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In this paper we analyze the effect of two modelling approaches for supply planning problems under uncertainty: two-stage stochastic programming (SP) and robust optimization (RO). The comparison between the two approaches is performed…

Optimization and Control · Mathematics 2016-11-22 Francesca Maggioni , Florian Potra , Marida Bertocchi

A coordinated economic dispatch method for multi-area power systems is proposed. Choosing boundary phase angles as coupling variables, the proposed method exploits the structure of critical regions in local problems defined by active and…

Optimization and Control · Mathematics 2016-06-14 Ye Guo , Lang Tong , Wenchuan Wu , Boming Zhang , Hongbin Sun

This paper considers a class of reinforcement learning problems, which involve systems with two types of states: stochastic and pseudo-stochastic. In such systems, stochastic states follow a stochastic transition kernel while the…

Machine Learning · Computer Science 2023-11-09 Honghao Wei , Xin Liu , Weina Wang , Lei Ying

Time-series information needs to be incorporated into energy system optimization to account for the uncertainty of renewable energy sources. Typically, time-series aggregation methods are used to reduce historical data to a few…

Optimization and Control · Mathematics 2025-05-22 Moritz Wedemeyer , Eike Cramer , Alexander Mitsos , Manuel Dahmen

We propose an energy-driven stochastic master equation for the density matrix as a dynamical model for quantum state reduction. In contrast, most previous studies of state reduction have considered stochastic extensions of the Schr\"odinger…

Quantum Physics · Physics 2016-12-30 Dorje C. Brody , Lane P. Hughston

Scenario reduction is an important topic in stochastic programming problems. Due to the random behavior of load and renewable energy, stochastic programming becomes a useful technique to optimize power systems. Thus, scenario reduction gets…

Signal Processing · Electrical Eng. & Systems 2019-09-02 Qiao Li , David Wenzhong Gao

A reinforcement algorithm solves a classical optimization problem by introducing a feedback to the system which slowly changes the energy landscape and converges the algorithm to an optimal solution in the configuration space. Here, we use…

Disordered Systems and Neural Networks · Physics 2017-11-08 A. Ramezanpour

Smart distribution grids should efficiently integrate stochastic renewable resources while effecting voltage regulation. The design of energy management schemes is challenging, one of the reasons being that energy management is a multistage…

Optimization and Control · Mathematics 2016-08-19 Luis M. Lopez-Ramos , Vassilis Kekatos , Antonio G. Marques , Georgios B. Giannakis

The dynamic dispatch (DD) of battery energy storage systems (BESSs) in microgrids integrated with volatile energy resources is essentially a multiperiod stochastic optimization problem (MSOP). Because the life span of a BESS is…

Systems and Control · Electrical Eng. & Systems 2020-07-07 Yuwei Shang , Wenchuan Wu , Jianbo Guo , Zhe Lv , Zhao Ma , Wanxing Sheng , Ran Chen

Quantum computing provides a novel approach to addressing conventionally intractable issues in large-scale optimization. Space logistics missions require the efficient routing of payloads, spacecraft, and resources across complex networks,…

Optimization and Control · Mathematics 2025-01-10 Amiratabak Bahengam , Mohammad-Ali Miri , R. Joseph Rupert , Wesley Dyk , Hao Chen

The two-stage stochastic unit commitment problem has become an important tool to support decision-making under uncertainty in power systems. Representing the uncertainty by a large number of scenarios guarantees accurate results but…

Optimization and Control · Mathematics 2025-12-23 Yannick Werner , Juan Miguel Morales , Salvador Pineda , Line Roald , Sonja Wogrin

A system's internal dynamics and its interaction with the environment can be determined by tracking how external perturbations affect its transition rates between states. Quantitative measurements of these rates are crucial for optimizing…

Decentralized energy management is of paramount importance in smart microgrids with renewables for various reasons including environmental friendliness, reduced communication overhead, and resilience to failures. In this context, the…

Optimization and Control · Mathematics 2014-01-24 Yu Zhang , Georgios B. Giannakis

This paper considers a security constrained dispatch problem involving generation and line contingencies in the presence of the renewable generation. The uncertainty due to renewables is modeled using joint chance-constraint and the…

Optimization and Control · Mathematics 2022-08-17 Amin Maghami , Evrim Ursavas , Ashish Cherukuri

Uncoordinated charging of a rapidly growing number of electric vehicles (EVs) and the uncertainty associated with renewable energy resources may constitute a critical issue for the electric mobility (E-Mobility) in the transportation system…

Optimization and Control · Mathematics 2020-06-30 Hwei-Ming Chung , Sabita Maharjan , Yan Zhang , Frank Eliassen

Security-Constrained Unit Commitment (SCUC) is one of the most significant problems in secure and optimal operation of modern electricity markets. New sources of uncertainties such as wind speed volatility and price-sensitive loads impose…

Optimization and Control · Mathematics 2017-01-25 Mahdi Mehrtash , Mahdi Raoofat , Mohammad Mohammadi , Mohammad Hossein Zakernejad

To stabilize the frequency of the renewable energy sources (RESs) dominated power system, frequency supports are required by RESs through virtual inertia emulation or droop control in the newly published grid codes. Since the long-term RES…

Systems and Control · Electrical Eng. & Systems 2023-03-14 Yukang Shen , Wenchuan Wu , Shumin Sun , Bin Wang

In order to protect the environment and address fossil fuel scarcity, renewable energy is increasingly used for power generation. However, due to the uncertainties it brings to electricity production, deterministic optimization is no longer…

Optimization and Control · Mathematics 2022-12-13 Shuhan Lyu

This paper proposes a novel consensus-based distributed control algorithm for solving the economic dispatch problem of distributed generators. A legacy central controller can be eliminated in order to avoid a single point of failure,…

Optimization and Control · Mathematics 2017-09-28 Hajir Pourbabak , Jingwei Luo , Tao Chen , Wencong Su

Combined heat and power systems facilitate efficient interactions between individual energy sectors for higher renewable energy accommodation. However, the feasibility of operational strategies is difficult to guarantee due to the presence…

Systems and Control · Electrical Eng. & Systems 2021-03-22 Yibao Jiang , Can Wan , Audun Botterud , Yonghua Song , Zhao Yang Dong
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