Application of the Hurricane Optimization Algorithm to Estimate Parameters in Single-Phase Transformers Considering Voltage and Current Measures
In this research paper, a combinatorial optimization approach is proposed for parameter estimation in single-phase transformers considering voltage and current measurements at the transformer terminals. This problem is represented through a nonlinear programming model (NLP), whose objective is to mi...
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MDPI AG
2022-04-01
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| Series: | Computers |
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| Online Access: | https://www.mdpi.com/2073-431X/11/4/55 |
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| author | Brandon Cortés-Caicedo Oscar Danilo Montoya Andrés Arias-Londoño |
| author_facet | Brandon Cortés-Caicedo Oscar Danilo Montoya Andrés Arias-Londoño |
| author_sort | Brandon Cortés-Caicedo |
| collection | DOAJ |
| description | In this research paper, a combinatorial optimization approach is proposed for parameter estimation in single-phase transformers considering voltage and current measurements at the transformer terminals. This problem is represented through a nonlinear programming model (NLP), whose objective is to minimize the root mean square error between the measured voltage and current values and the calculated values from the equivalent model of the single-phase transformer. These values of voltage and current can be determined by applying Kirchhoff’s Laws to the model <i>T</i> of the transformer, where its parameters, series resistance and reactance as well as the magnetization resistance and reactance, i.e., <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mi>R</mi><mn>1</mn></msub></semantics></math></inline-formula>, <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msubsup><mi>R</mi><mn>2</mn><mo>′</mo></msubsup></semantics></math></inline-formula>, <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mi>X</mi><mn>1</mn></msub></semantics></math></inline-formula>, <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msubsup><mi>X</mi><mn>2</mn><mo>′</mo></msubsup></semantics></math></inline-formula>, <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mi>R</mi><mi>c</mi></msub></semantics></math></inline-formula> y <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mi>X</mi><mi>m</mi></msub></semantics></math></inline-formula>, are provided by the Hurricane Optimization Algorithm (HOA). The numerical results in the 4 kVA, 10 kVA and 15 kVA single-phase test transformers demonstrate the applicability of the proposed method since it allows the reduction of the average error between the measured and calculated electrical variables by 1000% compared to the methods reported in the specialized literature. This ensures that the parameters estimated by the proposed methodology, in each test transformer, are close to the real value with an accuracy error of less than 6%. Additionally, the computation times required by the algorithm to find the optimal solution are less than 1 second, which makes the proposed HOA robust, reliable, and efficient. All simulations were performed in the MATLAB programming environment. |
| first_indexed | 2024-03-09T10:59:21Z |
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| language | English |
| last_indexed | 2024-03-09T10:59:21Z |
| publishDate | 2022-04-01 |
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| spelling | doaj.art-9822c0388a1c43c5ab028cfe79b3602b2023-12-01T01:22:27ZengMDPI AGComputers2073-431X2022-04-011145510.3390/computers11040055Application of the Hurricane Optimization Algorithm to Estimate Parameters in Single-Phase Transformers Considering Voltage and Current MeasuresBrandon Cortés-Caicedo0Oscar Danilo Montoya1Andrés Arias-Londoño2Departamento de Mecatrónica y Electromecánica, Facultad de Ingeniería, Instituto Tecnológico Metropolitano, Medellín 050036, ColombiaGrupo de Compatibilidad e Interferencia Electromagnética, Facultad de Ingeniería, Universidad Distrital Francisco José de Caldas, Bogotá 110231, ColombiaFacultad de Ingeniería, Campus Robledo, Institución Universitaria Pascual Bravo, Medellín 050036, ColombiaIn this research paper, a combinatorial optimization approach is proposed for parameter estimation in single-phase transformers considering voltage and current measurements at the transformer terminals. This problem is represented through a nonlinear programming model (NLP), whose objective is to minimize the root mean square error between the measured voltage and current values and the calculated values from the equivalent model of the single-phase transformer. These values of voltage and current can be determined by applying Kirchhoff’s Laws to the model <i>T</i> of the transformer, where its parameters, series resistance and reactance as well as the magnetization resistance and reactance, i.e., <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mi>R</mi><mn>1</mn></msub></semantics></math></inline-formula>, <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msubsup><mi>R</mi><mn>2</mn><mo>′</mo></msubsup></semantics></math></inline-formula>, <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mi>X</mi><mn>1</mn></msub></semantics></math></inline-formula>, <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msubsup><mi>X</mi><mn>2</mn><mo>′</mo></msubsup></semantics></math></inline-formula>, <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mi>R</mi><mi>c</mi></msub></semantics></math></inline-formula> y <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mi>X</mi><mi>m</mi></msub></semantics></math></inline-formula>, are provided by the Hurricane Optimization Algorithm (HOA). The numerical results in the 4 kVA, 10 kVA and 15 kVA single-phase test transformers demonstrate the applicability of the proposed method since it allows the reduction of the average error between the measured and calculated electrical variables by 1000% compared to the methods reported in the specialized literature. This ensures that the parameters estimated by the proposed methodology, in each test transformer, are close to the real value with an accuracy error of less than 6%. Additionally, the computation times required by the algorithm to find the optimal solution are less than 1 second, which makes the proposed HOA robust, reliable, and efficient. All simulations were performed in the MATLAB programming environment.https://www.mdpi.com/2073-431X/11/4/55hurricane optimization algorithmparametric estimationsingle-phase transformersminimization of mean square errornonlinear programming modelvoltage |
| spellingShingle | Brandon Cortés-Caicedo Oscar Danilo Montoya Andrés Arias-Londoño Application of the Hurricane Optimization Algorithm to Estimate Parameters in Single-Phase Transformers Considering Voltage and Current Measures Computers hurricane optimization algorithm parametric estimation single-phase transformers minimization of mean square error nonlinear programming model voltage |
| title | Application of the Hurricane Optimization Algorithm to Estimate Parameters in Single-Phase Transformers Considering Voltage and Current Measures |
| title_full | Application of the Hurricane Optimization Algorithm to Estimate Parameters in Single-Phase Transformers Considering Voltage and Current Measures |
| title_fullStr | Application of the Hurricane Optimization Algorithm to Estimate Parameters in Single-Phase Transformers Considering Voltage and Current Measures |
| title_full_unstemmed | Application of the Hurricane Optimization Algorithm to Estimate Parameters in Single-Phase Transformers Considering Voltage and Current Measures |
| title_short | Application of the Hurricane Optimization Algorithm to Estimate Parameters in Single-Phase Transformers Considering Voltage and Current Measures |
| title_sort | application of the hurricane optimization algorithm to estimate parameters in single phase transformers considering voltage and current measures |
| topic | hurricane optimization algorithm parametric estimation single-phase transformers minimization of mean square error nonlinear programming model voltage |
| url | https://www.mdpi.com/2073-431X/11/4/55 |
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