Optimal Control of Energy Storage Devices Based on Pontryagin's Minimum Principle and the Shortest Path Method

Noa Zargari, Yoash Levron, Juri Belikov

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

Optimal control strategies for storage devices have been extensively explored in recent years. Two leading approaches are solutions based on dynamic programming and solutions that stem from Pontryagin's minimum principle. Recent studies propose an optimal control strategy for storage devices which is based on the idea of the shortest path: the optimal generated energy must follow the shortest path within two bounds set by the load profile and the device capacity. The current paper continues these studies and shows that the shortest path principle may be derived directly from Pontryagin's minimum principle. This result is of theoretical interest since it demonstrates that the intuitive shortest path method can be easily extended to handle more complex systems. Based on this result we also develop a low-complexity algorithm for calculating the shortest path, which is tested in several case studies.

Original languageEnglish
Title of host publicationProceedings of 2019 IEEE PES Innovative Smart Grid Technologies Europe, ISGT-Europe 2019
ISBN (Electronic)9781538682180
DOIs
StatePublished - Sep 2019
Event2019 IEEE PES Innovative Smart Grid Technologies Europe, ISGT-Europe 2019 - Bucharest, Romania
Duration: 29 Sep 20192 Oct 2019

Publication series

NameProceedings of 2019 IEEE PES Innovative Smart Grid Technologies Europe, ISGT-Europe 2019

Conference

Conference2019 IEEE PES Innovative Smart Grid Technologies Europe, ISGT-Europe 2019
Country/TerritoryRomania
CityBucharest
Period29/09/192/10/19

Keywords

  • Energy storage
  • energy balancing
  • load leveling
  • maximum principle
  • minimum principle
  • optimal control
  • peak shaving
  • power management
  • storage device

ASJC Scopus subject areas

  • Artificial Intelligence
  • Computer Networks and Communications
  • Energy Engineering and Power Technology
  • Renewable Energy, Sustainability and the Environment
  • Electrical and Electronic Engineering

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