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To figure out the stability issues brought by renewable energy sources (RES) with non-Gaussian uncertainties in isolated microgrids, this paper proposes a chance constrained stability constrained optimal power flow (CC-SC-OPF) model.…

系统与控制 · 电气工程与系统科学 2023-02-07 Jun Wang , Yue Song , David John Hill , Yunhe Hou , Feilong Fan

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

An integrated optimization method based on the constrained multi-objective evolutionary algorithm (MOEA) and non-intrusive polynomial chaos expansion (PCE) is proposed, which solves robust multi-objective optimization problems under…

神经与进化计算 · 计算机科学 2022-09-29 Yuji Takubo , Masahiro Kanazaki

Dispatchability of renewable energy sources and inflexible loads can be achieved using a volatility-compensating energy storage. However, as the future power outputs of the inflexible devices are uncertain, the computation of a dispatch…

系统与控制 · 计算机科学 2018-05-25 R. R. Appino , J. Á. González Ordiano , R. Mikut , V. Hagenmeyer , T. Faulwasser

Optimal power flow (OPF) is the central optimization problem in electric power grids. Although solved routinely in the course of power grid operations, it is known to be strongly NP-hard in general, and weakly NP-hard over tree networks. In…

系统与控制 · 计算机科学 2016-06-22 Krishnamurthy Dvijotham , Pascal Van Hentenryck , Michael Chertkov , Sidhant Misra , Marc Vuffray

Reliability analysis typically relies on deterministic simulators, which yield repeatable outputs for identical inputs. However, many real-world systems display intrinsic randomness, requiring stochastic simulators whose outputs are random…

统计方法学 · 统计学 2025-07-08 A. Pires , M. Moustapha , S. Marelli , B. Sudret

The optimal power flow (OPF) problem, which plays a central role in operating electrical networks is considered. The problem is nonconvex and is in fact NP hard. Therefore, designing efficient algorithms of practical relevance is crucial,…

最优化与控制 · 数学 2014-08-20 S. Magnússon , P. C. Weeraddana , C. Fischione

Polynomial chaos based methods enable the efficient computation of output variability in the presence of input uncertainty in complex models. Consequently, they have been used extensively for propagating uncertainty through a wide variety…

最优化与控制 · 数学 2020-09-18 Tuhin Sahai

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

Operator learning (OL) has emerged as a powerful tool in scientific machine learning (SciML) for approximating mappings between infinite-dimensional functional spaces. One of its main applications is learning the solution operator of…

机器学习 · 统计学 2025-08-29 Himanshu Sharma , Lukáš Novák , Michael D. Shields

Conventional optimal power flow (OPF) solvers assume full observability of the involved system states. However, in practice, there is a lack of reliable system monitoring devices in the distribution networks. To close the gap between the…

最优化与控制 · 数学 2020-03-18 Yi Guo , Xinyang Zhou , Changhong Zhao , Yue Chen , Tyler Summers , Lijun Chen

With high penetrations of renewable generation and variable loads, there is significant uncertainty associated with power flows in DC networks such that stability and operational constraint satisfaction are of concern. Most existing DC…

最优化与控制 · 数学 2021-06-14 Jianzhe Liu , Bai Cui , Daniel K. Molzahn , Chen Chen , Xiaonan Lu , Feng Qiu

This paper discusses a method enabling optimal control of nonlinear systems that are subject to parametric uncertainty. A stochastic optimal tracking problem is formulated that can be expressed in function of the first two stochastic…

最优化与控制 · 数学 2018-08-22 Tom Lefebvre , Frederik De Belie , Guillaume Crevecoeur

A prominent challenge to the safe and optimal operation of the modern power grid arises due to growing uncertainties in loads and renewables. Stochastic optimal power flow (SOPF) formulations provide a mechanism to handle these…

最优化与控制 · 数学 2021-12-07 Sarthak Gupta , Sidhant Misra , Deepjyoti Deka , Vassilis Kekatos

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

There is an emerging need for efficient solutions to stochastic AC Optimal Power Flow ({AC-}OPF) to ensure optimal and reliable grid operations in the presence of increasing demand and generation uncertainty. This paper presents a highly…

系统与控制 · 电气工程与系统科学 2020-06-11 Ilyes Mezghani , Sidhant Misra , Deepjyoti Deka

The optimal power flow problem plays an important role in the market clearing and operation of electric power systems. However, with increasing uncertainty from renewable energy operation, the optimal operating point of the system changes…

最优化与控制 · 数学 2018-01-25 Yeesian Ng , Sidhant Misra , Line A. Roald , Scott Backhaus

We present a decomposition approach for obtaining good feasible solutions for the security-constrained alternating-current optimal power flow (SCACOPF) problem at an industrial scale and under real-world time and computational limits. The…

最优化与控制 · 数学 2021-10-06 Cosmin G. Petra , Ignacio Aravena

Electric power grids regularly experience uncertain fluctuations from load demands and renewables, which poses a risk of violating operational limits designed to safeguard the system. In this paper, we consider the robust AC OPF problem…

最优化与控制 · 数学 2021-04-13 Dongchan Lee , Konstantin Turitsyn , Daniel K. Molzahn , Line A. Roald

The Optimal Power Flow (OPF) problem is pivotal for power system operations, guiding generator output and power distribution to meet demand at minimized costs, while adhering to physical and engineering constraints. The integration of…

机器学习 · 计算机科学 2023-11-27 Chen Li , Alexander Kies , Kai Zhou , Markus Schlott , Omar El Sayed , Mariia Bilousova , Horst Stoecker