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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…

系统与控制 · 电气工程与系统科学 2025-01-30 Nico Westerbeck , Joost van Dijk , Jan Viebahn , Christian Merz , Dirk Witthaut

This paper presents a novel distributed approach for solving AC power flow (PF) problems. The optimization problem is reformulated into a distributed form using a communication structure corresponding to a hypergraph, by which complex…

最优化与控制 · 数学 2024-07-03 Xinliang Dai , Yingzhao Lian , Yuning Jiang , Colin N. Jones , Veit Hagenmeyer

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…

最优化与控制 · 数学 2023-05-09 Frederik Geth , Sander Claeys , Rahmat Heidari

DC Optimal Power Flow (DC-OPF) problems optimize the generators' active power setpoints while satisfying constraints based on the DC power flow linearization. The computational tractability advantages of DC-OPF problems come at the expense…

最优化与控制 · 数学 2025-12-23 Babak Taheri , Daniel K. Molzahn

This paper develops a fixed-point iteration to solve the steady-state water flow equations in an urban water distribution network. The fixed-point iteration is derived upon the assumption of turbulent flow solutions and the validity of the…

系统与控制 · 计算机科学 2018-07-05 Mohammadhafez Bazrafshan , Nikolaos Gatsis , Marcio Giacomoni , Ahmad Taha

The paper proposes a novel hybrid method for solving equilibrium problems and fixed point problems. By constructing specially cutting-halfspaces, in this algorithm, only an optimization program is solved at each iteration without the…

最优化与控制 · 数学 2015-10-30 Dang Van Hieu

Optimal Power Flow (OPF) is an important tool used to coordinate assets in electric power systems to ensure customer voltages are within pre-defined tolerances and to improve distribution system operations. While convex relaxations of…

最优化与控制 · 数学 2016-11-18 Michael D. Sankur , Roel Dobbe , Emma Stewart , Duncan S. Callaway , Daniel B. Arnold

The AC power flow equations describe the steady-state behavior of the power grid. While many algorithms have been developed to compute solutions to the power flow equations, few theoretical results are available characterizing when such…

最优化与控制 · 数学 2017-06-19 Krishnamurthy Dvijotham , Enrique Mallada , John W Simpson-Porco

This two-part paper details a theory of solvability for the power flow equations in lossless power networks. In Part I, we derive a new formulation of the lossless power flow equations, which we term the fixed-point power flow. The model is…

最优化与控制 · 数学 2017-09-21 John W. Simpson-Porco

This paper presents a security-constrained optimal power flow (SCOPF) model for HVDC grids that optimizes the asymmetrical operation of bipolar converter stations, i.e., different current injections of the positive and negative converter…

系统与控制 · 电气工程与系统科学 2025-11-14 Oscar Damanik , Giacomo Bastianel , Dirk Van Hertem , Hakan Ergun

This paper investigates parallelization strategies for solving power flow problems in both transmission and unbalanced, three-phase distribution systems by developing a scalable power flow solver, ExaGridPF, which is compatible with…

计算工程、金融与科学 · 计算机科学 2017-11-30 Bin Wang , John Bachan , Cy Chan

The growing penetration of distributed energy resources (DERs), electric vehicles (EVs), and heat pumps (HPs) in distribution networks underscores the need for secure, computationally efficient optimal power flow (OPF) solutions.…

系统与控制 · 电气工程与系统科学 2026-04-15 Savvas Panagi , Chrysovalantis Spanias , Petros Aristidou

This paper focuses on the AC Optimal Power Flow (OPF) problem for multi-phase systems. Particular emphasis is given to systems with high integration of renewables, where adjustments of the real and reactive output powers from renewable…

最优化与控制 · 数学 2016-12-22 Ahmed S. Zamzam , Nicholas D. Sidiropoulos , Emiliano Dall'Anese

The manuscript addresses the problem of finding all solutions of power flow equations or other similar nonlinear system of algebraic equations. This problem arises naturally in a number of power systems contexts, most importantly in the…

混沌动力学 · 物理学 2014-08-13 Dhagash Mehta , Hung Nguyen , Konstantin Turitsyn

Probabilistic power flow (PPF) analysis is critical to power system operation and planning. PPF aims at obtaining probabilistic descriptions of the state of the system with stochastic power injections (e.g., renewable power generation and…

系统与控制 · 电气工程与系统科学 2023-08-23 Kejun Chen , Yu Zhang

The growing penetration of distributed energy resources (DERs) is leading to continually changing operating conditions, which need to be managed efficiently by distribution grid operators. The intermittent nature of DERs such as solar…

系统与控制 · 电气工程与系统科学 2022-07-21 Kshitij Girigoudar , Ashley M. Hou , Line A. Roald

Most power systems' approaches are currently tending towards stochastic and probabilistic methods due to the high variability of renewable sources and the stochastic nature of loads. Conventional power flow (PF) approaches such as…

系统与控制 · 电气工程与系统科学 2024-01-17 Deepak Tiwari , Mehdi Jabbari Zideh , Veeru Talreja , Vishal Verma , Sarika K. Solanki , Jignesh Solanki

With increasing smart grid direct current (DC) deployments in distribution feeders, microgrids, buildings, and high-voltage transmission, there is a need for better understanding the landscape of power flow (PF) solutions as well as for…

最优化与控制 · 数学 2019-07-11 Sina Taheri , Vassilis Kekatos

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.…

机器学习 · 计算机科学 2025-12-02 Xuezhi Liu

Alternating-Current Optimal Power Flow (AC-OPF) is an optimization problem critical for planning and operating the power grid. The problem is traditionally formulated using only continuous variables. Typically, control devices with…

最优化与控制 · 数学 2021-10-15 Timothy McNamara , Amritanshu Pandey , Aayushya Agarwal , Larry Pileggi