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Probabilistic optimal power flow (POPF) is an important analytical tool to ensure the secure and economic operation of power systems. POPF needs to solve enormous nonlinear and nonconvex optimization problems. The huge computational burden…

Signal Processing · Electrical Eng. & Systems 2019-06-25 Yan Yang , Juan Yu , Zhifang Yang , Mingxu Xiang , Ren Liu

We present a solution of sparse alternating current optimal power flow (ACOPF) analysis on graphical processing unit (GPU). In particular, we discuss the performance bottlenecks and detail our efforts to accelerate the linear solver, a core…

Computational Engineering, Finance, and Science · Computer Science 2023-08-21 Kasia Swirydowicz , Nicholson Koukpaizan , Shrirang Abhyankar , Slaven Peles

The AC Optimal Power Flow (AC-OPF) is a key building block in many power system applications. It determines generator setpoints at minimal cost that meet the power demands while satisfying the underlying physical and operational…

Signal Processing · Electrical Eng. & Systems 2020-07-01 Minas Chatzos , Ferdinando Fioretto , Terrence W. K. Mak , Pascal Van Hentenryck

In this letter, we present an alternative mixed-integer non-liner programming formulation of the reactive optimal power flow (ROPF) problem. We utilize a mixed-integer second-order cone programming (MISOCP) based approach to find global…

Optimization and Control · Mathematics 2021-03-12 Sezen Ece Kayacık , Burak Kocuk

DC power flow approximations are ubiquitous in the electricity industry. However, these linear approximations fail to capture important physical aspects of power flow, such as the reactive power and voltage magnitude, which are crucial in…

Optimization and Control · Mathematics 2016-03-16 Sleiman Mhanna , Gregor Verbic , Archie Chapman

The highly non-convex AC optimal power flow problem is known to scale very poorly with respect to the number of lines and buses. To achieve improved computational speed and scalability, we apply a distributed optimization algorithm, the…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-11-27 Alexander Murray , Michael Kyesswa , Philipp Schmurr , Hüseyin K Çakmak , Veit Hagenmeyer

A two-stage solution approach for solving the problem of multi-objective optimal power flow (MOPF) is proposed for hybrid AC/DC grids with VSC-HVDC. First, a MOPF model for hybrid AC/DC grids is built to coordinate the economy, voltage…

Optimization and Control · Mathematics 2018-08-21 Yang Li , Yahui Li , Guoqing Li , Dongbo Zhao , Chen Chen

The Optimal Power Shutoff (OPS) problem is an optimization problem that makes power line de-energization decisions in order to reduce the risk of igniting a wildfire, while minimizing the load shed of customers. This problem, with DC linear…

Optimization and Control · Mathematics 2024-03-27 Eric Haag , Noah Rhodes , Line Roald

This paper proposes a simple and flexible storage model for use in a variety of multi-period optimal power flow problems. The proposed model is designed for research use in a broad assortment of contexts enabled by the following key…

Systems and Control · Electrical Eng. & Systems 2020-05-01 Frederik Geth , Carleton Coffrin , David M Fobes

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

Optimal power flow (OPF) is a very fundamental but vital optimization problem in the power system, which aims at solving a specific objective function (ex.: generator costs) while maintaining the system in the stable and safe operations. In…

Systems and Control · Electrical Eng. & Systems 2020-04-09 Yuhao Zhou , Bei Zhang , Chunlei Xu , Tu Lan , Ruisheng Diao , Di Shi , Zhiwei Wang , Wei-Jen Lee

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

With the growing integration of modular multilevel converters (MMCs) in Multi-Terminal Direct Current (MTDC) transmission systems, there is an increasing need for control strategies that ensure both economic efficiency and robust dynamic…

Systems and Control · Electrical Eng. & Systems 2025-05-07 Hongjin Du , Tuanku Badzlin Hashfi , Rashmi Prasad , Pedro P. Vergara , Peter Palensky , Aleksandra Lekić

Optimizing operational set points for modular multilevel converters (MMCs) in Multi-Terminal Direct Current (MTDC) transmission systems is crucial for ensuring efficient power distribution and control. This paper presents an enhanced…

Systems and Control · Electrical Eng. & Systems 2025-05-07 Hongjin Du , Rashmi Prasad , Aleksandra Lekic , Pedro P. Vergara , Peter Palensky

Optimal Power Flow (OPF) is a core optimization problem in power system operation and planning, aiming to minimize generation costs while satisfying physical constraints such as power flow equations, generator limits, and voltage limits.…

Machine Learning · Computer Science 2025-12-02 Xuezhi Liu

The Alternating Current Optimal Power Flow (ACOPF) problem is a core task in power system operations, aimed at determining cost-effective generation dispatch while satisfying physical and operational constraints. However, conventional ACOPF…

Optimization and Control · Mathematics 2026-05-15 Vincenzo Di Vito , Kaarthik Sundar , Ferdinando Fioretto , Deepjyoti Deka

In this paper, we develop semidefinite programming (SDP) models aimed at solving optimal power flow (OPF) problems in distribution systems. We propose two models: the symmetrical SDP model which modifies the existing BFM-SDP model. Then…

Optimization and Control · Mathematics 2017-12-27 Zeyu Wang , Daniel S. Kirschen , Baosen Zhang

We propose a generic multistage stochastic model for the Alternating Current Optimal Power Flow (AC OPF) problem for radial distribution networks, to account for the random electricity production of renewable energy sources and dynamic…

Optimization and Control · Mathematics 2021-11-19 Maxime Grangereau , Wim van Ackooij , Stéphane Gaubert

The increasing penetration of distributed energy resources (DERs) adds variability as well as fast control capabilities to power networks. Dispatching the DERs based on local information to provide real-time optimal network operation is the…

Optimization and Control · Mathematics 2025-02-24 Heng Liang , Yujin Huang , Changhong Zhao

The Optimal Power Flow (OPF) problem is pivotal for power system operations, guiding generator output and power distribution to meet demand at minimized costs, while adhering to physical and engineering constraints. The integration of…

Machine Learning · Computer Science 2023-11-27 Chen Li , Alexander Kies , Kai Zhou , Markus Schlott , Omar El Sayed , Mariia Bilousova , Horst Stoecker
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