Annual Operating Costs Minimization in Electrical Distribution Networks via the Optimal Selection and Location of Fixed-Step Capacitor Banks Using a Hybrid Mathematical Formulation
The minimization of annual operating costs in radial distribution networks with the optimal selection and siting of fixed-step capacitor banks is addressed in this research by means of a two-stage optimization approach. The first stage proposes an approximated mixed-integer quadratic model to select...
- Autores:
-
Montoya, Oscar Danilo
Moya, Francisco David
Rajagopalan, Arul
- Tipo de recurso:
- Fecha de publicación:
- 2022
- Institución:
- Universidad Tecnológica de Bolívar
- Repositorio:
- Repositorio Institucional UTB
- Idioma:
- eng
- OAI Identifier:
- oai:repositorio.utb.edu.co:20.500.12585/12267
- Acceso en línea:
- https://hdl.handle.net/20.500.12585/12267
- Palabra clave:
- Radial Distribution;
Capacitors;
Distribution System
- Rights
- openAccess
- License
- http://creativecommons.org/licenses/by-nc-nd/4.0/
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Annual Operating Costs Minimization in Electrical Distribution Networks via the Optimal Selection and Location of Fixed-Step Capacitor Banks Using a Hybrid Mathematical Formulation |
| title |
Annual Operating Costs Minimization in Electrical Distribution Networks via the Optimal Selection and Location of Fixed-Step Capacitor Banks Using a Hybrid Mathematical Formulation |
| spellingShingle |
Annual Operating Costs Minimization in Electrical Distribution Networks via the Optimal Selection and Location of Fixed-Step Capacitor Banks Using a Hybrid Mathematical Formulation Radial Distribution; Capacitors; Distribution System |
| title_short |
Annual Operating Costs Minimization in Electrical Distribution Networks via the Optimal Selection and Location of Fixed-Step Capacitor Banks Using a Hybrid Mathematical Formulation |
| title_full |
Annual Operating Costs Minimization in Electrical Distribution Networks via the Optimal Selection and Location of Fixed-Step Capacitor Banks Using a Hybrid Mathematical Formulation |
| title_fullStr |
Annual Operating Costs Minimization in Electrical Distribution Networks via the Optimal Selection and Location of Fixed-Step Capacitor Banks Using a Hybrid Mathematical Formulation |
| title_full_unstemmed |
Annual Operating Costs Minimization in Electrical Distribution Networks via the Optimal Selection and Location of Fixed-Step Capacitor Banks Using a Hybrid Mathematical Formulation |
| title_sort |
Annual Operating Costs Minimization in Electrical Distribution Networks via the Optimal Selection and Location of Fixed-Step Capacitor Banks Using a Hybrid Mathematical Formulation |
| dc.creator.fl_str_mv |
Montoya, Oscar Danilo Moya, Francisco David Rajagopalan, Arul |
| dc.contributor.author.none.fl_str_mv |
Montoya, Oscar Danilo Moya, Francisco David Rajagopalan, Arul |
| dc.subject.keywords.spa.fl_str_mv |
Radial Distribution; Capacitors; Distribution System |
| topic |
Radial Distribution; Capacitors; Distribution System |
| description |
The minimization of annual operating costs in radial distribution networks with the optimal selection and siting of fixed-step capacitor banks is addressed in this research by means of a two-stage optimization approach. The first stage proposes an approximated mixed-integer quadratic model to select the nodes where the capacitor banks must be installed. In the second stage, a recursive power flow method is employed to make an exhaustive evaluation of the solution space. The main contribution of this research is the use of the expected load curve to estimate the equivalent annual grid operating costs. Numerical simulations in the IEEE 33-and IEEE 69-bus systems demonstrate the effectiveness of the proposed methodology in comparison with the solution of the exact optimization model in the General Algebraic Modeling System software. Reductions of 33.04% and 34.29% with respect to the benchmark case are obtained with the proposed two-stage approach, with minimum investments in capacitor banks. All numerical implementations are performed in the MATLAB software using the convex tool known as CVX and the Gurobi solver. The main advantage of the proposed hybrid optimization method lies in the possibility of dealing with radial and meshed distribution system topologies without any modification on the MIQC model and the recursive power flow approach. © 2022 by the authors. Licensee MDPI, Basel, Switzerland. |
| publishDate |
2022 |
| dc.date.issued.none.fl_str_mv |
2022 |
| dc.date.accessioned.none.fl_str_mv |
2023-07-21T15:36:26Z |
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2023-07-21T15:36:26Z |
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2023 |
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info:eu-repo/semantics/draft |
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Montoya, O.D.; Moya, F.D.; Rajagopalan, A. Annual Operating Costs Minimization in Electrical Distribution Networks via the Optimal Selection and Location of Fixed-Step Capacitor Banks Using a Hybrid Mathematical Formulation. Mathematics 2022, 10, 1600. https://doi.org/10.3390/math10091600 |
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https://hdl.handle.net/20.500.12585/12267 |
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10.3390/math10091600 |
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Universidad Tecnológica de Bolívar |
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Repositorio Universidad Tecnológica de Bolívar |
| identifier_str_mv |
Montoya, O.D.; Moya, F.D.; Rajagopalan, A. Annual Operating Costs Minimization in Electrical Distribution Networks via the Optimal Selection and Location of Fixed-Step Capacitor Banks Using a Hybrid Mathematical Formulation. Mathematics 2022, 10, 1600. https://doi.org/10.3390/math10091600 10.3390/math10091600 Universidad Tecnológica de Bolívar Repositorio Universidad Tecnológica de Bolívar |
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https://hdl.handle.net/20.500.12585/12267 |
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eng |
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eng |
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Montoya, Oscar Danilo8a59ede1-6a4a-4d2e-abdc-d0afb14d4480Moya, Francisco David096b5df2-93da-46ad-ac99-025502e8f56bRajagopalan, Arul6d04d6b3-17a1-49be-a90b-6ea66be6d1c62023-07-21T15:36:26Z2023-07-21T15:36:26Z20222023Montoya, O.D.; Moya, F.D.; Rajagopalan, A. Annual Operating Costs Minimization in Electrical Distribution Networks via the Optimal Selection and Location of Fixed-Step Capacitor Banks Using a Hybrid Mathematical Formulation. Mathematics 2022, 10, 1600. https://doi.org/10.3390/math10091600https://hdl.handle.net/20.500.12585/1226710.3390/math10091600Universidad Tecnológica de BolívarRepositorio Universidad Tecnológica de BolívarThe minimization of annual operating costs in radial distribution networks with the optimal selection and siting of fixed-step capacitor banks is addressed in this research by means of a two-stage optimization approach. The first stage proposes an approximated mixed-integer quadratic model to select the nodes where the capacitor banks must be installed. In the second stage, a recursive power flow method is employed to make an exhaustive evaluation of the solution space. The main contribution of this research is the use of the expected load curve to estimate the equivalent annual grid operating costs. Numerical simulations in the IEEE 33-and IEEE 69-bus systems demonstrate the effectiveness of the proposed methodology in comparison with the solution of the exact optimization model in the General Algebraic Modeling System software. Reductions of 33.04% and 34.29% with respect to the benchmark case are obtained with the proposed two-stage approach, with minimum investments in capacitor banks. All numerical implementations are performed in the MATLAB software using the convex tool known as CVX and the Gurobi solver. The main advantage of the proposed hybrid optimization method lies in the possibility of dealing with radial and meshed distribution system topologies without any modification on the MIQC model and the recursive power flow approach. © 2022 by the authors. Licensee MDPI, Basel, Switzerland.14 páginasapplication/pdfenghttp://creativecommons.org/licenses/by-nc-nd/4.0/info:eu-repo/semantics/openAccessAttribution-NonCommercial-NoDerivatives 4.0 Internacionalhttp://purl.org/coar/access_right/c_abf2MathematicsAnnual Operating Costs Minimization in Electrical Distribution Networks via the Optimal Selection and Location of Fixed-Step Capacitor Banks Using a Hybrid Mathematical Formulationinfo:eu-repo/semantics/articleinfo:eu-repo/semantics/drafthttp://purl.org/coar/resource_type/c_6501http://purl.org/coar/version/c_b1a7d7d4d402bccehttp://purl.org/coar/resource_type/c_2df8fbb1Radial Distribution;Capacitors;Distribution SystemCartagena de IndiasMillar, R.J., Hyvärinen, M., Lehtonen, M., Hämäläinen, P. Urban distribution networks - Some general planning observations (2009) IET Conference Publications, (550 CP). Cited 9 times. ISBN: 978-184919126-5 doi: 10.1049/cp.2009.0646Pana, A., Baloi, A., Molnar-Matei, F. From the balancing reactive compensator to the balancing capacitive compensator (2018) Energies, 11 (8), art. no. 1979. Cited 9 times. http://www.mdpi.com/1996-1073/11/8/1979/pdf doi: 10.3390/en11081979Qing, K., Huang, Q., Du, Y. Integrated Optimal Planning of Distribution Network With Geographical-Zone-Restricted Renewable Energy Sources (2022) Frontiers in Energy Research, 10, art. no. 864914. http://www.frontiersin.org/Energy_Research/ doi: 10.3389/fenrg.2022.864914Lavorato, M., Franco, J.F., Rider, M.J., Romero, R. Imposing radiality constraints in distribution system optimization problems (Open Access) (2012) IEEE Transactions on Power Systems, 27 (1), art. no. 5982115, pp. 172-180. Cited 409 times. doi: 10.1109/TPWRS.2011.2161349Celli, G., Pilo, F., Pisano, G., Allegranza, V., Cicoria, R., Iaria, A. Meshed vs. radial MV distribution network in presence of large amount of DG (2004) 2004 IEEE PES Power Systems Conference and Exposition, 2, pp. 709-714. Cited 104 times. ISBN: 078038718XEl-Fergany, A.A., Abdelaziz, A.Y. Reactive power compensation in distribution networks using cuckoo search algorithm (2014) International Journal of Bio-Inspired Computation, 6 (4), pp. 230-238. Cited 4 times. http://www.inderscience.com/ijbic doi: 10.1504/IJBIC.2014.064989Xu, G., Zhang, B., Yang, L., Wang, Y. Active and reactive power collaborative optimization for active distribution networks considering bi‐directional v2g behavior (Open Access) (2021) Sustainability (Switzerland), 13 (11), art. no. 6489. Cited 5 times. https://www.mdpi.com/2071-1050/13/11/6489/pdf doi: 10.3390/su13116489Valencia, A., Hincapie, R.A., Gallego, R.A. Optimal location, selection, and operation of battery energy storage systems and renewable distributed generation in medium–low voltage distribution networks (2021) Journal of Energy Storage, 34, art. no. 102158. Cited 60 times. http://www.journals.elsevier.com/journal-of-energy-storage/ doi: 10.1016/j.est.2020.102158Home-Ortiz, J.M., Pourakbari-Kasmaei, M., Lehtonen, M., Sanches Mantovani, J.R. Optimal location-allocation of storage devices and renewable-based DG in distribution systems (Open Access) (2019) Electric Power Systems Research, 172, pp. 11-21. Cited 88 times. doi: 10.1016/j.epsr.2019.02.013Iweh, C.D., Gyamfi, S., Tanyi, E., Effah-Donyina, E. Distributed generation and renewable energy integration into the grid: Prerequisites, push factors, practical options, issues and merits (Open Access) (2021) Energies, 14 (17), art. no. 5375. Cited 36 times. https://www.mdpi.com/1996-1073/14/17/5375/pdf doi: 10.3390/en14175375Bocean, C.G., Vărzaru, A.A., Al-Floarei, A.T., Dumitriu, S., Diaconescu, D.L., Barbu, M.C.R. 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On the numerical analysis based on successive approximations for power flow problems in AC distribution systems (2020) Electric Power Systems Research, 187, art. no. 106454. Cited 39 times. https://www.journals.elsevier.com/electric-power-systems-research doi: 10.1016/j.epsr.2020.106454Shen, T., Li, Y., Xiang, J. A graph-based power flow method for balanced distribution systems (Open Access) (2018) Energies, 11 (3), art. no. 511. Cited 58 times. http://www.mdpi.com/journal/energies/ doi: 10.3390/en11030511Montoya, O.D., Alvarado-Barrios, L., Hernández, J.C. An approximate mixed-integer convex model to reduce annual operating costs in radial distribution networks using STATCOMs (Open Access) (2021) Electronics (Switzerland), 10 (24), art. no. 3102. Cited 6 times. https://www.mdpi.com/2079-9292/10/24/3102/pdf doi: 10.3390/electronics10243102Vai, V., Suk, S., Lorm, R., Chhlonh, C., Eng, S., Bun, L. 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