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Power grids are undergoing major changes from a few large producers to smart grids build upon renewable energies. Mathematical models for power grid dynamics have to be adapted to capture, when dynamic nodes can achieve synchronization to a…

动力系统 · 数学 2018-07-11 Christian Kuehn , Sebastian Throm

This paper considers robust stability analysis of a large network of interconnected uncertain systems. To avoid analyzing the entire network as a single large, lumped system, we model the network interconnections with integral quadratic…

最优化与控制 · 数学 2016-11-17 Martin S. Andersen , Anders Hansson , Sina Khoshfetrat Pakazad , Anders Rantzer

Chance-constrained optimization has emerged as a promising framework for managing uncertainties in power systems. This work advances its application to the DC Optimal Power Flow (DC-OPF) model, developing a novel approach to uncertainty…

系统与控制 · 电气工程与系统科学 2026-03-18 Tianyang Yi , D. Adrian Maldonado , Anirudh Subramanyam

Optimal power flow (OPF) is an important tool for Independent System Operators (ISOs) to deal with the power generation management. With the increasing penetration of renewable energy into power grids, challenges arise in tackling the OPF…

最优化与控制 · 数学 2023-06-27 Jia Yang , Jun Song , Chaoyue Zhao

A multivariate density forecast model based on deep learning is designed in this paper to forecast the joint cumulative distribution functions (JCDFs) of multiple security margins in power systems. Differing from existing multivariate…

系统与控制 · 电气工程与系统科学 2021-05-10 Zichao Meng , Ye Guo , Wenjun Tang , Hongbin Sun , Wenqi Huang

The growing amount of fluctuating renewable infeeds and market liberalization increases uncertainty in power system operation. To capture the influence of fluctuations in operational planning, we model the forecast errors of the uncertain…

最优化与控制 · 数学 2015-08-26 Line Roald , Frauke Oldewurtel , Bart Van Parys , Göran Andersson

Part II of this paper elaborates on the unique capability of the proposed power flow analysis framework to obtain the true solution corresponding to the stable operating point of a network. It explains the significance of obtaining the true…

系统与控制 · 计算机科学 2016-09-06 Sina S. Baghsorkhi , Sergey P. Suetin

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…

最优化与控制 · 数学 2024-07-23 Xinyi Zhao , Lei Fan , Fei Ding , Weijia Liu , Chaoyue Zhao

With the increasing inclusion of regenerative resources in the energy mix, their intermittent character challenges power grid stability. Hence it is essential to determine which input fluctuations power grids are particularly vulnerable to.…

适应与自组织系统 · 物理学 2018-01-16 Stefan Wieland , Sébastien Aumaitre , Hervé Bercegol

Power systems are getting more complex than ever and are consequently operating close to their limit of stability. Moreover, with the increasing demand of renewable wind generation, and the requirement to maintain a secure power system, the…

系统与控制 · 电气工程与系统科学 2022-06-13 Umair Shahzad

We consider the problem of stability analysis for distribution grids with droop-controlled inverters and dynamic distribution power lines. The inverters are modeled as voltage sources with controllable frequency and amplitude. This problem…

系统与控制 · 电气工程与系统科学 2020-03-27 Stefanos Baros , Christoforos N. Hadjicostis , Francis O'Sullivan

In this paper, we develop a data-driven voltage regulation framework for distributed energy resources (DERs) in a balanced radial power distribution system. The objective is to determine optimal DER power injections that minimize the…

Many natural and man-made network systems need to maintain certain patterns, such as working at equilibria or limit cycles, to function properly. Thus, the ability to stabilize such patterns is crucial. Most of the existing studies on…

In this letter, we analytically investigate the sensitivity of stability index to its dependent variables in general power systems. Firstly, we give a small-signal model, the stability index is defined as the solution to a semidefinite…

最优化与控制 · 数学 2023-01-27 Jun Wang , Yue Song , David John Hill , Yunhe Hou

The energy transition is causing many stability-related challenges for power systems. Transient stability refers to the ability of a power grid's bus angles to retain synchronism after the occurrence of a major fault. In this paper a…

最优化与控制 · 数学 2021-01-12 Tim Aschenbruck , Willem Esterhuizen , Stefan Streif

Motivated by the increasing need to hedge against load and generation uncertainty in the operation of power grids, we propose flexibility maximization during operation. We consider flexibility explicitly as the amount of uncertainty that…

最优化与控制 · 数学 2025-01-27 Aron Zingler , Stephane Fliscounakis , Patrick Panciatici , Alexander Mitsos

Designing robust algorithms for the optimal power flow (OPF) problem is critical for the control of large-scale power systems under uncertainty. The chance-constrained OPF (CCOPF) problem provides a natural formulation of the trade-off…

最优化与控制 · 数学 2025-01-23 Eli Brock , Haixiang Zhang , Javad Lavaei , Somayeh Sojoudi

We probe the stability of Watts-Strogatz DC microgrids, in which droop-controlled producers and constant power load consumers are homogeneously distributed and obey Kirchhoff's circuit laws. The concept of survivability is employed to…

物理与社会 · 物理学 2020-04-23 Julian F. Wienand , David Eidmann , Julian Kremers , Jobst Heitzig , Frank Hellmann , Jürgen Kurths

Monitoring the long term voltage stability of the power grid is necessary to ensure its secure operation. This paper presents a new phasor based methodology that distinguishes between long term voltage stability caused by distribution…

最优化与控制 · 数学 2018-09-28 Amarsagar Reddy Ramapuram Matavalam , Ankit Singhal , Venkataramana Ajjarapu

In this paper, we consider the stability analysis of large-scale distributed networked control systems with random communication delays between linearly interconnected subsystems. The stability analysis is performed in the Markov jump…

系统与控制 · 计算机科学 2015-11-13 Kooktae Lee , Raktim Bhattacharya