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Probabilistic power flow (PPF) is essential for quantifying operational uncertainty in modern distribution systems with high penetration of renewable generation and flexible loads. Conventional PPF methods primarily rely on Monte Carlo (MC)…

Systems and Control · Electrical Eng. & Systems 2026-04-02 Weijie Xia , James Ciyu Qin , Edgar Mauricio Salazar Duque , Hongjin Du , Peter Palensky , Giovanni Sansavini , Pedro P. Vergara

This paper introduces a novel distributed optimization framework for large-scale AC Optimal Power Flow (OPF) problems, offering both theoretical convergence guarantees and rapid convergence in practice. By integrating smoothing techniques…

Optimization and Control · Mathematics 2026-03-04 Xinliang Dai , Yuning Jiang , Yi Guo , Colin N. Jones , Moritz Diehl , Veit Hagenmeyer

Power systems often include a specific set of lines that are crucial for the regular operations of the grid. Identifying the reasons behind the criticality of these lines is an important challenge in power system studies. When a line fails,…

Optimization and Control · Mathematics 2023-07-06 Nafis Sadik , Mohammad Rasoul Narimani

Power distribution grids with high PV generation are exposed to voltage disturbances due to the unpredictable nature of renewable resources. Smart PV inverters, if controlled in coordination with each other and continuously adapted to the…

Systems and Control · Electrical Eng. & Systems 2020-07-07 Cristian Cortés , Hamed Valizadeh Haghi , Changfu Li , Jan Kleissl

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

This paper presents a method for predictive aggregation of the available flexibility at the residential unit level into a flexibility chart that represents the admissible active and reactive powers, along with the associated flexibility…

Systems and Control · Electrical Eng. & Systems 2026-03-12 Clément Moureau , Thomas Stegen , Mevludin Glavic , Bertrand Cornélusse

Existing algorithms to solve alternating-current optimal power flow (AC-OPF) often exploit linear approximations to simplify system models and accelerate computations. In this paper, we improve a recent hierarchical OPF algorithm, which…

Optimization and Control · Mathematics 2023-02-09 Heng Liang , Xinyang Zhou , Changhong Zhao

Power distribution systems are experiencing a large-scale integration of Converter-Interfaced Distributed Energy Resources (CIDERs). This complicates the analysis and mitigation of harmonics, whose creation and propagation are facilitated…

Systems and Control · Electrical Eng. & Systems 2021-11-02 Andreas Martin Kettner , Lorenzo Reyes-Chamorro , Johanna Kristin Maria Becker , Zhixiang Zou , Marco Liserre , Mario Paolone

The future power grid may rely on distributed optimization to determine the set-points for huge numbers of distributed energy resources. There has been significant work on applying distributed algorithms to optimal power flow (OPF)…

Systems and Control · Electrical Eng. & Systems 2023-11-15 Rachel Harris , Mohannad Alkhraijah , Daniel K. Molzahn

Unveiling feeder topologies from data is of paramount importance to advance situational awareness and proper utilization of smart resources in power distribution grids. This tutorial summarizes, contrasts, and establishes useful links…

Optimization and Control · Mathematics 2023-05-01 Deepjyoti Deka , Vassilis Kekatos , Guido Cavraro

The optimal power flow (OPF) problem is fundamental in power system operations and planning. Large-scale renewable penetration in distribution networks calls for real-time feedback control, and hence the need for fast and distributed…

Optimization and Control · Mathematics 2016-05-19 Qiuyu Peng , Steven H. Low

The increasing penetration of intermittent distributed energy resources in power networks calls for novel planning and control methodologies which hinge on detailed knowledge of the grid. However, reliable information concerning the system…

Systems and Control · Electrical Eng. & Systems 2021-09-21 Emanuele Fabbiani , Pulkit Nahata , Giuseppe De Nicolao , Giancarlo Ferrari-Trecate

The share of electronically converted power from renewable sources, loads, and storage is continuously growing in the low- and medium-voltage grids. These sources and loads typically rectify the grid AC to DC, e.g., for a DC link, so that a…

Systems and Control · Electrical Eng. & Systems 2025-11-11 Ehsan Asadi , Davood Keshavarzi , Alexander Koehler , Nima Tashakor , Stefan Goetz

With the proliferation of distributed generation into distribution networks, the need to consider fault currents in the dispatch problem becomes increasingly relevant. This paper introduces a method for adding fault current constraints into…

Systems and Control · Electrical Eng. & Systems 2023-01-31 Jose E. Tabarez , Arthur K. Barnes , Adam Mate , Russell W. Bent

Robust dynamic operating envelopes (RDOEs) solve the problem of secure allocation of latent network capacity to flexible distributed energy resources (DER) in unbalanced distribution networks. As the computational complexity of RDOEs is…

Optimization and Control · Mathematics 2024-07-25 Bin Liu , Julio H. Braslavsky

Effective power flow (PF) modeling critically affects the solution accuracy and computational complexity of large-scale grid optimization problems. Especially for grid optimization involving flexible topology to enhance resilience,…

Systems and Control · Electrical Eng. & Systems 2025-03-27 Young-ho Cho , Hao Zhu

Networks with phase-valued nodal variables are central in modeling several important societal and physical systems, including power grids, biological systems, and coupled oscillator networks. One of the distinctive features of phase-valued…

Optimization and Control · Mathematics 2020-09-15 Saber Jafarpour , Elizabeth Y. Huang , Kevin D. Smith , Francesco Bullo

Photovoltaic (PV) smart inverters can improve the voltage profile of distribution networks. A multi-objective optimization framework for coordination of reactive power injection of smart inverters and tap operations of on-load tap changers…

Systems and Control · Electrical Eng. & Systems 2020-06-26 Changfu Li , Vahid R. Disfani , Hamed Valizadeh Haghi , Jan Kleissl

The power flow equations are fundamental to power system planning, analysis, and control. However, the inherent non-linearity and non-convexity of these equations present formidable obstacles in problem-solving processes. To mitigate these…

Optimization and Control · Mathematics 2024-11-15 Paprapee Buason , Sidhant Misra , Jean-Paul Watson , Daniel K. Molzahn

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