### Jorge Cortés

#### Professor

Characterizing tolerable disturbances for transient-state
safety in power networks

Y. Zhang, J. Cortés

IEEE Transactions on Network Science and
Engineering 6 (3) (2019), 210-224

### Abstract

This paper develops methods to compute the set of
disturbances on a power network that do not tip the
frequency of each bus and the power flow in each
transmission line beyond pre-defined bounds. For a
linearized AC power network model, we consider
scenarios with varying degree of knowledge about the
form of the disturbance. We propose a sampling
method to provide inner and outer approximations
with tunable accuracy of the set of tolerable
disturbances. The complexity of computing such set
approximations is a function of the number of
sampling points. We introduce an error metric to
measure the gap between the approximations and
design an algorithm that finds, for fixed number of
sampling points, the sampling sequence that
minimizes its value. Simulations on the IEEE 39-bus
power network illustrate our results.

pdf

Mechanical and Aerospace Engineering,
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