ABSTRACT Stability of power networks is an increasingly important topic because of the high penetration of renewable distributed generation units. This requires the development of advanced techniques for the analysis and controller design of power networks. Although there are widely accepted reduced-order models to describe the power network dynamics, they are commonly presented without details about the reduction procedure. The present article aims to provide a modular model derivation of multi-machine power networks. Starting from first-principle fundamental physics, we present detailed dynamical models of synchronous machines and clearly state the underlying assumptions which lead to some of the standard reduced-order multi-machine models. In addition, the energy functions for these models are derived, which allows to represent the multi-machine systems as port-Hamiltonian systems. Moreover, the systems are proven to be shifted passive, which permits for a power-preserving interconnection with other passive components. Graphical Abstract

中文翻译：

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（联网）同步电机降阶模型的基于能量的分析

摘要 由于可再生分布式发电机组的高渗透率，电网的稳定性是一个越来越重要的话题。这需要开发用于电力网络分析和控制器设计的先进技术。尽管有广泛接受的降阶模型来描述电力网络动态，但它们通常没有关于降阶过程的详细信息。本文旨在提供多机电力网络的模块化模型推导。从第一性原理基础物理学开始，我们提出了同步电机的详细动力学模型，并清楚地说明了导致一些标准降阶多机模型的基本假设。此外，还导出了这些模型的能量函数，它允许将多机系统表示为端口-汉密尔顿系统。此外，这些系统被证明是无源的，这允许与其他无源组件进行节能互连。图形概要