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By providing the optimal operating point that satisfies both the power flow equations and engineering limits, the optimal power flow (OPF) problem is central to power systems operations. While extensive research has focused on computing…

Systems and Control · Electrical Eng. & Systems 2025-11-25 Mohammad Rasoul Narimani , Katherine R. Davis , Daniel K. Molzahn

Interconnection studies for distributed energy resources (DERs) can currently take months since they entail simulating a large number of power flow scenarios. If DERs are to be actively controlled, probabilistic hosting capacity analysis…

Optimization and Control · Mathematics 2020-09-30 Sina Taheri , Mana Jalali , Vassilis Kekatos , Lang Tong

Many mainstream robust control/estimation algorithms for power networks are designed using the Lyapunov theory as it provides performance guarantees for linear/nonlinear models of uncertain power networks but comes at the expense of…

Systems and Control · Electrical Eng. & Systems 2023-12-01 MirSaleh Bahavarnia , Muhammad Nadeem , Ahmad F. Taha

This paper presents a complex systems overview of a power grid network. In recent years, concerns about the robustness of the power grid have grown because of several cascading outages in different parts of the world. In this paper,…

Adaptation and Self-Organizing Systems · Physics 2010-06-24 Sakshi Pahwa , Amelia Hodges , Caterina Scoglio , Sean Wood

The rise in residential photovoltaics and other distributed energy sources poses unprecedented challenges for the operation of power distribution grids. When high amounts of active power are injected into the grid by such power sources, the…

Systems and Control · Electrical Eng. & Systems 2024-03-01 Jonas G. Matt , Lukas Ortmann , Saverio Bolognani , Florian Dörfler

The rapid development of distributed energy resources (DERs) has brought many challenges to the operation of distribution networks in recent years, where operating envelopes (OEs), as a key enabler to facilitate DER integration via virtual…

Optimization and Control · Mathematics 2023-02-17 Bin Liu , Jin Ma

As power systems become more complex and uncertain, low-voltage distribution networks face numerous challenges, including three-phase imbalances caused by asymmetrical loads and distributed energy resources. We propose a robust stochastic…

Systems and Control · Electrical Eng. & Systems 2024-04-25 Rui Wang , Xiaoqing Bai , Shengquan Huang , Shoupu Wei

Dispatching a large fleet of distributed energy resources (DERs) in response to wholesale energy market or regional grid signals requires solving a challenging disaggregation problem when the DERs are located within a distribution network.…

Optimization and Control · Mathematics 2021-10-22 Nawaf Nazir , Mads Almassalkhi

The growing penetration of distributed energy resources (DERs) is leading to continually changing operating conditions, which need to be managed efficiently by distribution grid operators. The intermittent nature of DERs such as solar…

Systems and Control · Electrical Eng. & Systems 2022-07-21 Kshitij Girigoudar , Ashley M. Hou , Line A. Roald

The multitudes of inverter-based distributed energy resources (DERs) can be envisioned as distributed reactive power (var) devices (\textit{mini-SVCs}) that can offer var flexibility at TSO-DSO interface. To facilitate this vision, a…

Optimization and Control · Mathematics 2022-09-07 Ankit Singhal , Venkataramana Ajjarapu

Active distribution networks facilitating bidirectional power exchange with renewable energy resources are susceptible to cyberattacks due to integration of a diverse array of cyber components. This study introduces a grid-level defense…

Systems and Control · Electrical Eng. & Systems 2025-11-18 Hampei Sasahara , Tatsuya Yamada , Jun-ichi Imura , Henrik Sandberg

Extreme weather is straining electricity systems, exposing the limitations of reactive responses, and prompting the need for proactive resilience planning. Most existing approaches to enhance electricity system resilience employ simplified…

Machine Learning · Computer Science 2025-10-03 Shuyi Chen , Shixiang Zhu , Ramteen Sioshansi

Recent development of techniques that improve the convergence properties of power flow simulation have been demonstrated to facilitate scaling to large system sizes (80k+ buses). However, the problem remains to reliably identify cases that…

Signal Processing · Electrical Eng. & Systems 2019-12-10 Marko Jereminov , David M. Bromberg , Amritanshu Pandey , Martin R. Wagner , Larry Pileggi

This paper uses convex inner approximations (CIA) of the AC power flow to tackle the optimization problem of quantifying a three-phase distribution feeder's capacity to host distributed energy resources (DERs). This is often connoted…

Systems and Control · Electrical Eng. & Systems 2023-11-01 Hani Mavalizadeh , Mads Almassalkhi

This paper presents a method to obtain a convex inner approximation that aims to improve the feasibility of optimal power flow (OPF) models in distribution feeders. For a resistive distribution network, both real and reactive power effect…

Optimization and Control · Mathematics 2019-11-11 Nawaf Nazir , Mads Almassalkhi

The variability caused by the proliferation of distributed energy resources (DERs) and the significant growth in unbalanced three-phase loads pose unprecedented challenges to distribution network operations. This paper focuses on how a…

Systems and Control · Electrical Eng. & Systems 2023-08-31 Zelong Lu , Jianxue Wang , Mohammad Shahidehpour , Linquan Bai , Zuyi Li , Lei Yan , Xianlong Chen

We consider the problem of controlling the voltage of a distribution feeder using the reactive power capabilities of inverters. On a real distribution grid, we compare the local Volt/VAr droop control recommended in recent grid codes, a…

Systems and Control · Electrical Eng. & Systems 2022-07-22 Lukas Ortmann , Adrian Hauswirth , Ivo Caduff , Florian Dörfler , Saverio Bolognani

In power systems, unpredictable events like extreme weather, equipment failures, and cyberattacks present significant challenges to ensuring safety and reliability. Ensuring resilience in the face of these uncertainties is crucial for…

Systems and Control · Electrical Eng. & Systems 2024-11-14 Saman Mazaheri Khamaneh , Tong Wu

The problem of optimal control of power distribution systems is becoming increasingly compelling due to the progressive penetration of distributed energy resources in this specific layer of the electrical infrastructure. Distribution…

Systems and Control · Computer Science 2016-11-17 Konstantina Christakou , Jean-Yves Le Boudec , Mario Paolone , Dan-Cristian Tomozei

Online decision support for effective mitigation actions against propagating cascading outages in a power grid still poses a big challenge to grid operators. This paper proposes an online mitigation strategy against cascading outages using…

Systems and Control · Electrical Eng. & Systems 2019-11-19 Changsheng Chen , Wenyun Ju , Kai Sun , Shiying Ma