Voltage Stability Margin in DC Grids with CPLs: A Recursive Newton–Raphson Approximation

This express brief addresses the voltage collapse problem in direct-current (DC) networks by using a recursive heuristic search algorithm based on the Newton–Raphson method. The determinant of the Jacobian matrix in the Newton–Raphson method is used as a sensitivity index to determine the maximum power consumption of the DC network. The recursive solution approach corresponds to a sequential power flow approach by incrementing all values of the power consumptions uniformly. Simulation results validate the efficiency of the proposed method in comparison to the large-scale nonlinear solvers available in the GAMS optimization package. The MATLAB programming environment was employed for implementing the proposed recursive Newton–Raphson method.