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In integrated power and gas energy system optimization models (ESOMs), pipeline gas transmission with linepack is a particularly complex problem due to its non-linear and non-convex character. For ESOMs based on mixed-integer linear…

Computational Engineering, Finance, and Science · Computer Science 2024-10-28 T. Klatzer , S. Wogrin , D. A. Tejada-Arango , G. Morales-Espana

This paper surveys the primary computational hurdles of Energy Systems optimization coming from different sources: model-induced complexity, optimization algorithm requirements, and uncertainties handling (both aleatoric and epistemic).…

This work presents a novel, dimensionless model that results in a dimensionless algebraic equation that can be used to quantify the pressure drop associated with the steady state, isothermal flow through a straight, horizontal pipeline, of…

Fluid Dynamics · Physics 2024-10-29 Jeremy Conner , Vasilios I. Manousiouthakis

The construction of a cost minimal network for flows obeying physical laws is an important problem for the design of electricity, water, hydrogen, and natural gas infrastructures. We formulate this problem as a mixed-integer non-linear…

Optimization and Control · Mathematics 2025-03-31 Pascal Börner , Max Klimm , Annette Lutz , Marc E. Pfetsch , Martin Skutella , Lea Strubberg

Pipe flow models are developed with a focus on their eventual use for feedback control design at the process control level, as opposed to the unit level, in gas processing facilities. Accordingly, linearized facility-scale models are…

Systems and Control · Electrical Eng. & Systems 2022-11-16 Sven Brüggemann , Robert H. Moroto , Robert R. Bitmead

Capacity expansion models are frequently used to inform multi-billion dollar grid infrastructure decisions, a context in which there is significant uncertainty surrounding the future need for and performance of such infrastructure. However,…

Systems and Control · Electrical Eng. & Systems 2026-03-03 Gabriel Mantegna , Emil Dimanchev , Filippo Pecci , Neha Patankar , Jesse Jenkins

The growing reliance of electric power systems on gas-fired generation to balance intermittent sources of renewable energy has increased the variation and volume of flows through natural gas transmission pipelines. Adapting pipeline…

Optimization and Control · Mathematics 2015-11-25 Terrence W. K. Mak , Pascal Van Hentenryck , Anatoly Zlotnik , Hassan Hijazi , Russell Bent

The determination of environmentally- and economically-optimal energy system designs and operations is complex. In particular, the integration of weather-dependent renewable energy technologies into energy system optimization models…

Model-based reinforcement learning methods often use learning only for the purpose of estimating an approximate dynamics model, offloading the rest of the decision-making work to classical trajectory optimizers. While conceptually simple,…

Machine Learning · Computer Science 2022-12-22 Michael Janner , Yilun Du , Joshua B. Tenenbaum , Sergey Levine

Energy infrastructure planning under uncertainty has become increasingly complex as electrification, interdependence between energy carriers, decarbonization, and extreme weather events reshape long-term investment decisions. This paper…

Systems and Control · Electrical Eng. & Systems 2026-04-14 Rahman Khorramfar , Aron Brenner , Lara Booth , Ana Rivera , Ruaridh Macdonald , Priya Donti , Saurabh Amin

The development of energy conversion techniques enhances the coupling between the gas network and power system. However, challenges remain in the joint optimal dispatch of electricity-gas systems. The dynamic model of the gas network,…

Systems and Control · Electrical Eng. & Systems 2023-07-25 Siyuan Wang , Wenchuan Wu , Chenhui Lin , Binbin Chen

The study aims to decrease gas loss and enhance system reliability during gas pipeline accidents. A computational scheme has been developed that can enable the elimination of gas leakage through the modeling and management of parallel gas…

Optimization and Control · Mathematics 2025-04-15 Ilgar Aliyev

The sustainable utilization of hydro energy relies on accurate estimates of the opportunity cost of the water. This value is calculated through long-term hydrothermal dispatch problems (LTHDP), and the recent literature has raised awareness…

Optimization and Control · Mathematics 2022-12-21 Andrew W. Rosemberg , Alexandre Street , Joaquim Dias Garcia , Davi M. Valladão , Thuener Silva , Oscar Dowson

Expansion of natural gas networks is a critical process involving substantial capital expenditures with complex decision-support requirements. Given the non-convex nature of gas transmission constraints, global optimality and infeasibility…

Computational Engineering, Finance, and Science · Computer Science 2015-06-25 Conrado Borraz-Sanchez , Russell Bent , Scott Backhaus , Hassan Hijazi , Pascal Van Hentenryck

The growing coupling among electricity, gas, and hydrogen systems is driven by green hydrogen blending into existing natural gas pipelines, paving the way toward a renewable-dominated energy future. However, the integration poses…

Systems and Control · Electrical Eng. & Systems 2025-10-23 Wenxin Liu , Jiakun Fang , Shichang Cui , Zhiyao Zhong , Iskandar Abdullaev , Suyang Zhou , Xiaomeng Ai , Jinyu Wen

We consider the simulation of barotropic flow of gas in long pipes and pipe networks. Based on a Hamiltonian reformulation of the governing system, a fully discrete approximation scheme is proposed using mixed finite elements in space and…

Numerical Analysis · Mathematics 2023-03-01 H. Egger , J. Giesselmann , T. Kunkel , N. Philippi

A fully adaptive methodology is developed for reducing the complexity of large dissipative systems. This represents a significant step towards extracting essential physical knowledge from complex systems, by addressing the challenging…

Statistical Mechanics · Physics 2025-10-01 Eliodoro Chiavazzo , Ilya Karlin

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

We introduce a tool for simulation and optimization of gas pipeline networks coupled to power grids by gas-to-power plants. The model under consideration consists of the isentropic Euler equations to describe the gas flow coupled to the AC…

Optimization and Control · Mathematics 2019-03-25 Eike Fokken , Simone Göttlich , Oliver Kolb

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