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Optimal distribution of power among generating units to meet a specific demand subject to system constraints is an ongoing research topic in the power system community. The problem, even in a static setting, turns out to be hard to solve…

Optimization and Control · Mathematics 2014-07-17 Michael Azzam , S. Easter Selvan , Augustin Lefèvre , P. -A. Absil

This is a second part of the research on AC optimal power flow being used in the lower level of the bilevel strategic bidding or investment models. As an example of a suitable upper-level problem, we observe a strategic bidding of energy…

Systems and Control · Electrical Eng. & Systems 2022-07-05 Karlo Sepetanc , Hrvoje Pandzic , Tomislav Capuder

The general scheme of two-level parallelization (TLP) for direct simulation Monte Carlo of unsteady gas flows on shared memory multiprocessor computers has been described. The high efficient algorithm of parallel independent runs is used on…

Computational Engineering, Finance, and Science · Computer Science 2007-05-23 Alexander V. Bogdanov , Nick Yu. Bykov , Igor A. Grishin , Gregory O. Khanlarov , German A. Lukianov , Vladimir V. Zakharov

In this work, multi-step traffic predictions are leveraged to enable multi-period planning in reconfigurable optical networks. The proposed framework aims to achieve spectrum savings by adapting the network to predicted time-varying…

Networking and Internet Architecture · Computer Science 2026-05-26 Giannis Savva , Hafsa Maryam , Venkatesh Chebolu , Tania Panayiotou , Georgios Ellinas

We study the routing problem for vehicles with limited energy through a network of inhomogeneous charging nodes. This is substantially more complicated than the homogeneous node case studied in [1]. We seek to minimize the total elapsed…

Optimization and Control · Mathematics 2014-04-25 Sepideh Pourazarm , Christos G. Cassandras

For fast timescales or long prediction horizons, the AC optimal power flow (OPF) problem becomes a computational challenge for large-scale, realistic AC networks. To overcome this challenge, this paper presents a novel network reduction…

Systems and Control · Electrical Eng. & Systems 2022-09-21 Samuel Chevalier , Mads R. Almassalkhi

Unit Commitment (UC) and Optimal Power Flow (OPF) are two fundamental problems in short-term electric power systems planning that are traditionally solved sequentially. The state-of-the-art mostly uses a direct current flow approximation of…

Optimization and Control · Mathematics 2026-01-22 Deniz Tuncer , Burak Kocuk

Power system operators are increasingly deploying Variable Impedance Devices (VIDs), e.g., Smart Wires, and Network Topology Optimization (NTO) schemes for mitigating operational challenges such as line and transformer congestion, and…

Systems and Control · Electrical Eng. & Systems 2026-02-23 Junseon Park , Hyeongon Park , Rahul K. Gupta

Mixed integer linear programming (MILP) is a powerful tool for planning and control problems because of its modeling capability and the availability of good solvers. However, for large models, MILP methods suffer computationally. In this…

Robotics · Computer Science 2007-05-23 Matthew Earl , Raffaello D'Andrea

We introduce a new iterative method for computing solutions of elliptic equations with random rapidly oscillating coefficients. Similarly to a multigrid method, each step of the iteration involves different computations meant to address…

Numerical Analysis · Mathematics 2020-03-31 S. Armstrong , A. Hannukainen , T. Kuusi , J. -C. Mourrat

In transmission networks power flows and network topology are deeply intertwined due to power flow physics. Recent literature shows that specific network substructures named bridge-blocks prevent line failures from propagating globally. A…

Optimization and Control · Mathematics 2021-10-15 Leon Lan , Alessandro Zocca

We investigate load redistribution (LR) attacks on integrated electricity-gas systems (IEGSs) and proposes a bilevel mixed-integer model to identify the most severe LR attack from an economic perspective. Under a mild assumption, we prove…

Optimization and Control · Mathematics 2023-12-29 Rong-Peng Liu , Xiaozhe Wang , Bo Zeng , Rawad Zgheib

The massive integration of distributed energy resources changes the operational demands of the electric power distribution system, motivating optimization-based approaches. The added computational complexities of the resulting optimal power…

Optimization and Control · Mathematics 2023-07-04 Yunqi Luo , Rabayet Sadnan , Bala Krishnamoorthy , Anamika Dubey

The problem of joint power and sub-channel allocation to maximize energy efficiency (EE) and spectral efficiency (SE) simultaneously in in-band full-duplex (IBFD) orthogonal frequency-division multiple access (OFDMA) network is addressed…

Information Theory · Computer Science 2020-03-02 Ata Khalili , Sheyda Zarandi , Mehdi Rasti , Ekram Hossain

In this paper we address the challenge of designing optimal domestic renewable energy systems under multiple sources of uncertainty appearing at different time scales. Long-term uncertainties, such as investment and maintenance costs of…

Optimization and Control · Mathematics 2026-03-17 Giovanni Micheli , Laureano F. Escudero , Francesca Maggioni , Guzin Bayraksan

Facility and covering location models are key elements in many decision aid tools in logistics, supply chain design, telecommunications, public infrastructure planning, and many other industrial and public sectors. In many applications, it…

Optimization and Control · Mathematics 2019-09-12 Eduardo Álvarez-Miranda , Markus Sinnl

The optimal power flow (OPF) problem minimizes the operating cost of an electric power system. Applications of convex relaxation techniques to the non-convex OPF problem have been of recent interest, including work using the Lasserre…

Optimization and Control · Mathematics 2016-11-17 Daniel K. Molzahn , Cédric Josz , Ian A. Hiskens , Patrick Panciatici

Alternating-Current Optimal Power Flow (AC-OPF) is framed as a NP-hard non-convex optimization problem that solves for the most economical dispatch of grid generation given the AC-network and device constraints. Although there are no…

Optimization and Control · Mathematics 2023-08-29 Amritanshu Pandey , Aayushya Agarwal , Larry Pileggi

Optimizing the transient control of gas networks is a highly challenging task. The corresponding model incorporates the combinatorial complexity of determining the settings for the many active elements as well as the non-linear and…

Optimization and Control · Mathematics 2022-06-14 Felix Hennings , Kai Hoppmann-Baum , Janina Zittel

Security-constrained unit commitment with alternating current optimal power flow (SCUC-ACOPF) is a central problem in power grid operations that optimizes commitment and dispatch of generators under a physically accurate power transmission…

Optimization and Control · Mathematics 2025-05-12 Matthew Brun , Thomas Lee , Dirk Lauinger , Xin Chen , Xu Andy Sun