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Increasing penetration of wind and renewable generation poses significant challenges to the power system operations and reliability. This paper considers the real-time optimal transmission switching (OTS) problem for determining the…

Optimization and Control · Mathematics 2020-02-05 Yuqi Zhou , Hao Zhu , Grani A. Hanasusanto

In this paper, we introduce a new class of decision rules, referred to as Constant Depth Decision Rules (CDDRs), for multistage optimization under linear constraints with uncertainty-affected right-hand sides. We consider two uncertainty…

Optimization and Control · Mathematics 2021-02-23 Vincent Guigues , Anatoli Juditsky , Arkadi Nemirovski

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

Multi-stage stochastic linear programs (MSLPs) are notoriously hard to solve in general. Linear decision rules (LDRs) yield an approximation of an MSLP by restricting the decisions at each stage to be an affine function of the observed…

Optimization and Control · Mathematics 2018-03-20 Merve Bodur , James Luedtke

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

The disturbances from variable and uncertain renewable generation propagate from power systems to natural gas networks, causing gas network operators to adjust gas supply nominations to ensure operational security. To alleviate expensive…

Optimization and Control · Mathematics 2022-07-12 Vladimir Dvorkin , Dharik Mallapragada , Audun Botterud , Jalal Kazempour , Pierre Pinson

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

The solution of multistage stochastic linear problems (MSLP) represents a challenge for many application areas. Long-term hydrothermal dispatch planning (LHDP) materializes this challenge in a real-world problem that affects electricity…

Optimization and Control · Mathematics 2023-01-06 Felipe Nazare , Alexandre Street

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

Significant outages from weather and climate extremes have highlighted the critical need for resilience-centered risk management of the grid. This paper proposes a multi-stage stochastic robust optimization (SRO) model that advances the…

Multiagent Systems · Computer Science 2022-05-24 Nariman L. Dehghani , Abdollah Shafieezadeh

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

Day-ahead scheduling of electricity generation or unit commitment is an important and challenging optimization problem in power systems. Variability in net load arising from the increasing penetration of renewable technologies have…

Optimization and Control · Mathematics 2018-08-06 Ali Irfan Mahmutogullari , Shabbir Ahmed , Ozlem Cavus , M. Selim Akturk

One of the major issues with the integration of renewable energy sources into the power grid is the increased uncertainty and variability that they bring. If this uncertainty is not sufficiently addressed, it will limit the further…

Optimization and Control · Mathematics 2017-05-15 Joshua Comden , Zhenhua Liu , Yue Zhao

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

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

With the rapid growth in renewable energy and battery storage technologies, there exists significant opportunity to improve energy efficiency and reduce costs through optimization. However, optimization algorithms must take into account the…

Optimization and Control · Mathematics 2019-02-19 Chaitanya Poolla , Abraham K. Ishihara , Rodolfo Milito

Multi-stage decision problems under uncertainty can be efficiently solved with the Stochastic Dual Dynamic Programming (SDDP) algorithm. However, traditional implementations require all stage problems to be feasible. Feasibility is usually…

Optimization and Control · Mathematics 2025-12-04 Guilherme Freitas , Luiz Carlos da Costa Junior , Tiago Andrade , Alexandre Street

Off-grid microgrids powered entirely by renewable energy sources face substantial challenges in achieving utility-grade reliability standards. Existing microgrid planning frameworks often prioritize cost minimization while treating…

Systems and Control · Electrical Eng. & Systems 2026-05-19 Mohammed Zeehan Saleheen , Markus Wagner , Hao Wang

Phase balancing is essential to safe power system operation. We consider a substation connected to multiple phases, each with single-phase loads, generation, and energy storage. A representative of the substation operates the system and…

Optimization and Control · Mathematics 2015-11-30 Sun Sun , Ben Liang , Min Dong , Joshua A. Taylor

Multi-stage financial decision optimization under uncertainty depends on a careful numerical approximation of the underlying stochastic process, which describes the future returns of the selected assets or asset categories. Various…

Neural and Evolutionary Computing · Computer Science 2010-04-27 Ronald Hochreiter
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