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We consider the problem of ensuring stability in a DC microgrid by means of decentralized conditions. Such conditions are derived which are formulated as input-output properties of locally defined subsystems. These follow from various…

Optimization and Control · Mathematics 2022-08-17 Khaled Laib , Jeremy Watson , Yemi Ojo , Ioannis Lestas

Power system dynamics are naturally nonlinear. The nonlinearity stems from power flows, generator dynamics, and electromagnetic transients. Characterizing the nonlinearity of the dynamical power system model is useful for designing superior…

Systems and Control · Computer Science 2019-06-19 Sebastian A. Nugroho , Ahmad F. Taha , Junjian Qi

We present a systematic method for designing distributed generation and demand control schemes for secondary frequency regulation in power networks such that stability and an economically optimal power allocation can be guaranteed. A…

Optimization and Control · Mathematics 2017-03-03 Andreas Kasis , Nima Monshizadeh , Eoin Devane , Ioannis Lestas

Robustness of linear systems with constant coefficients is considered. There exist methods and tools for analyzing the stability of systems with random or deterministic uncertainties. At the same time, there are no approaches for the…

Optimization and Control · Mathematics 2020-12-08 Andrey Tremba

Robustness of routing policies for networks is a central problem which is gaining increased attention with a growing awareness to safeguard critical infrastructure networks against natural and man-induced disruptions. Routing under limited…

Systems and Control · Computer Science 2012-05-02 Giacomo Como , Ketan Savla , Daron Acemoglu , Munther A. Dahleh , Emilio Frazzoli

This paper emphasizes the importance of including the unbalance in the distribution networks for stability studies in power systems. The paper aims to: discuss the various simulation methods for power system analysis; highlight the need for…

Systems and Control · Computer Science 2019-03-15 Alok Kumar Bharati , Venkataramana Ajjarapu

The primary objective of this paper is to highlight the need for and benefits of studying the steady state and dynamic response of power systems using three phase integrated transmission and distribution (T&D) system models (hereafter…

Systems and Control · Computer Science 2016-11-23 Himanshu Jain , Kaveh Rahimi , Ahmad Tbaileh , Robert P. Broadwater , Akshay Kumar Jain , Murat Dilek

The change of electric power generation - from synchronous generator (SG) to converter - is generally regarded as the second revolution of power system. Different from rotor swing of SG in traditional grids mainly described by the swing…

Systems and Control · Electrical Eng. & Systems 2025-11-12 Meng Zhan , Miao Han , Yayao Zhang , Hongsheng Xu , Jiabing Hu , Shijie Cheng , Jürgen Kurths

Dynamic stability is imperative for the operation of the electric power system. This article provides analytical results and effective stability criteria focusing on the interplay of network structures and the local dynamics of synchronous…

Adaptation and Self-Organizing Systems · Physics 2024-06-19 Philipp C. Böttcher , Dirk Witthaut , Leonardo Rydin Gorjão

Time distributed optimization is an implementation strategy that can significantly reduce the computational burden of model predictive control by exploiting its robustness to incomplete optimization. When using this strategy, optimization…

Optimization and Control · Mathematics 2020-04-14 Dominic Liao-McPherson , Marco Nicotra , Ilya Kolmanovsky

In this paper, we propose a novel four-stage distributed controller for a DC microgrid that achieves power sharing and average voltage regulation for the voltages at actuated and unactuated buses. The controller is presented for a DC…

Systems and Control · Electrical Eng. & Systems 2023-02-01 Albertus Johannes Malan , Pol Jané-Soniera , Felix Strehle , Sören Hohmann

The electrical distribution system is moving toward a more decentralized, complex, and dynamic system. The system is experiencing a higher penetration of distributed energy resources, flexible resources, and active end-users, leading to an…

Systems and Control · Electrical Eng. & Systems 2023-02-21 Stine Fleischer Myhre , Olav Bjarte Fosso , Oddbjørn Gjerde , Poul Einar Heegaard

We present a linear stability analysis of stationary states (or fixed points) in large dynamical systems defined on random directed graphs with a prescribed distribution of indegrees and outdegrees. We obtain two remarkable results for such…

Statistical Mechanics · Physics 2024-05-22 Izaak Neri , Fernando Lucas Metz

Power systems are getting more complex than ever and are consequently operating close to their limit of stability. Moreover, with the increasing demand of renewable wind generation, and the requirement to maintain a secure power system, the…

Systems and Control · Electrical Eng. & Systems 2022-06-13 Umair Shahzad

Electrical power systems are one of the most important infrastructures that support our society. However, their vulnerabilities have raised great concern recently due to several large-scale blackouts around the world. In this paper, we…

Physics and Society · Physics 2016-10-14 Yingrui Zhang , Osman Yagan

In this paper, we consider robust stability analysis of large-scale sparsely interconnected uncertain systems. By modeling the interconnections among the subsystems with integral quadratic constraints, we show that robust stability analysis…

Optimization and Control · Mathematics 2016-11-15 Martin S. Andersen , Sina Khoshfetrat Pakazad , Anders Hansson , Anders Rantzer

This paper answers the question if a qualitatively heterogeneous passive networked system containing damped and undamped nodes shows consensus in the output of the nodes in the long run. While a standard Lyapunov analysis shows that the…

Optimization and Control · Mathematics 2016-03-14 Filip Koerts , Mathias Bürger , Arjan van der Schaft , Claudio De Persis

The complexity arising in AC microgrids from multiple interacting distributed generation units (DGUs) with intermittent supply behavior requires local voltage-source inverters (VSIs) to be controlled in a distributed or decentralized manner…

Systems and Control · Electrical Eng. & Systems 2020-02-13 Felix Strehle , Albertus Johannes Malan , Stefan Krebs , Sören Hohmann

We analyze networked heterogeneous nonlinear systems, with diffusive coupling and interconnected over a generic static directed graph. Due to the network's hetereogeneity, complete synchronization is impossible, in general, but an emergent…

Optimization and Control · Mathematics 2022-06-01 Mohamed Maghenem , Elena Panteley , Antonio Loria

This paper presents a new method for studying electromechanical transients in power systems using three phase, combined transmission and distribution models (hybrid models). The methodology models individual phases of an electric network…

Systems and Control · Computer Science 2016-11-23 Himanshu Jain , Abhineet Parchure , Robert P. Broadwater , Murat Dilek , Jeremy Woyak
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