Skip to main content
SpringerLink
Log in
SpringerLink
Log in

Optimal Control Models of Renewable Energy Production Under Fluctuating Supply

  • Conference paper
  • First Online:
Large-Scale Scientific Computing (LSSC 2013)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 8353))

Included in the following conference series:

  • 1296 Accesses

Abstract

The probably biggest challenge for climate change mitigation is to find a secure low-carbon energy supply, which especially is difficult as the supply of renewable sources underlies strong volatility and storage possibilities are limited. We therefore consider the energy sector of a small country that optimizes a portfolio consisting of fossil and/or renewable energy to cover a given energy demand, considering seasonal fluctuations in renewable energy generation. By solving these non-autonomous optimal control models with infinite horizon, we investigate the impact of fossil energy prices on the annual optimal portfolio composition shown by the obtained periodic solutions.

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

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 39.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight 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

Notes

  1. 1.

    Note that we only consider annual fluctuations and do not include daily fluctuations from day to night nor changes due to weather conditions. To get reasonable parameter values we used Austrian data for the estimation (cf. [9]).

  2. 2.

    If the initial capital stock along the fossil solution arc is zero, the whole energy demand is covered with fossil energy. If, however, the initial capital stock is positive, also renewable energy contributes to the coverage of the energy demand, nevertheless at a decreasing rate as no investments are done and depreciation reduces the stock.

References

  1. Chakravorty, U., Magné, B., Moreaux, M.: A hotelling model with a ceiling on the stock of pollution. IDEI Working Papers 368, Institut d’ conomie Industrielle (IDEI), Toulouse (2005). http://ideas.repec.org/p/ide/wpaper/1165.html

  2. Chakravorty, U., Magné, B., Moreaux, M.: Resource use under climate stabilization: can nuclear power provide clean energy? J. Public Econ. Theor. 14(2), 349–389 (2012). http://ideas.repec.org/a/bla/jpbect/v14y2012i2p349-389.html

  3. Coulomb, R., Henriet, F.: Carbon price and optimal extraction of a polluting fossil fuel with restricted carbon capture. Working papers 322, Banque de France (2011). http://ideas.repec.org/p/bfr/banfra/322.html

  4. Grass, D., Caulkins, J., Feichtinger, G., Tragler, G., Behrens, D.: Optimal Control of Nonlinear Processes: With Applications in Drugs, Corruption, and Terror. Springer, Heidelberg (2008). http://books.google.com/books?id=M7qGPmzrVAkC

  5. Ju, N., Small, D., Wiggins, S.: Existence and computation of hyperbolic trajectories of aperiodically time dependent vector fields and their approximations. Int. J. Bifurcat. Chaos 13(6), 1449–1457 (2003). http://dblp.uni-trier.de/db/journals/ijbc/ijbc13.html#JuSW03d

  6. Madrid, J.A.J., Mancho, A.M.: Distinguished trajectories in time dependent vector fields. Chaos 19(1), 013111-1–013111-18 (2009)

    Article  Google Scholar 

  7. Mancho, A.M., Small, D., Wiggins, S.: Computation of hyperbolic trajectories and their stable and unstable manifolds for oceanographic flows represented as data sets. Nonlinear Process. Geophys. 11(1), 17–33 (2004). http://www.nonlin-processes-geophys.net/11/17/2004/

  8. Messner, S.: Endogenized technological learning in an energy systems model. J. Evol. Econ. 7(3), 291–313 (1997). http://ideas.repec.org/a/spr/joevec/v7y1997i3p291-313.html

  9. ZAMG: Klimadaten. Downloaded on 16th of February 2012 (2012). http://www.zamg.ac.at/fix/klima/oe71-00/klima2000/klimadaten_oesterreich_1971_frame1.htm

Download references

Author information

Authors and Affiliations

  1. Institute for Mathematical Methods in Economics, Vienna University of Technology, 1040, Wien, Austria

    Elke Moser, Dieter Grass, Gernot Tragler & Alexia Prskawetz

  2. Vienna Institute of Demography (VID), Austrian Academy of Sciences (OeAW), 1040, Wien, Austria

    Alexia Prskawetz

Authors
  1. Elke Moser
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Dieter Grass
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Gernot Tragler
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. Alexia Prskawetz
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Gernot Tragler .

Editor information

Editors and Affiliations

  1. Inst. of Info. & Comm. Technologies, Bulgarian Academy of Sciences, Sofia, Bulgaria

    Ivan Lirkov

  2. Bulgarian Academy of Sciences, Sofia, Bulgaria

    Svetozar Margenov

  3. Dept. of Informatics and Mathematical Modell, Technical University of Denmark, Kongens Lyngby, Denmark

    Jerzy Waśniewski

Rights and permissions

Reprints and permissions

Copyright information

© 2014 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Moser, E., Grass, D., Tragler, G., Prskawetz, A. (2014). Optimal Control Models of Renewable Energy Production Under Fluctuating Supply. In: Lirkov, I., Margenov, S., Waśniewski, J. (eds) Large-Scale Scientific Computing. LSSC 2013. Lecture Notes in Computer Science(), vol 8353. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-43880-0_14

Download citation

  • DOI: https://doi.org/10.1007/978-3-662-43880-0_14

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-662-43879-4

  • Online ISBN: 978-3-662-43880-0

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics

Search

Navigation