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Balanced steady operation state in power networks changes over time. Traditional power flow algorithm is focused on the steady operation state under a certain time point and calculates the corresponding voltage and power distributions for…

最优化与控制 · 数学 2020-01-24 Zongjie Wang , C. Lindsay Anderson

Probabilistic load flow (PLF) calculation, as a fundamental tool to analyze transmission system behavior, has been studied for decades. Despite a variety of available methods, existing PLF approaches rarely take system control into account.…

系统与控制 · 电气工程与系统科学 2022-03-02 Mengshuo Jia , Qianni Cao , Chen Shen , Gabriela Hug

This paper presents a tensor-recovery method to solve probabilistic power flow problems. Our approach generates a high-dimensional and sparse generalized polynomial-chaos expansion that provides useful statistical information. The result…

计算工程、金融与科学 · 计算机科学 2015-08-12 Zheng Zhang , Hung Dinh Nguyen , Konstantin Turitsyn , Luca Daniel

This paper investigates the impact of Kron reduction on the performance of numerical methods applied to the analysis of unbalanced polyphase power systems. Specifically, this paper focuses on power-flow study, state estimation, and voltage…

系统与控制 · 电气工程与系统科学 2019-07-17 Andreas Martin Kettner , Mario Paolone

We formulate a steady-state network flow problem for non-ideal gas that relates injection rates and nodal pressures in the network to flows in pipes. For this problem, we present and prove a theorem on uniqueness of generalized solution for…

系统与控制 · 电气工程与系统科学 2022-12-01 Shriram Srinivasan , Kaarthik Sundar , Vitaliy Gyrya , Anatoly Zlotnik

This paper formulates an inverse power flow problem which is to infer a nodal admittance matrix (hence the network structure of a power system) from voltage and current phasors measured at a number of buses. We show that the admittance…

系统与控制 · 电气工程与系统科学 2023-09-18 Ye Yuan , Steven Low , Omid Ardakanian , Claire Tomlin

Neural warm starts can sharply reduce the number of Newton-Raphson iterations required to solve the AC power flow problem, but existing supervised approaches generalize poorly on heavily loaded instances near voltage collapse. We prove a…

机器学习 · 计算机科学 2026-05-13 Shourya Bose , Helgi Hilmarsson , Dhruv Suri

With the rapid development of renewable and distributed energies, the underlying dynamics of power systems are no longer dominated by large synchronous generators, but by numerous dynamic components with heterogeneous characteristics. In…

系统与控制 · 电气工程与系统科学 2019-07-30 Peng Yang , Feng Liu , Zhaojian Wang , Shicong Ma

Building on the theoretical insights of Part I, this paper, as the second part of the tutorial, dives deeper into data-driven power flow linearization (DPFL), focusing on comprehensive numerical testing. The necessity of these simulations…

系统与控制 · 电气工程与系统科学 2024-06-12 Mengshuo Jia , Gabriela Hug , Ning Zhang , Zhaojian Wang , Yi Wang , Chongqing Kang

Nonlinear state estimation (SE), with the goal of estimating complex bus voltages based on all types of measurements available in the power system, is usually solved using the iterative Gauss-Newton method. The nonlinear SE presents some…

机器学习 · 计算机科学 2022-09-09 Ognjen Kundacina , Mirsad Cosovic , Dragisa Miskovic , Dejan Vukobratovic

Despite wide-scale deployment of phasor measurement unit technology, locating the sources of low frequency forced oscillations in power systems is still an open research topic. The dissipating energy flow method is one source location…

系统与控制 · 计算机科学 2018-11-12 Samuel Chevalier , Petr Vorobev , Konstantin Turitsyn , Bin Wang , Slava Maslennikov

Compared with relational database (RDB), graph database (GDB) is a more intuitive expression of the real world. Each node in the GDB is a both storage and logic unit. Since it is connected to its neighboring nodes through edges, and its…

分布式、并行与集群计算 · 计算机科学 2018-09-06 Chen Yuan , Guangyi Liu , Renchang Dai , Zhiwei Wang

Power flow (PF) calculations are the backbone of real-time grid operations, across workflows such as contingency analysis (where repeated PF evaluations assess grid security under outages) and topology optimization (which involves PF-based…

机器学习 · 计算机科学 2026-04-21 Ana K. Rivera , Anvita Bhagavathula , Alvaro Carbonero , Priya Donti

Modern state and parameter estimations in power systems consist of two stages: the outer problem of minimizing the mismatch between network observation and prediction over the network parameters, and the inner problem of predicting the…

系统与控制 · 电气工程与系统科学 2021-03-29 Laurent Pagnier , Michael Chertkov

Linear optimal power flow (LOPF) algorithms use a linearization of the alternating current (AC) load flow equations to optimize generator dispatch in a network subject to the loading constraints of the network branches. Common algorithms…

适应与自组织系统 · 物理学 2018-02-01 Jonas Hörsch , Henrik Ronellenfitsch , Dirk Witthaut , Tom Brown

Solving the alternating current power flow equations in real time is essential for secure grid operation, yet classical Newton-Raphson solvers can be slow under stressed conditions. Existing graph neural networks for power flow are…

系统与控制 · 电气工程与系统科学 2026-03-19 Chidozie Ezeakunne , Jose E. Tabarez , Reeju Pokharel , Anup Pandey

With rising shares of renewables and the need to properly assess trade-offs between transmission, storage and sectoral integration as balancing options, building a bridge between energy system models and detailed power flow studies becomes…

物理与社会 · 物理学 2022-04-29 Fabian Neumann , Veit Hagenmeyer , Tom Brown

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…

系统与控制 · 电气工程与系统科学 2023-11-21 Matthew Deakin , Davis Montenegro

This letter investigates parallelism approaches for equation and Jacobian evaluations in large-scale power flow calculation. Two levels of parallelism are proposed and analyzed: inter-model parallelism, which evaluates models in parallel,…

系统与控制 · 电气工程与系统科学 2021-08-24 Hantao Cui , Fangxing Li , Xin Fang

We use simulation to compare different power flow models in the process of charging electric vehicles (EVs) by considering their random arrivals, their stochastic demand for energy at charging stations, and the characteristics of the…

最优化与控制 · 数学 2022-12-08 M. H. M. Christianen , M. Vlasiou , B. Zwart