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《工程(英文)》 >> 2020年 第6卷 第7期 doi: 10.1016/j.eng.2019.11.016

与运行状态无关的电力系统安全域的理论和方法概述

Key Laboratory of Smart Grid of Ministry of Education, Tianjin University, Tianjin 300072, China

收稿日期: 2019-07-29 修回日期: 2019-10-19 录用日期: 2019-10-26 发布日期: 2020-06-26

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摘要

在电力系统的一系列最优化问题中,如何综合地考虑潮流约束和各种稳定性约束,而又不影响计算速度,始终还是个难题。至于概率安全性评估的计算负担就更加难以想象。为了解决此类问题,本文提出了安全域(SR)的方法论,该方法论是在经典的逐点法基础上发展起来的全新方法论。天津大学自20世纪80年代开始并长期坚持安全域的研究,至今取得了如本文所述的一系列原创成果。本文所介绍的安全域主要是定义在功率注入空间上的,包括确保静态安全、暂态稳定、静态电压稳定和小扰动稳定的安全域。对于既定的网络拓扑(以及暂态事故的发生地点和清除过程)和系统元件参数,它们是唯一确定的,并且与运行状态无关。本文通过11个命题和相应的注释,简明而系统地介绍了这些电力系统安全域的基本概念、构成、动力学性质、拓扑学与几何学特征、实用边界的实用数学描述及其快速计算方法,以期为成体系地认知安全域方法学、开展后续研究与应用提供支持。在拓扑学与几何学特征方面,最重要的发现是,在功率注入空间上,在工程实际所关心的范围内,安全域的边界可用一个或少数几个超平面的并集表示。基于该特征,电力系统安全约束优化问题和概率安全性评估(风险分析)的计算时间可以按数量级减少。

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