Universitat Politècnica de Catalunya, Barcelona



On Abel differential equations of the 2nd kind and exact inversion with boost DC-AC converters


The use of DC-DC boost-based switched converter for DC-AC step-up inversion applications has been long handicapped by the fact that it requires non-offset, periodic current reference profiles that satisfy an Abel differential equation of the 2nd kind, and this is a challenging problem because the corresponding vector field becomes nonsmooth in zero-crossing points. As a consequence, the proposals made so far considered either offset inversion, which is much less interesting from a practical point of view, or theoretically unsupported approximate non-offset inversion schemes. However, sufficient conditions for the existence of periodic solutions with nonconstant sign in Abel equations of the 2nd kind have been recently reported. In this talk we review these results, and we apply them to the exact inversion problem with a boost DC-AC power converter.


The Catalan Mathematical Society invites participants to this first congress of a biannual series focusing on current research topics across several areas of Mathematics.

Plenary talks and thematic sessions have been selected by the Scientific Committee of the SCM. Special thanks are due to the organisers of the thematic sessions and to the local mathematical community as a whole for their support to this congress.



Societat Catalana de Matemàtiques
Institut d'Estudis Catalans
Carrer del Carme, 47
08001 Barcelona

Phone: +34 933 248 583

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