Security constrained OPF incorporating corrective control of HVDC

This paper introduces linear current distribution factors for use in: (a) SCOPF formulations, and (b) in analytical approximations of corrective control actions for HVDC lines. These are relationships based on complex numbers, which can be used in the context of full AC power flow equations. Three distribution factors are introduced: the linear AC outage distribution factor (LOCDF), the current distribution factor (CDF), and a linear factor which expresses the effect of HVDC corrective control actions on the line currents. Through case studies we show that the accuracy of the proposed linear factors is comparable to existing, more complex, methods. We further demonstrate their applicability in an SCOPF problem, incorporating the corrective control capabilities of HVDC. The use of the proposed linear factors results in faster computation times, as they can be precomputed before the execution of the SCOPF algorithm. Furthermore, taking advantage of their linear properties, we introduce an approximate analytical solution for corrective control of HVDC lines. We apply this closed form relationship on a case study for line outages.