Dresden 2020 – scientific programme
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DY: Fachverband Dynamik und Statistische Physik
DY 58: Poster: Nonlinear Dynamics; Pattern Formation; Networks; Delay Systems; Synchronization
DY 58.15: Poster
Thursday, March 19, 2020, 15:00–18:00, P1C
Formulation of Voltage Dynamics in Complex Quantities — •Hannes Vogel1,3 and Frank Hellmann2 — 1Humboldt-Universität zu Berlin, Berlin, Germany — 2Potsdam-Institut für Klimafolgenforschung, Potsdam, Germany — 3Stockholm University, Stockholm, Sweden
Understanding the stability of voltage dynamics in power grids is essential to the development of decentralized power networks for renewable energy sources. Current voltage dynamics models are motivated either by physics or control theory. We aim to formulate the power grid dynamics in terms of complex voltages, which combine the dynamics of rotor angle, frequency and voltage amplitude. To get a better overview of the properties of different models and to find criteria for classification, a common general formulation is needed. Indeed, such a formulation is obtained by writing the differential equations in a complex power series. Therefore the mathematical structure of the Stuart-Landau equation functions as a prototype.