DocumentCode :
79306
Title :
Efficient Computation of Sensitivity Coefficients of Node Voltages and Line Currents in Unbalanced Radial Electrical Distribution Networks
Author :
Christakou, Konstantina ; LeBoudec, J. ; PAOLONE, MARIO ; Tomozei, Dan-Cristian
Author_Institution :
Ecole Polytech. Fed. de Lausanne, Lausanne, Switzerland
Volume :
4
Issue :
2
fYear :
2013
fDate :
Jun-13
Firstpage :
741
Lastpage :
750
Abstract :
The problem of optimal control of power distribution systems is becoming increasingly compelling due to the progressive penetration of distributed energy resources in this specific layer of the electrical infrastructure. Distribution systems are, indeed, experiencing significant changes in terms of operation philosophies that are often based on optimal control strategies relying on the computation of linearized dependencies between controlled (e.g., voltages, frequency in case of islanding operation) and control variables (e.g., power injections, transformers tap positions). As the implementation of these strategies in real-time controllers imposes stringent time constraints, the derivation of analytical dependency between controlled and control variables becomes a non-trivial task to be solved. With reference to optimal voltage and power flow controls, this paper aims at providing an analytical derivation of node voltages and line currents as a function of the nodal power injections and transformers tap-changers positions. Compared to other approaches presented in the literature, the one proposed here is based on the use of the [Y] compound matrix of a generic multi-phase radial unbalanced network. In order to estimate the computational benefits of the proposed approach, the relevant improvements are also quantified versus traditional methods. The validation of the proposed method is carried out by using both IEEE 13 and 34 nodes test feeders. The paper finally shows the use of the proposed method for the problem of optimal voltage control applied to the IEEE 34 node test feeder.
Keywords :
IEEE standards; distribution networks; energy resources; frequency control; load flow control; optimal control; sensitivity; transformers; voltage control; IEEE 13 nodes test feeder; IEEE 34 nodes test feeder; compound matrix; distributed energy resources; electrical infrastructure; generic multiphase radial unbalanced network; line current; nodal power injection; node voltage; optimal voltage control; power distribution system; power flow control; real-time controller; sensitivity coefficient; transformer tap-changers position; unbalanced radial electrical distribution network; Computational efficiency; Equations; Jacobian matrices; Mathematical model; Reactive power; Sensitivity; Voltage control; Power systems optimal operation; smart grids; unbalanced electrical distribution networks; voltage/current sensitivity coefficients;
fLanguage :
English
Journal_Title :
Smart Grid, IEEE Transactions on
Publisher :
ieee
ISSN :
1949-3053
Type :
jour
DOI :
10.1109/TSG.2012.2221751
Filename :
6473866
Link To Document :
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