  This paper presents for the first time, to our knowledge, a framework for
verifying neural network behavior in power system applications. Up to this
moment, neural networks have been applied in power systems as a black-box; this
has presented a major barrier for their adoption in practice. Developing a
rigorous framework based on mixed integer linear programming, our methods can
determine the range of inputs that neural networks classify as safe or unsafe,
and are able to systematically identify adversarial examples. Such methods have
the potential to build the missing trust of power system operators on neural
networks, and unlock a series of new applications in power systems. This paper
presents the framework, methods to assess and improve neural network robustness
in power systems, and addresses concerns related to scalability and accuracy.
We demonstrate our methods on the IEEE 9-bus, 14-bus, and 162-bus systems,
treating both N-1 security and small-signal stability.
