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1、应用网络阻尼规则的两终端高压直流输电系统的稳定性分析AbstractThis paper performs a frequency-domain investigationin two-terminal Voltage-Source Converter HVDC (VSCHVDC)systems, focusing on the use of the net-damping criterionto investigate poorly-damped conditions and closed-loop stability.The system is represented as a feedb
2、ack interconnection of twosubsystems, defined in this paper as a) a dc-grid input impedanceand b) a VSC input admittance. The damping characteristics of the two subsystems are defined at critical frequencies and theirseparate contribution to the closed-loop stability is assessed bythe net-damping cr
3、iterion. A variety of study cases demonstratesthe effectiveness of the latter as a powerful tool for stabilityinvestigation, while a correlation has been derived between thenet-damping value and the damping factor of the poorly-damped poles of the system.摘要：这篇文章通过频域调查两终端电压源换流器的轻型直流输电（VSCHVDC ）系统，重点研
4、究网络阻尼标准低阻尼条件和闭环稳定使用。该系统为二反馈连接，本文定义为a）直流电网输入阻抗b）一个直流输入通道。两个子系统的阻尼特性在临界频率和他们单独对闭环稳定性的作用的的净阻尼估算中定义。不同的的研究案例说明了后者的有效性作为稳定性研究的有力工具，而它们之间的相关性说明了净阻尼和低阻尼系统极点的阻尼因子的关系。Index TermsVSC-HVDC, net damping, dc-network stability,poor damping, frequency domain analysis.关键字：轻型直流输电，净阻尼，直流网稳定性，低阻尼，频域分析。I. INTRODUCTION
5、引言one of the problems that can generally be observed indynamic systems is the potential occurrence of poorly-damped oscillations following disturbances. This is of great concern for HVDC applications, where the ratings and complexity level demand strict avoidance of such events. The introduction of
6、Voltage-Source Converters (VSC) has offered great controllability to the applications used. However, uncontrolled interactions between the different components of a VSC-HVDC system might appear, compromising the dynamic performance of the system and, in the worst case, its stability.动态系统中一个可觉察的问题是传输
7、过程中潜在的低阻尼震荡。这是一个广受关注的高压直流输电系统的应用，在这里额定功率和复杂度要求极力避免这样的问题。电压源变换器（VSC）的引用提供了高度可控性的应用。然而，一个高压直流输电系统的各个部分会相互影响出现失控，以至于干扰系统的动态特性，甚至是稳定性。Stability studies are typically approached by using numerical analysis to determine the actual values of the systems poles 1. Alternative solutions may however offer a di
8、fferent perspective to the understanding of stability and poor damping. A frequency domain approach is proposed in 23 and utilized in the area of VSC-HVDC 45 and converter control678, where the passivity analysis of a system is used to derive design criteria. This concept has however limitations as
9、it cannot provide answers for non-passive systems, where other methods should be further used.稳定性研究通常通过数值分析来确定系统极点的实际值1 但可替代的解决方案提供了对稳定性和低压的不同理解。在23中提供了一种频域方法，这个方法应用在该地区的轻型直流输电系统 45和变频器控制678。它们其中一个对系统的无源性分析得出设计标准。这一概念有其局限性，因为它不能用于提供有源系统的研究。而对于有源系统，其他方法会进一步的使用。A different frequency domain tool is the
10、 net-damping criterion,which is an extension of the Nyquist stability criterion,used in 9101112 to facilitate a sub-synchronous torsional interaction analysis of turbine-generator sets. There,the system is modeled as a Single-Input Single-Output (SISO) feedback process, comprising of an open-loop an
11、d a feedback subsystem.The assessment of the accumulated subsystem damping at the open-loop resonant frequencies resulted indirect and consistent conclusions, regarding the closed-loop stability. While the Nyquist stability criterion focuses on the open-loop transfer function of the entire system, t
12、he net-damping criterion investigates separately the contribution of the two subsystems to the closed-loop stability. Here lies the main advantage of the net-damping criterion, in the possibility to observe the individual contribution of each subsystem to the closed-loop stability, based solely on t
13、heir frequency domain properties. This can serve as a valuable design tool, as it is possible to locate the subsystem responsible for closed-loop instability or poorly-damped conditions when selected system parameters are varied.区分不同频域的工具是净阻尼准则，这是尼奎斯特稳定性判据的延生。它用于 9101112促进次同步汽轮发电机扭振相互作用的分析。因此，这个系统建模
14、为包括开环反馈子系统的单输入单输出（ SISO ）的反馈过程。对开环谐振频率累积的子系统阻尼的分析导出了间接且连贯的关于闭环稳定性的结论。而尼奎斯特稳定性判据解释整个系统的开环传递函数，净阻尼研究了两个系统对闭环稳定性的影响。净阻尼准则在这里体现了它的优势，使得我们得以分析两个子系统各自对闭环稳定的影响，完全基于他们的频域特性。这可以作为一个有价值的设计工具，因为它是可能的定位系统负责闭环不稳定或不良阻尼条件时，选定的系统参数变化。The aim of this paper is to investigate the stability character-istics of two-term
15、inal VSC-HVDC systems in the frequency domain, by using the net-damping criterion as a frequency analysis tool. The objective is to develop a methodology,which can describe and predict the occurrence of poorly-damped phenomena or instances of instability. For analysis purposes, the system is divided
16、 into two subsystems: one describing the dc link receiving power from the rectifier station and the other describing the dynamics of the VSC rectifier station, which injects a controlled amount of power to the dc link in an effort to stabilize the direct voltage. The subsystems are then examined using the net-damping approach. 这篇文章的目的是为了探讨两端轻型直流输电系统频域稳定性特征，利用网络阻尼准则作为频率分析工具。 目标是开发一种方法，它可以描述和预测不良阻尼现象或不稳定的情况。为了分析的目的，该系统分为两个子系统：一个对直流母线从整流站和其他VSC 整流
