3 papers
eess.SY2019
Approximating regions of attraction of a sparse polynomial differential system *
Didier Henrion, Matteo Tacchi, Carmen Cardozo +1
Motivated by stability analysis of large scale power systems, we describe how the Lasserre (moment-sums of squares, SOS) hierarchy can be used to generate outer approximations of t…
math.OC2019
Exploiting Sparsity for Semi-Algebraic Set Volume Computation
Matteo Tacchi, Tillmann Weisser, Jean-Bernard Lasserre +1
We provide a systematic deterministic numerical scheme to approximate the volume (i.e. the Lebesgue measure) of a basic semi-algebraic set whose description follows a sparsity patt…
math.OC2018
Transient Stability Analysis of Power Systems via Occupation Measures
Cedric Josz, Daniel K. Molzahn, Matteo Tacchi +1
We propose the application of occupation measure theory to the classical problem of transient stability analysis for power systems. This enables the computation of certified inner…