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In light of the increasing coupling between electricity and gas networks, this paper introduces two novel iterative methods for efficiently solving the multiperiod optimal electricity and gas flow (MOEGF) problem. The first is an iterative…

Optimization and Control · Mathematics 2021-06-28 Sleiman Mhanna , Isam Saedi , Pierluigi Mancarella

The alternating current optimal power flow (AC-OPF) problem is critical to power system operations and planning, but it is generally hard to solve due to its nonconvex and large-scale nature. This paper proposes a scalable decomposition…

Optimization and Control · Mathematics 2020-06-12 Shenyinying Tu , Andreas Waechter , Ermin Wei

Convex relaxations of the AC Optimal Power Flow (OPF) problem are essential not only for identifying the globally optimal solution but also for enabling the use of OPF formulations in Bilevel Programming and Mathematical Programs with…

Optimization and Control · Mathematics 2020-06-23 Lucien Bobo , Andreas Venzke , Spyros Chatzivasileiadis

Power system networks are often modeled as homogeneous graphs, which limits the ability of graph neural network (GNN) to capture individual generator features at the same nodes. By introducing the proposed virtual node-splitting strategy,…

Systems and Control · Electrical Eng. & Systems 2025-07-22 Thuan Pham , Xingpeng Li

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

Modern transmission network expansion planning (TNEP) is carried out with AC network model, which is able to handle voltage and voltage stability constraints. However, such a model requires optimization with iterative AC power flow model,…

Optimization and Control · Mathematics 2019-04-10 Soumya Das , Ashu Verma , P. R. Bijwe

In this paper, we present an optimization algorithm based on an alternating projection method to solve the large-scale security constraint optimal power flow (SCOPF) problem in power systems. The SCOPF is first partitioned into…

Optimization and Control · Mathematics 2019-07-09 Tuyen Vu

High penetration of renewable energy sources and the increasing share of stochastic loads require the explicit representation of uncertainty in tools such as the optimal power flow (OPF). Current approaches follow either a linearized…

Systems and Control · Computer Science 2020-07-24 Andreas Venzke , Lejla Halilbasic , Uros Markovic , Gabriela Hug , Spyros Chatzivasileiadis

Optimal power flow (OPF) is considered for microgrids, with the objective of minimizing either the power distribution losses, or, the cost of power drawn from the substation and supplied by distributed generation (DG) units, while effecting…

Optimization and Control · Mathematics 2016-11-17 Emiliano Dall'Anese , Hao Zhu , Georgios B. Giannakis

A new probabilistic methodology for transmission expansion planning (TEP) that does not require a priori specification of new/additional transmission capacities and uses the concept of social welfare has been proposed. Two new concepts have…

Artificial Intelligence · Computer Science 2012-03-13 Neeraj Gupta , Rajiv Shekhar , Prem Kumar Kalra

In this paper, a dynamic (i.e. multi-year) hybrid model is presented for Transmission Expansion Planning (TEP) utilizing the High Voltage Alternating Current (HVAC) and multiterminal Voltage Sourced Converter (VSC)-based High Voltage Direct…

Systems and Control · Electrical Eng. & Systems 2023-10-10 Mojtaba Moradi-Sepahvand , Turaj Amraee

Designing robust algorithms for the optimal power flow (OPF) problem is critical for the control of large-scale power systems under uncertainty. The chance-constrained OPF (CCOPF) problem provides a natural formulation of the trade-off…

Optimization and Control · Mathematics 2025-01-23 Eli Brock , Haixiang Zhang , Javad Lavaei , Somayeh Sojoudi

We derive the branch ampacity constraint associated to power losses for the convex optimal power flow (OPF) model based on the branch flow formulation. The branch ampacity constraint derivation is motivated by the physical interpretation of…

Optimization and Control · Mathematics 2020-05-14 Zhao Yuan , Mario Paolone

The alternating current optimal power flow (ACOPF) problem is central to modern power system operations, determining how electricity is generated and transmitted to maximize social welfare while respecting physical and operational…

Optimization and Control · Mathematics 2026-02-17 Ata Keskin

Optimal power flow (OPF) is the central optimization problem in electric power grids. Although solved routinely in the course of power grid operations, it is known to be strongly NP-hard in general, and weakly NP-hard over tree networks. In…

Systems and Control · Computer Science 2016-06-22 Krishnamurthy Dvijotham , Pascal Van Hentenryck , Michael Chertkov , Sidhant Misra , Marc Vuffray

The optimal reactive power dispatch (ORPD) problem is an alternating current optimal power flow (ACOPF) problem where discrete control devices for regulating the reactive power, such as shunt elements and tap changers, are considered. The…

Optimization and Control · Mathematics 2019-12-30 Christian Bingane , Miguel F. Anjos , Sébastien Le Digabel

Optimal power flow (OPF) problem is a class of large-scale and non-convex optimization problem. Various algorithms are proposed to solve the challenging OPF problem. Recent studies show that semidefinite programming (SDP) can either provide…

Optimization and Control · Mathematics 2018-02-09 Chin-Yao Chang , Wei Zhang

Solving the non-convex optimal power flow (OPF) problem for large-scale power distribution systems is computationally expensive. An alternative is to solve the relaxed convex problem or linear approximated problem, but these methods lead to…

Systems and Control · Electrical Eng. & Systems 2022-11-09 Rabayet Sadnan , Anamika Dubey

Optimal power flow (OPF) is the fundamental mathematical model in power system operations. Improving the solution quality of OPF provide huge economic and engineering benefits. The convex reformulation of the original nonconvex alternating…

Optimization and Control · Mathematics 2021-09-02 Zhao Yuan

This is the second part of a two-part paper on data-based distributionally robust stochastic optimal power flow (OPF). The general problem formulation and methodology have been presented in Part I [1]. Here, we present extensive numerical…

Optimization and Control · Mathematics 2018-10-29 Yi Guo , Kyri Baker , Emiliano Dall'Anese , Zechun Hu , Tyler H. Summers