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arXiv 1809.05019eess.SYcs.SY
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基于能量分析的同步机降阶模型研究

An energy-based analysis of reduced-order models of (networked) synchronous machines

University of Groningen(格罗宁根大学)

T. W. Stegink, C. De Persis, A. J. van der Schaft

AI总结:

本文基于基本物理原理推导多机电力系统模型,揭示降阶模型的物理基础,构建端哈密顿系统并证明其被动性,为电力网络稳定性分析提供非线性方法。

摘要:

电力网络稳定性日益重要,因可再生能源高渗透率。本文旨在提供多机电力系统模块化建模方法,从基本物理原理出发,推导同步机动态模型并明确导致标准降阶模型的假设,包括经典二阶摆动方程。此外,推导了降阶模型的能量函数,使其可表示为端哈密顿系统,并证明其对稳态的被动性,允许与被动组件进行功率守恒互联。因此,对应的能量函数可用于高级模型的严格稳定性分析,无需线性化系统。

英文摘要:

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 (typically model-based) techniques for the analysis and controller design of power networks. Although there are widely accepted reduced-order models to describe the dynamic behavior of power networks, they are commonly presented without details about the reduction procedure, hampering the understanding of the physical phenomena behind them. The present paper 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, including the classical second-order swing equations. In addition, the energy functions for the reduced-order multi-machine models are derived, which allows to represent the multi-machine systems as port-Hamiltonian systems. Moreover, the systems are proven to be passive with respect to its steady states, which permits for a power-preserving interconnection with other passive components, including passive controllers. As a result, the corresponding energy function or Hamiltonian can be used to provide a rigorous stability analysis of advanced models for the power network without having to linearize the system.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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