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In this paper, we present a model-based frequency controller for microgrids with nonzero line resistances based on a port-Hamiltonian formulation of the microgrid model and real-time dynamic pricing. The controller is applicable for…

Systems and Control · Electrical Eng. & Systems 2019-10-09 Lukas Kölsch , Manuel Dupuis , Kirtan Bhatt , Stefan Krebs , Sören Hohmann

This paper studies the problem of frequency regulation in power grids, while maximizing the social welfare. Two price-based controllers are proposed; the first one an internal-model-based controller and the second one based on a continuous…

Optimization and Control · Mathematics 2015-09-25 Tjerk Stegink , Claudio De Persis , Arjan van der Schaft

With the gradual transformation of power generation towards renewables, distributed energy resources are becoming more and more relevant for grid stabilization. In order to involve all participants in the joint solution of this challenging…

Optimization and Control · Mathematics 2019-12-18 Lukas Kölsch , Katharina Wieninger , Stefan Krebs , Sören Hohmann

In this paper we provide a unifying energy-based approach to the modeling, analysis and control of power systems and markets, which is based on the port-Hamiltonian framework. Using a primal-dual gradient method applied to the social…

Optimization and Control · Mathematics 2016-08-04 Tjerk Stegink , Claudio De Persis , Arjan van der Schaft

This work addresses the distributed frequency control problem in power systems considering controllable load with a nonsmooth cost. The nonsmoothness exists widely in power systems, such as tiered price, greatly challenging the design of…

Systems and Control · Electrical Eng. & Systems 2024-09-23 Zhaojian Wang , Feng Liua , Changhong Zhao , Zhiyuan Ma , Wei Wei

This paper addresses the distributed optimal frequency control of power systems considering a network-preserving model with nonlinear power flows and excitation voltage dynamics. Salient features of the proposed distributed control strategy…

Systems and Control · Computer Science 2018-02-14 Zhaojian Wang , Feng Liu , John Z. F. Pang , Steven Low , Shengwei Mei

In this paper we propose distributed dynamic controllers for sharing both frequency containment and restoration reserves of asynchronous AC systems connected through a multi-terminal HVDC (MTDC) grid. The communication structure of the…

Optimization and Control · Mathematics 2015-12-14 Martin Andreasson , Roger Wiget , Dimos V. Dimarogonas , Karl H. Johansson , Göran Andersson

This paper investigates the problem of optimal frequency regulation of multi-machine power networks where each synchronous machine is described by a sixth order model. By analyzing the physical energy stored in the network and the…

Optimization and Control · Mathematics 2016-03-23 Tjerk Stegink , Claudio De Persis , Arjan van der Schaft

This paper presents a distributed frequency control method for power grids with high penetration of inverter-connected resources under low and time-varying inertia due to renewable energy (RE). We provide a distributed virtual inertia (VI)…

Systems and Control · Electrical Eng. & Systems 2022-09-20 Manasa Muralidharan , Jan Kleissl , Patricia Hidalgo-Gonzalez

The control of large-scale cyber-physical systems requires optimal distributed policies relying solely on limited communication with neighboring agents. However, computing stabilizing controllers for nonlinear systems while optimizing…

Systems and Control · Electrical Eng. & Systems 2024-11-26 Muhammad Zakwan , Giancarlo Ferrari-Trecate

Grid-forming inverter-based autonomous microgrids present new operational challenges as the stabilizing rotational inertia of synchronous machines is absent. The design of efficient control policies for grid-forming inverters is, however, a…

Optimization and Control · Mathematics 2023-01-18 Yemi Ojo , Jeremy D. Watson , Khaled Laib , Ioannis Lestas

In this paper we propose a distributed dynamic controller for sharing frequency control reserves of asynchronous AC systems connected through a multi-terminal HVDC (MTDC) grid. We derive sufficient stability conditions, which guarantee that…

Optimization and Control · Mathematics 2015-12-15 Martin Andreasson , Roger Wiget , Dimos V. Dimarogonas , Karl H. Johansson , Göran Andersson

Frequency control rebalances supply and demand while maintaining the network state within operational margins. It is implemented using fast ramping reserves that are expensive and wasteful, and which are expected to grow with the increasing…

Optimization and Control · Mathematics 2015-11-19 Enrique Mallada , Changhong Zhao , Steven H. Low

This paper studies the problem of frequency regulation in power grids under unknown and possible time-varying load changes, while minimizing the generation costs. We formulate this problem as an output agreement problem for distribution…

Systems and Control · Computer Science 2015-10-01 Sebastian Trip , Mathias Bürger , Claudio De Persis

In this paper, we analyze the impact of communication failures on the performance of optimal distributed frequency control. We consider a consensus-based control scheme, and show that it does not converge to the optimal solution when the…

Systems and Control · Computer Science 2016-05-04 Marzieh Parandehgheibi , Konstantin Turitsyn , Eytan Modiano

Motivated by an increase of renewable energy sources we propose a distributed optimal Load Frequency Control scheme achieving frequency regulation and economic dispatch. Based on an energy function of the power network we derive an…

Optimization and Control · Mathematics 2017-08-03 Sebastian Trip , Claudio De Persis

In order to deal with issues caused by the increasing penetration of renewable resources in power systems, this paper proposes a novel distributed frequency control algorithm for each generating unit and controllable load in a transmission…

Systems and Control · Electrical Eng. & Systems 2020-02-19 Luwei Yang , Tao Liu , Zhiyuan Tang , David J. Hill

As the energy transition transforms power grids across the globe, it poses several challenges regarding grid design and control. In particular, high levels of intermittent renewable generation complicate the task of continuously balancing…

Optimization and Control · Mathematics 2018-08-07 Randall Martyr , Benjamin Schaefer , Christian Beck , Vito Latora

This paper introduces a control strategy to simultaneously achieve asymptotic stabilization and transient frequency regulation of power networks. The control command is generated by iteratively solving an open-loop control cost minimization…

Systems and Control · Electrical Eng. & Systems 2019-11-13 Yifu Zhang , Jorge Cortes

Introduction of renewable generation leads to significant reduction of inertia in power system, which deteriorates the quality of frequency control. This paper suggests a new control scheme utilizing controllable load to deal with low…

Systems and Control · Computer Science 2018-11-30 Oleg O. Khamisov , Janusz W. Bialek , Anatoly Dymarsky
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