Analysis and optimization of complex technological systems with energetic applications

Project title: "Analysis and optimization of complex technological systems with energetic applications"

Project identifier: OTKA K-131501

Partners: Pázmány Péter Catholic University, Faculty of Information Technology

Contact person: Dr. Attila Magyar


Complex nonlinear electrical energy systems form an important application area of nonlinear systems that often exhibit an underlying network structure. Similar networked nonlinear system models can be found in other important applications, such as biochemical, transportation, gas and water supply systems. Our earlier results about nonnegative polynomial dynamical systems are, therefore, a starting point for this project. The equilibrium structure and the dynamic behavior of the above networked nonlinear system models are largely determined by its network structure together with the dynamics of the nodes in the network. The rich literature on networked systems will be utilized here together with our previous results on investigating the dynamics and distributed control of delayed kinetic systems. The third pillar of our planned work is the area of optimal operation design of electrical energy systems in all level, from the equipment level with battery operation through the level of electrical grids to the level of the electrical energy market, that apply advanced modeling and optimization techniques tailored to the targeted electrical energy system.

The aim of the planned research is the development of new tools and algorithms that efficiently support the dynamical
analysis of the studied systems and also the solution of certain network-design problems. The following basic research questions will be investigated and solved.

  1. How can we extract useful dynamical, operational and diagnostic information from the network structure of complex nonlinear systems?
  2. How can we generalize the known advanced methods for controlling and diagnosing nonlinear systems to the case of complex systems with known network structure such that the developed algorithms are computationally effective?
  3. How can we optimally operate distributed electrical networks incorporating renewable sources in a market environment?

The constantly growing energy consumption together with the operation and modernization of the existing electrical grid in parallel with the rise of new, modeling approaches is an actively investigated field nowadays. Because of the complexity of the underlying networked nonlinear dynamical system and its behavior, advanced modeling, dynamic analysis, optimization, and control methods are needed for solving important problems in this field. This proposal offers novel approaches, tools, and techniques to explore the characteristics of nonlinear systems originated from energy distribution networks or other, mainly electrical energy-related systems (e.g storage) in order to design advanced methods for their dynamic analysis, control design, and diagnosis.