Analysis of regimes of voltage regulators with limited capacity voltage sources. Geometrical approach. WSEAS Trans. Circuits Syst. 12(1), 12 (2013)

    Google Scholar 

  12. 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)

    Google Scholar 

  13. Penin, A.: Non-Euclidean geometry and regulated characteristics of limited capacity power supply. J. Electr. Eng. 2(4), 175–186 (2014)

    Google Scholar 

  14. Stereographic projection. Encyclopedia Wikipedia. http://en.wikipedia.org/wiki/Stereographic_projection. Accessed 30 July 2019

  15. 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)

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to A. Penin .

Rights and permissions

Reprints and permissions

Copyright information

© 2020 Springer Nature Switzerland AG

About this chapter

Check for updates. Verify currency and authenticity via CrossMark

Cite this chapter

Penin, A. (2020). Regulation of Load Voltages. In: Analysis of Electrical Circuits with Variable Load Regime Parameters. Power Systems. Springer, Cham. https://doi.org/10.1007/978-3-030-35366-7_10

Download citation

  • DOI: https://doi.org/10.1007/978-3-030-35366-7_10

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-35365-0

  • Online ISBN: 978-3-030-35366-7

  • eBook Packages: EnergyEnergy (R0)

Publish with us

Policies and ethics