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With the integration of large-scale renewable energy sources to power systems, many optimization methods have been applied to solve the stochastic/uncertain transmission-constrained unit commitment (TCUC) problem. Among all methods,…

Optimization and Control · Mathematics 2018-10-18 Xuan Li , Qiaozhu Zhai , Xiaohong Guan

We propose a (seemingly) new computationally tractable model for multi-stage decision making under stochastic uncertainty.

Optimization and Control · Mathematics 2019-12-10 Arkadi Nemirovski

This paper introduces a novel approach to addressing uncertainty and associated risks in power system management, focusing on the discrepancies between forecasted and actual values of load demand and renewable power generation. By employing…

Optimization and Control · Mathematics 2024-08-12 Rene Carmona , Ronnie Sircar , Xinshuo Yang

Power supply from renewable resources is on a global rise where it is forecasted that renewable generation will surpass other types of generation in a foreseeable future. Increased generation from renewable resources, mainly solar and wind,…

Machine Learning · Statistics 2017-06-28 Mohana Alanazi , Mohsen Mahoor , Amin Khodaei

Assemble-to-order approaches deal with randomness in demand for end items by producing components under uncertainty, but assembling them only after demand is observed. Such planning problems can be tackled by stochastic programming, but…

Optimization and Control · Mathematics 2023-11-23 Daniele Giovanni Gioia , Edoardo Fadda , Paolo Brandimarte

Over the last few decades, electricity markets around the world have adopted multi-settlement structures, allowing for balancing of supply and demand as more accurate forecast information becomes available. Given increasing uncertainty due…

Systems and Control · Electrical Eng. & Systems 2020-03-16 Nathan Dahlin , Rahul Jain

Due to the established energy production methods contribution to the climate crisis, renewable energy is to replace a substantial part of coal or nuclear plants to prevent greenhouse gases or toxic waste entering the atmosphere. This…

Other Computer Science · Computer Science 2022-04-05 Vincent Meilinger

The two-stage stochastic unit commitment problem has become an important tool to support decision-making under uncertainty in power systems. Representing the uncertainty by a large number of scenarios guarantees accurate results but…

Optimization and Control · Mathematics 2025-12-23 Yannick Werner , Juan Miguel Morales , Salvador Pineda , Line Roald , Sonja Wogrin

Value-oriented forecasts for two-stage power system operational problems have been demonstrated to reduce cost, but prove to be computationally challenging for large-scale systems because the underlying optimization problem must be…

Optimization and Control · Mathematics 2025-05-20 Mehrnoush Ghazanfariharandi , Robert Mieth

We consider a two-stage generation scheduling problem comprising a forward dispatch and a real-time re-dispatch. The former must be conducted facing an uncertain net demand that includes non-dispatchable electricity consumption and…

Optimization and Control · Mathematics 2023-04-18 Juan M. Morales , Miguel Á. Muñoz , Salvador Pineda

This paper introduces a multi-timescale stochastic programming framework designed to address decision-making challenges in power systems, particularly those with high renewable energy penetration. The framework models interactions across…

Optimization and Control · Mathematics 2025-08-13 Yihang Zhang , Suvrajeet Sen

Stochastic dual dynamic programming is a cutting plane type algorithm for multi-stage stochastic optimization originated about 30 years ago. In spite of its popularity in practice, there does not exist any analysis on the convergence rates…

Optimization and Control · Mathematics 2023-05-10 Guanghui Lan

Charging station availability is crucial for a thriving electric vehicle market. Due to budget constraints, locating these stations usually proceeds in phases, which calls for careful consideration of the (random) charging demand growth…

Optimization and Control · Mathematics 2024-11-05 Wenjia Shen , Bo Zhou , Ruiwei Jiang , Siqian Shen

In response to the increasing deployment of battery storage systems for cost reduction and grid stress mitigation, this study presents the development of a new real-time Markov decision process model to efficiently schedule battery systems…

Systems and Control · Electrical Eng. & Systems 2024-09-17 Hussein Sharadga , Ahmad Dawahdeh , Golbon Zakeri , Abdullah Hayajneh , Geoff Pritchard

Energy forecasting is an essential task in power system operations. Operators usually issue forecasts and leverage them to schedule energy dispatch ahead of time. However, forecast models are typically developed in a way that overlooks the…

Systems and Control · Electrical Eng. & Systems 2024-12-17 Yufan Zhang , Mengshuo Jia , Honglin Wen , Yuexin Bian , Yuanyuan Shi

In this study, we consider two classes of multicriteria two-stage stochastic programs in finite probability spaces with multivariate risk constraints. The first-stage problem features a multivariate stochastic benchmarking constraint based…

Optimization and Control · Mathematics 2020-06-02 Nilay Noyan , Merve Merakli , Simge Kucukyavuz

Recent developments in decomposition methods for multi-stage stochastic programming with block separable recourse enable the solution to large-scale stochastic programs with multi-timescale uncertainty. Multi-timescale uncertainty is…

Optimization and Control · Mathematics 2024-09-04 Hongyu Zhang , Erlend Heir , Asbjørn Nisi , Asgeir Tomasgard

Multiobjective stochastic programming is a field well located to tackle problems arising in emergencies, given that uncertainty and multiple objectives are usually present in such problems. A new concept of solution is proposed in this…

Optimization and Control · Mathematics 2021-02-08 Javier León , Justo Puerto , Begoña Vitoriano

Multi-stage optimization under uncertainty techniques can be used to solve long-term management problems. Although many optimization modeling language extensions as well as computational environments have been proposed, the acceptance of…

Optimization and Control · Mathematics 2014-04-24 Ronald Hochreiter

In this paper, the impact of stochastic load and renewable generation uncertainty on the dynamic voltage stability margin is studied. Stochastic trajectories describing the uncertainty of load, wind and solar generation have been…

Systems and Control · Electrical Eng. & Systems 2019-06-21 Georgia Pierrou , Xiaozhe Wang