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Due to the limited predictability of wind power and other stochastic generation, trading this energy in competitive electricity markets is challenging. This paper derives revenue-maximising and risk-constrained strategies for stochastic…

General Finance · Quantitative Finance 2018-05-31 Jethro Browell

Managing uncertainty and variability in power injections has become a major concern for power system operators due to the increasing levels of fluctuating renewable energy connected to the grid. This work addresses this uncertainty via a…

Optimization and Control · Mathematics 2020-05-05 Alejandra Pena-Ordieres , Daniel Molzahn , Line Roald , Andreas Waechter

Many engineered systems, such as energy and transportation infrastructures, are networks governed by non-linear physical laws. A primary challenge for operators of these networks is to achieve optimal utilization while maintaining safety…

Optimization and Control · Mathematics 2018-03-08 Tillmann Weisser , Line Roald , Sidhant Misra

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 uncertainty quantification and risk modeling are hot topics in the operation and planning of energy systems. The system operators and planners are decision-makers that need to handle the uncertainty of input data of their models. As an…

Systems and Control · Electrical Eng. & Systems 2019-12-03 Majid Majidi , Behnam Mohammadi-Ivatlooa , Alireza Soroudi

We consider the Chance Constrained Model Predictive Control problem for polynomial systems subject to disturbances. In this problem, we aim at finding optimal control input for given disturbed dynamical system to minimize a given cost…

Optimization and Control · Mathematics 2016-05-04 Ashkan Jasour , Constantino Lagoa

This paper investigates the uncertain power flow analysis in distribution networks within the context of renewable power resources integration such as wind and solar power. The analysis aims to bound the worst-case voltage magnitude in any…

Systems and Control · Computer Science 2018-07-03 Khaled Laib , Anton Korniienko , Florent Morel , Gérard Scorletti

Iterative trajectory optimization techniques for non-linear dynamical systems are among the most powerful and sample-efficient methods of model-based reinforcement learning and approximate optimal control. By leveraging time-variant local…

Systems and Control · Electrical Eng. & Systems 2019-08-01 Onur Celik , Hany Abdulsamad , Jan Peters

With the ongoing investment in data collection and communication technology in power systems, data-driven optimization has been established as a powerful tool for system operators to handle stochastic system states caused by weather- and…

Optimization and Control · Mathematics 2023-12-18 Robert Mieth , Juan M. Morales , H. Vincent Poor

There are numerous industrial settings in which a decision maker must decide whether to enter into long-term contracts to guarantee price (and hence cash flow) stability or to participate in more volatile spot markets. In this paper, we…

Optimization and Control · Mathematics 2025-01-28 Dimitri J. Papageorgiou

Electricity systems are experiencing increased effects of randomness and variability due to emerging stochastic assets. The increased effects introduce new uncertainties into power systems that can impact system operability and reliability.…

Systems and Control · Electrical Eng. & Systems 2022-11-10 Naeem Turner-Bandele , Amritanshu Pandey , Larry Pileggi

The penetration of distributed energy resources (DERs) is increasing dramatically. Due to the uncertainty of DERs, the operation of the distribution system is facing higher risks and challenges. To overcome such challenges, a two-stage…

Systems and Control · Electrical Eng. & Systems 2020-05-07 Mingyue He , Zahra Soltani , Mojdeh Khorsand

Linearized models of power systems are often desirable to formulate tractable control and optimization problems that still reflect real-world physics adequately under various operating conditions. In this paper, we propose an approach that…

Optimization and Control · Mathematics 2018-05-28 Marc Hohmann , Joseph Warrington , John Lygeros

In data-driven optimization, solution feasibility is often ensured through a "safe" reformulation of the uncertain constraints, such that an obtained data-driven solution is guaranteed to be feasible for the oracle formulation with high…

Optimization and Control · Mathematics 2019-09-17 Henry Lam , Huajie Qian

Optimal scheduling of batteries has significant potential to reduce electricity costs and to enhance grid resilience. However, effective battery scheduling must account for both physical constraints as well as uncertainties in consumption…

Optimization and Control · Mathematics 2026-04-01 Janik Pinter , Maximilian Beichter , Ralf Mikut , Veit Hagenmeyer , Frederik Zahn

The ever-increasing integration of stochastic renewable energy sources into power systems operation is making the supply-demand balance more challenging. While joint chance-constrained methods are equipped to model these complexities and…

Systems and Control · Electrical Eng. & Systems 2025-01-23 Meiyi Li , Javad Mohammadi

We present a novel data-driven distributionally robust Model Predictive Control formulation for unknown discrete-time linear time-invariant systems affected by unknown and possibly unbounded additive uncertainties. We use off-line collected…

Optimization and Control · Mathematics 2022-09-20 Francesco Micheli , Tyler Summers , John Lygeros

Worldwide commitments to net zero greenhouse emissions have accelerated investments in renewable energy resources. The requirements for operating and planning power systems are becoming stringent because of the need to take into account the…

Optimization and Control · Mathematics 2022-07-21 Aiusha Sangadiev , Alvaro Gonzalez-Castellanos , David Pozo

Power grid expansion planning requires making large investment decisions in the present that will impact the future cost and reliability of a system exposed to wide-ranging uncertainties. Extreme temperatures can pose significant challenges…

Optimization and Control · Mathematics 2024-05-30 Ramsey Rossmann , Mihai Anitescu , Julie Bessac , Michael Ferris , Mitchell Krock , James Luedtke , Line Roald

We consider optimal decision-making problems in an uncertain environment. In particular, we consider the case in which the distribution of the input is unknown, yet there is abundant historical data drawn from the distribution. In this…

Optimization and Control · Mathematics 2014-10-03 Zizhuo Wang , Peter Glynn , Yinyu Ye