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.
| Original language | English |
|---|---|
| Article number | 6814310 |
| Pages (from-to) | 216-220 |
| Number of pages | 5 |
| Journal | IEEE Transactions on Automatic Control |
| Volume | 60 |
| Issue number | 1 |
| DOIs | |
| State | Published - 1 Jan 2015 |
Keywords
- Bang-bang control
- Filippov's theorem
- energy storage
- optimal control with constraints