Ensuring the stability of the electrical system throughout its operation is becoming a major challenge, particularly with the increase in electricity demand, the change in the topology of electrical networks and the insertion of renewable energies. This can be ensured by the introduction of flexible AC transmission systems (FACTS), such as hybrid power flow controllers (HPFC) which alternate unified power flow controllers (UPFC). The HPFC controller, with its more economical aspect, must control the real power and regulate the voltage in the electrical networks. It can also separately control the total reactive power exchanged with the transmitting and receiving ends of the line. Several HPFC topologies are used in electrical engineering. It can consist of two synchronous static compressors (SSSC) connected in series, and in shunt with a static voltage compensator (SVC). As it can consist of two shunt static compensators (STATCOM), connected by a thyristor controlled series compensator (TCSC) through a coupling transformer in a common DC link. This manuscript presents the efficiency of inserting the multiband power system stabilizer (MB-PSS) into a power grid integrated by wind and solar sources, and controlled by a hybrid power flow controller (HPFC). The analysis is established on a kundur multi-machine system with 4 generators and 11 nodes. The curves of the voltages at the nodes between the two zones and the curves of the active and reactive powers transmitted from one zone to the other are produced using the Matlab/simulink software.