With the ultimate aim to remove/reduce constraints on the amount of non-synchronous generators that may be connected to power systems, this paper identifies potential problems associated with system dynamics under high penetrations of converter-interfaced sources, especially from the perspective of inertia and responses to disturbances. The configuration of VSC-HVDC transmission systems and their controllers is introduced and analysed. Methods that have been proposed to enable VSC-HVDC systems to provide frequency response are reviewed, and a typical VSC-HVDC system with an associated control system is built and validated in Matlab Simulink. These models will form a key part of a modelling toolkit that is being developed to investigate optimal methods for reducing (or removing) future Non-Synchronous Generation (NSG) penetration constraints in the power system in the UK, which represents further work that will be conducted in this project