arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 2408.06006eess.SYcs.SY
收藏

含变流器接口分布式能源的微电网谐波稳定性分析,第一部分:建模与理论基础

Harmonic Stability Analysis of Microgrids with Converter-Interfaced Distributed Energy Resources, Part I: Modelling and Theoretical Foundations

Johanna Kristin Maria Becker, Andreas Martin Kettner, Mario Paolone

AI总结:

针对高比例CIDER电力系统,本文建立闭环HSS模型并结合特征值与灵敏度分析实现谐波稳定性评估,且经Simulink时域仿真验证。

摘要:

本文提出了一种用于含高比例变流器接口分布式能源(Converter-Interfaced Distributed Energy Resources, CIDERs)电力系统谐波稳定性评估(Harmonic Stability Assessment, HSA)的方法。为此,通过在闭环结构中组合各资源与电网的谐波状态空间(Harmonic State-Space, HSS)模型,构建了通用电力系统的HSS模型。资源的HSS模型由CIDER各组件的线性周期时变(Linear Time Periodic, LTP)模型获得,这些模型利用傅里叶理论和Toeplitz矩阵变换到频域。值得注意的是,CIDER的HSS能够详细表示谐波频率之间的耦合。电网的HSS模型则由各独立支路元件和并联元件的动态方程推导得到。在HSA框架下,采用电力系统层级或资源层级HSS模型的系统矩阵进行特征值分析。本文提出了特征值轨迹关于模型参数变化的灵敏度分析,并将特征值划分为控制设计可变、控制设计不变以及设计不变三类。一个谐波失稳案例由HSA识别,并通过Simulink中的时域仿真(Time-Domain Simulations, TDS)得到验证。

英文摘要:

This paper proposes a method for the Harmonic Stability Assessment (HSA) of power systems with a high share of Converter-Interfaced Distributed Energy Resources (CIDERs). To this end, the Harmonic State-Space (HSS) model of a generic power system is formulated by combining the HSS models of the resources and the grid in closed-loop configuration. The HSS model of the resources is obtained from the Linear Time Periodic (LTP) models of the CIDER components transformed to frequency domain using Fourier theory and Toeplitz matrices. Notably, the HSS of a CIDER is capable of representing the coupling between harmonic frequencies in detail. The HSS model of the grid is derived from the dynamic equations of the individual branch and shunt elements. The system matrix of the HSS models on power-system or resource level is employed for eigenvalue analysis in the context of HSA. A sensitivity analysis of the eigenvalue loci w.r.t. changes in model parameters, and a classification of eigenvalues into control-design variant, control-design invariant, and design invariant eigenvalues is proposed. A case of harmonic instability is identified by the HSA and validated via Time-Domain Simulations (TDS) in Simulink.

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。

↑