Category Publications

Cet article présente l'ensemble des modèles de prix de l'électricité proposés dans la littérature depuis l'ouverture des marchés de l'électricité. Les auteurs se concentrent sur les modèles de prix appliqués à la tarification financière et à la gestion des risques. Les modèles sont classés en fonction de leur capacité à représenter le comportement aléatoire des prix et de certaines de leurs caractéristiques. En particulier, cette classification aide les utilisateurs à choisir Read more [...]

Intraday electricity markets play an important role in the operation of power systems where the share of renewables has been steadily increasing overthe last 15 years. Statistical modeling of prices in these markets is crucial to better understand them and to allow market participants to operate more efficiently. The authors of this paper manage to finely reproduce the statistical properties of the series observed on the intraday markets, in particular to reproduce the microstructure noise, Read more [...]

Coordonner à grande échelle le fonctionnement des appareils électriques « flexibles » (typiquement régulés par thermostat) des particuliers est crucial pour assurer l’équilibrage de réseaux électriques qui sont de plus en plus alimentés par des sources renouvelables, par nature intermittentes. Parce qu’un pilotage centralisé de ces flexibilités nécessiterait l’échange de grandes quantités d’information (qui seraient de surcroit des données privées), on souhaiterait piloter Read more [...]

L'article cherche à décrire la dynamique collective d’un marché de fourniture d’électricité dans lequel une fraction des consommateurs ont souscrit un contrat de type « demand side management », contrat par lequel ils s’engagent à réduire leur consommation pendant des durées prédéterminée et à des instants qui leur sont indiqués de manière aléatoire. Les interactions entre consommateurs ont la forme d’un jeu stochastique non-coopératif à somme non-nulle qui, lorsque ces Read more [...]

The pandemic's impacts on European electricity markets have been enormous, especially in countries with abundant near-zero marginal cost of production like France. This article provides an in-depth quantitative study of the impacts of the crisis on the French electricity sector. During the lockdown episode, France has experienced unparalleled demand reductions (-11.5%) and energy price falls (-40%) resulting in revenue losses of 1.2 billion € (-45%) for market participants. This paper argues that Read more [...]

We consider the control of the COVID–19 pandemic via incentives, through either stochastic SIS or SIR compartmental models. When the epidemic is ongoing, the population can reduce interactions between individuals in order to decrease the rate of transmission of the disease, and thus limit the epidemic. However, this effort comes at a cost for the population. Therefore, the government can put into place incentive policies to encourage the lockdown of the population. In addition, the government may Read more [...]

We formulate an equilibrium model of intraday trading in electricity markets. Agents face balancing constraints between their customers consumption plus intraday sales and their production plus intraday purchases. They have continuously updated forecast of their customers consumption at maturity with decreasing volatility error. Forecasts are prone to idiosyncratic noise as well as common noise (weather). Agents production capacities are subject to independent random outages, which are each modelled Read more [...]

We develop multistep machine learning schemes for solving nonlinear partial differential equations (PDEs) in high dimension. The method is based on probabilistic representation of PDEs by backward stochastic differential equations (BSDEs) and its iterated time discretization. In the case of semilinear PDEs, our algorithm estimates simultaneously by backward induction the solution and its gradient by neural networks through sequential minimizations of suitable quadratic loss functions that are performed Read more [...]

This paper revisits the problem of computing empirical cumulative distribution functions (ECDF) efficiently on large, multivariate datasets. Computing an ECDF at one evaluation point requires O(N) operations on a dataset composed of N data points. Therefore, a direct evaluation of ECDFs at N evaluation points requires a quadratic O(N^2) operations, which is prohibitive for large-scale problems. Two fast and exact methods are proposed and compared. The first one is based on fast summation in lexicographical Read more [...]

The large reductions in electricity demand caused by the COVID-19 crisis have disrupted electricity systems worldwide. This article draws insights from New York into the consequences of the pandemic for electricity markets. It disentangles the effects of the demand reductions, increased forecast errors, and fuel price drops on the day-ahead and real-time markets. From March 16 to May 31, New York has experienced a 6.5% demand reduction, prices have dropped, and producers have lost $87 million (-18%). Read more [...]