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

Oscar Danilo Montoya, Walter Gil-González, Andrés Arias-Londoño, Arul Rajagopalan and Jesus C. Hernández
Additional contact information
Oscar Danilo Montoya: Facultad de Ingeniería, Universidad Distrital Francisco José de Caldas, Bogotá D.C 11021, Colombia
Walter Gil-González: Facultad de Ingeniería, Institución Universitaria Pascual Bravo, Campus Robledo, Medellín 050036, Colombia
Andrés Arias-Londoño: Facultad de Ingeniería, Institución Universitaria Pascual Bravo, Campus Robledo, Medellín 050036, Colombia
Arul Rajagopalan: School of Electrical Engineering, Vellore Institute of Technology, Chennai 632014, India
Jesus C. Hernández: Department of Electrical Engineering, Campus Lagunillas s/n, University of Jaén, Edificio A3, 23071 Jaén, Spain

Energies, 2020, vol. 13, issue 21, 1-15

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.

Keywords: second order cone programming; voltage stability analysis; optimal power flow model; convex optimization (search for similar items in EconPapers)
JEL-codes: Q Q0 Q4 Q40 Q41 Q42 Q43 Q47 Q48 Q49 (search for similar items in EconPapers)
Date: 2020
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (3)

Downloads: (external link)
https://www.mdpi.com/1996-1073/13/21/5717/pdf (application/pdf)
https://www.mdpi.com/1996-1073/13/21/5717/ (text/html)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:gam:jeners:v:13:y:2020:i:21:p:5717-:d:438697

Access Statistics for this article

Energies is currently edited by Ms. Agatha Cao

More articles in Energies from MDPI
Bibliographic data for series maintained by MDPI Indexing Manager ().