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We present a massively parallel solver that accelerates DC loadflow computations for power grid topology optimization tasks. Our approach leverages low-rank updates of the Power Transfer Distribution Factors (PTDFs) to represent substation…

Systems and Control · Electrical Eng. & Systems 2025-01-30 Nico Westerbeck , Joost van Dijk , Jan Viebahn , Christian Merz , Dirk Witthaut

Distribution factors are indispensable tools in the design and analysis of power transmission grids. Recently, they received a renewed interest in the field of topology optimization, leading to the definition of bus merge and bus split…

Optimization and Control · Mathematics 2024-12-24 Joost van Dijk , Nico Westerbeck , Lars Schewe , Andrea Benigni , Dirk Witthaut

Transmission networks consist of thousands of branches for large-scale real power systems. They are built with a high degree of redundancy for reliability concern. Thus, it is very likely that there exist various network topologies that can…

Optimization and Control · Mathematics 2019-12-17 Xingpeng Li , Akshay Korad , Pranavamoorthy Balasubramanian

A major concern in modern power systems is that the popularity and fluctuating characteristics of renewable energy may cause more and more transmission congestion events. Traditional congestion management modeling involves AC or DC power…

Systems and Control · Electrical Eng. & Systems 2022-12-27 Shutong Pu , Guangchun Ruan , Xinfei Yan , Haiwang Zhong

Power system N-x contingency analysis has inherent challenges due to its combinatorial characteristic where outages grow exponentially with the increase of x and N. To address these challenges, this paper proposes a method that utilizes…

Systems and Control · Electrical Eng. & Systems 2021-07-08 Hao Huang , Zeyu Mao , Mohammad Rasoul Narimani , Katherine R. Davis

Power Transfer Distribution Factors (PTDFs) play a crucial role in power grid security analysis, planning, and redispatch. Fast calculation of the PTDFs is therefore of great importance. In this paper, we present a non-approximative dual…

Systems and Control · Computer Science 2016-07-27 Henrik Ronellenfitsch , Marc Timme , Dirk Witthaut

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

The objective of this paper is to improve the accuracy and robustness of optimal power flow (OPF) formulations for distribution systems modeled down to the low-voltage point of connection of individual buildings. An approach for addressing…

Systems and Control · Electrical Eng. & Systems 2023-10-11 Dakota Hamilton , Loraine Navarro , Dionysios Aliprantis

The power flow equations relate bus voltage phasors to power injections via the network admittance matrix. These equations are central to the key operational and protection functions of power systems (e.g., optimal power flow scheduling and…

Systems and Control · Electrical Eng. & Systems 2025-10-21 Samuel Talkington , Daniel Turizo , Sergio A. Dorado-Rojas , Rahul K. Gupta , Daniel K. Molzahn

This paper presents a new method to determine the susceptances of a reduced transmission network representation by using nonlinear optimization. We use Power Transfer Distribution Factors (PTDFs) to convert the original grid into a reduced…

Systems and Control · Computer Science 2018-09-05 Philipp Fortenbacher , Turhan Demiray , Christian Schaffner

Linearization of power flow is an important topic in power system analysis. The computational burden can be greatly reduced under the linear power flow model while the model error is the main concern. Therefore, various linear power flow…

Systems and Control · Electrical Eng. & Systems 2021-11-09 hentong Shao , Qiaozhu Zhai , Jiang Wu , Xiaohong Guan

Power grids vulnerability is a key issue in society. A component failure may trigger cascades of failures across the grid and lead to a large blackout. Complex network approaches have shown a direction to study some of the problems faced by…

Physics and Society · Physics 2013-04-22 Trivik Verma , Wendy Ellens , Robert E. Kooij

This is the second part of a two-part paper on data-based distributionally robust stochastic optimal power flow (OPF). The general problem formulation and methodology have been presented in Part I [1]. Here, we present extensive numerical…

Optimization and Control · Mathematics 2018-10-29 Yi Guo , Kyri Baker , Emiliano Dall'Anese , Zechun Hu , Tyler H. Summers

In this paper we consider the problem of analyzing the effect a change in the load vector can have on the optimal power generation in a DC power flow model. The methodology is based upon the recently introduced concept of the…

Optimization and Control · Mathematics 2020-04-06 James Anderson , Fengyu Zhou , Steven H. Low

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

Distribution grid is the medium and low voltage part of a large power system. Structurally, the majority of distribution networks operate radially, such that energized lines form a collection of trees, i.e. forest, with a substation being…

Systems and Control · Computer Science 2018-07-12 Deepjyoti Deka , Michael Chertkov , Scott Backhaus

Large scale integration of distributed energy resources and electric vehicles in a transactive energy environment present new challenges in terms of voltage stability and fluctuations in a power distribution system. The impact of different…

Systems and Control · Electrical Eng. & Systems 2021-04-30 Sai Munikoti , Kumarsinh Jhala , Kexing Lai , Balasubramaniam Natarajan

With an increasing high penetration of solar photovoltaic generation in electric power grids, voltage phasors and branch power flows experience more severe fluctuations. In this context, probabilistic power flow (PPF) study aims at…

Systems and Control · Electrical Eng. & Systems 2022-05-03 Kejun Chen , Yu Zhang

Identifying the multiple critical components in power systems whose absence together has severe impact on system performance is a crucial problem for power systems known as (N-x) contingency analysis. However, the inherent combinatorial…

Optimization and Control · Mathematics 2020-07-15 Mohammad Rasoul Narimani , Hao Huang , Amarachi Umunnakwe , Zeyu Mao , Abhijeet Sahu , Saman Zonouz , Kate Davis

With increasing penetration of renewable energy and active consumers, control and management of power distribution networks has become challenging. Renewable energy sources can cause random voltage fluctuations as their output power depends…

Systems and Control · Electrical Eng. & Systems 2020-08-26 Mohammad Abujubbeh , Sai Munikoti , Balasubramaniam Natarajan
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