Application of reduced PTDF matrix in iterative modified DC network model for cross-border capacity calculation with consideration of reactive power flow constraints

One of the biggest threats for the security of power grids are congestion of cross-border lines and congestion in the network itself as result of parallel flows. Nowadays, occurrence of congestion is a result of limited network transfer capacities as a direct consequence of increased power transactions. One of the reasons for cross-border congestions are the unreal cross-border capacities calculations. This is a result of assumptions and simplifications made in the methodologies for total transfer capacity calculation. In this paper, we propose an iterative optimization algorithm based on modified DC network model that takes into consideration reactive power flows and all the constraints that comes forward. The proposed methodology is based on reduced Power Transfer Distribution Factor (PTDF) Power Transfer Distribution Factor) matrix. This approach successfully solves two DC Optimal Power Flow (OPF) problems: cost minimization and total transfer capacity calculation. For testing purposes IEEE test network RTS 96 is used.