Controlling Microgrids Without External Data: A Benchmark of Stochastic Programming Methods

Alban Puech (1) , Tristan Rigaut (1) , Adrien Le Franc (2) , William Templier (1) , Jean-Christophe Alais (1) , Maud Tournoud (1) , Victor Bossard (1) , Alejandro Yousef (1) , Elena Stolyarova (1)

1 SE - Schneider Electric
2 LAAS-POP - Equipe Polynomial OPtimization

Microgrids are local energy systems that integrate energy production, demand, and storage units. They are generally connected to the regional grid to import electricity when local production and storage do not meet the demand. In this context, Energy Management Systems (EMS) are used to ensure the balance between supply and demand, while minimizing the electricity bill, or an environmental criterion. The main implementation challenges for an EMS come from the uncertainties in the consumption, the local renewable energy production, and in the price and the carbon intensity of electricity. Model Predictive Control (MPC) is widely used to implement EMS but is particularly sensitive to the forecast quality, and often requires a subscription to expensive third-party forecast services. We introduce four Multistage Stochastic Control Algorithms relying only on historical data obtained from on-site measurements. We formulate them under the shared framework of Multistage Stochastic Programming and benchmark them against two baselines in 61 different microgrid setups using the EMSx dataset. Our most effective algorithm produces notable cost reductions compared to an MPC that utilizes the same uncertainty model to generate predictions, and it demonstrates similar performance levels to an ideal MPC that relies on perfect forecasts.

Mots clés: microgrid; model predictive control; stochastic programming; stochastic optimization

Domaines: Optimisation et contrôle [math.OC]

Alban Puech, Tristan Rigaut, Adrien Le Franc, William Templier, Jean-Christophe Alais, et al.. Controlling Microgrids Without External Data: A Benchmark of Stochastic Programming Methods. IEEE PES Innovative Smart Grid Technologies Europe (ISGT EUROPE 2023), Oct 2023, Grenoble, France. ⟨10.1109/ISGTEUROPE56780.2023.10407934⟩. ⟨hal-04083666v3⟩