Summary
International Symposium on Nonlinear Theory and its Applications
2005
Session Number:3-1-1
Session:
Number:3-1-1-4
A Cyclo?dissipativity Framework for Power Factor Compensation of Electrical Circuits
Elo?sa Garc?a?Canseco, Robert Grino, Romeo Ortega, Miguel Salichs, Alexander Stankovic,
pp.687-690
Publication Date:2005/10/18
Online ISSN:2188-5079
Summary:
The purpose of this paper is to bring to the attention of the control community some of the aspects of the practically important, and mathematically challenging, power factor compensation problem. Our main contribution is identifying the key role played by cyclo?dissipativity in the solution of the problem. Namely, we prove that a necessary condition for a (shunt) compensator to improve the power transfer is that the load satisfies a given cyclo?dissipativity property, which naturally leads to a formulation of the compensation problem as one of cyclo? dissipasivation. Cyclo?dissipative systems exhibit a net absorption of (abstract) energy only along closed paths, while a dissipative system cannot create energy for all trajectories, henceforth, this concept generalizes the one of passivation.