New Representation of Power Injection Model of IDC-PFC within NR-based MT-HVDC Grids Power Flow Studies

DC power flow controller (PFC)s are suitable equipment to provide secure/reliable operation of the multi-terminal HVDC (MT-HVDC) networks. Also, they enhance the controllability of these grids. This paper proposes a new representation of the Newton-Raphson (NR) based DC power flow (PF) solver to provide suitable DC PF studies of PFC compensated/flexible MT-HVDC grids. To achieve this aim, the power injection model (PIM) (under static condition) for an interline DC PFC (IDC-PFC) is proposed and embedded within the presented DC PF solver (DC-PFS) while the symmetry and original framework of the conductance matrix of the system is yet preserved and the proposed concept imposes a few changes on the related Jacobin matrix. In the proposed model, resistive shunt admittance of HVDC lines is also taken into account. Modifying the physical and control state variables of the whole system (IDC-PFC and MT-HVDC grid) in a common collaboration, the predetermined control objective(s) are obtained. The accurate concept and effectiveness of the presented IDC-PFC models and new representation of the NR-based DC-PFS are verified by performing dynamic and static simulations on an 8-bus MT-HVDC test network.