Inverter power-controller of an electrical generating system based on a static power converter aimed at improving the integration of renewable energy plants to an electric grid, where the power controller comprises two main blocks, referred to as: electromechanical block formed by a virtual electromechanical characteristic controller and an inertia and damping factor controller which generates and transmits a virtual internal electromotive force (e) to an electric block , formed by a virtual electrical characteristic controller and a virtual admittance controller , characterized in that the virtual electromechanical characteristic controller is configured to: - receive the power difference (ΔP) existing between an input power (P in ) into the converter and a power delivered to the grid (P elec ), as well as the virtual inertia (J 1 , J 2 , ..., J n ) and damping factor (ξ 1 , ξ 2 , ..., ξ n ) values for each frequency range (f 1 , f 2 , ... f n ) out of a plurality of frequency ranges and a series of auxiliary parameters, such as a nominal frequency of the system (ω rated ) and the maximum power supplied (P max ), as input signal, and with all of it - generate at the output the virtual internal electromotive force (e) and apply it to one of the inputs of the electric block wherein the inertia and damping factor controller is configured to: - receive input voltage (v in ), input current (i in ), output voltage (vout), and output current (i out ) signals and process them selectively according to a series of adjustment parameters (c 1 , c 2 ..., c n ) and powers of reference (P 1, P 2 ..., P n ) for each frequency range, and with all of it - generate the virtual inertia (J 1 , J 2 , ..., J n ) and the damping factor values (ξ 1 , ξ 2 , ..., ξ n ) for each frequency. electromechanical block formed by a virtual electromechanical characteristic controller and an inertia and damping factor controller which generates and transmits a virtual internal electromotive force (e) to an electric block , formed by a virtual electrical characteristic controller and a virtual admittance controller , - receive the power difference (ΔP) existing between an input power (P in ) into the converter and a power delivered to the grid (P elec ), as well as the virtual inertia (J 1 , J 2 , ..., J n ) and damping factor (ξ 1 , ξ 2 , ..., ξ n ) values for each frequency range (f 1 , f 2 , ... f n ) out of a plurality of frequency ranges and a series of auxiliary parameters, such as a nominal frequency of the system (ω rated ) and the maximum power supplied (P max ), as input signal, and with all of it - generate at the output the virtual internal electromotive force (e) and apply it to one of the inputs of the electric block wherein the inertia and damping factor controller is configured to: - receive input voltage (v in ), input current (i in ), output voltage (vout), and output current (i out ) signals and process them selectively according to a series of adjustment parameters (c 1 , c 2 ..., c n ) and powers of reference (P 1, P 2 ..., P n ) for each frequency range, and with all of it - generate the virtual inertia (J 1 , J 2 , ..., J n ) and the damping factor values (ξ 1 , ξ 2 , ..., ξ n ) for each frequency. <EOS>