Equivalent hamiltonian equations modelling and energy function construction for MMC-HVDC in hybrid AC/DC power systems

This paper proposes an equivalent Hamiltonian equations model for the modular multilevel converter-based high-voltage direct-current (MMC-HVDC) transmission system, and constructs an energy function for multi-machine power systems with MMC-HVDC transmission lines. The equivalent Hamiltonian equations model is verified to be able to track the power output dynamics of the full model of an MMC-HVDC transmission system. Both theoretical and numerical studies have been undertaken to validate that the energy function proposed for hybrid AC/DC systems satisfies the conditions of an energy function. The work of this paper bridges the gap between the well-developed direct methods of transient stability analysis and power systems with MMC-HVDC transmission lines.