配电网的严格与非严格安全边界

Strict and Non-Strict Security Boundary of Distribution Network

本文提出配电网严格安全边界和非严格安全边界的定义与计算方法。首先,根据安全边界点的临界性强弱程度定义了严格和非严格边界。严格边界具有严格临界性;非严格边界具有非严格临界性,二者共同构成完整的安全边界。其次,分析严格边界的成因,并将其分为相交型和独立型两类:绝大多数配电网的严格边界都是相交型边界,即由多个超平面取交后形成;只有某些特殊小算例,其N 1后所有负荷均受到同一约束时会形成独立型严格边界。再次,建立了基于判定矩阵的边界类型判定定理及推论,然后提出严格和非严格边界的求解算法:先利用判定矩阵依次判断所有相交型边界,得到完整的严格边界,再求取严格边界的补集,得到完整的非严格边界。最后,通过算例验证本文方法,并可视化地展现了严格与非严格边界。

This paper proposes the definition and calculation methods for strict and non-strict security boundary of distribution network.Firstly,according to the criticality degree of the security boundary point,the strict and non-strict boundary are defined respectively.Strict boundary has the property of strict criticality,while non-strict boundary has the property of non-strict criticality,which together constitute a complete security boundary.Secondly,by analyzing the causes of strict boundaries,this paper divided them into two types:intersection type and independence type.Generally,strict boundaries of most distribution networks are intersection boundaries that are formed by intersection of multiple hyperplanes.Only in some special cases with an extremely small scale,the independence strict boundary can be formed when all loads are limited by the same constraint after N?1.Thirdly,the boundary type judgment theorem and inferences based on the determination matrix are presented.Then,an algorithm is presented for solving the strict and non-strict boundaries.That is,all the intersection boundaries are judged by using the determination matrix firstly,and the complete strict boundary is obtained,and then the complement of the strict boundary is solved to obtain the complete non-strict boundary.Finally,case study verifies the proposed method.Moreover,strict and non-strict boundaries in the cases are shown by visualization.