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2020 | OriginalPaper | Chapter

Linear Model to Represent Unbalanced Distribution Systems in Optimization Problems

Authors : Analiza Dalla Costa, Sérgio Haffner, Mariana Resener, Luís Alberto Pereira, Bibiana Maitê Petry Ferraz

Published in: Handbook of Optimization in Electric Power Distribution Systems

Publisher: Springer International Publishing

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Abstract

This chapter presents a linear model to determine node voltages and branch currents of unbalanced power distribution systems (PDS). The model allows to obtain approximate solutions for the load flow problem trough the solution of a system of linear equations, instead of using an iterative process as in the conventional load flow. Besides, a discussion on load modeling in PDS is presented to support the proposed model. Numerical studies are presented using a modified version of the IEEE 34-node test feeder. The agreement of results obtained with our linear model with corresponding results obtained through a conventional nonlinear load flow allowed to conclude that the proposed model is not only valid but also can give accurate results.

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previous chapter Consensus Based Distributed Optimal Reactive Power Control in Power Distribution Systems

next chapter Convex Optimization for the Optimal Power Flow on DC Distribution Systems

The adjustment of the phase angle in nodal voltages and currents in branches is performed after the solution, as described in Sect. 8.

Current imbalances in the phases of synchronous generators can cause additional losses in the stator and rotor leading to excessive temperature rise and thus potential damage to the windings; besides, imbalances can increase mechanical stress and produce vibrations in the structural parts. Therefore, in practice, protection devices limit imbalances to 5%.

The difference is zero since the adjustment factor K _km,ph is obtained for the same operation point.

Note that the adjustment factors K _km,ph are calculated so that no differences arise in the voltage magnitudes of the base case; yet the power losses are not corrected.

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Title: Linear Model to Represent Unbalanced Distribution Systems in Optimization Problems
Authors: Analiza Dalla Costa
Sérgio Haffner
Mariana Resener
Luís Alberto Pereira
Bibiana Maitê Petry Ferraz
Publisher: Springer International Publishing
Book: Handbook of Optimization in Electric Power Distribution Systems
Print ISBN: 978-3-030-36114-3

Electronic ISBN: 978-3-030-36115-0

Copyright Year: 2020
DOI: https://doi.org/10.1007/978-3-030-36115-0_3

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