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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

This work derives an approximate analytical single period solution of the portfolio choice problem for the power utility function. It is possible to do so if we consider that the asset returns follow a multivariate normal distribution. It…

Portfolio Management · Quantitative Finance 2021-10-13 Dmytro Ivasiuk

In this paper a novel distributed control algorithm for current sharing and voltage regulation in Direct Current (DC) microgrids is proposed. The DC microgrid is composed of several Distributed Generation units (DGUs), including Buck…

Optimization and Control · Mathematics 2018-05-01 Michele Cucuzzella , Sebastian Trip , Claudio De Persis , Xiaodong Cheng , Antonella Ferrara , Arjan van der Schaft

Topology optimization is a promising approach for mitigating congestion and managing changing grid conditions, but it is computationally challenging and requires approximations. Conventional distribution factors like PTDFs and LODFs, based…

Optimization and Control · Mathematics 2026-03-19 Maurizio Titz , Dirk Witthaut , Joost van Dijk , Benjamin Petrick , Nico Westerbeck

This work considers stochastic operators in general inner-product spaces, and in particular, systems with stochastically time-varying input delays of a known probability distribution. Stochastic dissipativity and stability are defined from…

Optimization and Control · Mathematics 2024-04-22 Ethan LoCicero , Amy Strong , Leila Bridgeman

High renewable energy penetration into power distribution systems causes a substantial risk of exceeding voltage security limits, which needs to be accurately assessed and properly managed. However, the existing methods usually rely on the…

Systems and Control · Electrical Eng. & Systems 2024-11-08 Yuanhai Gao , Xiaoyuan Xu , Zheng Yan , Mohammad Shahidehpour , Bo Yang , Xinping Guan

The growing integration of renewable energy sources into distribution networks poses significant challenges to frequency and voltage stability due to their intermittent nature and low-inertia dynamics. This paper proposes a multilevel…

Systems and Control · Electrical Eng. & Systems 2026-01-13 Xian Wu , Jan H. van Schuppen , Hai Xiang Lin

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

The wide deployment of renewable generation and the gradual decrease in the overall system inertia make modern power grids more vulnerable to transient instabilities and unacceptable frequency fluctuations. Time-domain simulation-based…

Optimization and Control · Mathematics 2020-03-03 Dongchan Lee , Liviu Aolaritei , Thanh Long Vu , Konstantin Turitsyn

The class of $\alpha$-stable distributions is widely used in various applications, especially for modelling heavy-tailed data. Although the $\alpha$-stable distributions have been used in practice for many years, new methods for…

Methodology · Statistics 2022-12-29 Kewin Pączek , Damian Jelito , Marcin Pitera , Agnieszka Wyłomańska

A notion of disturbance propagation stability is defined for dynamical network processes, in terms of decrescence of an input-output energy metric along cutsets away from the disturbance source. A characterization of the disturbance…

Systems and Control · Electrical Eng. & Systems 2022-10-11 Sandip Roy , Subir Sarker , Mengran Xue

Stability analysis of a power network and its characterization (voltage or angle) is an important problem in the power system community. However, these problems are mostly studied using linearized models and participation factor analysis.…

Systems and Control · Electrical Eng. & Systems 2021-10-15 Subhrajit Sinha , Pranav Sharma , Venkataramana Ajjarapu , Umesh Vaidya

Distributed consensus-based controllers for optimal secondary frequency regulation of microgrids and power systems have received substantial attention in recent years. This paper provides a Lyapunov-based proof that, under a time-scale…

Optimization and Control · Mathematics 2020-03-11 John W. Simpson-Porco

Optimal operation of distribution grid resources relies on accurate estimation of its state and topology. Practical estimation of such quantities is complicated by the limited presence of real-time meters. This paper discusses a theoretical…

Systems and Control · Computer Science 2020-01-06 Deepjyoti Deka , Michael Chertkov , Scott Backhaus

This paper proposes a linear approximation of the alternating current optimal power flow problem for multiphase distribution networks with voltage-dependent loads connected in both wye and delta configurations. We establish a set of linear…

Optimization and Control · Mathematics 2024-04-11 Geunyeong Byeon , Minseok Ryu , Kibaek Kim

With the increasing penetration of Inverter-Based Resources (IBRs) and their impact on power system stability and operation, the concept of stability-constrained optimization has drawn significant attention from researchers. In order to…

Systems and Control · Electrical Eng. & Systems 2024-04-23 Zhongda Chu , Fei Teng

A new method for the stability assessment of inverter-based microgrids is presented in this paper. Directly determining stability boundaries by searching the multidimensional space of inverters' droop gains is a computationally prohibitive…

Systems and Control · Electrical Eng. & Systems 2021-11-02 Andrey Gorbunov , Jimmy Chih-Hsien Peng , Janusz W. Bialek , Petr Vorobev

In this paper, we develop a distributionally robust chance-constrained formulation of the Optimal Power Flow problem (OPF) whereby the system operator can leverage contextual information. For this purpose, we exploit an ambiguity set based…

Optimization and Control · Mathematics 2022-10-05 Adrián Esteban-Pérez , Juan M. Morales

This paper proposes a novel Gronwall inequality-based method for transient stability assessment for power systems. The challenges of applying such methods to power systems are how to construct the differential inequality and how to treat…

Systems and Control · Electrical Eng. & Systems 2023-11-07 Qian Zhang , Deqiang Gan

Voltage prediction in distribution grids is a critical yet difficult task for maintaining power system stability. Machine learning approaches, particularly Graph Neural Networks (GNNs), offer significant speedups but suffer from poor…

Machine Learning · Computer Science 2025-12-09 Ehimare Okoyomon , Arbel Yaniv , Christoph Goebel