DOI:

https://doi.org/10.14483/23448393.19303

Published:

2022-08-12

Issue:

Vol. 27 No. 3 (2022): September-December

Section:

Electrical and Electronic Engineering

Selección óptima de conductores en redes de distribución trifásicas utilizando el algoritmo metaheurístico de Newton

Optimal Selection of Conductors in Three-Phase Distribution Networks using the Newton Metaheuristic Algorithm

Authors

  • Daniel Julián Nivia Torres Universidad Distrital Francisco José de Caldas
  • Guillermo Alejandro Salazar Alarcón estudiante
  • Oscar Danilo Montoya Giraldo Universidad Distrital Francisco José de Caldas https://orcid.org/0000-0001-6051-4925

Keywords:

Algoritmo metaheurístico de Newton, redes de distribución trifásicas, sistemas eléctricos desbalanceados, flujo de potencia trifásico, selección óptima de conductores, optimización combinatorial (es).

Keywords:

Newton’s metaheuristic algorithm, three-phase distribution networks, unbalanced electrical systems, three-phase power flow, optimal selection of conductors, combinatorial optimization (en).

Abstract (es)

Contexto: El crecimiento acelerado de las ciudades y áreas rurales requiere de la adecuada expansión del sistema eléctrico de distribución para atender de manera eficiente, confiable y segura los requerimientos de energía eléctrica de usuarios comerciales, residenciales e industriales. Para atender a los diferentes usuarios de la red eléctrica, una metodología típica empleada por los operadores de red corresponde a la asignación óptima de los calibres de los conductores asociados a las rutas de distribución, teniendo en cuenta su costo de inversión y operación para un horizonte de planeación determinando.

Método: Para resolver el problema de selección optima en redes de distribución trifásicas, se propone la aplicación de un algoritmo de optimización de la familia de las técnicas combinatoriales conocido como algoritmo metaheurístico de Newton (AMN). La principal ventaja del AMN es que emplea reglas de evolución basadas en la primera y segunda derivadas de la función objetivo, las cuales se aplican a cada individuo de la población. Además, las reglas de evolución del AMN hacen que este algoritmo tenga un balance adecuando entre la exploración y la explotación del espacio de soluciones a medida que avanza proceso iterativo.

Resultados: Validaciones numéricas en dos sistemas de distribución trifásicos compuestos de 8 y 27 nodos con escenarios de operación balanceada y desbalanceada demuestran que el AMN alcanza la solución óptima reportada en la literatura para el sistema de 8 nodos y mejora los reportes científicos para el sistema de prueba de 27 nodos en ambos escenarios de prueba.

Conclusiones: Los resultados obtenidos mediante la aplicación del AMN al problema de selección optima de conductores en sistemas de distribución demuestran la eficacia de la metodología de solución propuesta para problemas de programación no lineal entera mixta en ingeniería eléctrica con tamaños exponenciales del espacio de soluciones. Además, los resultados reportados para los sistemas de prueba de 8 y 27 nodos constituyen un punto de referencia para futuras investigaciones.

Abstract (en)

Context: The accelerated growth of cities and rural areas requires the adequate expansion of electrical distribution systems in order to meet the electrical energy requirements with efficiency, reliability, and safety for commercial, residential, and industrial users. To serve the different users of the electrical network, a typical methodology used by network operators corresponds to the optimal assignment of the calibers of the conductors associated with the distribution routes. This selection is made while considering its cost of investment and operation for a determined planning horizon.

Method: To solve the problem regarding optimal selection in three-phase distribution networks, the application of an optimization algorithm of the family of combinatorial techniques known as Newton’s metaheuristic algorithm (NMA) is proposed. The main advantage of the NMA is that it uses evolution rules based on the first and second derivatives of the objective function, which are applied to each individual in the population. In addition, the evolution rules of the NMA cause this algorithm to have a proper balance between the exploration and exploitation of the solution space as the iterative process advances.

Results: Numerical validations in two three-phase distribution systems composed of 8 and 27 nodes with balanced and unbalanced operation scenarios show that the NMA reaches the optimal solution reported in the literature for the 8-node system and improves the scientific reports for the 27-node test system in both test scenarios.

Conclusions: The results obtained through the application of the NMA to the problem regarding the optimal selection of conductors in distribution systems demonstrate the effectiveness of the proposed solution methodology for mixed integer nonlinear programming problems in electrical engineering with exponential sizes of the solution space. Furthermore, the reported results for the 8-node and 27-node test systems constitute a benchmark for further research.

References

S. A. A. Kazmi, M. K. Shahzad, A. Z. Khan, and D. R. Shin, “Smart Distribution Networks: A Review of

Modern Distribution Concepts from a Planning Perspective,” Energies, vol. 10, p. 501, apr 2017.

D.-A. Ramirez, A. Garces, and J.-J. Mora-Fl ´ orez, “A Convex Approximation for the Tertiary Control of Unbalanced Microgrids,” Electric Power Systems Research, vol. 199, p. 107423, oct 2021.

A. Garces, “A Linear Three-Phase Load Flow for Power Distribution Systems,” IEEE Transactions on Power Systems, vol. 31, pp. 827–828, jan 2016.

C. Acosta, R. A. Hincapie, M. Granada, A. H. Escobar, and R. A. Gallego, “An Efficient Three Phase Four Wire ´

Radial Power Flow Including Neutral-Earth Effect,” Journal of Control, Automation and Electrical Systems,

vol. 24, pp. 690–701, may 2013.

G. Bakkabulindi, M. R. Hesamzadeh, M. Amelin, and I. P. D. Silva, “Models for conductor size selection in

single wire earth return distribution networks,” in 2013 Africon, IEEE, sep 2013.

M. A. Farrag, A. H. Khalil, and S. Omran, “Optimal conductor selection and capacitor placement in radial distribution system using nonlinear AC load flow equations and dynamic load model,” International Transactions

on Electrical Energy Systems, vol. 30, feb 2020.

S. M. Ismael, S. H. E. A. Aleem, and A. Y. Abdelaziz, “Optimal selection of conductors in Egyptian radial

distribution systems using sine-cosine optimization algorithm,” in 2017 Nineteenth International Middle East

Power Systems Conference (MEPCON), IEEE, dec 2017.

J. F. Mart´ınez-Gil, N. A. Moyano-Garc´ıa, O. D. Montoya, and J. A. Alarcon-Villamil, “Optimal Selection of

Conductors in Three-Phase Distribution Networks Using a Discrete Version of the Vortex Search Algorithm,”

Computation, vol. 9, p. 80, jul 2021.

O. D. Montoya, A. Garces, and C. A. Castro, “Optimal Conductor Size Selection in Radial Distribution Networks

Using a Mixed-Integer Non-Linear Programming Formulation,” IEEE Latin America Transactions, vol. 16,

pp. 2213–2220, aug 2018.

I. Osman, M. A. Rahman, A. R. Mahbub, and A. Haque, “Benefits of optimal size conductor in transmission

system,” in 2014 International Conference on Advances in Electrical Engineering (ICAEE), IEEE, jan 2014.

O. D. Montoya, A. Grajales, and R. A. Hincapie, “Selecci ´ on´ optima de conductores en sistemas de distribuci ´ on´

empleando el algoritmo busqueda tab ´ u,” ´ Ingeniare. Revista chilena de ingenier´ıa, vol. 26, pp. 283–295, jun

H. Falaghi, M. Ramezani, M.-R. Haghifam, and K. Milani, “Optimal selection of conductors in radial distribution

systems with time varying load,” in 18th International Conference and Exhibition on Electricity Distribution

(CIRED 2005), IEE, 2005.

S. Gholizadeh, M. Danesh, and C. Gheyratmand, “A new Newton metaheuristic algorithm for discrete

performance-based design optimization of steel moment frames,” Computers & Structures, vol. 234, p. 106250,

jul 2020.

M. R. Raju, K. V. S. R. Murthy, K. Ravindra, and R. S. Rao, “Optimal conductor selection for agricultural

distribution system - a case study,” in 2010 International Conference on Intelligent and Advanced Systems,

IEEE, jun 2010.

D. Joshi, S. Burada, and K. D. Mistry, “Distribution system planning with optimal conductor selection,” in 2017

Recent Developments in Control, Automation & Power Engineering (RDCAPE), IEEE, oct 2017.

S. Manikandan, S. Sasitharan, J. V. Rao, and V. Moorthy, “Analysis of optimal conductor selection for radial

distribution systems using DPSO,” in 2016 3rd International Conference on Electrical Energy Systems (ICEES), IEEE, mar 2016.

P. Samal, S. Mohanty, and S. Ganguly, “Simultaneous capacitor allocation and conductor sizing in unbalanced

radial distribution systems using differential evolution algorithm,” in 2016 National Power Systems Conference

(NPSC), IEEE, dec 2016.

S. M. Ismael, S. H. E. A. Aleem, A. Y. Abdelaziz, and A. F. Zobaa, “Practical Considerations for Optimal

Conductor Reinforcement and Hosting Capacity Enhancement in Radial Distribution Systems,” IEEE Access,

vol. 6, pp. 27268–27277, 2018.

M. Kumari and R.Ranjan, “Economical Selection of Conductor in Radial Distribution System using PSO,”

Journal of The Institution of Engineers (India): Series B, apr 2022.

T. M. Khalil and A. V. Gorpinich, “Optimal conductor selection and capacitor placement for loss reduction of

radial distribution systems by selective particle swarm optimization,” in 2012 Seventh International Conference

on Computer Engineering & Systems (ICCES), IEEE, nov 2012.

R. S. Rao, K. Satish, and S. V. L. Narasimham, “Optimal Conductor Size Selection in Distribution Systems

Using the Harmony Search Algorithm with a Differential Operator,” Electric Power Components and Systems,

vol. 40, pp. 41–56, nov 2011.

M. Thenepalle, “A comparative study on optimal conductor selection for radial distribution network using conventional and genetic algorithm approach,” International Journal of Computer Applications, vol. 17, pp. 6–13,

mar 2011.

M. Legha, H. Javaheri, and M. Legha, “Optimal Conductor Selection in Radial Distribution Systems for Productivity Improvement Using Genetic Algorithm,” Iraqi Journal for Electrical and Electronic Engineering, vol. 9,

pp. 29–35, jun 2013.

A. Y. Abdelaziz and A. Fathy, “A novel approach based on crow search algorithm for optimal selection of

conductor size in radial distribution networks,” Engineering Science and Technology, an International Journal,

vol. 20, pp. 391–402, apr 2017.

M. Lavorato, J. F. Franco, M. J. Rider, and R. Romero, “Imposing Radiality Constraints in Distribution System

Optimization Problems,” IEEE Transactions on Power Systems, vol. 27, pp. 172–180, feb 2012.

O. D. Montoya, J. S. Giraldo, L. F. Grisales-Norena, H. R. Chamorro, and L. Alvarado-Barrios, “Accurate and ˜

Efficient Derivative-Free Three-Phase Power Flow Method for Unbalanced Distribution Networks,” Computation, vol. 9, p. 61, may 2021.

A. Marini, S. Mortazavi, L. Piegari, and M.-S. Ghazizadeh, “An efficient graph-based power flow algorithm

for electrical distribution systems with a comprehensive modeling of distributed generations,” Electric Power

Systems Research, vol. 170, pp. 229–243, may 2019.

P. D. O.-D. Jesus, M. Alvarez, and J. Yusta, “Distribution power flow method based on a real quasi-symmetric

matrix,” Electric Power Systems Research, vol. 95, pp. 148–159, feb 2013.

S. Aras, H. T. Kahraman, and E. Gedkli, “Determination of the Effects of Penalty Coefficient on the Metaheuristic Optimization Process,” in 2018 International Conference on Artificial Intelligence and Data Processing (IDAP), IEEE, sep 2018.

O. D. Montoya, L. F. Grisales-Norena, L. Alvarado-Barrios, A. Arias-Londo ˜ no, and C. ˜ Alvarez-Arroyo, “Effi- ´

cient Reduction in the Annual Investment Costs in AC Distribution Networks via Optimal Integration of Solar

PV Sources Using the Newton Metaheuristic Algorithm,” Applied Sciences, vol. 11, p. 11525, dec 2021.

J. Castilho Neto and A. M. Cossi, “Alocac¸ao de Cabos em Redes de Distribuic¸ ˜ ao de Energia El ˜ etrica de M ´ edia ´

Tensao (MT) Utilizando Algoritmo Chu-Beasley,” ˜ Energ´ıa, pp. 1–6, 2009.

How to Cite

APA

Nivia Torres, D. J., Salazar Alarcón, G. A., & Montoya Giraldo, O. D. (2022). Selección óptima de conductores en redes de distribución trifásicas utilizando el algoritmo metaheurístico de Newton. Ingeniería, 27(3), e19303. https://doi.org/10.14483/23448393.19303

ACM

[1]
Nivia Torres, D.J., Salazar Alarcón, G.A. and Montoya Giraldo, O.D. 2022. Selección óptima de conductores en redes de distribución trifásicas utilizando el algoritmo metaheurístico de Newton. Ingeniería. 27, 3 (Aug. 2022), e19303. DOI:https://doi.org/10.14483/23448393.19303.

ACS

(1)
Nivia Torres, D. J.; Salazar Alarcón, G. A.; Montoya Giraldo, O. D. Selección óptima de conductores en redes de distribución trifásicas utilizando el algoritmo metaheurístico de Newton. Ing. 2022, 27, e19303.

ABNT

NIVIA TORRES, D. J.; SALAZAR ALARCÓN, G. A.; MONTOYA GIRALDO, O. D. Selección óptima de conductores en redes de distribución trifásicas utilizando el algoritmo metaheurístico de Newton. Ingeniería, [S. l.], v. 27, n. 3, p. e19303, 2022. DOI: 10.14483/23448393.19303. Disponível em: https://revistas.udistrital.edu.co/index.php/reving/article/view/19303. Acesso em: 26 sep. 2022.

Chicago

Nivia Torres, Daniel Julián, Guillermo Alejandro Salazar Alarcón, and Oscar Danilo Montoya Giraldo. 2022. “Selección óptima de conductores en redes de distribución trifásicas utilizando el algoritmo metaheurístico de Newton”. Ingeniería 27 (3):e19303. https://doi.org/10.14483/23448393.19303.

Harvard

Nivia Torres, D. J., Salazar Alarcón, G. A. and Montoya Giraldo, O. D. (2022) “Selección óptima de conductores en redes de distribución trifásicas utilizando el algoritmo metaheurístico de Newton”, Ingeniería, 27(3), p. e19303. doi: 10.14483/23448393.19303.

IEEE

[1]
D. J. Nivia Torres, G. A. Salazar Alarcón, and O. D. Montoya Giraldo, “Selección óptima de conductores en redes de distribución trifásicas utilizando el algoritmo metaheurístico de Newton”, Ing., vol. 27, no. 3, p. e19303, Aug. 2022.

MLA

Nivia Torres, D. J., G. A. Salazar Alarcón, and O. D. Montoya Giraldo. “Selección óptima de conductores en redes de distribución trifásicas utilizando el algoritmo metaheurístico de Newton”. Ingeniería, vol. 27, no. 3, Aug. 2022, p. e19303, doi:10.14483/23448393.19303.

Turabian

Nivia Torres, Daniel Julián, Guillermo Alejandro Salazar Alarcón, and Oscar Danilo Montoya Giraldo. “Selección óptima de conductores en redes de distribución trifásicas utilizando el algoritmo metaheurístico de Newton”. Ingeniería 27, no. 3 (August 12, 2022): e19303. Accessed September 26, 2022. https://revistas.udistrital.edu.co/index.php/reving/article/view/19303.

Vancouver

1.
Nivia Torres DJ, Salazar Alarcón GA, Montoya Giraldo OD. Selección óptima de conductores en redes de distribución trifásicas utilizando el algoritmo metaheurístico de Newton. Ing. [Internet]. 2022Aug.12 [cited 2022Sep.26];27(3):e19303. Available from: https://revistas.udistrital.edu.co/index.php/reving/article/view/19303

Download Citation

Visitas

9

Dimensions


PlumX


Downloads

Download data is not yet available.