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 [10] .

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

To finalize the transfer of the technology demonstrated by our prototype to our industrial partner, an extensive collection of testing and corresponding improvements have been done in 2012. This step has delayed the delivery of the final version of our modeling and simulation environment to Airbus until November 2012.

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 aircraft have been developed as user cases for the project.

In 2012 we focused on automatic generation of agent code based on models that is ready for integration in the ID4CS platform prototype.

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 has pursued the study of equilibrium model for coupled electricity and CO2 allowance exchange markets (see also Section 7.3 ). We have mainly focused on the determination of Nash equilibrium for the coupled electricity and carbon markets with the assumption that the producers maximize their market shares. Nash equilibrium have been obtained by using as an intermediary step a decreasing auction mechanism.

We have also pursued an indifference pricing methodology which is presented in more details in Inria -TOSCA Team section.