title: Dynamical behavior and peak power reduction in a pair of energy storage oscillators coupled by delayed power price.
abstract: This paper investigates dynamics of a management system for controlling a pair of energy storages. The system involves the following two characteristics: each storage behaves in a manner that reduces the number of charge noncharge cycles and begins to be charged when the price of power is lower than a particular price threshold. The price is proportional to the past total power flow from a power grid to all storages. A peak of the total power flow occurs when these storages are charged simultaneously. From the viewpoint of nonlinear dynamics, the energy storages can be considered as relaxation oscillators coupled by a delay connection. Our analytical results suggest that the peak can be reduced by inducing an antiphase synchronization in coupled oscillators. We confirm these analytical results through numerical simulations. In addition, we numerically investigate the dynamical behavior in 10 storages and find that time delay in the connection is important in reducing the peak.
authors.affiliation: Department of Electrical and Information Systems, Osaka Prefecture University, 1-1 Gakuen-cho, Naka-ku, Sakai, Osaka 599-8531 Japan.
authors.forename: Tomohiro
authors.initials: T
authors.lastname: Fukunaga
authors.affiliation: Department of Electrical and Information Systems, Osaka Prefecture University, 1-1 Gakuen-cho, Naka-ku, Sakai, Osaka 599-8531 Japan.
authors.forename: Tomoaki
authors.initials: T
authors.lastname: Imasaka
authors.affiliation: Engineering R&D Center, DENSO CORPORATION, 1-1 Showa-cho, Kariya, Aichi 448-8661 Japan.
authors.forename: Akira
authors.initials: A
authors.lastname: Ito
authors.affiliation: Department of Electrical and Information Systems, Osaka Prefecture University, 1-1 Gakuen-cho, Naka-ku, Sakai, Osaka 599-8531 Japan.
authors.forename: Yoshiki
authors.initials: Y
authors.lastname: Sugitani
authors.affiliation: Department of Electrical and Information Systems, Osaka Prefecture University, 1-1 Gakuen-cho, Naka-ku, Sakai, Osaka 599-8531 Japan.
authors.forename: Keiji
authors.initials: K
authors.lastname: Konishi
authors.affiliation: Department of Electrical and Information Systems, Osaka Prefecture University, 1-1 Gakuen-cho, Naka-ku, Sakai, Osaka 599-8531 Japan.
authors.forename: Naoyuki
authors.initials: N
authors.lastname: Hara