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Optimal battery charge/discharge strategies for prosumers and suppliers

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Abstract

We discuss the application of classical variational methods to optimal charging/discharging strategies for a prosumer or storage supplier, where the price of electrical power is known in advance. We outline how a classical calculus of variations approach can be applied to two related problems: (i) how can a prosumer minimise the cost of charging/discharging a battery, when the price of electrical power is known throughout the charging/discharging period? and (ii) how can an electricity supplier incentivise desired prosumer/storage supplier behaviour by adjusting the price?

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References

  1. Binding, C., Sundström, O.: A simulation environment for vehicle-to-grid integration studies. In: Proceedings of the 2011 Summer Computer Simulation Conference (SCSC ’11), pp. 14–21 (2011)

  2. Bompard, E., Connors, S., Full, G., Han, B., Masera, M., Mengolini, A., Nuttall, W.J.: Smart Energy Grids and Complexity Science. Joint Research Centre-Institute for Energy and Transport, European Union (2012)

    Google Scholar 

  3. Ceraolo, M.: New dynamical models of lead-acid batteries. IEEE Trans. Power Syst. 15(4), 1184–1190 (2000)

    Article  Google Scholar 

  4. Cruise, J.R., Gibbens, R.J., Zachary, S.: Optimal control of storage for arbitrage, with applications to energy systems. In: 48th Annual Conference on Information Sciences and Systems (CISS 2014), pp. 1–6 (2014). doi:10.1109/CISS.2014.6814090

  5. The future role and challenges of energy storage. DG ENER Working Paper, European Union. https://ec.europa.eu/energy/sites/ener/files/energy_storage.pdf (2013). Accessed 15 July 2016

  6. Guzzella, L., Sciarretta, A.: Vehicle Propulsion Systems: Introduction to Modeling and Optimization. Springer, Berlin, New York (2005)

    Google Scholar 

  7. Kleiwegt, E., Lukszo, Z.: Grid impact analysis of electric mobility on a local electricity grid. In: 9th IEEE International Conference on Networking, Sensing and Control (ICNSC 2012), pp. 316–321 (2012)

  8. Li, Y., Lukszo, Z., Weijnen, M.P.C.: The potential of electric vehicles to facilitate a high wind power penetration. In: 10th IEEE International Conference on Networking, Sensing and Control (ICNSC 2013), pp. 901–906 (2013)

  9. Energy storage: the missing link in the UK’s energy commitments. Institution of Mechanical Engineers. https://www.imeche.org/docs/default-source/reports/imeche-energy-storage-report.pdf (2014). Accessed 15 July 2016

  10. Rockafellar, R.T.: Convex analysis in the calculus of variations. In: Advances in Convex Analysis and Global Optimization (Pythagorion, 2000), Nonconvex Optim. Appl., vol 54, Kluwer Academic Publishers, Dordrecht, pp. 135–151 (2001)

  11. Seaman, A., Dao, T.S., McPhee, J.: A survey of mathematics-based equivalent-circuit and electrochemical battery models for hybrid and electric vehicle simulation. J. Power Sour. 256, 410–423 (2014)

    Article  Google Scholar 

  12. Tippmann, S., Walper, D., Balboa, L., Spier, B., Bessler, W.G.: Low-temperature charging of lithium-ion cells part I. Electrochemical modeling and experimental investigation of degradation behavior. J. Power Sour. 252, 305–316 (2014)

    Article  Google Scholar 

  13. Verzijlbergh, R.A., Lukszo, Z.: System impacts of electric vehicle charging in an evolving market environment. In: 8th IEEE International Conference on Networking, Sensing and Control (ICNSC 2011), pp. 20–25 (2011)

  14. Verzijlbergh, R.A., Grond, M.O.W., Lukszo, Z., Slootweg, J.G., Ilic, M.D.: Network impacts and cost savings of controlled EV charging. In: 9th IEEE International Conference on Networking, Sensing and Control (ICNSC 2012) pp. 1203–1212 (2012)

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I would like to express my thanks to the referees for their helpful suggestions to improve the manuscript.

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Correspondence to B. D. Mestel.

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Mestel, B.D. Optimal battery charge/discharge strategies for prosumers and suppliers. Energy Syst 8, 511–523 (2017). https://doi.org/10.1007/s12667-016-0211-y

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  • DOI: https://doi.org/10.1007/s12667-016-0211-y

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