Operating modern power grids with stability guarantees is markedly important. Typical methods for analyzing and certifying power grid stability are largely centralized relying on the ability of the system operator to gather network-wide information and accurately compute the system's eigenvalues. These methods are oftentimes not privacy-preserving and computationally burdensome. They are therefore, not well-suited to modern power grids where small-signal stability has to be evaluated timely, efficiently and in a privacy-preserving fashion. In this paper, we introduce a distributed methodology for certifying small-signal stability of power grids and designing the local controllers. First, we analytically derive distributed conditions for network-wide stability that bus agents can inspect using local information. By leveraging these conditions, we then introduce a distributed control design algorithm (DCDA) that can guide the local control design so that stability of the interconnected system is guaranteed. The agents that adopt the proposed distributed algorithm are responsible for tuning their local controllers, producing their local control commands and ensuring that their local stability condition is met. The system operator is only responsible for verifying network-wide stability upon receiving affirmative responses from all agents and, announcing, that the overall system is stable. The proposed DCDA algorithm is numerically validated via simulations using the IEEE 39-bus system.

中文翻译：

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电网小信号稳定性的分布式条件及局部控制设计

具有稳定性保证的现代电网的运行非常重要。分析和验证电网稳定性的典型方法主要集中在系统操作员收集网络范围信息并准确计算系统特征值的能力上。这些方法通常不保护隐私并且计算繁琐。因此，它们不适用于必须及时，有效且以保护隐私的方式评估小信号稳定性的现代电网。在本文中，我们介绍了一种分布式方法来验证电网的小信号稳定性并设计本地控制器。首先，我们分析性地得出分布式条件，以实现整个网络的稳定性，总线代理可以使用本地信息进行检查。通过利用这些条件，然后，我们介绍一种分布式控制设计算法（DCDA），该算法可以指导本地控制设计，从而确保互连系统的稳定性。采用所提出的分布式算法的代理负责调整其本地控制器，生成其本地控制命令并确保满足其本地稳定性条件。系统操作员仅在收到来自所有代理的肯定响应并宣布整个系统稳定后，才负责验证整个网络的稳定性。通过使用IEEE 39总线系统的仿真，对提出的DCDA算法进行了数值验证。采用所提出的分布式算法的代理负责调整其本地控制器，生成其本地控制命令并确保满足其本地稳定性条件。系统操作员仅在收到来自所有代理的肯定响应并宣布整个系统稳定后，才负责验证整个网络的稳定性。通过使用IEEE 39总线系统的仿真，对提出的DCDA算法进行了数值验证。采用所提出的分布式算法的代理负责调整其本地控制器，生成其本地控制命令并确保满足其本地稳定性条件。系统操作员仅在收到来自所有代理的肯定响应并宣布整个系统稳定后，才负责验证整个网络的稳定性。通过使用IEEE 39总线系统的仿真，对提出的DCDA算法进行了数值验证。