中国电机工程学报2016，Vol.36Issue(18)：4828-4836,9.DOI:10.13334/j.0258-8013.pcsee.151427
配电系统安全域的数学定义与存在性证明
Mathematical Definition and Existence Proof of Distribution System Security Region
摘要
Abstract
ABSTRACT:This paper gave the mathematical description of N−1 security of distribution networks, proposed the mathematical definition of distribution system security region (DSSR) and proved its existence for the first time. Firstly, it mathematically described both the operation state space and constrains under normal operation. Secondly, the concept of security function was proposed to describe the N−1 security and security degree. Also, it proposed a concrete security function, which is proved to be continuous and monotone decreasing. Therefore, the N−1 security can be described as whether the security function satisfies a default critical value. Thirdly, it proposed a more strict definition and mathematical description of DSSR: DSSR is the set consists of all secure operation points, and, the set has a closed boundary, inside which all operation points are secure while outside which are all insecure. Finally, this paper mathematically proved that DSSR exists for any structure-given distribution networks. The work in this paper has vast importance to reveal the essence of DSSR, which is the theoretical basis for planning and operation of smart distribution system in the future.关键词
配电系统安全域/N-1安全性/数学定义/存在性/证明/安全函数Key words
distribution system security region (DSSR)/N-1 security/mathematical definition/existence/proof/security function分类
信息技术与安全科学引用本文复制引用
肖峻,祖国强,白冠男,张苗苗,王成山,赵婧..配电系统安全域的数学定义与存在性证明[J].中国电机工程学报,2016,36(18):4828-4836,9.基金项目
国家高技术研究发展计划(2015AA050102)；国家自然科学基金(51477112)；教育部新世纪优秀人才计划(NCET-10-0624)National High-Tech R&D Program (2015AA050102) （2015AA050102）
Project Supported by National Natural Science Foundation of China (51477112) （51477112）
Project Supported by Program for New Century Excellent Talents in University (NCET-10-0624) （NCET-10-0624）
