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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

We study the optimal power flow problem with switching (or, equivalently, the line expansion problem) under demand uncertainty. Specifically, we consider the line-use variables at the first stage and the current- or power-flow at the second…

Optimization and Control · Mathematics 2016-01-26 Jakub Marecek , Adam Ouorou , Guanglei Wang

The stable operation of gas networks is an important optimization target. While for this task commonly finite volume methods are used, we introduce a new finite difference approach. With a summation by part formulation for the spatial…

Numerical Analysis · Mathematics 2021-08-31 Sonja Hossbach , Mathias Lemke , Julius Reiss

The disturbances from variable and uncertain renewable generation propagate from power systems to natural gas networks, causing gas network operators to adjust gas supply nominations to ensure operational security. To alleviate expensive…

Optimization and Control · Mathematics 2022-07-12 Vladimir Dvorkin , Dharik Mallapragada , Audun Botterud , Jalal Kazempour , Pierre Pinson

The increase in renewable energy sources (RESs), like wind or solar power, results in growing uncertainty also in transmission grids. This affects grid stability through fluctuating energy supply and an increased probability of overloaded…

Systems and Control · Electrical Eng. & Systems 2022-04-13 Rebecca Bauer , Tillmann Mühlpfordt , Nicole Ludwig , Veit Hagenmeyer

The aim of this paper is a short survey of models and methods that developed by the authors. These models and methods are used to optimize general networks with nonlinear non-convex restrictions and objectives possessing mixed…

Optimization and Control · Mathematics 2019-11-12 Emmanuel M. Livshits , Leonid A. Ostromuhov

In this paper we study feasibility and infeasibility of nonlinear two-stage fully adjustable robust feasibility problems with an empty first stage. This is equivalent to deciding whether the uncertainty set is contained within the…

Optimization and Control · Mathematics 2018-08-31 Denis Aßmann , Frauke Liers , Michael Stingl , Juan C. Vera

We present a method for joint state and parameter estimation for natural gas networks where gas pressures and flows through a network of pipes depend on time-varying injections, withdrawals, and compression controls. The estimation is posed…

Systems and Control · Electrical Eng. & Systems 2019-12-13 Kaarthik Sundar , Anatoly Zlotnik

The majority of overland transport needs for crude petroleum and refined petroleum products are met using pipelines. Numerous studies have developed optimization methods for design of these systems in order to minimize construction costs…

Optimization and Control · Mathematics 2020-12-23 Elena Khlebnikova , Kaarthik Sundar , Anatoly Zlotnik , Russell Bent , Mary Ewers , Byron Tasseff

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

In electricity transmission networks, energy storage systems (ESS) provide a means of upgrade deferral by smoothing supply and matching demand. We develop a mixed integer programming (MIP) extension to the transmission network expansion…

Optimization and Control · Mathematics 2014-12-24 Cameron A. G. MacRae , Melih Ozlen , Andreas T. Ernst

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

A common problem in the optimization of structures is the handling of uncertainties in the parameters. If the parameters appear in the constraints, the uncertainties can lead to an infinite number of constraints. Usually the constraints…

Optimization and Control · Mathematics 2012-05-01 Daniel P. Mohr , Ina Stein , Thomas Matzies , Christina A. Knapek

Integrated electricity and gas systems are constructed to facilitate the gas-fired generation, and the distributed operation of these integrated systems have received much attention due to the increased emphasis on data security and privacy…

Optimization and Control · Mathematics 2025-05-13 Rong-Peng Liu , Wei Sun , Dali Zhou , Yunhe Hou

This research explores the joint expansion planning of power and water distribution networks, which exhibit interdependence at various levels. We specifically focus on the dependency arising from the power consumption of pumps and develop…

Optimization and Control · Mathematics 2023-12-19 Sai Krishna Kanth Hari , Ahmed Zamzam , Byron Tasseff , Russell Bent , Clayton Barrows

This work addresses the challenge of minimizing the energy consumption of a wireless communication network by joint optimization of the base station transmit power and the cell activity. A mixed-integer nonlinear optimization problem is…

Signal Processing · Electrical Eng. & Systems 2024-10-30 Florian Bahlke , Marius Pesavento

General Electric (GE) Gas Power, a leading manufacturer of gas and steam turbines, manufactures and installs these turbines in power generation plants worldwide. They source components for these turbines from suppliers globally and…

Optimization and Control · Mathematics 2023-08-11 Mustafa C. Camur , Srinivas Bollapragada , Aristotelis E. Thanos , Onur Dulgeroglu , Banu Gemici-Ozkan

Motivated by the increasing need to hedge against load and generation uncertainty in the operation of power grids, we propose flexibility maximization during operation. We consider flexibility explicitly as the amount of uncertainty that…

Optimization and Control · Mathematics 2025-01-27 Aron Zingler , Stephane Fliscounakis , Patrick Panciatici , Alexander Mitsos

Power-to-Gas (P2G) has been one of the most frequently discussed technologies in the last few years. This technology allows producing CO2 free fuels. Thanks to its high flexibility, it may offer services to the power system, fostering…

Systems and Control · Electrical Eng. & Systems 2022-02-18 Gabriele Fambri , Cesar Diaz-Londono , Andrea Mazza , Marco Badami , Robert Weiss

With the tremendous increase of the Internet traffic, achieving the best performance with limited resources is becoming an extremely urgent problem. In order to address this concern, in this paper, we build an optimization problem which…

Physics and Society · Physics 2017-02-23 Li Rui , Xia Yongxiang , Tse K Chi