Solution of the Optimal Reactive Power Flow Problem Using a Discrete-Continuous CBGA Implemented in the DigSILENT Programming Language

The problem of the optimal reactive power flow in transmission systems is addressed in this research from the point of view of combinatorial optimization. A discrete-continuous version of the Chu & Beasley genetic algorithm (CBGA) is proposed to model continuous variables such as voltage outputs...

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Autores principales:	David Lionel Bernal-Romero, Oscar Danilo Montoya, Andres Arias-Londoño
Formato:	article
Lenguaje:	EN
Publicado:	MDPI AG 2021
Materias:	optimal reactive power flow DigSILENT programming language combinatorial optimization power losses minimization discrete-continuous codification Electronic computers. Computer science QA75.5-76.95
Acceso en línea:	https://doaj.org/article/2685b697f78c4f05ae47ae97ca8dd5ab
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spelling	oai:doaj.org-article:2685b697f78c4f05ae47ae97ca8dd5ab2021-11-25T17:17:29ZSolution of the Optimal Reactive Power Flow Problem Using a Discrete-Continuous CBGA Implemented in the DigSILENT Programming Language10.3390/computers101101512073-431Xhttps://doaj.org/article/2685b697f78c4f05ae47ae97ca8dd5ab2021-11-01T00:00:00Zhttps://www.mdpi.com/2073-431X/10/11/151https://doaj.org/toc/2073-431XThe problem of the optimal reactive power flow in transmission systems is addressed in this research from the point of view of combinatorial optimization. A discrete-continuous version of the Chu & Beasley genetic algorithm (CBGA) is proposed to model continuous variables such as voltage outputs in generators and reactive power injection in capacitor banks, as well as binary variables such as tap positions in transformers. The minimization of the total power losses is considered as the objective performance indicator. The main contribution in this research corresponds to the implementation of the CBGA in the DigSILENT Programming Language (DPL), which exploits the advantages of the power flow tool at a low computational effort. The solution of the optimal reactive power flow problem in power systems is a key task since the efficiency and secure operation of the whole electrical system depend on the adequate distribution of the reactive power in generators, transformers, shunt compensators, and transmission lines. To provide an efficient optimization tool for academics and power system operators, this paper selects the DigSILENT software, since this is widely used for power systems for industries and researchers. Numerical results in three IEEE test feeders composed of 6, 14, and 39 buses demonstrate the efficiency of the proposed CBGA in the DPL environment from DigSILENT to reduce the total grid power losses (between 21.17% to 37.62% of the benchmark case) considering four simulation scenarios regarding voltage regulation bounds and slack voltage outputs. In addition, the total processing times for the IEEE 6-, 14-, and 39-bus systems were <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mn>32.33</mn></mrow></semantics></math></inline-formula> s, <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mn>49.45</mn></mrow></semantics></math></inline-formula> s, and <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mn>138.88</mn></mrow></semantics></math></inline-formula> s, which confirms the low computational effort of the optimization methods directly implemented in the DPL environment.David Lionel Bernal-RomeroOscar Danilo MontoyaAndres Arias-LondoñoMDPI AGarticleoptimal reactive power flowDigSILENT programming languagecombinatorial optimizationpower losses minimizationdiscrete-continuous codificationElectronic computers. Computer scienceQA75.5-76.95ENComputers, Vol 10, Iss 151, p 151 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	optimal reactive power flow DigSILENT programming language combinatorial optimization power losses minimization discrete-continuous codification Electronic computers. Computer science QA75.5-76.95
spellingShingle	optimal reactive power flow DigSILENT programming language combinatorial optimization power losses minimization discrete-continuous codification Electronic computers. Computer science QA75.5-76.95 David Lionel Bernal-Romero Oscar Danilo Montoya Andres Arias-Londoño Solution of the Optimal Reactive Power Flow Problem Using a Discrete-Continuous CBGA Implemented in the DigSILENT Programming Language
description	The problem of the optimal reactive power flow in transmission systems is addressed in this research from the point of view of combinatorial optimization. A discrete-continuous version of the Chu & Beasley genetic algorithm (CBGA) is proposed to model continuous variables such as voltage outputs in generators and reactive power injection in capacitor banks, as well as binary variables such as tap positions in transformers. The minimization of the total power losses is considered as the objective performance indicator. The main contribution in this research corresponds to the implementation of the CBGA in the DigSILENT Programming Language (DPL), which exploits the advantages of the power flow tool at a low computational effort. The solution of the optimal reactive power flow problem in power systems is a key task since the efficiency and secure operation of the whole electrical system depend on the adequate distribution of the reactive power in generators, transformers, shunt compensators, and transmission lines. To provide an efficient optimization tool for academics and power system operators, this paper selects the DigSILENT software, since this is widely used for power systems for industries and researchers. Numerical results in three IEEE test feeders composed of 6, 14, and 39 buses demonstrate the efficiency of the proposed CBGA in the DPL environment from DigSILENT to reduce the total grid power losses (between 21.17% to 37.62% of the benchmark case) considering four simulation scenarios regarding voltage regulation bounds and slack voltage outputs. In addition, the total processing times for the IEEE 6-, 14-, and 39-bus systems were <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mn>32.33</mn></mrow></semantics></math></inline-formula> s, <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mn>49.45</mn></mrow></semantics></math></inline-formula> s, and <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mn>138.88</mn></mrow></semantics></math></inline-formula> s, which confirms the low computational effort of the optimization methods directly implemented in the DPL environment.
format	article
author	David Lionel Bernal-Romero Oscar Danilo Montoya Andres Arias-Londoño
author_facet	David Lionel Bernal-Romero Oscar Danilo Montoya Andres Arias-Londoño
author_sort	David Lionel Bernal-Romero
title	Solution of the Optimal Reactive Power Flow Problem Using a Discrete-Continuous CBGA Implemented in the DigSILENT Programming Language
title_short	Solution of the Optimal Reactive Power Flow Problem Using a Discrete-Continuous CBGA Implemented in the DigSILENT Programming Language
title_full	Solution of the Optimal Reactive Power Flow Problem Using a Discrete-Continuous CBGA Implemented in the DigSILENT Programming Language
title_fullStr	Solution of the Optimal Reactive Power Flow Problem Using a Discrete-Continuous CBGA Implemented in the DigSILENT Programming Language
title_full_unstemmed	Solution of the Optimal Reactive Power Flow Problem Using a Discrete-Continuous CBGA Implemented in the DigSILENT Programming Language
title_sort	solution of the optimal reactive power flow problem using a discrete-continuous cbga implemented in the digsilent programming language
publisher	MDPI AG
publishDate	2021
url	https://doaj.org/article/2685b697f78c4f05ae47ae97ca8dd5ab
work_keys_str_mv	AT davidlionelbernalromero solutionoftheoptimalreactivepowerflowproblemusingadiscretecontinuouscbgaimplementedinthedigsilentprogramminglanguage AT oscardanilomontoya solutionoftheoptimalreactivepowerflowproblemusingadiscretecontinuouscbgaimplementedinthedigsilentprogramminglanguage AT andresariaslondono solutionoftheoptimalreactivepowerflowproblemusingadiscretecontinuouscbgaimplementedinthedigsilentprogramminglanguage
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Solution of the Optimal Reactive Power Flow Problem Using a Discrete-Continuous CBGA Implemented in the DigSILENT Programming Language

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