Section: New Results

Miscellaneous results

Symbolic tools for modeling and simulation

Participant : Yves Papegay.

This activity is the main part of a long-term ongoing collaboration with Airbus whose goal is to directly translate the conceptual work of aeronautics engineers into digital simulators to accelerate aircraft design.

An extensive modeling and simulation platform has been designed which includes a dedicated modeling language for the description of aircraft dynamics models in term of formulae and algorithms, and a symbolic compiler producing as target an efficient numerical simulation code ready to be plugged into a flight simulator, as well as a formatted documentation compliant with industrial requirements of corporate memory.

Implementation of this platform is a modeling and simulation environment based on symbolic computation tools. It contains several components :

  • a model editor, that makes it possible and easy to enter the whole set of equations describing large and complex industrial models,

  • an highly interactive and modular evaluation workbench allowing to simulate the models and to visualize the results inside the modeling environment with the benefits for the designer of being able to directly use all its computational functionnalities.

  • a C code generator which, using these models, automatically generates the numerical real-time simulation engines

  • a technical documentation generator

Technology demonstrated by our prototype has been transferred to our industrial partner in 2012 when final version of our modeling and simulation environment has been delivered to Airbus in November 2012.

However, in 2013, we have worked on several enhancements and extension of functionnalities, namely to ease the integration of our environment into the airbus toolbox. Developer level know-how has been transferred to a software company in charge of industrialization and maintenance of the modeling and simulation environment.

Multi-agent aircraft design

Participant : Yves Papegay.

The modeling environment described in the previous section is used, in collaboration with other teams at Airbus, in the framework of the ID4CS project founded by ANR and dedicated to multi-agent optimization of large scale system.

Several models of aircraft engines and of aircrafts have been developed as user cases for the project.

2013 is the last year of the project when agent code based on models has been used to solve several practical optimization problems based on these models.

Equilibrium strategies for linked Electricity and CO2 markets

Participant : Odile Pourtallier.

In collaboration with M. Bossy (Inria -TOSCA Team) and N. Maïzi (CMA - Mines Paristech) O. Pourtallier we have pursued our work on CO2 and electricity market coupling.

The aim of this work is to develop analytic tools, in order to design a relevant mechanism for carbon markets, where relevant refers to emission reduction. In the context of electricity, the number of producers is limited, a standard game theory approach applies. The producers are considered as players behaving on the two financial markets represented here by carbon and electricity. We establish a Nash equilibrium for this non-cooperative J-player game through a coupling mechanism between the two markets.

The original idea comes from the French electricity sector, where the spot electricity market is often used to satisfy peak demand. Producers behavior is demand driven and linked to the maximum level of electricity production. Each producer strives to maximize its market share. In the meantime, it has to manage the environmental burden associated with its electricity production through a mechanism inspired by the EU ETS (European Emission Trading System) framework : each producer emission level must be balanced by a permit or through the payment of a penalty. Emission permit allocations are simulated through a carbon market that allows the producers to buy the allowances at an auction.

Based on a static elastic demand curve (referring to the times stages in an organized electricity market, mainly day-ahead and intra-day), we solve the local problem of establishing a non-cooperative Nash equilibrium for the two coupled markets.