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We propose a GPU-based distributed optimization algorithm, aimed at controlling optimal power flow in multi-phase and unbalanced distribution systems. Typically, conventional distributed optimization algorithms employed in such scenarios…

Optimization and Control · Mathematics 2023-10-17 Minseok Ryu , Geunyeong Byeon , Kibaek Kim

This paper considers the problem of controlling inverter-interfaced distributed energy resources (DERs) in a distribution grid to solve an AC optimal power flow (OPF) problem in real time. The AC OPF includes voltage constraints, and seeks…

Systems and Control · Electrical Eng. & Systems 2024-09-16 Antonin Colot , Yiting Chen , Bertrand Cornelusse , Jorge Cortes , Emiliano Dall'Anese

The classical optimal power flow problem optimizes the power flow in a power network considering the associated flow and operating constraints. In this paper, we investigate optimal power flow in the context of utility-maximizing demand…

Data Structures and Algorithms · Computer Science 2018-03-22 Majid Khonji , Chi-Kin Chau , Khaled Elbassioni

Deregulated energy markets, demand forecasting, and the continuously increasing share of renewable energy sources call---among others---for a structured consideration of uncertainties in optimal power flow problems. The main challenge is to…

Optimization and Control · Mathematics 2018-08-24 Tillmann Mühlpfordt , Timm Faulwasser , Veit Hagenmeyer

We consider the problem of deriving an explicit approximate solution of the nonlinear power equations that describe a balanced power distribution network. We give sufficient conditions for the existence of a practical solution to the power…

Optimization and Control · Mathematics 2019-07-09 Saverio Bolognani , Sandro Zampieri

Wholesale power markets often use linear approximations of power system constraints. Because it does not consider inequality constraints, using AC power flow for feasibility post-processing can violate bounds on reactive power, voltage…

Systems and Control · Electrical Eng. & Systems 2025-11-13 Anna Van Boven , Kyri Baker

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

This paper presents a cold-start linear branch flow model named modified DistFlow. In modified DistFlow, the active and reactive power are replaced by their ratios to voltage magnitude as state variables, so that errors introduced by…

Systems and Control · Electrical Eng. & Systems 2020-11-30 Tianshu Yang , Ye Guo , Lirong Deng , Hongbin Sun , Wenchuan Wu

This paper introduces a distributed operational solution for coordinating integrated transmission-distribution (ITD) systems regarding data privacy. To tackle the nonconvex challenges of AC optimal power flow (OPF) problems, our research…

Systems and Control · Electrical Eng. & Systems 2024-02-01 Xinliang Dai , Junyi Zhai , Yuning Jiang , Yi Guo , Colin N. Jones , Veit Hagenmeyer

The design of grid-connected distributed energy systems (DES) has been investigated extensively as an optimisation problem in the past, but most studies do not include nonlinear constraints associated with unbalanced alternating current…

Optimization and Control · Mathematics 2022-04-28 Ishanki De Mel , Oleksiy V. Klymenko , Michael Short

Robust simulation is essential for reliable operation and planning of transmission and distribution power grids. At present, disparate methods exist for steady-state analysis of the transmission (power flow) and distribution power grid…

Signal Processing · Electrical Eng. & Systems 2018-08-10 Amritanshu Pandey , Marko Jereminov , Martin R. Wagner , David M. Bromberg , Gabriela Hug , Larry Pileggi

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

Systems and Control · Electrical Eng. & Systems 2022-12-07 Rebecca Bauer , Tillmann Mühlpfordt , Nicole Ludwig , Veit Hagenmeyer

One of the most complicating factors in decentralized optimization for power systems is the modeling of power flow equations. Existing formulations for DC power flows either have limited scalability or are very dense and unstructured,…

Optimization and Control · Mathematics 2021-03-16 Alinson S. Xavier , Feng Qiu , Santanu S. Dey

The increasing share of renewable energy sources on distribution grid level as well as the emerging active role of prosumers lead to both higher distribution grid utilization, and at the same time greater unpredictability of energy…

Signal Processing · Electrical Eng. & Systems 2023-03-10 Hüseyin K. Çakmak , Luc Janecke , Veit Hagenmeyer

Many practical planning and operational applications in power systems require simultaneous consideration of a large number of operating conditions or Multi-Scenario AC-Optimal Power Flow (MS-AC-OPF) solution. However, when the number of…

Optimization and Control · Mathematics 2019-05-28 Vladimir Frolov , Line Roald , Michael Chertkov

Managing power grids with the increasing presence of variable renewable energy-based (distributed) generation involves solving high-dimensional optimization tasks at short intervals. Linearizing the AC power flow (PF) constraints is a…

Optimization and Control · Mathematics 2025-09-09 Yuhao Chen , Manish K. Singh

The large penetration of distributed generations impacts both the secondary low-voltage (LV) and the primary medium-voltage (MV) segments of the distribution network. Optimizing power flow calculations for the integrated MV/LV networks is…

Systems and Control · Electrical Eng. & Systems 2025-11-24 Abduljalil S. Aljadani , Firdous U. Nazir , Bikash C. Pal , Izudin Džafić , Rabih A. Jabr

The rise of advanced data technologies in electric power distribution systems enables operators to optimize operations but raises concerns about data security and consumer privacy. Resulting data protection mechanisms that alter or…

Optimization and Control · Mathematics 2024-10-17 Mehrnoush Ghazanfariharandi , Robert Mieth

We present a massively parallel solver that accelerates DC loadflow computations for power grid topology optimization tasks. Our approach leverages low-rank updates of the Power Transfer Distribution Factors (PTDFs) to represent substation…

Systems and Control · Electrical Eng. & Systems 2025-01-30 Nico Westerbeck , Joost van Dijk , Jan Viebahn , Christian Merz , Dirk Witthaut

The increasing decentralization of power systems driven by a large number of renewable energy sources poses challenges in power flow optimization. Partially unknown power line properties can render model-based approaches unsuitable. With…

Systems and Control · Electrical Eng. & Systems 2025-09-30 Sebastian Otzen , Hannes M. H. Wolf , Christian A. Hans