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Dresden 2020 – wissenschaftliches Programm

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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

Donnerstag, 19. März 2020, 15:00–18:00, P1C

Formulation of Voltage Dynamics in Complex Quantities — •Hannes Vogel1,3 and Frank Hellmann21Humboldt-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.

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