Abstract How to comprehensively consider the power flow constraints and various stability constraints in a series of power system optimization problems without affecting the calculation speed is always a problem. The computational burden of probabilistic security assessment is even more unimaginable. In order to solve such problems, a security region (SR) methodology is proposed, which is a brand-new methodology developed on the basis of the classical point-wise method. Tianjin University has been studying the SR methodology since the 1980s, and has achieved a series of original breakthroughs that are described in this paper. The integrated SR introduced in this paper is mainly defined in the power injection space, and includes SRs to ensure steady-state security, transient stability, static voltage stability, and small-disturbance stability. These SRs are uniquely determined for a given network topology (as well as location and clearing process for transient faults) and given system component parameters, and are irrelevant to operation states. This paper presents 11 facts and related remarks to introduce the basic concepts, composition, dynamics nature, and topological and geometric characteristics of SRs. It also provides a practical mathematical description of SR boundaries and fast calculation methods to determine them in a concise and systematic way. Thus, this article provides support for the systematic understanding, future research, and applications of SRs. The most critical finding on the topological and geometric characteristics of SRs is that, within the scope of engineering concern, the practical boundaries of SRs in the power injection space can be approximated by one or a few hyperplanes. Based on this finding, the calculation time for power system probabilistic security assessment (i.e., risk analysis) and power system optimization with security constraints can be decreased by orders of magnitude.

中文翻译：

---

与运行状态无关的电力系统综合安全区理论与方法：导论

摘要 如何在一系列电力系统优化问题中综合考虑潮流约束和各种稳定性约束而不影响计算速度一直是一个难题。概率安全评估的计算负担更是难以想象。为了解决这些问题，提出了一种安全区域（SR）方法，它是在经典的逐点方法的基础上发展起来的一种全新的方法。天津大学自 1980 年代以来一直在研究 SR 方法论，并取得了本文所述的一系列原创性突破。本文介绍的集成SR主要定义在功率注入空间中，包括用于确保稳态安全、暂态稳定性、静态电压稳定性和小扰动稳定性的SR。这些 SR 是针对给定的网络拓扑（以及瞬态故障的定位和清除过程）和给定的系统组件参数唯一确定的，并且与运行状态无关。本文提出了 11 个事实和相关评论，介绍了 SR 的基本概念、组成、动力学性质以及拓扑和几何特征。它还提供了 SR 边界的实用数学描述和快速计算方法，以简洁和系统的方式确定它们。因此，本文为SRs的系统理解、未来研究和应用提供了支持。关于 SR 的拓扑和几何特征的最关键发现是，在工程关注的范围内，能量注入空间中 SR 的实际边界可以通过一个或几个超平面来近似。基于这一发现，电力系统概率安全评估（即风险分析）和具有安全约束的电力系统优化的计算时间可以减少几个数量级。