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With massive penetrations of active grid-edge technologies, distributed computing and optimization paradigm has gained significant attention to solve distribution-level optimal power flow (OPF) problems. However, the application of generic…

Systems and Control · Electrical Eng. & Systems 2022-05-23 Rabayet Sadnan , Anamika Dubey

Traditional optimal power flow (OPF) describes the system performance only in a single snapshot while the resulting decisions are applied to an entire time period. Therefore, how well the selected snapshot can represent the entire time…

Optimization and Control · Mathematics 2019-08-28 Zongjie Wang , Ge Guo , C. Lindsay Anderson

This paper addresses the problem of voltage regulation in power distribution networks with deep-penetration of distributed energy resources, e.g., renewable-based generation, and storage-capable loads such as plug-in hybrid electric…

Optimization and Control · Mathematics 2015-02-10 Baosen Zhang , Albert Y. S. Lam , Alejandro Dominguez-Garcia , David Tse

This paper develops a branch-flow based optimal power flow (OPF) problem for multi-phase distribution networks that allows for tap selection of wye, closed-delta, and open-delta step-voltage regulators (SVRs). SVRs are assumed ideal and…

Optimization and Control · Mathematics 2019-01-16 Mohammadhafez Bazrafshan , Nikolaos Gatsis , Hao Zhu

A prominent challenge to the safe and optimal operation of the modern power grid arises due to growing uncertainties in loads and renewables. Stochastic optimal power flow (SOPF) formulations provide a mechanism to handle these…

Optimization and Control · Mathematics 2021-12-07 Sarthak Gupta , Sidhant Misra , Deepjyoti Deka , Vassilis Kekatos

Solving the nonlinear AC optimal power flow (AC OPF) problem remains a major computational bottleneck for real-time grid operations. In this paper, we propose a residual learning paradigm that uses fast DC optimal power flow (DC OPF)…

Machine Learning · Computer Science 2025-10-21 Muhy Eddin Za'ter , Bri-Mathias Hodge , Kyri Baker

We introduce a novel data-driven method to mitigate the risk of cascading failures in delayed discrete-time Linear Time-Invariant (LTI) systems. Our approach involves formulating a distributionally robust finite-horizon optimal control…

Optimization and Control · Mathematics 2023-10-19 Guangyi Liu , Arash Amini , Vivek Pandey , Nader Motee

This paper proposes a two-level distributed algorithmic framework for solving the AC optimal power flow (OPF) problem with convergence guarantees. The presence of highly nonconvex constraints in OPF poses significant challenges to…

Optimization and Control · Mathematics 2021-06-14 Kaizhao Sun , Xu Andy Sun

Efficiently solving large-scale optimal power flow (OPF) problems is challenging due to the high dimensionality and interconnectivity of modern power systems. Decomposition methods offer a promising solution via partitioning large problems…

Optimization and Control · Mathematics 2025-12-30 Mohannad Alkhraijah , Devon Sigler , Daniel K. Molzahn

Optimal power flow (OPF) is a critical optimization problem for power systems to operate at points where cost or other operational objectives are optimized. Due to the non-convexity of the set of feasible OPF operating points, it is…

Optimization and Control · Mathematics 2025-03-03 Daniel Turizo , Diego Cifuentes , Anton Leykin , Daniel K. Molzahn

Renewable energy sources such as wind and solar have received much attention in recent years and large amount of renewable generation is being integrated to the electricity networks. A fundamental challenge in power system operation is to…

Optimization and Control · Mathematics 2014-07-11 W. A. Bukhsh , C. Zhang , P. Pinson

This paper proposes a convex optimization based distributed algorithm to solve multi-period optimal gas-power flow (OGPF) in coupled energy distribution systems. At the gas distribution system side, the non-convex Weymouth gas flow…

Optimization and Control · Mathematics 2016-10-18 Cheng Wang , Wei Wei , Jianhui Wang , Linquan Bai , Yile Liang

Addressing the uncertainty introduced by increasing renewable integration is crucial for secure power system operation, yet capturing it while preserving the full nonlinear physics of the grid remains a significant challenge. This paper…

Systems and Control · Electrical Eng. & Systems 2025-10-06 Ghulam Mohy-ud-din , Yunqi Wang , Rahmat Heidari , Frederik Geth

The increasing amount of controllable generation and consumption in distribution grids poses a severe challenge in keeping voltage values within admissible ranges. Existing approaches have considered different optimal power flow…

Systems and Control · Electrical Eng. & Systems 2019-07-25 Miguel Picallo , Adolfo Anta , Bart De Schutter

Joint chance-constrained optimal power flow (JCC-OPF) is a promising tool to manage uncertainties from distributed renewable generation. However, most existing works are based on power flow equations, which require accurate network…

Optimization and Control · Mathematics 2022-04-12 Ge Chen , Hongcai Zhang , Hongxun Hui , Yonghua Song

This paper proposes a robust transient stability constrained optimal power flow problem that addresses renewable uncertainties by the coordination of generation re-dispatch and power flow router (PFR) tuning.PFR refers to a general type of…

Systems and Control · Electrical Eng. & Systems 2020-06-02 Tianlun Chen , Albert Y. S. Lam , Yue Song , David J. Hill

Uncertainty in renewable energy generation has the potential to adversely impact the operation of electric networks. Numerous approaches to manage this impact have been proposed, ranging from stochastic and chance-constrained programming to…

Optimization and Control · Mathematics 2024-05-08 Álvaro Porras , Line Roald , Juan Miguel Morales , Salvador Pineda

We propose a framework for integrating optimal power flow (OPF) with state estimation (SE) in the loop for distribution networks. Our approach combines a primal-dual gradient-based OPF solver with a SE feedback loop based on a limited set…

Optimization and Control · Mathematics 2022-05-05 Yi Guo , Xinyang Zhou , Changhong Zhao , Lijun Chen , Tyler H. Summers

Machine learning assisted optimal power flow (OPF) aims to reduce the computational complexity of these non-linear and non-convex constrained optimization problems by consigning expensive (online) optimization to offline training. The…

Machine Learning · Computer Science 2022-04-28 Thomas Falconer , Letif Mones

In this paper, we discuss our approach and algorithmic framework for solving large-scale security constrained optimal power flow (SCOPF) problems. SCOPF is a mixed integer non-convex optimization problem that aims to obtain the minimum…

Optimization and Control · Mathematics 2020-06-02 Mohammadhafez Bazrafshan , Kyri Baker , Javad Mohammadi