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As decarbonization agendas mature, macro-energy systems modelling studies have increasingly focused on enhanced decision support methods that move beyond least-cost modelling to improve consideration of additional objectives and tradeoffs.…

Optimization and Control · Mathematics 2024-11-26 Michael Lau , Neha Patankar , Jesse D. Jenkins

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

Given the urgent need to devise credible, deep strategies for carbon neutrality, approaches for `modelling to generate alternatives' (MGA) are gaining popularity in the energy sector. Yet, MGA faces limitations when applied to…

Physics and Society · Physics 2023-04-12 Francesco Lombardi , Bryn Pickering , Stefan Pfenninger

Contemporary macro energy systems modelling is characterized by the need to represent strategic and operational decisions with high temporal and spatial resolution and represent discrete investment and retirement decisions. This drive…

Optimization and Control · Mathematics 2025-10-31 Michael Lau , Filippo Pecci , Jesse D. Jenkins

Energy system optimization models (ESOMs) should be used in an interactive way to uncover knife-edge solutions, explore alternative system configurations, and suggest different ways to achieve policy objectives under conditions of deep…

Physics and Society · Physics 2019-12-10 Joseph F. DeCarolis , Samaneh Babaee , Binghui Li , Suyash Kanungo

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

The goal to decarbonize the energy sector has led to increased research in modeling and optimizing multi-energy systems. One of the most promising techniques for modeling (multi-)energy optimization problems is mixed-integer programming…

Optimization and Control · Mathematics 2025-05-21 Stephanie Riedmüller , Annika Buchholz , Janina Zittel

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

Optimization models are fundamental tools for providing quantitative insights to decision-makers. However, models, objectives, and constraints do not capture all real-world factors accurately. Thus, instead of the single optimal solution,…

Optimization and Control · Mathematics 2025-11-20 E. M. Turan , S. Moret , A. Bardow

Integrated assessment models (IAMs) are a central tool for the quantitative analysis of climate change mitigation strategies. However, due to their global, cross-sectoral and centennial scope, IAMs cannot explicitly represent the…

Multi-criteria decision-making (MCDM) problems involve the evaluation of alternatives based on various minimization and maximization criteria. Similarly, efficiency evaluation (EA) methods assess decision-making units (DMUs) by analyzing…

Optimization and Control · Mathematics 2024-06-11 Fuh-Hwa Franklin Liu , Su-Chuan Shih

Artificial Intelligence is increasingly pervasive across domains, with ever more complex models delivering impressive predictive performance. This fast technological advancement however comes at a concerning environmental cost, with…

Computers and Society · Computer Science 2025-09-25 Emilio Cruciani , Roberto Verdecchia

We introduce a new Adaptive Integration Approach (AIA) to be used in a wide range of molecular simulations. Given a simulation problem and a step size, the method automatically chooses the optimal scheme out of an available family of…

Numerical Analysis · Computer Science 2016-11-23 Mario Fernández-Pendás , Elena Akhmatskaya , J. M. Sanz-Serna

Decision support methods from operations research are widely used to support complex planning decisions. Within the energy sector, energy system models (ESMs) applying modelling to generate alternatives (MGA) generate large sets of…

General Economics · Economics 2026-05-25 Emily Bergup , Jonas Finke , Sebastian Schär , Valentin Bertsch

In designing stellarators, any design decision ultimately comes with a trade-off. Improvements in particle confinement, for instance, may increase the burden on engineers to build more complex coils, and the tightening of financial…

Plasma Physics · Physics 2023-04-19 David Bindel , Matt Landreman , Misha Padidar

Decarbonization provides new opportunities to plan energy systems for improved health, resilience, equity, and environmental outcomes, but challenges in siting and social acceptance of transition goals and targets threaten progress.…

Optimization and Control · Mathematics 2024-11-27 Michael Lau , Xin Wang , Neha Patankar , Jesse D. Jenkins

Modeling to generate alternatives (MGA) is an increasingly popular method in energy system optimization. MGA explores the near-optimal space, namely, system alternatives whose costs are within a certain fraction of the globally optimal…

Optimization and Control · Mathematics 2024-07-01 Christoph S. Funke , Linda Brodnicke , Francesco Lombardi , Giovanni Sansavini

Pathways that describe the optimal evolution of energy systems across multiple decades are important in energy system research and policy literature, with net-zero and similar climate policies being common drivers behind them. While there…

Physics and Society · Physics 2026-05-12 Ivan Ruiz Manuel , Meijun Chen , Francesco Lombardi , Stefan Pfenninger-Lee

We propose a new approach towards determining the distribution of mechanical and acoustic wave energy in complex built-up structures. The technique interpolates between standard Statistical Energy Analysis (SEA) and full ray tracing…

Chaotic Dynamics · Physics 2009-11-13 Gregor Tanner

Co-design plays a pivotal role in energy system planning as it allows for the holistic optimization of interconnected components, fostering efficiency, resilience, and sustainability by addressing complex interdependencies and trade-offs…

Systems and Control · Electrical Eng. & Systems 2024-08-22 Rounak Meyur , Tonya Martin , Sumit Purohit
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