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Transmission network expansion planning is a mixed-integer optimization problem, whose solution is used to guide future investment in transmission equipment. An approach is presented to find the global solution of the transmission planning…

Optimization and Control · Mathematics 2017-11-10 Bissan Ghaddar , Rabih Jabr

The integration of more renewable energy sources into the power system is presenting system operators with various challenges. At the distribution system level, voltage magnitudes that violate operating limits near large photovoltaic…

Optimization and Control · Mathematics 2022-01-05 Sandro Merkli , Roy S. Smith

Within the last 20 years, wind turbines have reached matured and the growing worldwide wind energy market will allow further improvements. In the recent decades, the numbers of research papers that have applied optimization techniques in…

Optimization and Control · Mathematics 2016-10-05 Adam Chehouri , Rafic Younes , Adrian Ilinca , Jean Perron

Accurate fault location is essential for operational reliability and fast restoration in wind farm collector networks. However, the growing integration of inverter-based resources changes the current and voltage behavior during faults,…

Systems and Control · Electrical Eng. & Systems 2026-05-25 A. J. Alves Junior , M. J. B. B. Davi , R. A. S. Fernandes , M. Oleskovicz , D. V. Coury

The Steiner tree problem aims to determine a minimum edge-weighted tree that spans a given set of terminal vertices from a given graph. In the past decade, a considerable number of algorithms have been developed to solve this…

Data Structures and Algorithms · Computer Science 2024-08-23 Ming Sun , Xinyu Wu , Yi Zhou , Jin-Kao Hao , Zhang-Hua Fu

Wind energy has become increasingly important for meeting Europe's energy needs. While onshore wind expansion faces public acceptance problems, for offshore wind the European Commission has introduced ambitious goals to increase capacity…

Physics and Society · Physics 2023-06-09 Philipp Glaum , Fabian Neumann , Tom Brown

In this paper we study the problem of optimal layout of an offshore wind farm to minimize the wake effect impacts. Considering the specific requirements of concerned offshore wind farm, we propose an adaptive genetic algorithm (AGA) which…

Neural and Evolutionary Computing · Computer Science 2014-03-28 Feng Liu , Zhifang Wang

The Steiner Forest problem is an important generalization of the Steiner Tree problem. We are given an undirected graph with nonnegative edge costs and a collection of pairs of vertices. The task is to compute a cheapest forest with the…

Data Structures and Algorithms · Computer Science 2024-12-10 Jarosław Byrka , Fabrizio Grandoni , Vera Traub

The Steiner tree problem can be stated in terms of finding a connected set of minimal length containing a given set of finitely many points. We show how to formulate it as a mass-minimization problem for $1$-dimensional currents with…

Optimization and Control · Mathematics 2014-08-13 Andrea Marchese , Annalisa Massaccesi

Recent large eddy simulations have led to improved parameterizations of the effective roughness height of wind farms. This effective roughness height can be used to predict the wind velocity at hub-height as function of the geometric mean…

Fluid Dynamics · Physics 2017-07-07 Richard J. A. M. Stevens

We study a smart grid with wind power and battery storage. Traditionally, day-ahead planning aims to balance demand and wind power, yet actual wind conditions often deviate from forecasts. Short-term flexibility in storage and generation…

Systems and Control · Electrical Eng. & Systems 2022-12-08 Thom S. Badings , Arnd Hartmanns , Nils Jansen , Marnix Suilen

Recent advances in flow-based generative modelling have provided scalable methods for computing the Schr\"odinger Bridge (SB) between distributions, a dynamic form of entropy-regularised Optimal Transport (OT) for the quadratic cost. The…

Machine Learning · Statistics 2025-11-04 Samuel Howard , Peter Potaptchik , George Deligiannidis

Dynamic programming on tree decompositions is a frequently used approach to solve otherwise intractable problems on instances of small treewidth. In recent work by Bodlaender et al., it was shown that for many connectivity problems, there…

Data Structures and Algorithms · Computer Science 2013-06-03 Stefan Fafianie , Hans L. Bodlaender , Jesper Nederlof

Integrating renewable energy into the modern power grid requires risk-cognizant dispatch of resources to account for the stochastic availability of renewables. Toward this goal, day-ahead stochastic market clearing with high-penetration…

Optimization and Control · Mathematics 2016-11-17 Yu Zhang , Georgios B. Giannakis

Given a metric space on n points, an {\alpha}-approximate universal algorithm for the Steiner tree problem outputs a distribution over rooted spanning trees such that for any subset X of vertices containing the root, the expected cost of…

Data Structures and Algorithms · Computer Science 2010-11-18 Anand Bhalgat , Deeparnab Chakrabarty , Sanjeev Khanna

While a theoretical limit has long been established for the performance of a single turbine, no corresponding upper bound exists for the power output from a large wind farm, making it difficult to evaluate the available potential for…

Fluid Dynamics · Physics 2018-09-19 Paolo Luzzatto-Fegiz , Colm-cille P. Caulfield

In this paper, we propose the Ordered Median Tree Location Problem (OMT). The OMT is a single-allocation facility location problem where p facilities must be placed on a network connected by a non-directed tree. The objective is to minimize…

Discrete Mathematics · Computer Science 2025-02-11 Miguel A. Pozo , Justo Puerto , Alberto Torrejon

This paper presents and evaluates two pruning techniques to reinforce the efficiency of constraint optimization solvers based on multi-valued decision-diagrams (MDD). It adopts the branch-and-bound framework proposed by Bergman et al. in…

Artificial Intelligence · Computer Science 2021-04-27 Xavier Gillard , Vianney Coppé , Pierre Schaus , André Augusto Cire

Rinne et al. conduct an interesting analysis of the impact of wind turbine technology and land-use on wind power potentials, which allows profound insights into each factors contribution to overall potentials. The paper presents a detailed…

Applications · Statistics 2021-12-30 Claude Klöckl , Katharina Gruber , Peter Regner , Sebastian Wehrle , Johannes Schmidt

The Steiner tree problem is a well-known problem in network design, routing, and VLSI design. Given a graph, edge costs, and a set of dedicated vertices (terminals), the Steiner tree problem asks to output a sub-graph that connects all…

Artificial Intelligence · Computer Science 2020-11-10 Johannes K. Fichte , Markus Hecher , Andre Schidler