Modeling of uncertainty and applications in monitoring and control of power electronics

This paper describes the application of polynomial chaos theory to the modeling, simulation, and control of power electronics systems. The result of this work is a circuit simulation method that is able to quantitatively account for the uncertainty of component parameters, and thereby reveal the effects of those uncertainties, during the design process. This paper introduces the mathematical background and then three, different applications: automatic system modeling under uncertainty, uncertainty-based control, uncertainty-based monitoring and diagnostics.