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相关论文: A unifying energy-based approach to optimal freque…

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In this paper a unifying energy-based approach is provided to the modeling and stability analysis of power systems coupled with market dynamics. We consider a standard model of the power network with a third-order model for the synchronous…

最优化与控制 · 数学 2016-07-28 Tjerk Stegink , Claudio De Persis , Arjan van der Schaft

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…

最优化与控制 · 数学 2015-09-25 Tjerk Stegink , Claudio De Persis , Arjan van der Schaft

This paper studies the problem of maximizing the social welfare while stabilizing both the physical power network as well as the market dynamics. For the physical power grid a third-order structure-preserving model is considered involving…

动力系统 · 数学 2017-04-25 Tjerk W. Stegink , Claudio De Persis , Arjan J. van der Schaft

We present a distributed and price-based control approach for frequency regulation in power grids with nonzero line conductances. Both grid and controller are modeled as a port-Hamiltonian system, where the grid model consists of…

系统与控制 · 电气工程与系统科学 2019-09-20 Lukas Kölsch , Kirtan Bhatt , Stefan Krebs , Sören Hohmann

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…

最优化与控制 · 数学 2019-12-18 Lukas Kölsch , Katharina Wieninger , Stefan Krebs , Sören Hohmann

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…

系统与控制 · 电气工程与系统科学 2019-10-09 Lukas Kölsch , Manuel Dupuis , Kirtan Bhatt , Stefan Krebs , Sören Hohmann

In this note, we consider port-Hamiltonian structures in numerical optimal control of ordinary differential equations. By introducing a novel class of nonlinear monotone port-Hamiltonian (pH) systems, we show that the primal-dual gradient…

最优化与控制 · 数学 2024-12-17 Hannes Gernandt , Manuel Schaller

We give a short overview of advantages and drawbacks of the classical formulation of minimum cost network flow problems and solution techniques, to motivate a reformulation of classical static minimum cost network flow problems as optimal…

最优化与控制 · 数学 2023-03-24 Onur Tanil Doganay , Kathrin Klamroth , Bruno Lang , Michael Stiglmayr , Claudia Totzeck

In this paper, we formulate an optimization-based control-by-interconnection approach to the stabilization problem of nonlinear port-Hamiltonian systems. Motivated by model predictive control, the feedback is defined as an initial part of a…

最优化与控制 · 数学 2026-02-17 Till Preuster , Hannes Gernandt , Manuel Schaller

We suggest a global perspective on dynamic network flow problems that takes advantage of the similarities to port-Hamiltonian dynamics. Dynamic minimum cost flow problems are formulated as open-loop optimal control problems for general…

最优化与控制 · 数学 2023-09-06 Onur Tanil Doganay , Kathrin Klamroth , Bruno Lang , Michael Stiglmayr , Claudia Totzeck

We develop two local energy methods for distributed parameter port-Hamiltonian (pH) systems on one-dimensional spatial domains. The methods are applied to derive a characterization of exponential stability directly in terms of the energy…

最优化与控制 · 数学 2025-12-01 Marco Roschkowski , Hannes Gernandt

This article proposes a distributed secondary control scheme that drives a dc microgrid to an equilibrium point where the generators share optimal currents, and their voltages have a weighted average of nominal value. The scheme does not…

最优化与控制 · 数学 2023-01-23 Babak Abdolmaleki , Gilbert Bergna-Diaz

In this paper we design discrete port-Hamiltonian systems systematically in two different ways, by applying discrete gradient methods and splitting methods respectively. The discrete port-Hamiltonian systems we get satisfy a discrete notion…

数值分析 · 数学 2017-06-28 Elena Celledoni , Eirik Hoel Høiseth

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…

最优化与控制 · 数学 2016-03-23 Tjerk Stegink , Claudio De Persis , Arjan van der Schaft

Adaptive structures are equipped with sensors and actuators to actively counteract external loads such as wind. This can significantly reduce resource consumption and emissions during the life cycle compared to conventional structures. A…

系统与控制 · 电气工程与系统科学 2023-12-11 Manuel Schaller , Amelie Zeller , Michael Böhm , Oliver Sawodny , Cristina Tarín , Karl Worthmann

We consider the problem of distributed secondary frequency regulation in power networks such that stability and an optimal power allocation are attained. This is a problem that has been widely studied in the literature, and two main control…

最优化与控制 · 数学 2020-08-12 Andreas Kasis , Nima Monshizadeh , Ioannis Lestas

We present a gradient-based identification algorithm to identify the system matrices of a linear port-Hamiltonian system from given input-output time data. Aiming for a direct structure-preserving approach, we employ techniques from optimal…

最优化与控制 · 数学 2023-12-22 Michael Günther , Birgit Jacob , Claudia Totzeck

The increasing penetration of renewable energy resources and utilization of energy storage systems pose new challenges in maintaining power system's stability. Specifically, the cost function of regulation no longer remains smooth, which…

最优化与控制 · 数学 2023-11-27 Yifan Wang , Shuai Liu , Xianghui Cao , Mo-Yuen Chow

An in-domain finite dimensional controller for a class of distributed parameter systems on a one-dimensional spatial domain formulated under the port-Hamiltonian framework is presented. Based on [25] where positive feedback and a late…

最优化与控制 · 数学 2023-02-06 Ning Liu , Yongxin Wu , Yann Le Gorrec , Laurent Lefevre , Hector Ramirez

Port-Hamiltonian systems provide an energy-based modeling paradigm for dynamical input-state-output systems. At their core, they fulfill an energy balance relating stored, dissipated and supplied energy. To accurately resolve this energy…

数值分析 · 数学 2024-12-17 Andreas Bartel , Manuel Schaller
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