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Energy system models are challenged by the need for high temporal and spatial resolutions in or-der to appropriately depict the increasing share of intermittent renewable energy sources, storage technologies, and the growing…

Optimization and Control · Mathematics 2021-04-02 Maximilian Hoffmann , Jan Priesmann , Lars Nolting , Aaron Praktiknjo , Leander Kotzur , Detlef Stolten

Simulating energy systems is vital for energy planning to understand the effects of fluctuating renewable energy sources and integration of multiple energy sectors. Capacity expansion is a powerful tool for energy analysts and consists of…

Systems and Control · Electrical Eng. & Systems 2020-12-21 Mette Gamst , Stefanie Buchholz , David Pisinger

Modelling renewable energy systems is a computationally-demanding task due to the high fluctuation of supply and demand time series. To reduce the scale of these, this paper discusses different methods for their aggregation into typical…

Optimization and Control · Mathematics 2017-12-04 Leander Kotzur , Peter Markewitz , Martin Robinius , Detlef Stolten

Energy system optimization models are becoming increasingly popular for analyzing energy markets, such as the impact of new policies or interactions between energy carriers. One key challenge of these models is the trade-off between…

Optimization and Control · Mathematics 2025-08-26 Beltrán Castro Gómez , Yannick Werner , Sonja Wogrin

Intermittent renewable energy resources like wind and solar pose great uncertainty of multiple time scales, from minutes to years, on the design and operation of power systems. Energy system optimization models have been developed to find…

Optimization and Control · Mathematics 2022-04-27 Yuheng Zhang , Vivian Cheng , Dharik S. Mallapragada , Jie Song , Guannan He

The growing share of renewable energy makes the optimization of power flows in power system models computationally more complicated, due to the widely distributed weather-dependent electricity generation. This article evaluates two methods…

Systems and Control · Electrical Eng. & Systems 2020-02-26 Oriol Raventós , Julian Bartels

Time series aggregation (TSA) aims to construct temporally aggregated optimization models that accurately represent the output space of their full-scale counterparts while using a significantly reduced temporal dimensionality. This paper…

Optimization and Control · Mathematics 2026-03-16 Thomas Klatzer , David Cardona-Vasquez , Luca Santosuosso , Sonja Wogrin

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

The optimization-based design of renewable energy systems is a computationally demanding task because of the high temporal fluctuation of supply and demand time series. In order to reduce these time series, the aggregation of typical…

Optimization and Control · Mathematics 2018-02-01 Leander Kotzur , Peter Markewitz , Martin Robinius , Detlef Stolten

In statistical decision theory, a model is said to be Pareto optimal (or admissible) if no other model carries less risk for at least one state of nature while presenting no more risk for others. How can you rationally aggregate/combine a…

Theoretical Economics · Economics 2021-12-13 Hamed Hamze Bajgiran , Houman Owhadi

Power system optimization models are large mathematical models used by researchers and policymakers that pose tractability issues when representing real-world systems. Several aggregation techniques have been proposed to address these…

Optimization and Control · Mathematics 2023-10-31 David Cardona-Vasquez , Thomas Klatzer , Sonja Wogrin

This paper considers the representation of energy storage in electricity sector capacity planning models. The incorporation of storage in long-term systems models of this type is increasingly relevant as the cost of storage technologies,…

Optimization and Control · Mathematics 2021-06-01 James H. Merrick , John E. T. Bistline , Geoffrey J. Blanford

To account for volatile renewable energy supply, energy systems optimization problems require high temporal resolution. Many models use time-series clustering to find representative periods to reduce the amount of time-series input data and…

Data center providers seek to minimize their total cost of ownership (TCO), while power consumption has become a social concern. We present formulations to minimize server energy consumption and server cost under three different data center…

Distributed, Parallel, and Cluster Computing · Computer Science 2013-09-17 Haiyang Qian , Fu Li , Ravishankar Ravindran , Deep Medhi

Scheduling the power exchange between a population of heterogeneous distributed energy resources and the corresponding upper-level system is an important control problem in power systems. A key challenge is the large number of (partially…

Systems and Control · Electrical Eng. & Systems 2024-09-23 Riccardo Remo Appino , Veit Hagenmeyer , Timm Faulwasser

Effective investment planning decisions are crucial to ensure cyber-physical infrastructures satisfy performance requirements over an extended time horizon. Computing these decisions often requires solving Capacity Expansion Problems…

Machine Learning · Computer Science 2023-03-23 Aron Brenner , Rahman Khorramfar , Saurabh Amin

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

As a consequence of the high variability of load demand and renewable generation, long-term and high-resolution inputs are required for power system expansion planning, making the problem intractable in real-world applications. Time series…

Optimization and Control · Mathematics 2025-10-29 Ruiqi Zhang , Ensieh Sharifnia , Simon H. Tindemans

The short-term operation of a power system is usually planned by solving a day-ahead unit commitment problem. Due to historical reasons, the commitment of the power generating units is decided over a time horizon typically consisting of the…

Optimization and Control · Mathematics 2019-03-12 Salvador Pineda , Ricardo Fernandez-Blanco , Juan Miguel Morales

Designing an optimal energy system with large shares of renewable energy sources is computationally challenging. Considering greater spatial horizon and level of detail, during the design, exacerbates this challenge. This paper investigates…

Optimization and Control · Mathematics 2021-11-24 Shruthi Patil , Leander Kotzur , Detlef Stolten
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