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This paper extends the concepts of epsilon-optimal spaces and necessary conditions for near-optimality from single-objective to multi-objective optimisation. These notions are first presented for single-objective optimisation, and the…

Optimization and Control · Mathematics 2023-02-27 Antoine Dubois , Jonathan Dumas , Paolo Thiran , Gauthier Limpens , Damien Ernst

We suggest a new methodology for designing robust energy systems. For this, we investigate so-called near-optimal solutions to energy system optimisation models; solutions whose objective values deviate only marginally from the optimum.…

Optimization and Control · Mathematics 2023-01-05 Aleksander Grochowicz , Koen van Greevenbroek , Fred Espen Benth , Marianne Zeyringer

To achieve ambitious greenhouse gas emission reduction targets in time, the planning of future energy systems needs to accommodate societal preferences, e.g. low levels of acceptance for transmission expansion or onshore wind turbines, and…

Physics and Society · Physics 2025-10-30 Fabian Neumann , Tom Brown

In order to accommodate the increasing amounts of renewable generation in power distribution systems, system operators are facing the problem of how to upgrade transmission capacities. Since line and transformer upgrades are costly,…

Optimization and Control · Mathematics 2018-09-18 Sandro Merkli , Alexander Domahidi , Juan Jerez , Roy S. Smith

Cost optimal scenarios derived from models of a highly renewable electricity system depend on the specific input data, cost assumptions and system constraints. Here this influence is studied using a techno-economic optimisation model for a…

Physics and Society · Physics 2018-08-21 David P. Schlachtberger , Tom Brown , Mirko Schäfer , Stefan Schramm , Martin Greiner

Models for long-term investment planning of the power system typically return a single optimal solution per set of cost assumptions. However, typically there are many near-optimal alternatives that stand out due to other attractive…

Physics and Society · Physics 2020-09-25 Fabian Neumann , Tom Brown

The power system of the future will be governed by complex interactions and non-linear phenomena at small time-scales, that should be studied more and more through computationally expensive software simulations. To solve the abovementioned…

Systems and Control · Electrical Eng. & Systems 2025-02-26 Marius Kuhn , Evelyn Heylen , Willem Leterme

Power System Resource Planning is the recurrent process of studying and determining what facilities and procedures should be provided to satisfy and promote appropriate future demands for electricity. The electric power system as planned…

Systems and Control · Electrical Eng. & Systems 2024-01-24 Sohom Datta

The accurate representation of variable renewable generation (RES, e.g., wind, solar PV) assets in capacity expansion planning (CEP) studies is paramount to capture spatial and temporal correlations that may exist between sites and impact…

Systems and Control · Electrical Eng. & Systems 2021-04-14 David Radu , Antoine Dubois , Mathias Berger , Damien Ernst

Many optimization problems incorporate uncertainty affecting their parameters and thus their objective functions and constraints. As an example, in chance-constrained optimization the constraints need to be satisfied with a certain…

Systems and Control · Electrical Eng. & Systems 2020-01-09 Miguel Picallo , Florian Dörfler

This paper presents a framework for deriving the storage capacity that an electricity system requires in order to satisfy a chosen risk appetite. The framework takes as inputs user-defined event categories, parameterised by peak…

Optimization and Control · Mathematics 2020-12-02 Michael P. Evans , Simon H. Tindemans

With rising shares of renewables and the need to properly assess trade-offs between transmission, storage and sectoral integration as balancing options, building a bridge between energy system models and detailed power flow studies becomes…

Physics and Society · Physics 2022-04-29 Fabian Neumann , Veit Hagenmeyer , Tom Brown

We examine the problem of optimal transport capacity expansion planning for a gas pipeline network to service the growing demand of gas-fired power plants that are increasingly used to provide base load, flexibility, and reserve generation…

Optimization and Control · Mathematics 2021-01-27 Kaarthik Sundar , Sidhant Misra , Anatoly Zlotnik , Russell Bent

We present a method for solving a large-scale stochastic capacity expansion problem which explicitly considers reliability constraints, in particular constraints on expected energy not served. Our method tackles this problem by a Lagrange…

Systems and Control · Electrical Eng. & Systems 2025-01-30 Marilena Zampara , Daniel Ávila , Anthony Papavasiliou

As the world is transitioning towards highly renewable energy systems, advanced tools are needed to analyze such complex networks. Energy system design is, however, challenged by real-world objective functions consisting of a blurry mix of…

Computational Engineering, Finance, and Science · Computer Science 2021-06-30 Tim T. Pedersen , Marta Victoria , Morten G. Rasmussen , Gorm B. Andresen

Future greenhouse gas neutral energy systems will be dominated by renewable energy technologies providing variable supply subject to uncertain weather conditions. For this setting, we propose an algorithm for capacity expansion planning: We…

Optimization and Control · Mathematics 2026-03-02 Sebastian Kebrich , Felix Engelhardt , David Franzmann , Christina Büsing , Jochen Linßen , Heidi Heinrichs

Power systems modeling and planning has long leveraged mathematical programming for its ability to provide optimality and feasibility guarantees. One feature that has been recognized in the optimization literature since the 1970s is the…

Optimization and Control · Mathematics 2025-11-13 Matthew Viens , J. Kyle Skolfield , William E. Hart , Michael Ferris

In the wake of the highly electrified future ahead of us, the role of energy storage is crucial wherever distributed generation is abundant, such as in microgrid settings. Given the variety of storage options that are becoming more and more…

Machine Learning · Computer Science 2021-03-26 S. Tsianikas , N. Yousefi , J. Zhou , M. Rodgers , D. W. Coit

Considerable efforts were made in recent years in devising optimization algorithms for influence maximization in networks. Here we ask: "When do we need optimization?" We use results from statistical mechanics and direct simulations on ER…

Social and Information Networks · Computer Science 2018-11-13 Yoav Kolumbus , Sorin Solomon

When applying optimization method to a real-world problem, the possession of prior knowledge and preliminary analysis on the landscape of a global optimization problem can give us an insight into the complexity of the problem. This…

Neural and Evolutionary Computing · Computer Science 2017-07-11 Pramudita Satria Palar , Koji Shimoyama
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