A key solution in response to the challenge of economical harvesting of electrical energy and considering the environmental issues, could be to integrate more and more distributed generators (DGs) and renewable energy sources (RESs) in the electric network. However, recent studies have investigated that relatively high DGs/RESs integration will have some negative impacts on power grid dynamics, power quality, frequency control, voltage regulation, as well as other control and operation issues. In consequence, this challenge significantly limits the rate of renewable power penetration as well as overall system stability margin. An idea towards stabilizing a grid with numerous distributed DGs/RESs is to compensate system inertia and weak dynamics, virtually. This may be established by a grid-forming type of grid connected converters (GCCs). This setups will then operate to emulate desirable dynamics, such as inertia and damping properties, by flexible shaping of its output active and reactive powers. This approach provides a promising solution to improve power grid stability and performance in the presence of a high penetration of DGs/RESs. In this speech, recent advances on power grid dynamics shaping using controlled power inverters will be emphasized.