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A standard operational requirement in power systems is that the voltage magnitudes lie within prespecified bounds. Conventional engineering wisdom suggests that such a tightly-regulated profile, imposed for system design purposes and good…

Optimization and Control · Mathematics 2020-10-06 Marco Todescato , John W. Simpson-Porco , Florian Dörfler , Ruggero Carli , Francesco Bullo

The bus admittance matrix is central to many power system simulation algorithms, but the link between problem size and computation time (i.e., the time complexity) using modern sparse solvers is not fully understood. It has recently been…

Systems and Control · Electrical Eng. & Systems 2023-11-21 Matthew Deakin , Davis Montenegro

Given the complexity of power systems, particularly the high-dimensional variability of net loads, accurately depicting the entire operational range of net loads poses a challenge. To address this, recent methodologies have sought to gauge…

Optimization and Control · Mathematics 2024-07-23 Xinyi Zhao , Lei Fan , Fei Ding , Weijia Liu , Chaoyue Zhao

Short term load forecasting has an essential medium for the reliable, economical and efficient operation of the power system. Most of the existing forecasting approaches utilize fixed statistical models with large historical data for…

Signal Processing · Electrical Eng. & Systems 2019-05-21 Irfan Ahmad Khan , Adnan Akber , Yinliang Xu

Extracting green hydrogen from renewable energy sources is a new concept in the energy industry. As an energy carrier, hydrogen is well capable of facilitating a strong coupling between various energy sectors, as well as integration of…

Systems and Control · Electrical Eng. & Systems 2020-10-14 Abbas Rabiee , Andrew Keane , Alireza Soroudi

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

Security assessment of large-scale, strongly nonlinear power grids containing thousands to millions of interacting components is a computationally expensive task. Targeting at reducing the computational cost, this paper introduces a…

Systems and Control · Computer Science 2017-11-01 Thanh Long Vu , Konstantin Turitsyn

Accurate phase connectivity information is essential for advanced monitoring and control applications in power distribution systems. The existing data-driven approaches for phase identification lack precise physical interpretation and…

Systems and Control · Computer Science 2019-08-23 Wenyu Wang , Nanpeng Yu

This report serves as a technology description of a Julia-based re-implementation of the fixed-point current injection algorithm, available in PowerModelsDistribution.jl [1]. This report does not describe a novel method for solving…

Optimization and Control · Mathematics 2023-05-09 Frederik Geth , Sander Claeys , Rahmat Heidari

Modern electric power systems have an increasingly complex structure due to rise in power demand and integration of diverse energy sources. Monitoring these large-scale systems, which relies on efficient state estimation, represents a…

In the presence of uncertainties in load, generation, and network topology, power system planning must reflect operational conditions, while operations require situational awareness over credible uncertainty sets. Existing methods screen,…

Systems and Control · Electrical Eng. & Systems 2026-02-24 Laurenţiu Lucian Anton , Marija Ilić

Electric load forecasting is an indispensable component of electric power system planning and management. Inaccurate load forecasting may lead to the threat of outages or a waste of energy. Accurate electric load forecasting is challenging…

Machine Learning · Computer Science 2023-10-25 Linxiao Yang , Rui Ren , Xinyue Gu , Liang Sun

Many problems in power systems involve optimizing a certain objective function subject to power flow equations and engineering constraints. A long-standing challenge in solving them is the nonconvexity of their feasible sets. In this paper,…

Optimization and Control · Mathematics 2023-10-03 Ling Zhang , Daniel Tabas , Baosen Zhang

In this paper we present a novel tractable method to compute reduced and aggregated distribution grid representations that provide an interface in the form of active and reactive power (PQ) capability areas for improving transmission…

Systems and Control · Computer Science 2019-03-19 Philipp Fortenbacher , Turhan Demiray

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

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

In many power system optimization problems, we observe that only a small fraction of the line flow constraints ever become active at the optimal solution, despite variations in the load profile and generation costs. This observation has…

Optimization and Control · Mathematics 2019-04-04 Line Roald , Daniel K. Molzahn

This paper proposes a new linear power flow model for distribution system with accurate voltage magnitude estimates. The new model can be seen as a generalization of LinDistFlow model to multiphase distribution system with generic network…

Systems and Control · Electrical Eng. & Systems 2021-04-07 Jianqiao Huang , Bai Cui , Xinyang Zhou , Andrey Bernstein

Limited presence of nodal and line meters in distribution grids hinders their optimal operation and participation in real-time markets. In particular lack of real-time information on the grid topology and infrequently calibrated line…

Systems and Control · Computer Science 2018-03-13 Sejun Park , Deepjyoti Deka , Michael Chertkov

The increasing integration of renewable energy sources (RESs) and distributed energy resources (DERs) has significantly heightened operational complexity and uncertainty in modern power systems. Concurrently, the widespread deployment of…

Systems and Control · Electrical Eng. & Systems 2025-05-26 Bendong Tan , Tong Su , Yu Weng , Ketian Ye , Parikshit Pareek , Petr Vorobev , Hung Nguyen , Junbo Zhao , Deepjyoti Deka
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