Abdellatif Ben Makhlouf

In this article, a real case of a one MW PV substation design problem is described. The impact of the tolerances of power components (mainly inductors and capacitors) on the design is highlighted through two studies using two different control strategies that are selective harmonic elimination (SHE) and selective harmonic modulation (SHM). The obtained results show that the components’ tolerances have a significant effect on the design, especially for the SHE strategy. While the design using SHM control shows a weak sensitivity to the components’ tolerance. In this study, an upgrade of the most sensitive control strategy is proposed in order to improve its sensitivity against components’ tolerance. The results show that the strategy upgrading leads not only to improving the sensitivity but also to generating better power quality.

In this work, a class of two-dimensional fractional hyperbolic differential linear system (2D-FHDLS) with time delay is investigated. By using generalized Gronwall’s inequality, sufficient conditions for the finite time stability (FTS) of two-dimensional fractional hyperbolic differential system with time delay are given. Numerical examples are also given to illustrate the stability result.