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Multistage stochastic optimization problems are, by essence, complex as their solutions are indexed both by stages and by uncertainties. Their large scale nature makes decomposition methods appealing, like dynamic programming which is a…

Optimization and Control · Mathematics 2023-05-01 Pierre Carpentier , Jean-Philippe Chancelier , Michel de Lara , Thomas Martin , Tristan Rigaut

In this paper, we propose a mathematical formulation for the management of an oil production network as a multistage optimization problem. The reservoir is modeled as a controlled dynamical system by using material balance equations. We use…

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…

In this paper we formulate an optimization approach to schedule electrical loads given a short term prediction of time-varying power production and the ability to store only a limited amount of electrical energy. The proposed approach is…

Optimization and Control · Mathematics 2016-11-15 Raymond A. de Callafon , Abdulelah H. Habib , Jan Kleissl

This paper addresses the energy management of a grid-connected photovoltaic plant coupled with a battery energy storage device, within the capacity firming specifications of the French Energy Regulatory Commission. The paper contributions…

Optimization and Control · Mathematics 2021-06-07 Jonathan Dumas , Bertrand Cornélusse , Antonello Giannitrapani , Simone Paoletti , Antonio Vicino

We consider a multi-stage stochastic lot-sizing problem with service level constraints and supplier-driven product substitution. A firm has multiple products and it has the option to meet demand from substitutable products at a cost.…

Optimization and Control · Mathematics 2023-01-03 Narges Sereshti , Merve Bodur , James R. Luedtke

In energy systems with high shares of weather-driven renewable power sources, gas-fired power plants can serve as a back-up technology to ensure security of supply and provide short-term flexibility. Therefore, a tighter coordination…

Optimization and Control · Mathematics 2018-05-17 Christos Ordoudis , Pierre Pinson , Juan M. Morales

The integration of storage and renewable resources fundamentally alters resource-adequacy analysis. Because storage couples decisions across time, it invalidates the traditional reliability models that are based on time-independent capacity…

Optimization and Control · Mathematics 2026-03-05 Baptiste Rabecq , Andy Sun , Feng Zhao , Tongxin Zheng , Xiaochu Wang , Yufan Zhang

Maintenance optimization has been extensively studied in the past decades. However, most of the existing maintenance models focus on single-component systems and are not applicable for complex systems consisting of multiple components, due…

Optimization and Control · Mathematics 2019-07-03 Zhicheng Zhu , Yisha Xiang , Bo Zeng

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

The modelling of modern power markets requires the representation of the following main features: (i) a stochastic dynamic decision process, with uncertainties related to renewable production and fuel costs, among others; and (ii) a…

Optimization and Control · Mathematics 2019-10-10 Joaquim Dias Garcia , Raphael Chabar

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…

Systems and Control · Computer Science 2018-05-25 R. R. Appino , J. Á. González Ordiano , R. Mikut , V. Hagenmeyer , T. Faulwasser

We consider multistage stochastic optimization problems involving multiple units. Each unit is a (small) control system. Static constraints couple units at each stage. We present a mix of spatial and temporal decompositions to tackle such…

Optimization and Control · Mathematics 2021-06-18 Pierre Carpentier , Jean-Philippe Chancelier , Michel de Lara , François Pacaud

This paper aims to propose a two-step approach for day-ahead hourly scheduling in a distribution system operation, which contains two operation costs, the operation cost at substation level and feeder level. In the first step, the objective…

Systems and Control · Computer Science 2017-11-30 Yi Gu , Huaiguang Jiang , Jun Jason Zhang , Yingchen Zhang , Eduard Muljadi , Francisco J. Solis

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 large-scale access of electric vehicles to the power grid not only provides flexible adjustment resources for the power system, but the temporal uncertainty and distribution complexity of their energy interaction pose significant…

Systems and Control · Electrical Eng. & Systems 2025-06-18 Hengyu Liu , Yanhong Luo , Congcong Wu , Yin Guan , Ahmed Lotfy Elrefai , Andreas Elombo , Si Li , Sahban Wael Saeed Alnaser , Mingyu Yan

Pre-positioning of relief supplies is an important aspect of disaster operations management that aims at decreasing the response time by advancing procurement and storage of needed supplies. In this paper we consider commodity life-time…

Optimization and Control · Mathematics 2022-04-19 Oluwasegun Olanrewaju , Shaolong Hu , Zhijie Sasha Dong

In the electric system, extreme weather events can cause trips or physical damage to transmission lines, leading to large-scale load shedding. To mitigate power shedding, we propose a framework that pre-positions the commitment of…

Optimization and Control · Mathematics 2026-04-07 Yongzheng Dai , Antonio J. Conejo , Feng Qiu

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

This paper presents an analysis of the stability and quality of the distributed generation planning problem's investment solution. The entry of distributed generators power based on non-conventional energy sources has been extensively…

Systems and Control · Electrical Eng. & Systems 2021-03-31 Luis Lopez , Alvaro Gonzalez-Castellanos , David Pozo