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In this paper we introduce a continuous time multi stage stochastic optimization for scheduling generating units, their commitment, reserve capacities and their continuous time generation profiles in the day-ahead wholesale electricity…

Optimization and Control · Mathematics 2018-03-21 Kári Hreinsson , Bita Analui , Anna Scaglione

Multi-stage stochastic programming is a well-established framework for sequential decision making under uncertainty by seeking policies that are fully adapted to the uncertainty. Often such flexible policies are not desirable, and the…

Optimization and Control · Mathematics 2024-08-06 Beste Basciftci , Shabbir Ahmed , Nagi Gebraeel

We consider a risk-averse stochastic capacity planning problem under uncertain demand in each period. Using a scenario tree representation of the uncertainty, we formulate a multistage stochastic integer program to adjust the capacity…

Optimization and Control · Mathematics 2024-11-05 Xian Yu , Siqian Shen

We consider a multiperiod stochastic capacitated facility location problem under uncertain demand and budget in each period. Using a scenario tree representation of the uncertainties, we formulate a multistage stochastic integer program to…

Optimization and Control · Mathematics 2022-07-19 Xian Yu , Siqian Shen

Unit maintenance and unit commitment are two critical and interrelated aspects of electric power system operation, both of which face the challenge of coordinating efforts to enhance reliability and economic performance. This challenge…

Systems and Control · Electrical Eng. & Systems 2024-12-03 Hongrui Lu , Yuxiong Huang , Tong He , Gengfeng Li

As net-load becomes less predictable there is a lot of pressure in changing decision models for power markets such that they account explicitly for future scenarios in making commitment decisions. This paper proposes to make commitment…

Optimization and Control · Mathematics 2016-12-21 Bita Analui , Anna Scaglione

Two-stage robust unit commitment (RUC) models have been widely used for day-ahead energy and reserve scheduling under high renewable integration. The current state of the art relies on budget-constrained polyhedral uncertainty sets to…

Optimization and Control · Mathematics 2019-05-14 Alexandre Velloso , Alexandre Street , David Pozo , José M. Arroyo , Noemi G. Cobos

The deep penetration of wind and solar power is a critical component of the future power grid. However, the intermittency and stochasticity of these renewable resources bring significant challenges to the reliable and economic operation of…

Optimization and Control · Mathematics 2016-08-11 Alvaro Lorca , Xu Andy Sun

Renewable energy sources such as wind and solar have received much attention in recent years and large amount of renewable generation is being integrated to the electricity networks. A fundamental challenge in power system operation is to…

Optimization and Control · Mathematics 2014-07-11 W. A. Bukhsh , C. Zhang , P. Pinson

Energy storage promotes the integration of renewables by operating with charge and discharge policies that balance an intermittent power supply. A key challenge in this emerging sector is how to optimize the operation of storage assets…

Multistage stochastic programming is a powerful tool allowing decision-makers to revise their decisions at each stage based on the realized uncertainty. However, in practice, organizations are not able to be fully flexible, as decisions…

Optimization and Control · Mathematics 2024-01-17 Sezen Ece Kayacık , Beste Basciftci , Albert H Schrotenboer , Evrim Ursavas

This paper proposes a reformulation of the scenario-based two-stage unit commitment problem under uncertainty that allows finding unit-commitment plans that perform reasonably well both in expectation and for the worst case realization of…

Optimization and Control · Mathematics 2016-06-21 Ignacio Blanco , Juan M. Morales

This paper addresses a central challenge of jointly considering shorter-term (e.g. hourly) and longer-term (e.g. yearly) uncertainties in power system planning with increasing penetration of renewable and storage resources. In conventional…

Systems and Control · Electrical Eng. & Systems 2021-09-13 Chao Yan , Xinbo Geng , Zhaohong Bie , Le Xie

We propose a multi-stage stochastic programming model for the optimal participation of energy communities in electricity markets. The multi-stage aspect captures the different times at which variable renewable generation and electricity…

Optimization and Control · Mathematics 2025-10-07 Albert Solà Vilalta , Ignasi Mañé , F. - Javier Heredia

Transmission system operators employ reserves to deal with unexpected variations of demand and generation to guarantee the security of supply. The French transmission system operator RTE dynamically sizes the required margins using a…

Optimization and Control · Mathematics 2024-05-14 Jonathan Dumas

Optimization models have been broadly used within side the energy industry as useful decision-making systems for scheduling and dispatching electric powered energy resources; this is applied in a system called unit commitment (UC). Unit…

Optimization and Control · Mathematics 2022-04-01 Angel Zambrano

The penetration of renewable energies requires additional storages to deal with intermittency. Accordingly, there is growing interest in evaluating the opportunity cost (usage value) associated with stored energy in large storages, a cost…

Optimization and Control · Mathematics 2025-01-20 Camila Martinez Parra , Michel de Lara , Jean-Philippe Chancelier , Pierre Carpentier , Jean-Marc Janin , Manuel Ruiz

Decisions for a variable renewable resource generators commitment in the energy market are typically made in advance when little information is obtainable about wind availability and market prices. Much research has been published…

Optimization and Control · Mathematics 2021-03-09 Razan A. H. Al-Lawati , Jose L. Crespo-Vazquez , Tasnim Ibn Faiz , Xin Fang , Md. Noor-E-Alam

This paper introduces a node formulation for multistage stochastic programs with endogenous (i.e., decision-dependent) uncertainty. Problems with such structure arise when the choices of the decision maker determine a change in the…

Optimization and Control · Mathematics 2021-03-05 Giovanni Pantuso

Most decision-focused learning work has focused on single stage problems whereas many real-world decision problems are more appropriately modelled using multistage optimisation. In multistage problems contextual information is revealed over…

Optimization and Control · Mathematics 2025-05-29 Egon Peršak , Miguel F. Anjos
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