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This paper proposes a new optimization model and solution method for determining optimal locations and sizing of renewable energy sources and hydrogen storage in a power network. We obtain these strategic decisions based on the multi-period…

Optimization and Control · Mathematics 2022-07-25 Sezen Ece Kayacık , Albert H. Schrotenboer , Evrim Ursavas , Iris F. A. Vis

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 uncertainty of multiple power loads and renewable energy generations (PLREG) in power systems increases the complexity of power flow analysis for decision-makers. The chance-constrained method can be applied to model the optimization…

Optimization and Control · Mathematics 2021-11-12 Ren Hu , Qifeng Li

This paper proposes a learning-based approach to accelerate the interior-point method (IPM) for solving optimal power flow (OPF) problems by learning the structure of the IPM central path from its early stable iterations. Unlike traditional…

Systems and Control · Electrical Eng. & Systems 2026-03-05 Farshad Amani , Amin Kargarian , Ramachandran Vaidyanathan

The trend in the electric power system is to move towards increased amounts of distributed resources which suggests a transition from the current highly centralized to a more distributed control structure. In this paper, we propose a method…

Optimization and Control · Mathematics 2014-10-17 Javad Mohammadi , Soummya Kar , Gabriela Hug

This paper presents an extensive multi-period optimal power flow framework, with new modelling elements, for smart LV distribution systems that rely on residential flexibility for combating operational issues. A detailed performance…

Systems and Control · Electrical Eng. & Systems 2021-02-26 Iason-Iraklis Avramidis , Florin Capitanescu , Geert Deconinck

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

Alternating current optimal power flow (AC-OPF) is one of the fundamental problems in power systems operation. AC-OPF is traditionally cast as a constrained optimization problem that seeks optimal generation set points whilst fulfilling a…

Machine Learning · Computer Science 2020-12-18 Henning Lange , Bingqing Chen , Mario Berges , Soummya Kar

Using deep neural networks to predict the solutions of AC optimal power flow (ACOPF) problems has been an active direction of research. However, because the ACOPF is nonconvex, it is difficult to construct a good data set that contains…

Systems and Control · Electrical Eng. & Systems 2021-10-06 Ling Zhang , Baosen Zhang

The multi-period dynamics of energy storage (ES), intermittent renewable generation and uncontrollable power loads, make the optimization of power system operation (PSO) challenging. A multi-period optimal PSO under uncertainty is…

Systems and Control · Electrical Eng. & Systems 2021-07-22 Ren Hu , Qifeng Li

This paper presents an adaptive stochastic spectral embedding (ASSE) method to solve the probabilistic AC optimal power flow (AC-OPF), a critical aspect of power system operation. The proposed method can efficiently and accurately estimate…

Systems and Control · Electrical Eng. & Systems 2024-01-22 Xiaoting Wang , Jingyu Liu , Xiaozhe Wang

Despite major advancements in nonlinear programming (NLP) and convex relaxations, most system operators around the world still predominantly use some form of linear programming (LP) approximation of the AC power flow equations. This is…

Optimization and Control · Mathematics 2021-07-19 Sleiman , Mhanna , Pierluigi , Mancarella

This paper proposes a Separable Projective Approximation Routine-Optimal Power Flow (SPAR-OPF) framework for solving two-stage stochastic optimization problems in power systems. The framework utilizes a separable piecewise linear…

Systems and Control · Electrical Eng. & Systems 2025-09-25 Shishir Lamichhane , Abodh Poudyal , Nicholas R. Jones , Bala Krishnamoorthy , Anamika Dubey

In this paper, we study efficient and robust computational methods for solving the security-constrained alternating current optimal power flow (SC-ACOPF) problem, a two-stage nonlinear optimization problem with disjunctive constraints, that…

Optimization and Control · Mathematics 2023-08-11 Amin Gholami , Kaizhao Sun , Shixuan Zhang , Xu Andy Sun

This paper presents a novel distributed approach for solving AC power flow (PF) problems. The optimization problem is reformulated into a distributed form using a communication structure corresponding to a hypergraph, by which complex…

Optimization and Control · Mathematics 2024-07-03 Xinliang Dai , Yingzhao Lian , Yuning Jiang , Colin N. Jones , Veit Hagenmeyer

This paper focuses on an AC optimal power flow (OPF) problem for distribution feeders equipped with controllable distributed energy resources (DERs). We consider a solution method that is based on a continuous approximation of the projected…

Optimization and Control · Mathematics 2026-02-26 Damola Ajeyemi , Yiting Chen , Antonin Colot , Jorge Cortes , Emiliano Dall'Anese

The energy transition is driving the integration of large shares of intermittent power sources in the electric power grid. Therefore, addressing the AC optimal power flow (AC-OPF) effectively becomes increasingly essential. The AC-OPF,…

Systems and Control · Electrical Eng. & Systems 2024-10-08 Anna Varbella , Damien Briens , Blazhe Gjorgiev , Giuseppe Alessio D'Inverno , Giovanni Sansavini

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

In this paper, we consider the scenario-based two-stage stochastic DC optimal power flow (OPF) problem for optimal and reliable dispatch when the load is facing uncertainty. Although this problem is a linear program, it remains…

Systems and Control · Electrical Eng. & Systems 2024-09-17 Ling Zhang , Daniel Tabas , Baosen Zhang

AC optimal power flow (AC-OPF) problems need to be solved more frequently in the future to maintain stable and economic power system operation. To tackle this challenge, a deep neural network-based voltage-constrained approach (DeepOPF-V)…

Systems and Control · Electrical Eng. & Systems 2021-07-20 Wanjun Huang , Xiang Pan , Minghua Chen , Steven H. Low