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The bus admittance matrix is central to many power system simulation algorithms, but the link between problem size and computation time (i.e., the time complexity) using modern sparse solvers is not fully understood. It has recently been…

Systems and Control · Electrical Eng. & Systems 2023-11-21 Matthew Deakin , Davis Montenegro

To reduce computational complexity, macro-energy system models commonly implement reduced time-series data. For renewable energy systems dependent on seasonal storage and characterized by intermittent renewables, like wind and solar,…

General Economics · Economics 2022-12-21 Leonard Göke , Mario Kendziorski

In this paper, we propose an analytical framework to quantify the amount of data samples needed to obtain accurate state estimation in a power system - a problem known as sample complexity analysis in computer science. Motivated by the…

Optimization and Control · Mathematics 2019-09-20 Joshua Comden , Marcello Colombino , Andrey Bernstein , Zhenhua Liu

Aggregation schemes provide a means to reduce the computational complexity of power system operation by reducing the number of devices that are considered individually. This can be achieved with tools of computational geometry, where the…

Optimization and Control · Mathematics 2026-04-17 Maurice Raetsch , Maísa Beraldo Bandeira , Christian Rehtanz , Alexander Engelmann , Timm Faulwasser

Processing sets or other unordered, potentially variable-sized inputs in neural networks is usually handled by aggregating a number of input tensors into a single representation. While a number of aggregation methods already exist from…

Machine Learning · Computer Science 2022-07-05 Sergey Bartunov , Fabian B. Fuchs , Timothy Lillicrap

The growth in variable renewables such as solar and wind is increasing the impact of climate uncertainty in energy system planning. Addressing this ideally requires high-resolution time series spanning at least a few decades. However,…

Applications · Statistics 2022-10-18 Adriaan P Hilbers , David J Brayshaw , Axel Gandy

Power system security assessment methods require large datasets of operating points to train or test their performance. As historical data often contain limited number of abnormal situations, simulation data are necessary to accurately…

Systems and Control · Computer Science 2019-02-04 Florian Thams , Andreas Venzke , Robert Eriksson , Spyros Chatzivasileiadis

Loads represent a promising flexibility source to support the integration of renewable energy sources, as they may shift their energy consumption over time. By computing the aggregated flexibility of power and energy-constrained loads,…

Systems and Control · Electrical Eng. & Systems 2025-05-23 Julie Rousseau , Philipp Heer , Kristina Orehounig , Gabriela Hug

Energy system optimization often relies on time series aggregation to ensure computational tractability. Aggregation generally loses the chronology of time steps, which renders the storage level representation challenging. Typically, this…

Optimization and Control · Mathematics 2025-12-02 Jacob Mannhardt , Lukas Kunz , Giovanni Sansavini

Emerging reconfigurable optical communication technologies allow to enhance datacenter topologies with demand-aware links optimized towards traffic patterns. This paper studies the algorithmic problem of jointly optimizing topology and…

Performance · Computer Science 2024-01-10 Wenkai Dai , Michael Dinitz , Klaus-Tycho Foerster , Long Luo , Stefan Schmid

We study nonlinear power systems consisting of generators, generator buses, and non-generator buses. First, looking at a generator and its bus' variables jointly, we introduce a synchronization concept for a pair of such joint generators…

Systems and Control · Computer Science 2018-03-02 Petar Mlinarić , Takayuki Ishizaki , Aranya Chakrabortty , Sara Grundel , Peter Benner , Jun-ichi Imura

Capacity expansions as well as its reduction have been widely anticipated as important countermeasures for traffic congestion. Although capacity expansion had been traditionally well noticed as a congestion mitigation measure, but it was…

Systems and Control · Computer Science 2018-02-07 Bahman Moghimi , Navid Kalantari , Camille Kamga , Kyriacos Mouskos

Power distribution networks are increasingly hosting controllable and flexible distributed energy resources (DERs) that, when aggregated, can provide ancillary support to transmission systems. However, existing aggregation schemes often…

Systems and Control · Electrical Eng. & Systems 2026-01-22 Hyeongon Park , Daniel K. Molzahn , Rahul K. Gupta

Worldwide commitments to net zero greenhouse emissions have accelerated investments in renewable energy resources. The requirements for operating and planning power systems are becoming stringent because of the need to take into account the…

Optimization and Control · Mathematics 2022-07-21 Aiusha Sangadiev , Alvaro Gonzalez-Castellanos , David Pozo

Power systems are globally experiencing an unprecedented growth in size and complexity due to the advent of nonconventional generation and consumption technologies. To navigate computational complexity, power system dynamic models are often…

Systems and Control · Electrical Eng. & Systems 2025-12-01 Yue Huang , Dixant B. Sapkota , Manish K. Singh

This paper studies a distributed continuous-time aggregative optimization problem, which is a fundamental problem in the price-based energy management. The objective of the distributed aggregative optimization is to minimize the sum of…

Optimization and Control · Mathematics 2023-09-26 Xin Cai , Feng Xiao , Bo Wei , Aiping Wang

We consider electricity capacity expansion models, which optimize investment and retirement decisions by minimizing both investment and operation costs. In order to provide credible support for planning and policy decisions, these models…

Optimization and Control · Mathematics 2025-01-08 Filippo Pecci , Jesse D. Jenkins

Enumeration algorithms have been one of recent hot topics in theoretical computer science. Different from other problems, enumeration has many interesting aspects, such as the computation time can be shorter than the total output size, by…

Data Structures and Algorithms · Computer Science 2014-07-16 Takeaki Uno

This work presents a general framework for the operationally driven optimal siting and sizing of battery energy storage systems in power transmission networks, aimed at enhancing their resource adequacy. The approach considers multi-period…

Systems and Control · Electrical Eng. & Systems 2026-03-05 Ginevra Larroux , Matthieu Jacobs , Keyu Jia , Fabrizio Sossan , Mario Paolone

The vast spatial dimension of modern interconnected electricity grids challenges the tractability of the DC optimal power flow problem. Grid aggregation methods try to overcome this challenge by reducing the number of network elements. Many…

Optimization and Control · Mathematics 2025-11-12 Benjamin Stöckl , Yannick Werner , Sonja Wogrin