Stochastic optimal control of a domestic microgrid equipped with solar panel and battery

Abstract : —Microgrids are integrated systems that gather and operate energy production units to satisfy consumers demands. This paper details different mathematical methods to design the Energy Management System (EMS) of domestic microgrids. We consider different stocks coupled together — a battery, a domestic hot water tank — and decentralized energy production with solar panel. The main challenge of the EMS is to ensure, at least cost, that supply matches demand for all time, while considering the inherent uncertainties of such systems. We benchmark two optimization algorithms to manage the EMS, and compare them with a heuristic. The Model Predictive Control (MPC) is a well known algorithm which models the future uncertainties with a deterministic forecast. By contrast, Stochastic Dual Dynamic Programming (SDDP) models the future uncertainties as probability distributions to compute optimal policies. We present a fair comparison of these two algorithms to control microgrid. A comprehensive numerical study shows that i) optimization algorithms achieve significant gains compared to the heuristic, ii) SDDP outperforms MPC by a few percents, with a reasonable computational overhead.
Document type :
Preprints, Working Papers, ...
Liste complète des métadonnées

Cited literature [24 references]  Display  Hide  Download

https://hal-enpc.archives-ouvertes.fr/hal-01688666
Contributor : François Pacaud <>
Submitted on : Friday, January 19, 2018 - 3:51:16 PM
Last modification on : Monday, January 29, 2018 - 10:53:35 AM
Document(s) archivé(s) le : Thursday, May 24, 2018 - 8:02:15 AM

Files

SOLAR.pdf
Files produced by the author(s)

Identifiers

  • HAL Id : hal-01688666, version 1
  • ARXIV : 1801.06479

Citation

François Pacaud, Pierre Carpentier, Jean-Philippe Chancelier, Michel de Lara. Stochastic optimal control of a domestic microgrid equipped with solar panel and battery. 2018. ⟨hal-01688666⟩

Share

Metrics

Record views

275

Files downloads

161