AI 中文总结
针对异构电网中分散式稳定性判据的保守性问题，提出分区混合增益-相位分散稳定性判据，通过分区采用小增益或小相位界认证换流器，在双换流器及IEEE 39节点系统上表现优于标准分散式判据。
AI 中文摘要
换流器接口资源渗透率的不断提高使电力系统稳定性评估更具挑战性，尤其是在包含网侧形成型和网侧跟随型换流器的异构电网中。现有分散式混合小增益和小相位判据提供了可扩展的稳定性证明，但它们要求所有换流器在给定频率下满足相同类型的条件，因此无法同时利用网侧跟随型换流器的低增益和网侧形成型换流器的良好相位特性，导致不必要的保守性。本文提出一种分区混合增益-相位分散稳定性判据，允许不同换流器子集在相同频率下满足不同的局部要求：一个子集通过小增益界进行认证，互补子集通过小相位界进行认证。增益和相位裕度之间的可接受权衡由依赖网络的二次约束确定，产生一种感知技术的稳定性证明，且在换流器层面保持局部性。本文表征了增益和相位界的可接受集合，建立了有用的凸性和有界性特性，并开发了选择这些界的实用程序。所提方法在包含网侧形成型和网侧跟随型换流器的异构系统（包括双换流器系统和IEEE 39节点系统）上得到验证，其性能优于标准分散式小增益和小相位条件。
英文摘要
The increasing penetration of converter-interfaced resources is making power-system stability assessment more challenging, particularly in heterogeneous grids containing both grid-forming and grid-following converters. Existing decentralized mixed small-gain and small-phase criteria provide scalable stability certificates, but they require all converters to satisfy the same type of condition at a given frequency. As a result, they cannot simultaneously exploit the low gain of grid-following converters and the favorable phase properties of grid-forming converters, leading to unnecessary conservatism. This paper proposes a partitioned mixed gain-phase decentralized stability criterion that allows distinct subsets of converters to satisfy different local requirements at the same frequency. Specifically, one subset can be certified through small-gain bounds, while the complementary subset is certified through small-phase bounds. The admissible trade-off between gain and phase margins is determined by a network-dependent quadratic constraint, yielding a technology-aware stability certificate that remains local at the converter level. The paper characterizes the admissible set of gain and phase bounds, establishes useful convexity and boundedness properties, and develops a practical procedure for selecting these bounds. The proposed method is demonstrated on heterogeneous systems containing grid-forming and grid-following converters, including a two-converter system and the IEEE 39-bus system, outperforming the standard decentralized small-gain and small-phase conditions.
