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        Voltage Stability Analysis in Medium-Voltage Distribution Networks Using a Second-Order Cone Approximation

        Date
        2020-11-02
        Registration in:
        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
        https://hdl.handle.net/20.500.12585/10046
        10.3390/en13215717
        Universidad Tecnológica de Bolívar
        Repositorio Universidad Tecnológica de Bolívar
        http://repositorioslatinoamericanos.uchile.cl/handle/2250/3722429
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        Author
        Montoya, Oscar Danilo
        Gil-González, Walter
        Arias-Londoño, Andrés
        Rajagopalan, Arul
        Hernández, Jesus C.
        Institutions
        • Universidad Tecnológica de Bolivar UTB (Colombia)
        Abstract
        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.
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        Red de Repositorios Latinoamericanos
        + of 4.000.000
        Available publications
        163 Participating institutions
        Dirección de Servicios de Información y Bibliotecas (SISIB)
        Universidad de Chile
        Membership Login
        Featured collections
        • Latin American Theses
        • Argentinean Theses
        • Chilean Theses
        • Peruvian Theses
        Latest collections added
        • Argentina
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        Dirección de Servicios de Información y Bibliotecas (SISIB)
        Universidad de Chile
        Red de Repositorios Latinoamericanos | 2006-2018