论文标题

分布式瞬态安全验证通过可靠的控制不变集:微电网应用

Distributed Transient Safety Verification via Robust Control Invariant Sets: A Microgrid Application

论文作者

Bouvier, Jean-Baptiste, Nandanoori, Sai Pushpak, Ornik, Melkior, Kundu, Soumya

论文摘要

现代关键安全能源基础设施越来越多地在层次和模块化控制框架中运行,该框架允许模块之间的数据交换有限。在这种情况下,对于每个模块而言,重要的是要综合并传达对交换信息值的约束,以确保整个系统的安全性。为了确保基于逆变器的微电网中的瞬时安全性,我们为每个逆变器模块开发了基于集合的基于不变性的分布式安全验证算法。应用Nagumo的不变性条件,我们构建了一个可靠的多项式优化问题,以共同搜索安全性的控制点和设计参数,在邻居的允许干扰下。我们使用方格(SOS)编程来解决验证问题,并使用网格形成逆变器进行数值模拟来说明算法。

Modern safety-critical energy infrastructures are increasingly operated in a hierarchical and modular control framework which allows for limited data exchange between the modules. In this context, it is important for each module to synthesize and communicate constraints on the values of exchanged information in order to assure system-wide safety. To ensure transient safety in inverter-based microgrids, we develop a set invariance-based distributed safety verification algorithm for each inverter module. Applying Nagumo's invariance condition, we construct a robust polynomial optimization problem to jointly search for safety-admissible set of control set-points and design parameters, under allowable disturbances from neighbors. We use sum-of-squares (SOS) programming to solve the verification problem and we perform numerical simulations using grid-forming inverters to illustrate the algorithm.

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