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This paper considers distribution systems with a high penetration of distributed, renewable generation and addresses the problem of incorporating the associated uncertainty into the optimal operation of these networks. Joint chance…

最优化与控制 · 数学 2019-03-07 Kyri Baker , Andrey Bernstein

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…

最优化与控制 · 数学 2022-04-12 Ge Chen , Hongcai Zhang , Hongxun Hui , Yonghua Song

Managing uncertainty and variability in power injections has become a major concern for power system operators due to the increasing levels of fluctuating renewable energy connected to the grid. This work addresses this uncertainty via a…

最优化与控制 · 数学 2020-05-05 Alejandra Pena-Ordieres , Daniel Molzahn , Line Roald , Andreas Waechter

Evolving power systems with increasing levels of stochasticity call for a need to solve optimal power flow problems with large quantities of random variables. Weather forecasts, electricity prices, and shifting load patterns introduce…

最优化与控制 · 数学 2016-09-09 Kyri Baker , Bridget Toomey

Optimal Power Flow (OPF) dispatches controllable generation at minimum cost subject to operational constraints on generation and transmission assets. The uncertainty and variability of intermittent renewable generation is challenging…

最优化与控制 · 数学 2015-11-24 Miles Lubin , Yury Dvorkin , Scott Backhaus

Despite significant economic and ecological effects, a higher level of renewable energy generation leads to increased uncertainty and variability in power injections, thus compromising grid reliability. In order to improve power grid…

最优化与控制 · 数学 2021-11-24 Aleksander Lukashevich , Vyacheslav Gorchakov , Petr Vorobev , Deepjyoti Deka , Yury Maximov

Uncertainty modeling has become increasingly important in power system decision-making. The widely-used tractable uncertainty modeling method-chance constraints with Conditional Value at Risk (CVaR) approximation, can be overconservative…

最优化与控制 · 数学 2024-07-02 Yilin Wen , Yi Guo , Zechun Hu , Gabriela Hug

In light of a reliable and resilient power system under extreme weather and natural disasters, networked microgrids integrating local renewable resources have been adopted extensively to supply demands when the main utility experiences…

系统与控制 · 电气工程与系统科学 2022-02-09 Yifu Ding , Thomas Morstyn , Malcolm D. McCulloch

Chance constrained optimal power flow (CC-OPF) formulations have been proposed to minimize operational costs while controlling the risk arising from uncertainties like renewable generation and load consumption. To solve CC-OPF, we often…

最优化与控制 · 数学 2018-09-20 Bowen Li , Ruiwei Jiang , Johanna L. Mathieu

Due to the increasing amount of electricity generated from renewable sources, uncertainty in power system operation will grow. This has implications for tools such as Optimal Power Flow (OPF), an optimization problem widely used in power…

最优化与控制 · 数学 2015-04-02 Line Roald , Sidhant Misra , Michael Chertkov , Göran Andersson

In this paper we introduce an iterative Jacobi algorithm for solving distributed model predictive control (DMPC) problems, with linear coupled dynamics and convex coupled constraints. The algorithm guarantees stability and persistent…

最优化与控制 · 数学 2008-09-23 Dang Doan , Tamas Keviczky , Ion Necoara , Moritz Diehl

This paper presents a scalable method for improving the solutions of AC Optimal Power Flow (AC OPF) with respect to deviations in predicted power injections from wind and other uncertain generation resources. The focus of the paper is on…

系统与控制 · 计算机科学 2019-01-10 Miles Lubin , Yury Dvorkin , Line Roald

This paper introduces a framework for Chance-Constrained Optimization with Complex Variables, addressing complex linear programming for both individual and joint probabilistic constraints in the complex domain. We first analyze the 3CP…

最优化与控制 · 数学 2026-05-25 Raneem Madani , Abdel Lisser , Zeno Toffano

This paper is concerned with the design of cooperative distributed Model Predictive Control (MPC) for linear systems. Motivated by the special structure of the distributed models in some existing literature, we propose to apply a state…

系统与控制 · 计算机科学 2017-06-20 He Kong , Stefano Longo , Gabriele Pannocchia , Efstathios Siampis , Lilantha Samaranayake

Deregulated energy markets, demand forecasting, and the continuously increasing share of renewable energy sources call---among others---for a structured consideration of uncertainties in optimal power flow problems. The main challenge is to…

最优化与控制 · 数学 2018-08-24 Tillmann Mühlpfordt , Timm Faulwasser , Veit Hagenmeyer

The chance constrained optimal power flow (CC-OPF) essentially finds the low-cost generation dispatch scheme ensuring operational constraints are met with a specified probability, termed the security level. While the security level is a…

最优化与控制 · 数学 2025-06-24 Shenglu Wang , Kairui Feng , Mengqi Xue , Yue Song

High penetration of renewable energy sources and the increasing share of stochastic loads require the explicit representation of uncertainty in tools such as the optimal power flow (OPF). Current approaches follow either a linearized…

系统与控制 · 计算机科学 2020-07-24 Andreas Venzke , Lejla Halilbasic , Uros Markovic , Gabriela Hug , Spyros Chatzivasileiadis

The ever-increasing integration of stochastic renewable energy sources into power systems operation is making the supply-demand balance more challenging. While joint chance-constrained methods are equipped to model these complexities and…

系统与控制 · 电气工程与系统科学 2025-01-23 Meiyi Li , Javad Mohammadi

Given the increased percentage of wind power in power systems, chance-constrained optimal power flow (CC-OPF) calculation, as a means to take wind power uncertainty into account with a guaranteed security level, is being promoted. Compared…

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

To manage renewable generation and load consumption uncertainty, chance-constrained optimal power flow (OPF) formulations and various solution methodologies have been proposed. However, conventional solution approaches often rely on…

最优化与控制 · 数学 2019-08-06 Bowen Li , Ruiwei Jiang , Johanna L. Mathieu
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