Skip to main content

Optimal Pricing of Production Changes in Cascaded River Systems with Limited Storage

  • Conference paper
  • First Online:
Proceedings of the 6th International Workshop on Hydro Scheduling in Competitive Electricity Markets (HSCM 2018)

Abstract

Optimization of hydroelectric power production is often executed for river systems consisting of several powerplants and reservoirs located in the same region. For hydropower stations located along the same river, the release from upstream reservoirs ends up as inflows to downstream stations. Calculating marginal cost for a string of powerplants with limited reservoir capacity between them, requires a new approach compared to heuristically calculating marginal cost for single plants in well-regulated hydrological systems. A new method, using marginal cost curves for individual powerplants to generate an overall marginal cost curve for interlinked power stations has been developed. Results based on a real-world case study demonstrate the advantage of the proposed method in terms of solution quality, in addition to significant insight into how optimal load distribution should be executed in daily operations.

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

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 84.99
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. Fosso, O.B., Belsnes, M.M.: Short-term hydro scheduling in a liberalized power system. In: Proceedings of 2004 International Conference on Power System Technology - POWERCON, vols. 1 and 2, pp. 1321–1326 (2004)

    Google Scholar 

  2. Mo, B., Gjelsvik, A., Grundt, A.: Integrated risk management of hydropower scheduling and contract management. IEEE Trans. Power Syst. 16, 216–221 (2001)

    Article  Google Scholar 

  3. Hveding, V.: Digital simulation techniques in power system planning. Econ. Plan. 8(1), 118–139 (1968)

    Article  Google Scholar 

  4. Forsund, F.: Hydropower Economics, 2nd edn. International Series in Operations Research & Management Science), vol. 112, pp. 71–76. Springer US, Boston (2015)

    Book  Google Scholar 

  5. Hamann, A., Hug, G., Rosinski, S.: Real-time optimization of the mid-columbia hydropower system. IEEE Trans. Power Syst. 32(1), 157–165 (2017)

    Article  Google Scholar 

  6. Nilsson, O., Sjelvgren, D.: Mixed-integer programming applied to Short term planning of a hydro-thermal system. IEEE Trans. Power Syst. 11(1), 281–286 (1996)

    Article  Google Scholar 

  7. Aasgard, E.K., Andersen, G.S., Fleten, S.E., et al.: Evaluating a stochastic-programming-based bidding model for a multireservoir system. IEEE Trans. Power Syst. 29(4), 1748–1757 (2014)

    Article  Google Scholar 

  8. Skjelbred, H.I., Kong, J., Larsen, T.J., Kristiansen, F.: Operational use of marginal cost curves for hydropower plants as decision support in real-time balancing markets. In: 2017 14th International Conference on the European Energy Market (EEM), pp. 1–6 (2017). ISSN 2165-4093

    Google Scholar 

  9. Wolfgang, O., Haugstad, A., Mo, B., Gjelsvik, A., Wangensteen, I., Doorman, G.: Hydro reservoir handling in Norway before and after deregulation. Energy 34(10), 1642–1651 (2009)

    Article  Google Scholar 

  10. Brovold, S.H., Skar, C., Fosso, O.B.: Implementing hydropower scheduling in a european expansion planning model. Energy Procedia 58, 117–122 (2014)

    Article  Google Scholar 

  11. Gjelsvik, A., Mo, B., Haugstad, A.: Long- and medium-term operations planning and stochastic modelling in hydro-dominated power systems based on stochastic dual dynamic programming. In: Handbook of Power Systems I, pp. 33–56, Springer, Heidelberg (2010)

    MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Hans Ole Riddervold .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2019 Springer Nature Switzerland AG

About this paper

Check for updates. Verify currency and authenticity via CrossMark

Cite this paper

Riddervold, H.O., Skjelbred, H.I., Kong, J., Elvetun, O.L., Korpås, M. (2019). Optimal Pricing of Production Changes in Cascaded River Systems with Limited Storage. In: Helseth, A. (eds) Proceedings of the 6th International Workshop on Hydro Scheduling in Competitive Electricity Markets. HSCM 2018. Springer, Cham. https://doi.org/10.1007/978-3-030-03311-8_7

Download citation

  • DOI: https://doi.org/10.1007/978-3-030-03311-8_7

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-03310-1

  • Online ISBN: 978-3-030-03311-8

  • eBook Packages: EnergyEnergy (R0)

Publish with us

Policies and ethics