This paper presents a new electric power management methodology between super capacitors and batteries for the ECCe test bench. ECCE is an experimental Hybrid Vehicle developed at L2ES laboratory in collaboration with the Research in Electrical Engineering and Electronics Center for Belfort (CREEBEL) and other French partners. This hybrid vehicle has currently lead-acid batteries with a rated voltage at 540 V, two ICE motors couples to electric generators. These alternators are couples to DC-link by rectifiers. The main objective of this study is to associate two super capacitors modules to DC-link of this experimental test bench by using DC/DC Converters topologies. The super capacitors module is made of 108 cells with a maximum voltage of 270 V. The authors propose an original power management strategy between super capacitors and batteries by using the RST polynomial correctors. The Hybrid Vehicle power management algorithm is developed for two DC/DC converters topologies. The advantage of polynomial correctors RST in the power management is compared to classical PI correctors.