Global sensitivity has mainly been analyzed in static models, though most physical systems can be described by differential equations. Very few approaches have been proposed for the sensitivity of dynamic models and the only ones are local. Nevertheless, it would be of great interest to consider the entire uncertainty range of parameters since they can vary within large intervals depending on their meaning. Other advantage of global analysis is that the sensitivity indices of a given parameter are evaluated while all the other parameters can be varied. In this way, the relative variability of each parameter is taken into account, revealing any possible interactions. This paper presents the global sensitivity analysis for dynamic models with an original approach based on the polynomial chaos (PC) expansion of the output. The evaluation of the PC expansion of the output is less expensive compared to direct simulations. Moreover, at each time instant, the coefficients of the PC decomposition convey the parameter sensitivity and then a sensitivity function can be obtained. The PC coefficients are determined using non-intrusive methods. The proposed approach is illustrated with some well-known dynamic systems.

Interleaved switching converters are used in several applications such as power source for a PC microprocessor, one of their advantages is the capability to cancel a portion of the current ripple generated by the switching action, in the output for a buck case and in the input for a boost case. Depending to the voltage gain the operate, that current ripple can be equal to zero. Interleaving connections are made with converters of the same topology, this work explores the interleaving connection of unequal topologies Boost and Cuk, the objective is to develop an interleaving boost topology to reduce the total harmonic distortion at the input current in the full operating range, the input current ripple represents the power quality of switching mode power supplies from the input source point of view. The combined converter achieves a larger voltage gain compared with the traditional boost converter but their main advantage is the extra degree of freedom on reducing the input current ripple for certain operating conditions. Experimental results are provided to verify the theoretical analysis and prof the principle of operation.

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