Voltage Stability Analysis in Medium-Voltage Distribution Networks Using a Second-Order Cone Approximation
Montoya, Oscar D.; Gil-González, Walter; Arias-Londoño, Andrés; Rajagopalan, Arul; Hernández, Jesus C. 2020. "Voltage Stability Analysis in Medium-Voltage Distribution Networks Using a Second-Order Cone Approximation" Energies 13, no. 21: 5717. https://doi.org/10.3390/en13215717
Universidad Tecnológica de Bolívar
Repositorio Universidad Tecnológica de Bolívar
Montoya, Oscar Danilo
Hernández, Jesus C.
This paper addresses the voltage stability margin calculation in medium-voltage distribution networks in the context of exact mathematical modeling. This margin calculation is performed with a second-order cone (SOCP) reformulation of the classical nonlinear non-convex optimal power flow problems. The main idea around the SOCP approximation is to guarantee the global optimal solution via convex optimization, considering as the objective function the λ-coefficient associated with the maximum possible increment of the load consumption at all the nodes. Different simulation cases are considered in one test feeder, described as follows: (i) the distribution network without penetration of distributed generation; (ii) the distribution network with penetration of distributed generation; and (iii) the distribution grid with capacitive compensation. Numerical results in the test system demonstrated the effectiveness of the proposed SOCP approximation to determine the λ-coefficient. In addition, the proposed approximation is compared with nonlinear tools available in the literature. All the simulations are carried out in the MATLAB software with the CVX package and the Gurobi solver.