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Dependency on the preparation of state for the Heisenberg uncertainty principle can be removed with the help of entropy uncertainty principle. The shortness of the uncertainty principle (UP) can be overcome with the help of the concept of…

Quantum Physics · Physics 2020-07-27 Pinaki Patra , Kalpana Biswas

Energy infrastructure planning under uncertainty has become increasingly complex as electrification, interdependence between energy carriers, decarbonization, and extreme weather events reshape long-term investment decisions. This paper…

Systems and Control · Electrical Eng. & Systems 2026-04-14 Rahman Khorramfar , Aron Brenner , Lara Booth , Ana Rivera , Ruaridh Macdonald , Priya Donti , Saurabh Amin

The ability of deeply decarbonised power systems to ensure adequacy may increasingly depend on long-duration energy storage (LDES). A central challenge is whether capacity markets (CMs), originally designed around thermal generation, can…

Systems and Control · Electrical Eng. & Systems 2025-12-30 Adam Suski , Elina Spyrou , Richard Green

The deep penetration of wind and solar power is a critical component of the future power grid. However, the intermittency and stochasticity of these renewable resources bring significant challenges to the reliable and economic operation of…

Optimization and Control · Mathematics 2016-08-11 Alvaro Lorca , Xu Andy Sun

Deep neural networks can be roughly divided into deterministic neural networks and stochastic neural networks.The former is usually trained to achieve a mapping from input space to output space via maximum likelihood estimation for the…

Traditional bulk load flexibility options, such as load shifting and load curtailment, for managing uncertainty in power markets limit the diversity of options and ignore the preferences of the individual loads, thus reducing efficiency and…

Systems and Control · Electrical Eng. & Systems 2021-12-20 Majid Majidi , Deepan Muthirayan , Masood Parvania , Pramod P. Khargonekar

The study of optimal control problems under uncertainty plays an important role in scientific numerical simulations. This class of optimization problems is strongly utilized in engineering, biology and finance. In this paper, a stochastic…

Optimization and Control · Mathematics 2023-04-06 Caroline Geiersbach , Teresa Scarinci

With the growing share of renewable energy sources, the uncertainty in power supply is increasing. In addition to the inherent fluctuations in the renewables, this is due to the threat of deliberate malicious attacks, which may become more…

Systems and Control · Electrical Eng. & Systems 2024-02-15 Sarah Braun , Sebastian Albrecht , Sergio Lucia

This paper addresses the problem of robust stabilization for linear hyperbolic Partial Differential Equations (PDEs) with Markov-jumping parameter uncertainty. We consider a 2 x 2 heterogeneous hyperbolic PDE and propose a control law using…

Systems and Control · Electrical Eng. & Systems 2026-03-13 Yihuai Zhang , Jean Auriol , Huan Yu

A modified Deep BSDE (backward differential equation) learning method with measurability loss, called Deep BSDE-ML method, is introduced in this paper to solve a kind of linear decoupled forward-backward stochastic differential equations…

Optimization and Control · Mathematics 2022-01-06 Yutian Wang , Yuan-Hua Ni

This paper presents a novel methodology for tractably solving optimal control and offline reinforcement learning problems for high-dimensional systems. This work is motivated by the ongoing challenges of safety, computation, and optimality…

Optimization and Control · Mathematics 2022-07-06 Aaron Kandel , Saehong Park , Scott Moura

To fully learn the latent temporal dependencies from post-disturbance system dynamic trajectories, deep learning is utilized for short-term voltage stability (STVS) assessment of power systems in this paper. First of all, a semi-supervised…

Signal Processing · Electrical Eng. & Systems 2021-02-25 Meng Zhang , Jiazheng Li , Yang Li , Runnan Xu

Deep reinforcement learning (DRL) has emerged as a promising approach for developing more intelligent autonomous vehicles (AVs). A typical DRL application on AVs is to train a neural network-based driving policy. However, the black-box…

Artificial Intelligence · Computer Science 2023-05-15 Weitao Zhou , Zhong Cao , Nanshan Deng , Kun Jiang , Diange Yang

Integration of renewable energy sources and emerging loads like electric vehicles to smart grids brings more uncertainty to the distribution system management. Demand Side Management (DSM) is one of the approaches to reduce the uncertainty.…

Machine Learning · Computer Science 2021-09-28 Elahe Khoshbakhti Vaygan , Roozbeh Rajabi , Abouzar Estebsari

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

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

We present a method for solving a large-scale stochastic capacity expansion problem which explicitly considers reliability constraints, in particular constraints on expected energy not served. Our method tackles this problem by a Lagrange…

Systems and Control · Electrical Eng. & Systems 2025-01-30 Marilena Zampara , Daniel Ávila , Anthony Papavasiliou

We consider the optimal power management in renewable driven smart building MicroGrid under noise corrupted conditions as a stochastic optimization problem. We first propose our user satisfaction and electricity consumption balanced (USECB)…

Systems and Control · Computer Science 2018-02-23 Yan Shen , Zhonghao Sun , Qinglong Wang

Decarbonization of isolated or off-grid energy systems through phase-in of large shares of intermittent solar or wind generation requires co-installation of energy storage or continued use of existing fossil dispatchable power sources to…

Systems and Control · Electrical Eng. & Systems 2026-01-08 Simon Halvdansson , Lucas Ferreira Bernardino , Brage Rugstad Knudsen

The increasing use of renewable energy sources (RESs) and responsive loads has made power systems more uncertain. Meanwhile, thanks to the development of advanced metering and forecasting technologies, predictions by RESs and load owners…

Optimization and Control · Mathematics 2023-08-01 Rui Xie , Pierre Pinson , Yin Xu , Yue Chen