61 citations · 206 across the 26 of their papers we have counts for
26 papers
Modelling the Nordic power system expansion with PyPSA-Eur: a comparison with the Nordic Grid Development Perspective 2025
Leonardo Rydin Gorjão, Heidi S. Nygård
We compare the Nordic Grid Development Perspective 2025 (NGDP) with a least-cost transition pathway for the Nordic power system obtained with PyPSA-Eur for the period 2025-2050 und…
A graph theoretic view on small signal stability of inverter-based power grids
Iva Bačić, Jakob Niehues, Philipp C. Böttcher +5
Dynamic grid stability is traditionally ensured with synchronous generators. Modern grids rely substantially more on inverter-based resources, which require grid-forming control to…
PowerSINDy: Identifying Nonlinear Time-Dependent Dynamics in Power Grid Frequency
Xinyi Wen, Xiao Li, Leonardo Rydin Gorjão +2
System identification plays a crucial role in physics and machine learning for discovering governing equations directly from data. A powerful approach is the Sparse Identification…
Understanding the complexity of frequency and phase angle fluctuations in power grids
Alessandro Lonardi, Jacques M. Maritz, Leonardo Rydin Gorjão +1
Power grids must modernize to meet climate goals while maintaining reliable and stable operating conditions. Yet progress is hindered by a limited understanding of the stochastic p…
Jump-diffusion models of parametric volume-price distributions
Anup Budhathoki, Leonardo Rydin Gorjão, Pedro G. Lind +1
We present a data-driven framework to model the stochastic evolution of volume-price distribution from the New York Stock Exchange (NYSE) equities. The empirical distributions are…
Discontinuous stochastic forcing in Greenland ice core data
Keno Riechers, Andreas Morr, Klaus Lehnertz +4
Paleoclimate proxy records from Greenland ice cores, archiving e.g. O as a proxy for surface temperature, show that sudden climatic shifts called Dansgaard-Oeschger events…
Multivariate Scenario Generation of Day-Ahead Electricity Prices using Normalizing Flows
Hannes Hilger, Dirk Witthaut, Manuel Dahmen +3
Trading on the day-ahead electricity markets requires accurate information about the realization of electricity prices and the uncertainty attached to the predictions. Deriving acc…
Probabilistic Forecasting of Day-Ahead Electricity Prices and their Volatility with LSTMs
Julius Trebbien, Sebastian Pütz, Benjamin Schäfer +3
Accurate forecasts of electricity prices are crucial for the management of electric power systems and the development of smart applications. European electricity prices have risen…
Non-standard power grid frequency statistics in Asia, Australia, and Europe
Xinyi Wen, Mehrnaz Anvari, Leonardo Rydin Gorjao +3
The power-grid frequency reflects the balance between electricity supply and demand. Measuring the frequency and its variations allows monitoring of the power balance in the system…
Anticipating critical transitions in multidimensional systems driven by time- and state-dependent noise
Andreas Morr, Keno Riechers, Leonardo Rydin Gorjão +1
Anticipating bifurcation-induced transitions in dynamical systems has gained relevance in various fields of the natural, social, and economic sciences. Before the annihilation of a…
Stability bounds of droop-controlled inverters in power grid networks
Philipp C. Böttcher, Leonardo Rydin Gorjão, Dirk Witthaut
The energy mix of future power systems will include high shares of wind power and solar PV. These generation facilities are generally connected via power-electronic inverters. Whil…
Non-linear, bivariate stochastic modelling of power-grid frequency applied to islands
Ulrich Oberhofer, Leonardo Rydin Gorjão, G. Cigdem Yalcin +3
Mitigating climate change requires a transition away from fossil fuels towards renewable energy. As a result, power generation becomes more volatile and options for microgrids and…
Understanding electricity prices beyond the merit order principle using explainable AI
Julius Trebbien, Leonardo Rydin Gorjão, Aaron Praktiknjo +2
Electricity prices in liberalized markets are determined by the supply and demand for electric power, which are in turn driven by various external influences that vary strongly in…
Microscopic fluctuations in power-grid frequency recordings at the sub-second scale
Benjamin Schäfer, Leonardo Rydin Gorjão, G. Cigdem Yalcin +5
Complex systems, such as the power grid, are essential for our daily lives. Many complex systems display (multi-)fractal behavior, correlated fluctuations and power laws. Whether t…
Initial analysis of the impact of the Ukrainian power grid synchronization with Continental Europe
Philipp C. Böttcher, Leonardo Rydin Gorjão, Christian Beck +5
When Russia invaded Ukraine on the 24\textsuperscript{th} of February 2022, this led to many acts of solidarity with Ukraine, including support for its electricity system. Just 20…
Change of persistence in European electricity spot prices
Leonardo Rydin Gorjão, Dirk Witthaut, Pedro G. Lind +1
The European Power Exchange has introduced day-ahead auctions and continuous trading spot markets to facilitate the insertion of renewable electricity. These markets are designed t…
Complexity and Persistence of Price Time Series of the European Electricity Spot Market
Chengyuan Han, Hannes Hilger, Eva Mix +5
The large variability of renewable power sources is a central challenge in the transition to a sustainable energy system. Electricity markets are central for the coordination of el…
Validation Methods for Energy Time Series Scenarios from Deep Generative Models
Eike Cramer, Leonardo Rydin Gorjão, Alexander Mitsos +3
The design and operation of modern energy systems are heavily influenced by time-dependent and uncertain parameters, e.g., renewable electricity generation, load-demand, and electr…
Phase and amplitude synchronisation in power-grid frequency fluctuations in the Nordic Grid
Leonardo Rydin Gorjão, Luigi Vanfretti, Dirk Witthaut +2
Monitoring and modelling the power grid frequency is key to ensuring stability in the electrical power system. Many tools exist to investigate the detailed deterministic dynamics a…
Arbitrary-order finite-time corrections for the Kramers-Moyal operator
Leonardo Rydin Gorjão, Dirk Witthaut, Klaus Lehnertz +1
With the aim of improving the reconstruction of stochastic evolution equations from empirical time-series data, we derive a full representation of the generator of the Kramers-Moya…
Spatio-temporal complexity of power-grid frequency fluctuations
Leonardo Rydin Gorjão, Benjamin Schäfer, Dirk Witthaut +1
Power-grid systems constitute one of the most complex man-made spatially extended structures. These operate with strict operational bounds to ensure synchrony across the grid. This…
Database of Power Grid Frequency Measurements
Richard Jumar, Heiko Maaß, Benjamin Schäfer +2
The transformation of the electrical energy system attracts much attention in diverse research communities. Novel approaches for modeling, control, and power grid architectures are…
kramersmoyal: Kramers--Moyal coefficients for stochastic processes
Leonardo Rydin Gorjão, Francisco Meirinhos
kramersmoyal is a python library to extract the Kramers--Moyal coefficients from timeseries of any dimension and to any desired order. This package employs a non-parametric Nadaray…
Data-driven model of the power-grid frequency dynamics
Leonardo Rydin Gorjão, Mehrnaz Anvari, Holger Kantz +4
The energy system is rapidly changing to accommodate the increasing number of renewable generators and the general transition towards a more sustainable future. Simultaneously, bus…