Operation of unbalanced three-phase islanded microgrids

Jhon A. Castrillon, Juan S. Giraldo, Pedro P. Vergara

Research output: Chapter in Book/Report/Conference proceedingChapterAcademicpeer-review


This chapter presents a stochastic mixed-integer second-order cone programming model for the operation of grid-connected (GC) and standalone (SA) three-phase microgrids. The proposed formulation minimizes the imported energy cost from the main grid in GC mode, as well as the unserved energy during a certain period of time during planned disconnection from the main grid due to intermittent supply or planned outages. It takes into account consumers’ priorities and guarantees the operational limits of the system, including voltage limits, branch current ratings, and operational limits of the devices, among others. Controllable components such as dispatchable distributed generation units, energy storage systems, and demand-side response are considered in the model along with renewable energy sources (RES) like wind turbines and photovoltaic generation units.

The model presented in this chapter has been tested for a defined time horizon on a 25-bus microgrid, while considering uncertainty on conventional demands and RES. The effect of the obtained decisions on the operational points of the microgrid will be assessed on a second stage by analyzing a probabilistic power flow using the Monte Carlo simulation method.
Original languageEnglish
Title of host publicationControl of Stand Alone Microgrid
EditorsAnuradha Tomar, Ritu Kandari, Prerna Gaur, Neeraj Gupta
Number of pages19
ISBN (Print)978-0-12-823022-0
Publication statusPublished - 9 Jul 2021
Externally publishedYes


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