Optimal Control of a Capacitor-Type Energy Storage System

Author

Lifshitz, Doron ; Weiss, George

Author_Institution

Sch. of Electr. Eng., Tel Aviv Univ., Ramat Aviv, Israel

Volume

60

Issue

1

fYear

2015

fDate

Jan. 2015

Firstpage

216

Lastpage

220

Abstract

We study the optimal control for the maximization of profit in a grid-connected energy storage system. The changing price of electricity is assumed to be known in advance over the optimization horizon. The system has a storage device (such as a battery) which we model as a capacitor-type device, with natural constraints on its voltage and current. We prove the existence of an optimal control and the fact that a bang-off-bang type policy is optimal. The proof uses Filippov´s theorem and the Pontryagin minimum principle.

Keywords

bang-bang control; capacitor storage; maximum principle; optimisation; power grids; power system control; Filippov theorem; Pontryagin minimum principle; bang-off-bang type policy; capacitor type energy storage system optimal control; electricity price changing; grid-connected energy storage system; optimization horizon; profit maximization; Aging; Batteries; Discharges (electric); Electricity; Optimal control; Optimization; Trajectory; Bang-bang control; Filippov´s theorem; energy storage; optimal control with constraints;

fLanguage

English

Journal_Title

Automatic Control, IEEE Transactions on

Publisher

ieee

ISSN

0018-9286

Type

jour

DOI

10.1109/TAC.2014.2323136

Filename

6814310