Determinación del margen de estabilidad de voltaje en sistemas de distribución empleando optimización matemática

Abstract

This document describes the problem of determining the voltage stability margin in distribution systems and optimal location of distributed generation ~ (GD) using mathematical optimization through the presentation of a mixed integer non-linear programming model (MINLP). To solve this model, the General Algebraic Modeling System (GAMS) is used in conjunction with the BONMIN solver, presenting the implementation of the model in a small radial distribution system of 7 nodes, additionally a description about the software functionalities is presented GAMS, all of the above as an example. In addition, an explanation is made of the process to obtain the voltage stability margin and its curve $ PV $ or $\lambda V $ of a simple radial source-line-load system and how this logic is transferred to obtaining said margin and curve in a radial system $ N $ nodes. IEEE 33 and 69 node test systems are used to validate the proposed solution methodology; The results obtained are verified by implementing the methodology for obtaining the voltage stability curve through a recursive implementation in MATLAB software of the power flow method known as successive approximations; The behavior of the weak node stress of the test systems and its respective stability margin coefficient $ \ lambda $ are graphically illustrated for three case studies with different penetration percentages of Distributed Generation. Then the simulation of the test systems is carried out in DIgSILENT in order to obtain an approximation of the real-life behavior of the system in the event of load increases, this with the help of a DPL ~ command (DigSILENT programming language). An analysis of the results obtained is carried out where the importance of the development of this methodology is evidenced, where the location of distributed generation sources in the network has a great benefit on aspects that affect the quality of the service.