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Wind farm placement arranges the size and the location of multiple wind farms within a given region. The power output is highly related to the wind speed on spatial and temporal levels, which can be modeled by advanced data-driven…

Machine Learning · Statistics 2025-10-02 Wenxiu Feng , Antonio Alcántara , Carlos Ruiz

The rapid increase in scale and sophistication of offshore wind (OSW) farms poses a critical challenge related to the cost-effective operation and management of wind energy assets. A defining characteristic of this challenge is the economic…

Systems and Control · Electrical Eng. & Systems 2023-08-31 Petros Papadopoulos , Farnaz Fallahi , Murat Yildirim , Ahmed Aziz Ezzat

Offshore wind farms (OWFs) are set to significantly contribute to global decarbonization efforts. Developers often use a sequential approach to optimize design variables and market participation for grid-integrated offshore wind farms.…

Systems and Control · Electrical Eng. & Systems 2025-04-14 Himanshu Sharma , Wei Wang , Bowen Huang , Buxin She , Thiagarajan Ramachandaran

The planning and operation of renewable energy, especially wind power, depend crucially on accurate, timely, and high-resolution weather information. Coarse-grid global numerical weather forecasts are typically downscaled to meet these…

In transmission networks, power flows and network topology are deeply intertwined due to power flow physics. Recent literature shows that a specific more hierarchical network structure can effectively inhibit the propagation of line…

Optimization and Control · Mathematics 2025-02-06 Leon Lan , Alessandro Zocca

The maritime industry must prepare for the energy transition from fossil fuels to sustainable alternatives. Making ships future-proof is necessary given their long lifetime, but it is also complex because the future fuel type is uncertain.…

Optimization and Control · Mathematics 2024-07-01 Berend Markhorst , Joost Berkhout , Alessandro Zocca , Jeroen Pruyn , Rob van der Mei

Governments across the world are planning to increase the share of renewables in their energy systems. The siting of new wind and solar power plants requires close coordination with grid planning, and hence co-optimization of investment in…

Optimization and Control · Mathematics 2020-09-25 Fabian Neumann , Tom Brown

Interconnecting price zones and remote renewable energy sources has emerged as a key solution to achieving climate goals. The objective of this work is to present a formulation that extends the base optimal power flow model with price zones…

Systems and Control · Electrical Eng. & Systems 2025-05-27 Bernardo Castro Valerio , Vinícius Albernaz Lacerda , Marc Cheah-Mañe , Pieter Gebraad , Oriol Gomis-Bellmunt

We introduce a flow-dependent version of the quadratic Steiner tree problem in the plane. An instance of the problem on a set of embedded sources and a sink asks for a directed tree $T$ spanning these nodes and a bounded number of Steiner…

Metric Geometry · Mathematics 2011-11-11 Marcus Brazil , Charl Ras , Doreen Thomas

A central challenge in the design of energy-efficient wind farms is the presence of wake effects between turbines. When a wind turbine harvests energy from free wind, it produces a turbulent region with reduced energy for downstream…

Optimization and Control · Mathematics 2025-12-24 James Kotary , Natalie Isenberg , Draguna Vrabie

In the classical (min-cost) Steiner tree problem, we are given an edge-weighted undirected graph and a set of terminal nodes. The goal is to compute a min-cost tree S which spans all terminals. In this paper we consider the min-power…

Data Structures and Algorithms · Computer Science 2012-05-17 Fabrizio Grandoni

High wind energy penetration critically challenges the economic dispatch of current and future power systems. Supply and demand must be balanced at every bus of the grid, while respecting transmission line ratings and accounting for the…

Optimization and Control · Mathematics 2013-05-28 Yu Zhang , Nikolaos Gatsis , Vassilis Kekatos , Georgios B. Giannakis

Energy system modellers typically choose a low spatial resolution for their models based on administrative boundaries such as countries, which eases data collection and reduces computation times. However, a low spatial resolution can lead…

Physics and Society · Physics 2023-01-18 Martha Maria Frysztacki , Jonas Hörsch , Veit Hagenmeyer , Tom Brown

{\em Reoptimization} is a setting in which we are given an (near) optimal solution of a problem instance and a local modification that slightly changes the instance. The main goal is that of finding an (near) optimal solution of the…

Data Structures and Algorithms · Computer Science 2018-05-01 Davide Bilò

We give a dynamic programming solution to find the minimum cost of a diameter constrained Steiner tree in case of directed graphs. Then we show a simple reduction from undirected version to the directed version to realize an algorithm of…

Data Structures and Algorithms · Computer Science 2021-10-20 Prashanth Amireddy , Chetan Sai Digumarthi

The rapid uptake of renewable energy technologies in recent decades has increased the demand of energy researchers, policymakers and energy planners for reliable data on the spatial distribution of their costs and potentials. For onshore…

The Euclidean Steiner tree problem, normally posed in two dimensions, seeks to connect a set of prescribed terminal nodes by placing additional nodes, known as Steiner points, with edges connecting such nodes either to another Steiner point…

Systems and Control · Electrical Eng. & Systems 2026-04-24 Manou Rosenberg , Mengbin Ye , Brian D. O. Anderson

Wind power integration is an essential problem for modern power industry. In this paper, we develop a novel bilevel mixed integer optimization model to investigate wind power generation planning problem in an electricity market environment…

Optimization and Control · Mathematics 2017-01-13 Yifan Wang , Shixin Liu , Bo Zeng

This paper proposes a new optimization model and solution method for determining optimal locations and sizing of renewable energy sources and hydrogen storage in a power network. We obtain these strategic decisions based on the multi-period…

Optimization and Control · Mathematics 2022-07-25 Sezen Ece Kayacık , Albert H. Schrotenboer , Evrim Ursavas , Iris F. A. Vis

Offshore wind power in the North Sea is considered a main pillar in Europe's future energy system. A key challenge lies in determining the optimal spatial capacity allocation of offshore wind parks in combination with the dimensioning and…

Systems and Control · Electrical Eng. & Systems 2023-12-01 David Kröger , Jan Peper , Nils Offermann , Christian Rehtanz