This thesis discusses the control of static converter interfaces between fuel cells and associated electrical loads.After establishing the voltage-current characteristic of the fuel cells to justify the use of static converters, ananalysis is carried out on continuous-continuous conversion structures. Details are given on the basic boostconverter structure and the paralleled operation of several such converters. This last one is a satisfied solution forhigh current/low voltage supply such as the fuel cells. Two cases are then considered to realise the inductancesof these converters. Firstly, when inductances are independent of each other. Secondly when inductances arerealised in the same magnetic core.A hybrid current regulator is then proposed for the control of continuous-continuous converters when subject tosupply voltage fluctuations and of operating voltage range typical of a PEM fuel cell. The regulator operates atfixed frequency and includes the properties of three control modes, sliding control mode for its robustness andthe turn-off and turn-on current mode controls allowing proper operation of the system for any value of the dutycycle. Stability of the system using averaged models in low and high frequencies is presented. As the averagedmodel cannot allow the study of the exact cycle described by the trajectory of the system, a mathematical modelbased on the Floquet multipliers is derived. It allows highlighting the robustness of the regulator when theinductance and the voltage supply of the converter vary in a large range.
