Demand Response and Renewable Energy Management using Continuous-Time Optimization

Johann Leithon, Sumei Sun, Teng Joon Lim

Research output: Contribution to journalArticleScientificpeer-review

17 Citations (Scopus)


Facilities with limited flexibility to schedule their power consumption, such as office buildings or commercial establishments, can be modelled as time-varying non-deferrable loads. In this paper, we propose a demand response strategy for a non-deferrable load facility with renewable energy harvesting and storage capabilities. We assume time-varying electricity prices, and devise a strategy to minimize the expected energy cost incurred by the facility over a finite planning horizon. Unlike existing works, we derive our results by using a generalized model for the energy storage device, which takes into account the non-linear relationship between the discharging rate and the remaining charge. Moreover, we use continuous-time optimization to obtain explicit results, which are meant to reduce the computational complexity of existing strategies. Finally, we use simulations to show that the proposed strategy outperforms the state of the art, especially when the battery discharging model is strictly non-linear.

Original languageEnglish
Pages (from-to)991-1000
Number of pages10
JournalIEEE Transactions on Sustainable Energy
Issue number2
Early online date2017
Publication statusPublished - Apr 2018
MoE publication typeA1 Journal article-refereed


  • continuous-time optimization
  • Demand response
  • Electrostatic discharges
  • Load management
  • Load modeling
  • Mathematical model
  • Optimization
  • renewable energy reserves modelling
  • Renewable energy sources
  • Stochastic processes

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