Modeling the dynamics and control of power systems with high share of renewable energies

A challenge for renewable and hybrid power systems is the dynamically stable integration of Renewable Energy Sources (RES). This paper specifically investigates the influence of intermittent RES and measurement delays from power electronic resources on frequency stability. In addition it presents an Open-Source framework to undertake dynamic RES modeling. First, for local intermittent fluctuations in lossy distribution grids I find a remarkable and subtle but robust interplay of dynamical and topological properties, which is largely absent for lossless grids. Second, I show how delays may induce resonance catastrophes and how the existence of critical delays sets an upper limit for measurement times. Further, I investigate whether centralized vs. decentralized power production, for different grid topologies, changes this behavior. Third, the code used for producing the above results is in the process of being published as an open-source Software framework called PowerDynamics.jl being developed in the programming language Julia. It will cover the rich novel dynamics caused by the integration of RES with the implementation of Differential Algebraic (DAEs), Delayed Differential (DDEs) and Stochastic Differential Algebraic Equations (SDAEs). Altogether, this paper investigates the stability of future power grids moving towards integrating more aspects of renewable energy dynamics and presents an adequate modeling framework for RES integration studies.

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