Driven by political as well as environmental goals and facilitated by technological advances, the use of renewable energies has steadily increased over the past years. Though the transition to a low-carbon future is highly desirable, it has tremendous implications for the operation of future power systems. In particular, in alternating current (AC) systems the replacement of synchronous generators with inverter-interfaced devices results in a significant reduction of the available system inertia and can lead to much faster frequency dynamics in the grid. Such inverter-dominated power systems are called low-inertia systems. In order to secure an affordable, efficient and sustainable operation in such systems, novel methodical, robust and flexible control solutions are needed.
Motivated by this, the project SyNPiD is devoted to the development of a methodical framework for global analysis and control design in nonlinear dynamical systems, which are periodic in a part of the state coordinates. The latter is an intrinsic property of AC power systems and, due to the periodicity, also leads to the existence of multiple equilibria. The proposed research methodology explicitly exploits the inherent periodicity of the power system dynamics in order to relax the usual requirements of standard stability analysis and control design methods, such as definiteness of Lyapunov functions, which typically hamper the establishment of global properties for AC power systems. Special emphasis is given to the stability analysis and controller design for self-synchronizing mechanisms. For an interconnected system, self-synchronization means that synchronization occurs without any artificially introduced external signal nor action. The obtained results should form a bridge between innovative theoretical concepts for control synthesis and an important application domain dealing with sustainable and green future energy systems, which are at the core of many European and national scientific initiatives.
- the Chair of Control Systems and Network Control Technology at Brandenburg University of Technology Cottbus-Senftenberg (BTU), Germany
- the Valse team of Inria, Lille, France
- José Àngel Mercado Uribe, post-doc, BTU
- Jesus Mendoza Avila, post-doc, Inria
- Schiffer J., Efimov D. Strong and weak Leonov functions for global boundedness of state periodic systems. IEEE Trans. Automatic Control, 68(12), 2023.
- Mercado Uribe J.A., Mendoza-Avila J., Efimov D., Schiffer J. A Control Leonov Function Guaranteeing Global ISS of Two Coupled Synchronverters. IEEE CDC, Singapore, 2023.
- Mendoza-Avila J., Efimov D., Mercado Uribe J.A., Schiffer J. Design of Controls for Boundedness of Trajectories of Multistable State Periodic Systems. IEEE CDC, Singapore, 2023.
- Mercado Uribe J.A., Mendoza Avila J., Efimov D., Schiffer J. A Leonov Function for Almost Global Synchronization Conditions in Acyclic Networks of Heterogeneous Kuramoto Oscillators. Proc. IFAC WC, Yokohama, 2023.
- Mendoza Avila J., Mercado Uribe J.A., Efimov D., Schiffer J. Design of Controls for ISS and Integral ISS Stabilization of Multistable State Periodic Systems. Proc. IFAC WC, Yokohama, 2023.
- Mendoza-Avila J., Efimov D., Mercado Uribe J.A., Schiffer J. On Relaxed Conditions of Integral ISS for Multistable Periodic Systems. IEEE CDC, Cancún, 2022.