Advertisement

Optimal Control Models of Renewable Energy Production Under Fluctuating Supply

  • Elke Moser
  • Dieter Grass
  • Gernot TraglerEmail author
  • Alexia Prskawetz
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 8353)

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.

Keywords

Optimal control Nonlinear dynamical systems Resources and environment Renewable energy 

References

  1. 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. 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. 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. 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. 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. 6.
    Madrid, J.A.J., Mancho, A.M.: Distinguished trajectories in time dependent vector fields. Chaos 19(1), 013111-1–013111-18 (2009)CrossRefGoogle Scholar
  7. 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. 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. 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

Copyright information

© Springer-Verlag Berlin Heidelberg 2014

Authors and Affiliations

  • Elke Moser
    • 1
  • Dieter Grass
    • 1
  • Gernot Tragler
    • 1
    Email author
  • Alexia Prskawetz
    • 1
    • 2
  1. 1.Institute for Mathematical Methods in EconomicsVienna University of TechnologyWienAustria
  2. 2.Vienna Institute of Demography (VID)Austrian Academy of Sciences (OeAW)WienAustria

Personalised recommendations