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Uncertainties from deepening penetration of renewable energy resources have posed critical challenges to the secure and reliable operations of future electric grids. Among various approaches for decision making in uncertain environments,…

Optimization and Control · Mathematics 2019-04-16 Xinbo Geng , Le Xie

This work proposes a method of wind farm scenario generation to support real-time optimization tools and presents key findings therein. This work draws upon work from the literature and presents an efficient and scalable method for…

Applications · Statistics 2021-06-18 Trevor Werho , Junshan Zhang , Vijay Vittal , Yonghong Chen , Anupam Thatte , Long Zhao

Uncertainties from deepening penetration of renewable energy resources have posed critical challenges to the secure and reliable operations of future electric grids. Among various approaches for decision making in uncertain environments,…

Optimization and Control · Mathematics 2019-04-16 Xinbo Geng , Le Xie

Low-fidelity analytical models of turbine wakes have traditionally been used for wind farm planning, performance evaluation, and demonstrating the utility of advanced control algorithms in increasing the annual energy production. In…

Fluid Dynamics · Physics 2022-08-26 Aditya H. Bhatt , Federico Bernardoni , Stefano Leonardi , Armin Zare

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

This paper considers distribution systems with a high penetration of distributed, renewable generation and addresses the problem of incorporating the associated uncertainty into the optimal operation of these networks. Joint chance…

Optimization and Control · Mathematics 2019-03-07 Kyri Baker , Andrey Bernstein

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

We propose a novel global solution algorithm for the network-constrained unit commitment problem incorporating a nonlinear alternating current model of the transmission network, which is a nonconvex mixed-integer nonlinear programming…

Optimization and Control · Mathematics 2018-11-27 Jianfeng Liu , Anya Castillo , Jean-Paul Watson , Carl D. Laird

In this paper, we focus on modeling and analysis of demand-side management in a microgrid where agents utilize grid energy and a shared battery charged by renewable energy sources. We model the problem as a generalized stochastic dynamic…

Systems and Control · Electrical Eng. & Systems 2023-10-11 Shahram Yadollahi , Hamed Kebriaei , Sadegh Soudjani

Nonlinear model predictive control (NMPC) is an efficient approach for the control of nonlinear multivariable dynamic systems with constraints, which however requires an accurate plant model. Plant models can often be determined from first…

Systems and Control · Electrical Eng. & Systems 2021-08-17 E. Bradford , L. Imsland , M. Reble , E. A. del Rio-Chanona

In this paper, we consider a chance-constrained formulation of the optimal power flow problem to handle uncertainties resulting from renewable generation and load variability. We propose a tuning method that iterates between solving an…

Optimization and Control · Mathematics 2020-05-28 Ashley M. Hou , Line A. Roald

We propose an open loop control scheme for linear systems with time-varying random elements in the plant's state matrix. This paper focuses on joint chance constraints for potentially time-varying target sets. Under assumption of finite and…

Systems and Control · Electrical Eng. & Systems 2023-08-15 Shawn Priore , Ali Bidram , Meeko Oishi

This paper introduces a novel approach for incorporating frequency dynamics into the unit commitment (UC) problem through a general-order differential equation model, solved using Bernstein polynomial approximation. Traditional…

Systems and Control · Electrical Eng. & Systems 2025-09-03 Mohammad Rajabdorri , Bo Zhou , Lukas Sigrist , Enrique Lobato

Unit Commitment (UC) is a core optimization problem in power system operation and electricity market scheduling. It determines the optimal on/off status and dispatch of generating units while satisfying system, operational, and market…

Quantum Physics · Physics 2026-01-06 Milad Hasanzadeh , Ali Rajabi , Amin Kargarian

We present a stochastic model predictive control (MPC) framework for central heating, ventilation, and air conditioning (HVAC) plants. The framework uses real data to forecast and quantify uncertainty of disturbances affecting the system…

Optimization and Control · Mathematics 2020-02-25 Ranjeet Kumar , Michael J. Wenzel , Mohammad N. ElBsat , Michael J. Risbeck , Kirk H. Drees , Victor M. Zavala

Power systems Unit Commitment (UC) problem determines the generator commitment schedule and dispatch decisions for power networks based on forecasted electricity demand. However, with the increasing penetration of renewables and stochastic…

Systems and Control · Electrical Eng. & Systems 2023-09-13 Xuan He , Jiayu Tian , Yufan Zhang , Honglin Wen , Yize Chen

Compared with large-scale physical batteries, aggregated and coordinated generic energy storage (GES) resources provide low-cost, but uncertain, flexibility for power grid operations. While GES can be characterized by different types of…

Optimization and Control · Mathematics 2025-06-10 Ning Qi , Pierre Pinson , Mads R. Almassalkhi , Lin Cheng , Yingrui Zhuang

The integration of physical relationships into stochastic models is of major interest e.g. in data assimilation. Here, a multivariate Gaussian random field formulation is introduced, which represents the differential relations of the…

Applications · Statistics 2018-02-14 Rüdiger Hewer , Petra Friederichs , Andreas Hense , Martin Schlather

The unit commitment (UC) problem, which determines operating schedules of generation units to meet demand, is a fundamental task in power systems operation. Existing UC methods using mixed-integer programming are not well-suited to highly…

Systems and Control · Electrical Eng. & Systems 2022-12-13 Patrick de Mars

In light of a reliable and resilient power system under extreme weather and natural disasters, networked microgrids integrating local renewable resources have been adopted extensively to supply demands when the main utility experiences…

Systems and Control · Electrical Eng. & Systems 2022-02-09 Yifu Ding , Thomas Morstyn , Malcolm D. McCulloch