A MATLAB graphical user interface for nonintrusive polynomial chaos theory

Abstract

Polynomial chaos theory is a sophisticated method for the analysis of uncertainty propagation in dynamic systems, which is considerably faster than Monte Carlo methods in systems with few random parameters. Classically, all system laws are re-formulated into a deterministic set of equations, but in recent years, a nonintrusive variation has been developed to apply polynomial chaos to black boxes. However, a major constraint for the application of this concept is the depth of its mathematical foundations, followed by many adjustments. After a brief introduction of this concept, we would therefore like to present a graphical user interface which facilitates its use. Through this tool, the numerous difficulties in applying polynomial chaos become irrelevant for the user. Additionally, we show possible applications using the example of a buck converter, with a custom made interface tool between the commercial simulation environments MATLAB and SimulationX.