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This paper introduces a new computational framework to account for uncertainties in day-ahead electricity market clearing process in the presence of demand response providers. A central challenge when dealing with many demand response…

Signal Processing · Electrical Eng. & Systems 2017-12-01 Hao Ming , Le Xie , Marco Campi , Simone Garatti , P. R. Kumar

High wind energy penetration critically challenges the economic dispatch of current and future power systems. Supply and demand must be balanced at every bus of the grid, while respecting transmission line ratings and accounting for the…

Optimization and Control · Mathematics 2013-05-28 Yu Zhang , Nikolaos Gatsis , Vassilis Kekatos , Georgios B. Giannakis

We consider the problem of look-ahead economic dispatch (LAED) with uncertain renewable energy generation. The goal of this problem is to minimize the cost of conventional energy generation subject to uncertain operational constraints. The…

Optimization and Control · Mathematics 2021-04-22 Bala Kameshwar Poolla , Ashish R. Hota , Saverio Bolognani , Duncan S. Callaway , Ashish Cherukuri

This paper considers the economic dispatch problem for a network of power generators and customers. In particular, our aim is to minimize the total generation cost under the power supply-demand balance and the individual generation capacity…

Systems and Control · Computer Science 2021-01-11 Hyeonjun Yun , Hyungbo Shim , Hyo-Sung Ahn

Economic Load Dispatch (ELD) is one of the essential components in power system control and operation. Although conventional ELD formulation can be solved using mathematical programming techniques, modern power system introduces new models…

Neural and Evolutionary Computing · Computer Science 2015-07-28 James J. Q. Yu , Victor O. K. Li

Nonlinear programming problems are useful in designing and assigning work schedule and also in transporting goods and services from known sources to specified destinations. The objective function could be linear or nonlinear depending on…

Optimization and Control · Mathematics 2020-02-11 Issaka Haruna , Mubarack Ahmed , Shaibu Osman

This letter proposes a data-driven sparse polynomial chaos expansion-based surrogate model for the stochastic economic dispatch problem considering uncertainty from wind power. The proposed method can provide accurate estimations for the…

Signal Processing · Electrical Eng. & Systems 2021-09-20 Xiaoting Wang , Rong-Peng Liu , Xiaozhe Wang , Yunhe Hou , François Bouffard

As load varies continuously over time, it is essential to provide continuous-time price signals that accurately reflect supply-demand balance. However, conventional discrete-time economic dispatch fails to capture the intra-temporal…

Systems and Control · Electrical Eng. & Systems 2026-01-28 Menghan Zhang , Caisheng Wang

We consider a model-independent pricing problem in a fixed-income market and show that it leads to a weak optimal transport problem as introduced by Gozlan et al. We use this to characterize the extremal models for the pricing of caplets on…

Probability · Mathematics 2023-08-28 Beatrice Acciaio , Mathias Beiglboeck , Gudmund Pammer

Gas-fired units (GFUs) with rapid regulation capabilities are considered an effective tool to mitigate fluctuations in the generation of renewable energy sources and have coupled electricity power systems (EPSs) and natural gas systems…

Systems and Control · Electrical Eng. & Systems 2024-08-16 eiyao Zhao , Zhengshuo Li , Jiahui Zhang , Xiang Bai , Jia Su

Locational marginal emissions rates (LMEs) estimate the rate of change in emissions due to a small change in demand in a transmission network, and are an important metric for assessing the impact of various energy policies or interventions.…

Systems and Control · Electrical Eng. & Systems 2023-03-10 Lucas Fuentes Valenzuela , Anthony Degleris , Abbas El Gamal , Marco Pavone , Ram Rajagopal

The classical problem of optimal transportation can be formulated as a linear optimization problem on a convex domain: among all joint measures with fixed marginals find the optimal one, where optimality is measured against a cost function.…

Optimization and Control · Mathematics 2012-11-29 Jonathan Korman , Robert J. McCann

A partially distributed economic dispatch algorithm, which renders optimal value in fixed time with the objective of supplying the load requirement as well as the power transmission losses, is proposed in this paper. The transmission losses…

Optimization and Control · Mathematics 2022-01-25 Shivanshu Tripathi , Anoop Jain , Abhisek K. Behera

Over the past decade, the rapid adoption of intermittent renewable energy sources (RES), especially wind and solar generation, has posed challenges in managing real-time uncertainty and variability. In the U.S., Independent System Operators…

Optimization and Control · Mathematics 2024-10-24 Haoruo Zhao , Mathieu Tanneau , Pascal Van Hentenryck

This paper focuses on the problem of determining a minimum-cost fleet of battery electric ships for a given liner shipping operation. The problem is strongly nonlinear and includes integer-valued decision variables, which make it…

Optimization and Control · Mathematics 2026-01-06 Antti Ritari , Jani Romanoff , Kari Tammi

This work considers the task of finding an AC-feasible operating point of a severely damaged transmission network while ensuring that a maximal amount of active power loads can be delivered. This AC Maximal Load Delivery (AC-MLD) task is a…

Optimization and Control · Mathematics 2018-10-16 Carleton Coffrin , Russell Bent , Byron Tasseff , Kaarthik Sundar , Scott Backhaus

Accurately modeling power distribution grids is crucial for designing effective monitoring and decision making algorithms. This paper addresses the partial observability issue of data-driven distribution modeling in order to improve the…

Signal Processing · Electrical Eng. & Systems 2021-10-08 Shanny Lin , Hao Zhu

In this article, we consider transport networks with uncertain demands. Network dynamics are given by linear hyperbolic partial differential equations and suitable coupling conditions, while demands are incorporated as solutions to…

Optimization and Control · Mathematics 2022-08-16 Simone Göttlich , Thomas Schillinger

A prominent model for transportation networks is branched transport, which seeks the optimal transportation scheme to move material from a given initial to a final distribution. The cost of the scheme encodes a higher transport efficiency…

Classical Analysis and ODEs · Mathematics 2020-09-04 Alessio Brancolini , Benedikt Wirth

The increasing global spread of electric vehicles (EVs) has introduced significant interdependence between transportation and power networks. Most of the previous studies on coupled networks focus on the formation of equilibrium states…

Systems and Control · Electrical Eng. & Systems 2023-04-10 Jiaqi Li , Xiaoyuan Xu , Zheng Yan , Han Wang , Yue Chen