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Infrastructure networks are increasingly vulnerable to natural hazards and design flaws, making resilience assessment essential. This paper presents a scenario-based framework to evaluate network vulnerability by combining local measures…

应用统计 · 统计学 2025-04-01 S. Saei , N. Tajik

Reactive power plays an important role in supporting the real power transfer by maintaining voltage stability and system reliability. It is a critical element for a transmission operator to ensure the reliability of an electric system while…

神经与进化计算 · 计算机科学 2010-03-25 P. R. Sujin , T. Ruban Deva Prakash , M. Mary Linda

Efficiently computing the optimal control policy concerning a complicated future with stochastic disturbance has always been a challenge. The predicted stochastic future disturbance can be represented by a scenario tree, but solving the…

系统与控制 · 电气工程与系统科学 2021-08-31 Ran Jing , Xiangrui Zeng

Distribution system state estimation (DSSE) is an essential tool for operation of distribution networks, the results of which enables the operator to have a thorough observation of the system. Thus, most distribution management systems…

系统与控制 · 计算机科学 2015-04-15 Vahid Rasouli Disfani , Mohammad Chehreghani Bozchalui , Ratnesh Sharma

Optimization problems involving sequential decisions in a stochastic environment were studied in Stochastic Programming (SP), Stochastic Optimal Control (SOC) and Markov Decision Processes (MDP). In this paper we mainly concentrate on SP…

最优化与控制 · 数学 2023-03-29 Guanghui Lan , Alexander Shapiro

High-level penetration of intermittent renewable energy sources (RESs) has introduced significant uncertainties into modern power systems. In order to rapidly and economically respond to the fluctuations of power system operating state,…

系统与控制 · 电气工程与系统科学 2023-08-08 Pengfei Wu , Chen Chen , Dexiang Lai , Jian Zhong

Reliability-based design optimization (RBDO) is traditionally formulated as a nested optimization and reliability problem. Although surrogate models are generally employed to improve efficiency, the approach remains computationally…

统计计算 · 统计学 2026-04-08 M. Moustapha , B. Sudret

A robust-to-dynamics optimization (RDO) problem is an optimization problem specified by two pieces of input: (i) a mathematical program (an objective function $f:\mathbb{R}^n\rightarrow\mathbb{R}$ and a feasible set…

最优化与控制 · 数学 2023-11-27 Amir Ali Ahmadi , Oktay Gunluk

The Robust Satisficing (RS) model is an emerging approach to robust optimization, offering streamlined procedures and robust generalization across various applications. However, the statistical theory of RS remains unexplored in the…

机器学习 · 统计学 2024-06-03 Zhiyi Li , Yunbei Xu , Ruohan Zhan

In power system steady-state estimation (PSSE), one needs to consider (1) the need for robust statistics, (2) the nonconvex transmission constraints, (3) the fast-varying nature of the inputs, and the corresponding need to track optimal…

This paper studies the remote state estimation problem of linear time-invariant systems with stochastic event-triggered sensor schedules in the presence of packet drops between the sensor and the estimator. It is shown that the system state…

最优化与控制 · 数学 2019-04-04 Liang Xu , Yilin Mo , Lihua Xie

Many machine learning algorithms minimize a regularized risk, and stochastic optimization is widely used for this task. When working with massive data, it is desirable to perform stochastic optimization in parallel. Unfortunately, many…

机器学习 · 统计学 2023-11-27 Shin Matsushima , Hyokun Yun , Xinhua Zhang , S. V. N. Vishwanathan

A novel data-driven stochastic robust optimization (DDSRO) framework is proposed for optimization under uncertainty leveraging labeled multi-class uncertainty data. Uncertainty data in large datasets are often collected from various…

机器学习 · 计算机科学 2019-04-04 Chao Ning , Fengqi You

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

Power systems are globally experiencing an unprecedented growth in size and complexity due to the advent of nonconventional generation and consumption technologies. To navigate computational complexity, power system dynamic models are often…

系统与控制 · 电气工程与系统科学 2025-12-01 Yue Huang , Dixant B. Sapkota , Manish K. Singh

The considered optimal control problem of a stochastic power system, is to select the set of power supply vectors which infimizes the probability that the phase-angle differences of any power flow of the network, endangers the transient…

最优化与控制 · 数学 2024-01-31 Zhen Wang , Kaihua Xi , Aijie Cheng , Hai Xiang Lin , Jan H. van Schuppen

In this paper, we propose a framework based on the Retrospective Approximation (RA) paradigm to solve optimization problems with a stochastic objective function and general nonlinear deterministic constraints. This framework sequentially…

最优化与控制 · 数学 2025-05-27 Albert S. Berahas , Raghu Bollapragada , Shagun Gupta

Trajectory optimization is a fundamental stochastic optimal control problem. This paper deals with a trajectory optimization approach for dynamical systems subject to measurement noise that can be fitted into linear time-varying stochastic…

系统与控制 · 电气工程与系统科学 2021-08-24 Prakash Mallick , Zhiyong Chen

Particle swarm optimization (PSO) is an iterative search method that moves a set of candidate solution around a search-space towards the best known global and local solutions with randomized step lengths. PSO frequently accelerates…

神经与进化计算 · 计算机科学 2021-02-25 Johannes Jakubik , Adrian Binding , Stefan Feuerriegel

Variational inequalities are modelling tools used to capture a variety of decision-making problems arising in mathematical optimization, operations research, game theory. The scenario approach is a set of techniques developed to tackle…

最优化与控制 · 数学 2020-03-17 Dario Paccagnan , Marco C. Campi