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This paper deals with distributed control of microgrids composed of storages, generators, renewable energy sources, critical and controllable loads. We consider a stochastic formulation of the optimal control problem associated to the…

Optimization and Control · Mathematics 2021-06-16 Andrea Camisa , Giuseppe Notarstefano

For optimal power flow problems with chance constraints, a particularly effective method is based on a fixed point iteration applied to a sequence of deterministic power flow problems. However, a priori, the convergence of such an approach…

Optimization and Control · Mathematics 2023-12-13 Johannes J. Brust , Mihai Anitescu

Reactive power plays an important role in supporting the real power transfer by maintaining voltage stability and system reliability. It is a critical element for a transmission operator to ensure the reliability of an electric system while…

Neural and Evolutionary Computing · Computer Science 2010-03-25 P. R. Sujin , T. Ruban Deva Prakash , M. Mary Linda

With the continued deployment of synchronized Phasor Measurement Units (PMUs), high sample rate data are rapidly increasing the real time observability of power systems. Prior research has shown that the statistics of these data can provide…

Systems and Control · Computer Science 2018-05-11 Samuel Chevalier , Paul D. H. Hines

Nowadays, the use of soft computational techniques in power systems under the umbrella of machine learning is increasing with good reception. In this paper, we first present a deep learning approach to find the optimal configuration for…

Networking and Internet Architecture · Computer Science 2025-01-14 Davoud Yousefi , Hassan Yari , Farzad Osouli , Mohammad Ebrahimi , Somayeh Esmalifalak , Morteza Johari , Abbas Azarnezhad , Fatemeh Sadeghi , Rogayeh Mirzapour

The integration of renewables gradually replaces the traditional power plants, and this makes that the rotational inertia provided by the power plants is decreasing with time. Virtual inertia emulated by power electronic devices is becoming…

Optimization and Control · Mathematics 2019-03-12 Shuchang Yan

This study deals with the problem of optimizing transmit power in high density heterogeneous networks. In the communication network, effective methods of allocating transmit power, in order to reduce the total transmit power, but still…

Signal Processing · Electrical Eng. & Systems 2021-12-23 Nguyen Doan Hieu , Dao Le Thu Thao , Tran Manh Hoang

Low-voltage distribution feeders were designed to sustain unidirectional power flows to residential neighborhoods. The increased penetration of roof-top photovoltaic (PV) systems has highlighted pressing needs to address power quality and…

Optimization and Control · Mathematics 2014-01-06 Emiliano Dall'Anese , Sairaj V. Dhople , Georgios B. Giannakis

We consider the problem of deriving an explicit approximate solution of the nonlinear power equations that describe a balanced power distribution network. We give sufficient conditions for the existence of a practical solution to the power…

Optimization and Control · Mathematics 2019-07-09 Saverio Bolognani , Sandro Zampieri

High levels of penetration of distributed generation and aggressive reactive power compensation may result in the reversal of power flows in future distribution grids. The voltage stability of these operating conditions may be very…

Dynamical Systems · Mathematics 2015-04-15 Hung D. Nguyen , Konstantin Turitsyn

We formulate the optimal placement, sizing and control of storage devices in a power network to minimize generation costs with the intent of load shifting. We assume deterministic demand, a linearized DC approximated power flow model and a…

Optimization and Control · Mathematics 2014-08-18 Christos Thrampoulidis , Subhonmesh Bose , Babak Hassibi

With high penetrations of renewable generation and variable loads, there is significant uncertainty associated with power flows in DC networks such that stability and operational constraint satisfaction are of concern. Most existing DC…

Optimization and Control · Mathematics 2021-06-14 Jianzhe Liu , Bai Cui , Daniel K. Molzahn , Chen Chen , Xiaonan Lu , Feng Qiu

This paper proves that in an unbalanced multi-phase network with a tree topology, the semidefinite programming relaxation of optimal power flow problems is exact when critical buses are not adjacent to each other. Here a critical bus either…

Optimization and Control · Mathematics 2020-09-15 Fengyu Zhou , Yue Chen , Steven H. Low

The effective management of stochastic characteristics of renewable power generations is vital for ensuring the stable and secure operation of power systems. This paper addresses the task of optimizing the chance-constrained…

Systems and Control · Electrical Eng. & Systems 2024-01-05 Yuanxi Wu , Zhi Wu , Yijun Xu , Huan Long , Wei Gu , Shu Zheng , Jingtao Zhao

Renewable energy resources and power electronics-interfaced loads introduce fast dynamics in distribution networks. These dynamics cannot be regulated by slow conventional solutions and require fast controllable energy resources such as…

Optimization and Control · Mathematics 2022-10-11 H. Sekhavatmaneshand , S. Mastellone

Reinforcement learning (RL) has shown great potential for designing voltage control policies, but their performance often degrades under changing system conditions such as topology reconfigurations and load variations. We introduce a…

Systems and Control · Electrical Eng. & Systems 2026-02-12 Jie Feng , Yuanyuan Shi , Deepjyoti Deka

The AC power flow equations describe the steady-state behavior of the power grid. While many algorithms have been developed to compute solutions to the power flow equations, few theoretical results are available characterizing when such…

Optimization and Control · Mathematics 2017-06-19 Krishnamurthy Dvijotham , Enrique Mallada , John W Simpson-Porco

Higher shares of electricity generation from renewable energy sources and market liberalization is increasing uncertainty in power systems operation. At the same time, operation is becoming more flexible with improved control systems and…

Optimization and Control · Mathematics 2016-09-09 Line Roald , Sidhant Misra , Thilo Krause , Goran Andersson

The assessment of voltage stability margins is a promising direction for wide-area monitoring systems. Accurate monitoring architectures for long-term voltage instability are typically centralized and lack scalability, while completely…

Optimization and Control · Mathematics 2017-09-21 John W. Simpson-Porco , Francesco Bullo

Power distribution systems are increasingly exposed to large voltage fluctuations driven by intermittent renewable generation and time varying loads (e.g., electric vehicles and storage). To address this challenge, a number of advanced…

Systems and Control · Electrical Eng. & Systems 2026-03-25 Yiwei Dong , Wenqi Cui , Han Xu , Adam Wierman , Steven Low
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