Modular Analysis and Control of Interconnected Systems of Conservation Laws: Electric, Hydraulic and Pneumatic Distribution Networks
Application Deadline: In order to receive full consideration, the application should be received no later than April 30th, 2015. CLOSED
Laboratory: Ampère, UMR CNRS 5005
Networks of balance laws are defined by the interconnection (mainly through boundary conditions) of subsystems individually characterized by the conservation of certain quantities (mass/charge/etc.). These systems are often encountered when modeling distribution networks (for energy, water, fuel, etc.). As these systems adopt more complicated topologies and decentralized structures (aiming to increase the resilience of the network with respect to localized failures), new challenges are introduced. In this PhD, the candidate will study some of the problems linked to the large-scale interconnection of infinite-dimensional (distributed parameter) systems. Two motivating examples are the control of high-voltage direct current (HVDC) networks and the problem of leak detection and localization in pipelines.
The general objective of this PhD is the development of modular tools and methods for the study of networks of conservation laws. Guided by recent developments in the domain of control systems concerning both infinite-dimensional systems and networked systems, we propose to address the following points:
One of the main originalities of this work consists on taking into account the infinite-dimensional dynamics of the distribution lines, which is particularly important when studying transient regimes. Using reduced- order models (e.g., quasi-static models or fixed-frequency models) can force the adoption of a certain level of conservatism in order to avoid problems linked to unmodeled dynamics. This conservatism is, in general, not well characterized. Another key aspect is the modularity of the tools developed (in order to maximize the domain of application) and accounting for computational constraints (both real-time and offline).
See full description and contact information in the attached PDF file.