Power Loss Minimization for Transformers Connected in Parallel with Taps Based on Power Chargeability Balance
In this paper, a model and solution approach for minimizing internal power losses in Transformers Connected in Parallel (TCP) with tap-changers is proposed. The model is based on power chargeability balance and seeks to keep the load voltage within an admissible range. For achieving this, tap positi...
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MDPI AG
2018-02-01
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Series: | Energies |
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Online Access: | http://www.mdpi.com/1996-1073/11/2/439 |
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author | Álvaro Jaramillo-Duque Nicolás Muñoz-Galeano José R. Ortiz-Castrillón Jesús M. López-Lezama Ricardo Albarracín-Sánchez |
author_facet | Álvaro Jaramillo-Duque Nicolás Muñoz-Galeano José R. Ortiz-Castrillón Jesús M. López-Lezama Ricardo Albarracín-Sánchez |
author_sort | Álvaro Jaramillo-Duque |
collection | DOAJ |
description | In this paper, a model and solution approach for minimizing internal power losses in Transformers Connected in Parallel (TCP) with tap-changers is proposed. The model is based on power chargeability balance and seeks to keep the load voltage within an admissible range. For achieving this, tap positions are adjusted in such a way that all TCP are set in similar/same power chargeability. The main contribution of this paper is the inclusion of several construction features (rated voltage, rated power, voltage ratio, short-circuit impedance and tap steps) in the minimization of power losses in TCP that are not included in previous works. A Genetic Algorithm (GA) is used for solving the proposed model that is a system of nonlinear equations with discrete decision variables. The GA scans different sets for tap positions with the aim of balancing the power supplied by each transformer to the load. For this purpose, a fitness function is used for minimizing two conditions: The first condition consists on the mismatching between power chargeability for each transformer and a desired chargeability; and the second condition is the mismatching between the nominal load voltage and the load voltage obtained by changing the tap positions. The proposed method is generalized for any given number of TCP and was implemented for three TCP, demonstrating that the power losses are minimized and the load voltage remains within an admissible range. |
first_indexed | 2024-04-14T06:40:08Z |
format | Article |
id | doaj.art-5530c919243f4c40b95a726204b125a6 |
institution | Directory Open Access Journal |
issn | 1996-1073 |
language | English |
last_indexed | 2024-04-14T06:40:08Z |
publishDate | 2018-02-01 |
publisher | MDPI AG |
record_format | Article |
series | Energies |
spelling | doaj.art-5530c919243f4c40b95a726204b125a62022-12-22T02:07:22ZengMDPI AGEnergies1996-10732018-02-0111243910.3390/en11020439en11020439Power Loss Minimization for Transformers Connected in Parallel with Taps Based on Power Chargeability BalanceÁlvaro Jaramillo-Duque0Nicolás Muñoz-Galeano1José R. Ortiz-Castrillón2Jesús M. López-Lezama3Ricardo Albarracín-Sánchez4Research Group in Efficient Energy Management (GIMEL), Universidad de Antioquia, Calle 67 No. 53-108, 050010 Medellín, ColombiaResearch Group in Efficient Energy Management (GIMEL), Universidad de Antioquia, Calle 67 No. 53-108, 050010 Medellín, ColombiaResearch Group in Efficient Energy Management (GIMEL), Universidad de Antioquia, Calle 67 No. 53-108, 050010 Medellín, ColombiaResearch Group in Efficient Energy Management (GIMEL), Universidad de Antioquia, Calle 67 No. 53-108, 050010 Medellín, ColombiaDepartamento de Ingeniería Eléctrica, Electrónica, Automática y Física Aplicada, Escuela Técnica Superior de Ingeniería y Diseño Industrial, Universidad Politécnica de Madrid, Ronda de Valencia 3, 28012 Madrid, SpainIn this paper, a model and solution approach for minimizing internal power losses in Transformers Connected in Parallel (TCP) with tap-changers is proposed. The model is based on power chargeability balance and seeks to keep the load voltage within an admissible range. For achieving this, tap positions are adjusted in such a way that all TCP are set in similar/same power chargeability. The main contribution of this paper is the inclusion of several construction features (rated voltage, rated power, voltage ratio, short-circuit impedance and tap steps) in the minimization of power losses in TCP that are not included in previous works. A Genetic Algorithm (GA) is used for solving the proposed model that is a system of nonlinear equations with discrete decision variables. The GA scans different sets for tap positions with the aim of balancing the power supplied by each transformer to the load. For this purpose, a fitness function is used for minimizing two conditions: The first condition consists on the mismatching between power chargeability for each transformer and a desired chargeability; and the second condition is the mismatching between the nominal load voltage and the load voltage obtained by changing the tap positions. The proposed method is generalized for any given number of TCP and was implemented for three TCP, demonstrating that the power losses are minimized and the load voltage remains within an admissible range.http://www.mdpi.com/1996-1073/11/2/439transformers connected in parallel (TCP)tap-changerspower chargeabilitypower loss minimizationgenetic algorithms |
spellingShingle | Álvaro Jaramillo-Duque Nicolás Muñoz-Galeano José R. Ortiz-Castrillón Jesús M. López-Lezama Ricardo Albarracín-Sánchez Power Loss Minimization for Transformers Connected in Parallel with Taps Based on Power Chargeability Balance Energies transformers connected in parallel (TCP) tap-changers power chargeability power loss minimization genetic algorithms |
title | Power Loss Minimization for Transformers Connected in Parallel with Taps Based on Power Chargeability Balance |
title_full | Power Loss Minimization for Transformers Connected in Parallel with Taps Based on Power Chargeability Balance |
title_fullStr | Power Loss Minimization for Transformers Connected in Parallel with Taps Based on Power Chargeability Balance |
title_full_unstemmed | Power Loss Minimization for Transformers Connected in Parallel with Taps Based on Power Chargeability Balance |
title_short | Power Loss Minimization for Transformers Connected in Parallel with Taps Based on Power Chargeability Balance |
title_sort | power loss minimization for transformers connected in parallel with taps based on power chargeability balance |
topic | transformers connected in parallel (TCP) tap-changers power chargeability power loss minimization genetic algorithms |
url | http://www.mdpi.com/1996-1073/11/2/439 |
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