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Chance-constrained programming (CCP) is one of the most difficult classes of optimization problems that has attracted the attention of researchers since the 1950s. In this survey, we focus on cases when only a limited information on the…

最优化与控制 · 数学 2022-02-15 Simge Küçükyavuz , Ruiwei Jiang

When dealing with real-world optimization problems, decision-makers usually face high levels of uncertainty associated with partial information, unknown parameters, or complex relationships between these and the problem decision variables.…

最优化与控制 · 数学 2023-05-01 Antonio Alcántara , Carlos Ruiz

We present a data-driven approach for distributionally robust chance constrained optimization problems (DRCCPs). We consider the case where the decision maker has access to a finite number of samples or realizations of the uncertainty. The…

最优化与控制 · 数学 2018-10-11 Ashish R. Hota , Ashish Cherukuri , John Lygeros

Higher levels of renewable electricity generation increase uncertainty in power system operation. To ensure secure system operation, new tools that account for this uncertainty are required. In this paper, we formulate a chance-constrained…

最优化与控制 · 数学 2019-05-07 Line Roald , Göran Andersson

Power systems are shifted from conventional bulk generation toward renewable generation. This trend leads to the frequency security problem due to the decline of system inertia. On the other hand, natural gas-fired units are frequently…

最优化与控制 · 数学 2021-09-30 Lun Yang , Yinliang Xu , Jianguo Zhou , Hongbin Sun

This paper proposes a distributionally robust optimal power flow (OPF) model for transmission grids with wind power generation. The model uses the conditional value-at-risk (CVaR) constraints to control the reserve and branch flow limit…

系统与控制 · 电气工程与系统科学 2021-10-27 Lei You , Hui Ma , Tapan Kumar Saha , Gang Liu

The multi-period dynamics of energy storage (ES), intermittent renewable generation and uncontrollable power loads, make the optimization of power system operation (PSO) challenging. A multi-period optimal PSO under uncertainty is…

系统与控制 · 电气工程与系统科学 2021-07-22 Ren Hu , Qifeng Li

Chemical process optimization and control are affected by 1) plant-model mismatch, 2) process disturbances, and 3) constraints for safe operation. Reinforcement learning by policy optimization would be a natural way to solve this due to its…

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

We propose conformal predictive programming (CPP), a framework to solve chance constrained optimization problems, i.e., optimization problems with constraints that are functions of random variables. CPP utilizes samples from these random…

系统与控制 · 电气工程与系统科学 2025-05-06 Yiqi Zhao , Xinyi Yu , Matteo Sesia , Jyotirmoy V. Deshmukh , Lars Lindemann

Chance constrained programming (CCP) is a powerful framework for addressing optimization problems under uncertainty. In this paper, we introduce a novel Gradient-Guided Diffusion-based Optimization framework, termed GGDOpt, which tackles…

最优化与控制 · 数学 2025-10-15 Boyang Zhang , Zhiguo Wang , Ya-Feng Liu

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

Inflexible combined heat and power (CHP) plants and uncertain wind power production result in excess power in distribution networks, which leads to inverse power flow challenging grid operations. Power-to-X facilities such as electrolysers…

系统与控制 · 电气工程与系统科学 2025-07-15 Sen Zhan , Peng Hou , Guangya Yang

We present a data-driven algorithm for efficiently computing stochastic control policies for general joint chance constrained optimal control problems. Our approach leverages the theory of kernel distribution embeddings, which allows…

系统与控制 · 电气工程与系统科学 2022-02-10 Adam J. Thorpe , Thomas Lew , Meeko M. K. Oishi , Marco Pavone

This paper studies the behavior of a strategic aggregator offering regulation capacity on behalf of a group of distributed energy resources (DERs, e.g. plug-in electric vehicles) in a power market. Our objective is to maximize the…

最优化与控制 · 数学 2017-08-18 Hongcai Zhang , Zechun Hu , Eric Munsing , Scott J. Moura , Yonghua Song

Wind power is playing an increasingly important role in electricity markets. However, it's inherent variability and uncertainty cause operational challenges and costs as more operating reserves are needed to maintain system reliability.…

最优化与控制 · 数学 2016-03-01 Yishen Wang , Zhi Zhou , Cong Liu , Audun Botterud

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

We consider stochastic programs conditional on some covariate information, where the only knowledge of the possible relationship between the uncertain parameters and the covariates is reduced to a finite data sample of their joint…

最优化与控制 · 数学 2021-11-23 Adrián Esteban-Pérez , Juan M. Morales

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 thesis focuses on developing a data-driven algorithm, based on machine learning, to solve the stochastic alternating current (AC) chance-constrained (CC) Optimal Power Flow (OPF) problem. Although the AC CC-OPF problem has been…

机器学习 · 计算机科学 2024-02-20 Mile Mitrovic