Método para calcular el grado de fluctuación de la curva de demanda de potencia eléctrica usando dimensión fractal

ilustraciones

Autores:: Tabares Ospina, Hector Anibal

Tipo de recurso:: Doctoral thesis

Fecha de publicación:: 2021

Institución:: Universidad Nacional de Colombia

Repositorio:: Universidad Nacional de Colombia

Idioma:: spa

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dc.title.spa.fl_str_mv	Método para calcular el grado de fluctuación de la curva de demanda de potencia eléctrica usando dimensión fractal
dc.title.translated.none.fl_str_mv	Method to calculate the degree of fluctuation of the electrical power demand curve using fractal dimension
title	Método para calcular el grado de fluctuación de la curva de demanda de potencia eléctrica usando dimensión fractal
spellingShingle	Método para calcular el grado de fluctuación de la curva de demanda de potencia eléctrica usando dimensión fractal 330 - Economía::333 - Economía de la tierra y de la energía 620 - Ingeniería y operaciones afines::629 - Otras ramas de la ingeniería Demanda de energía eléctrica Matemáticas y estadística Algoritmo Geometría fractal Electricidad Mathematics and statistics Algorithm Fractal geometry Electricity
title_short	Método para calcular el grado de fluctuación de la curva de demanda de potencia eléctrica usando dimensión fractal
title_full	Método para calcular el grado de fluctuación de la curva de demanda de potencia eléctrica usando dimensión fractal
title_fullStr	Método para calcular el grado de fluctuación de la curva de demanda de potencia eléctrica usando dimensión fractal
title_full_unstemmed	Método para calcular el grado de fluctuación de la curva de demanda de potencia eléctrica usando dimensión fractal
title_sort	Método para calcular el grado de fluctuación de la curva de demanda de potencia eléctrica usando dimensión fractal
dc.creator.fl_str_mv	Tabares Ospina, Hector Anibal
dc.contributor.advisor.none.fl_str_mv	Angulo García, Fabiola Osorio Lema, Mauricio
dc.contributor.author.none.fl_str_mv	Tabares Ospina, Hector Anibal
dc.subject.ddc.spa.fl_str_mv	330 - Economía::333 - Economía de la tierra y de la energía 620 - Ingeniería y operaciones afines::629 - Otras ramas de la ingeniería
topic	330 - Economía::333 - Economía de la tierra y de la energía 620 - Ingeniería y operaciones afines::629 - Otras ramas de la ingeniería Demanda de energía eléctrica Matemáticas y estadística Algoritmo Geometría fractal Electricidad Mathematics and statistics Algorithm Fractal geometry Electricity
dc.subject.lemb.none.fl_str_mv	Demanda de energía eléctrica
dc.subject.proposal.spa.fl_str_mv	Matemáticas y estadística Algoritmo Geometría fractal Electricidad
dc.subject.proposal.eng.fl_str_mv	Mathematics and statistics Algorithm Fractal geometry Electricity
description	ilustraciones
publishDate	2021
dc.date.accessioned.none.fl_str_mv	2021-07-08T15:33:30Z
dc.date.available.none.fl_str_mv	2021-07-08T15:33:30Z
dc.date.issued.none.fl_str_mv	2021-06-29
dc.type.spa.fl_str_mv	Trabajo de grado - Doctorado
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dc.identifier.instname.spa.fl_str_mv	Universidad Nacional de Colombia
dc.identifier.reponame.spa.fl_str_mv	Repositorio Institucional Universidad Nacional de Colombia
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url	https://repositorio.unal.edu.co/handle/unal/79777 https://repositorio.unal.edu.co/
identifier_str_mv	Universidad Nacional de Colombia Repositorio Institucional Universidad Nacional de Colombia
dc.language.iso.spa.fl_str_mv	spa
language	spa
dc.relation.references.spa.fl_str_mv	[Barnsley et al., 1988] Barnsley, M., Devaney, R., Mandelbrot, B., Peitgen, H., Saupe, D., and Voss, R. (1988). The Science of Fractal Images. H.-O. Peitgen D. Saupe, eds. [Besicovitch, 1929] Besicovitch, A. (1929). On linear sets of points of fractional dimension. Mathematische Annalen, 101:161-193. [Binimelis, 2011] Binimelis, M. (2011). Una nueva manera de ver el mundo. RDA, Barcelona. [Borjon, 2002] Borjon, J. (2002). Caos, Orden Y Desorden En El Sistema Monetario Y Financiero Internacional. ed. Y. Valdes., New York. [Cantor, 1884] Cantor, C. (1884). On the power of perfect set of points. Acta Mathematica, 4:381-392. [Cayley, 1879] Cayley, A. (1879). The newton{fourier imaginary problem. The Newton-Fourier Imaginary Problem, 2:97. [Chapra and Canale, 2006] Chapra, S. and Canale, R. (2006). Numerical methods for engineers. The McGraw-Hill Companies, México. [Chen and Huang, 2019] Chen, L. and Huang, Y. (2019). Modeling growth curve of fractal dimension of urban form of beijing. Physica A., 523:1038-1056. [Coloner et al., 2018] Coloner, J., Naranjo, A., Janvier, V., and Mossi, T. (2018). Evaluation of fractal dimension e ectiveness for damage detection in retinal background. J. Comput. Appl. Math., 337:341-353. [Cui and Yng, 2009] Cui, H. and Yng, L. (2009). Short-term electricity price forecast based on improved fractal theory. Technical report, International Conference on Computer Engineering and Technology. [Dandan et al., 2017] Dandan, Y., Meifeng, D., Yu, S., and Weiyi, S. (2017). Average weighted receiving time on the non-homogeneous double-weighted fractal networks. Phys. A Stat. Mech. Its Appl, 473:390-402. [Davis and Baylis, 1995] Davis, M. and Baylis, J. (1995). The nature and power of mathematics.The Mathematical Gazette, 2:79. [Devaney, 1990] Devaney, R. (1990). Chaos, fractals, and dynamics: Computer experiments in modern mathematics. Addison-Wesley, ed., Massachusetts. [Fatou, 1920] Fatou, P. (1920). Sur les equations fonctionelles. Bull. Sci. Math, France, 48:208-314. [Feigenbaum, 1991] Feigenbaum, A. (1991). Total quality control. McGraw-Hill, ed., New York. [Garcia et al., 2018] Garcia, T., Tamura Ozaki, G., Castoldi, R., Koike, T., Trindade Camargo, R., and F., S. C. (2018). Fractal dimension in the evaluation of di erent treatments of muscular injury in rats. Tissue and Cell, 54:120-126. [Gun-Baek et al., 2017] Gun-Baek, S., Hye-Rim, S., and Gang-Gyoo, J. (2017). Enhancement of the box-counting algorithm for fractal dimension estimation. Pattern Recognition Letters, 98:53-58. [Guosheng et al., 2019] Guosheng, F., Weimin, X., Feng, Y., Yi, Y., and Yuan, W. (2019). Surface fractal dimension of bentonite a ected by long-term corrosion in alkaline solution. Appl. Clay Sci., 175:94-101. [Hausdorff, 1919] Hausdorff, F. (1919). Der wertvorrat einer bilinearform. Mathematische Zeitschrift, 3:314-316. [Hernández et al., 2018] Hernández, J., Mejía-Rosales, S., and Gama Goicochea, A. (2018). Fractal properties of biophysical models of pericellular brushes can be used to di erentiate between cancerous and normal cervical epithelial cells. Colloids and Surfaces B: Biointerfaces, 170:572-577. [Hénon, 1976] Hénon, M. (1976). A two-dimensional mapping with a strange attractor. Communications in Mathematical Physics, 50:69-77. [Jelica et al., 2018] Jelica, D., Taljegard, M., Thorson, L., and Johnsson, F. (2018). Hourly electricity demand from an electric road system a swedish case study. Applied Energy, 228:141-148. [Jian. et al., 2009] Jian., QianDu., and CaixinSum. (2009). An improved box-counting method for image fractal dimension estimation. Pattern Recognition, 42:2460-2469. [Jiménez et al., 2019] Jiménez, J., Anzola, A., and Jimenez-Triana, J. (2019). Pedestrian counting estimation based on fractal dimension. 5:1-20. [Jinyan et al., 2017] Jinyan, Y., Yanggrong, L., and Hongyong, C. (2017). Box-counting dimensions and upper semicontinuities of bi-spatial attractors for stochastic degenerate parabolic equations on an unbounded domain. Journal of Mathematical Analysis and Applications, 450:1180-1207. [Julia, 1918] Julia, G. (1918). Memoire sur literacion des fonctions rationelles. J. Math. Pures et App, 8:47-245. [Junfeng et al., 2017] Junfeng, X., Zengyun, J., and Xin, L. (2017). An application of box counting method for measuring phase fraction. Measurement, 100:297-300. [Katok, 1996] Katok, A. andHasselblatt, B. (1996). Introduction to the modern theory of dynamical systems. In Cambridge University Press., Cambridge. [Koch, 1904] Koch, H. (1904). Sur une courbe continue sans tangente, obtenue par une construction g eometrique elementaire. Arkiv For Matematik Astronomi Och Fysik, 1:681- 704. [Kumar and Chaubey, 2012] Kumar, R. and Chaubey, N. (2012). On the design of treetype ultra wideband fractal antenna for ds-cdma system. J. Microwaves, Optoelectron. Electromagn. Appl., 11:107-121. [Lindberg et al., 2019a] Lindberg, K., Bakker, S., and Sartori, I. (2019a). Modelling electric and heat load profiles of non-residential buildings for use in long-term aggregate load forecasts. Utilities Policy, 58:63-88. [Lindberg et al., 2019b] Lindberg, K., Seljom, P., Madsen, H., Fisher, D., and Korpas, M. (2019b). Long-term electricity load forecasting: Current and future trends. Utilities Policy, 58:102-119. [Lorenz, 1963] Lorenz, E. (1963). Deterministic nonperiodic flow. J. Atmos. Sci., 20:130-141. [Losa, 2012] Losa, G. (2012). Fractals and their contribution to biology and medicine. Medicographia, 34:365-374. [Mamun-Ur-Rashid et al., 2017] Mamun-Ur-Rashid, S., Hossain, M., and Parvin, M. (2017). Numerical integration schemes for unequal data spacing. Am. J. Appl. Math., 2:48-56. [Mandelbrot, 1967] Mandelbrot, B. (1967). How long is the coast of britain? Statistical Self-Similarity and Fractional Dimension, 156:636-638. [Mandelbrot and HudsonStrogatz, 2004] Mandelbrot, B. and HudsonStrogatz, R. (2004). Practical Optimization. Ruin and Reward, Profile Books, London. [Martos et al., 2017] Martos, E., Lapuerta, F., Exp osito, M., and Sanmiguel-Rojas, J. (2017). Overestimation of the fractal dimension from projections of soot agglomerates. Powder Technol., 311:528-536. [Mathews and Fink, 2000] Mathews, J. and Fink, K. (2000). Numerical methods using MATLAB. P. HALL, ed., Madrid. [Milicic, 2018] Mili ci c, S. (2018). Box-counting dimensions of generalised fractal nests. Chaos, Solitons and Fractals, 113:125-134. [Moon et al., 2018] Moon, H., Youngjun, P., Jeong, C., and Lee, J. (2018). Forecasting electricity demand of electric vehicles by analyzing consumers charging patterns. Transportation Research Part D, 62:64-79. [Moon et al., 2014] Moon, P., Muday, J., Raynor, S., Schirillo, J., Boydston, C., Fairbanks, M., and Taylor, R. (2014). Fractal images induce fractal pupil dilations and constrictions. International Journal of Psychophysiology, 93(3):316-321. [Motlagh et al., 2019] Motlagh, C., Berry, A., and ONeil, L. (2019). Clustering of residential electricity customers using load time series. Applied Energy, 58:102-119. [Navascu es, 2013] Navascu es, M. (2013). Numerical integration of a ne fractal functions. J. Comput. Appl. Math., 252:169-176. [Pashminehazar et al., 2019] Pashminehazar, E., Kharaghani, R., and Tsotsas, A. (2019). Determination of fractal dimension and prefactor of agglomerates with irregular structure. Powder Technol., 343:765-774. [Poincar e, 1892] Poincar e, H. (1892). Les methodes nouvelles de la mecanique celeste. GAUTHIER-VILLARS ET FILS, Paris. [Popovic et al., 2018] Popovic, N., Radunovic, M., Badnjar, J., and Popovic, T. (2018). Fractal dimension and lacunarity analysis of retinal microvascular morphology in hypertension and diabetes. Microvascular Research, 118:36-43. [Ranjan et al., 2019] Ranjan, S., Mishra, J., and Palai, G. (2019). Analysing roughness of surface through fractal dimension: A review. Image and Vision Computing, 89:21-34. [Rezaee, 2019] Rezaee, A. (2019). Optimisation of demand response in electric power systems, a review. Renewable and Sustainable Energy Reviews, 103:308-319. [Rodriguez et al., 2016] Rodriguez, V., Prieto, B., Correa, H., Soracipa, M., Mendez, P., Bernal, C., Hoyos, O., Valero, A., and Velasco, R. (2016). Nueva metodologia de evaluacion del holter basada en los sistemas dinamicos y la geometria fractal: confirmacion de su aplicabilidad a nivel clínico. Rev. La Univ. Ind. Santander. Salud., 48:27-36. [Salvo and Piacquadio, 2017] Salvo, G. and Piacquadio, M. (2017). Multifractal analysis of electricity demand as a tool for spatial forecasting. Energy for Sustainable Development, 38:67-76. [Sierpinski, 1915] Sierpinski, W. (1915). Sur une courbe dont tout point est un point de ramification. Comptes Rendus, 160:302-305. [Silva and Florindo, 2019] Silva, P. and Florindo, J. (2019). A statistical descriptor for texture images based on the box counting fractal dimension. 528:1-13. [Soumya et al., 2018] Soumya, N., Jibitesh, M., Asimanada, K., and Gopinath, P. (2018). Fractal dimension of rgb color images. Elsevier-Optik, 162:196-205. [Strogatz, 2018] Strogatz, S. (2018). Nonlinear Dynamics and Chaos. Perseus Books Publisher, New York. [Swain et al., 2019] Swain, R., Roy, S., Mukherjee, P., and Sawkar, B. (2019). Fractal dimension and its translation into a model of gold spatial proxy. Ore Geol. Rev., 110:1-10. [Tabares-Ospina et al., 2020a] Tabares-Ospina, H., Angulo, F., and Osorio, M. (2020a). New method to calculate the energy and fractal dimension of the daily electrical load. Fractals, 28:2050135 (12 pages). [Tabares-Ospina et al., 2020b] Tabares-Ospina, H., Angulo, F., and Osorio, M. (2020b). A new methodology to analyze the dynamic of daily power demand with attractors into the mandelbrot set. Fractals, 28:2050003 (9 pages). [Tabares-Ospina et al., 2019] Tabares-Ospina, H., Candelo-Becerra, J., and Hoyos-Velasco, F. (2019). Fractal representation of the power demand based on topological properties of julia sets. Int. J. Electr. Comput. Eng., 4:31-38. [Tabares-Ospina and Osorio, 2020a] Tabares-Ospina, H. and Osorio, M. (2020a). Characterization of the resistive and inductive loads of an energy distribution systems with julia fractal sets. Fractals, 28:2050082 (9 pages). [Tabares-Ospina and Osorio, 2020b] Tabares-Ospina, H. and Osorio, M. (2020b). Methodology for the characterization of the electrical power demand curve, by means of fractal orbit diagrams on the complex plane of mandelbrot set. Discrete and Continuous Dynamical Systems Series B, 25:1895-1905. [Tabares-Ospina and Osorio, 2021] Tabares-Ospina, H. and Osorio, M. (2021). Algorithm to calculate the fractal dimension and numerical integration of fluctuating continuous functions. Fractals, tal:X-Y. [Wem et al., 2019] Wem, L., Zhou, K., and Yang, S. (2019). A shape-based clustering method for pattern recognition of residential electricity consumption. Journal of Cleaner Production, 212:475-488. [Willis, 2002] Willis, H. (2002). Spatial Electric Load Forecasting. M. Dekker, ed., New York. [Yang et al., 2019] Yang, F., Zhang, X., Ma, R., Yang, S., and Wand, X. (2019). Fractal dimension of concrete meso-structure based on x-ray computed tomography. Powder Technol., 350:91-99. [Yilmaz et al., 2019] Yilmaz, S., Chambers, J., and Patel, M. (2019). Comparison of clustering approaches for domestic electricity load profile characterisation - implications for demand side management. Energy, 180:665-677. [Yongfu, 2018] Yongfu, X. (2018). Fractal dimension of demolition waste fragmentation and its implication of compactness. Powder Technol., 339:922-929. [Yuan-jia and Ming-Yue, 2018] Yuan-jia, M. and Ming-Yue, Z. (2018). Fractal and multifractal features of the broadband power line communication signals. Comput. Electr. Eng, 72:566-576. [Zaletel et al., 2015] Zaletel, I., Ristanovic, D., Stefanovic, B., and Puska s, N. (2015). Modified richardsons method versus the box-counting method in neuroscience. Journal of Neuroscience Methods, 242:93-96. [Zhai, 2015] Zhai, M. (2015). A new method for short-term load forecasting based on fractal interpretation and wavelet analysis. International Journal of Electrical Power Energy Systems, 69:241-245. [Zhao et al., 2016] Zhao, Z., Zhu, J., and Xia, B. (2016). Multi-fractal fluctuation features of thermal power coal price in china. Energy, 117:10-18.
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dc.rights.license.spa.fl_str_mv	Atribución-NoComercial-SinDerivadas 4.0 Internacional
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rights_invalid_str_mv	Atribución-NoComercial-SinDerivadas 4.0 Internacional http://creativecommons.org/licenses/by-nc-nd/4.0/ http://purl.org/coar/access_right/c_abf2
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dc.format.extent.spa.fl_str_mv	228 páginas
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dc.publisher.spa.fl_str_mv	Universidad Nacional de Colombia
dc.publisher.program.spa.fl_str_mv	Medellín - Minas - Doctorado en Ingeniería - Sistemas Energéticos
dc.publisher.department.spa.fl_str_mv	Departamento de Ingeniería Eléctrica y Automática
dc.publisher.faculty.spa.fl_str_mv	Facultad de Minas
dc.publisher.place.spa.fl_str_mv	Medellín
dc.publisher.branch.spa.fl_str_mv	Universidad Nacional de Colombia - Sede Medellín
institution	Universidad Nacional de Colombia
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spelling	Atribución-NoComercial-SinDerivadas 4.0 Internacionalhttp://creativecommons.org/licenses/by-nc-nd/4.0/info:eu-repo/semantics/openAccesshttp://purl.org/coar/access_right/c_abf2Angulo García, Fabiola9e4d9c46dee9e78d1da68d9c5911bab0600Osorio Lema, Mauricio355a756122a84b157a0cbfd11f73fe36600Tabares Ospina, Hector Anibal1c6f7027dc517c9ba7078b740ba0307e6002021-07-08T15:33:30Z2021-07-08T15:33:30Z2021-06-29https://repositorio.unal.edu.co/handle/unal/79777Universidad Nacional de ColombiaRepositorio Institucional Universidad Nacional de Colombiahttps://repositorio.unal.edu.co/ilustracionesEl objeto de estudio en esta tesis doctoral es la geometría fractal no lineal, que despierta el interés por su patrón gráfico fractal de formación. No obstante, la topología de los conjuntos resultantes son meras curiosidades matemáticas sin ninguna utilidad. Por lo tanto, en la primera parte de esta tesis se propone su acople con la potencia eléctrica en circuitos de corriente alterna, gracias a que ambos están defi nidos en el campo complejo. El acople resulta útil para comprobar que la potencia eléctrica alterna (resistiva, inductiva o capacitiva), también puede ser descrita mediante conjuntos fractales de Julia. Así mismo, se comprueba que las curvas de demanda de potencia eléctrica también pueden ser descritas mediante diagramas de órbitas y atractores en el plano complejo del conjunto de Mandelbrot. En la segunda parte de esta tesis, el concepto de dimensión fractal es usado para medir el grado de variación o fluctuación de las curvas demanda de potencia eléctrica. Se trata de una nueva unidad de medida con la que se caracteriza la variabilidad de la carga eléctrica, que complementa los estudios de carga en una red de distribución de potencia eléctrica. La tercera y última parte de esta tesis, versa sobre el desarrollo e implementación de un algoritmo para calcular la dimensión fractal e integración numérica de una función continua fluctuante. Las tres partes de la tesis están relacionados entre sí y con su aplicación en la ingeniería eléctrica. (Tomado de la fuente)The object of study in this doctoral thesis is nonlinear fractal geometry, which arouses interest due to its fractal graphic pattern of formation. However, the topology of the resulting sets are mere mathematical curiosities without any use. Therefore, in the rst part of this thesis, its coupling with electrical power in alternating current circuits is proposed, thanks to the fact that both are de fined in the complex field. The coupling is useful to verify that the alternating electrical power (resistive, inductive or capacitive), can also be described by means of Julia fractal sets. Likewise, it is found that the electrical power demand curves can also be described by means of orbits and attractors diagrams in the complex plane of the Mandelbrot set. In the second part of this thesis, the concept of fractal dimension is used to measure the degree of variation or fluctuation of the electrical power demand curves. It is a new unit of measurement with which the variability of the electrical load is characterized, which complements the load studies in an electrical power distribution network. In the third and last part of this thesis deals with the development and implementation of an algorithm to calculate the fractal dimension and numerical integration of a fluctuating continuous function. The three parts of the thesis are related to each other and to its application in electrical engineering. (Tomado de la fuente)DoctoradoDoctor en IngenieríaAnálisis de fenómenos no lineales228 páginasapplication/pdfspaUniversidad Nacional de ColombiaMedellín - Minas - Doctorado en Ingeniería - Sistemas EnergéticosDepartamento de Ingeniería Eléctrica y AutomáticaFacultad de MinasMedellínUniversidad Nacional de Colombia - Sede Medellín330 - Economía::333 - Economía de la tierra y de la energía620 - Ingeniería y operaciones afines::629 - Otras ramas de la ingenieríaDemanda de energía eléctricaMatemáticas y estadísticaAlgoritmoGeometría fractalElectricidadMathematics and statisticsAlgorithmFractal geometryElectricityMétodo para calcular el grado de fluctuación de la curva de demanda de potencia eléctrica usando dimensión fractalMethod to calculate the degree of fluctuation of the electrical power demand curve using fractal dimensionTrabajo de grado - Doctoradoinfo:eu-repo/semantics/doctoralThesisinfo:eu-repo/semantics/acceptedVersionhttp://purl.org/coar/resource_type/c_db06Texthttp://purl.org/redcol/resource_type/TD[Barnsley et al., 1988] Barnsley, M., Devaney, R., Mandelbrot, B., Peitgen, H., Saupe, D., and Voss, R. (1988). The Science of Fractal Images. H.-O. Peitgen D. Saupe, eds.[Besicovitch, 1929] Besicovitch, A. (1929). On linear sets of points of fractional dimension. Mathematische Annalen, 101:161-193.[Binimelis, 2011] Binimelis, M. (2011). Una nueva manera de ver el mundo. RDA, Barcelona.[Borjon, 2002] Borjon, J. (2002). Caos, Orden Y Desorden En El Sistema Monetario Y Financiero Internacional. ed. Y. Valdes., New York.[Cantor, 1884] Cantor, C. (1884). On the power of perfect set of points. Acta Mathematica, 4:381-392.[Cayley, 1879] Cayley, A. (1879). The newton{fourier imaginary problem. The Newton-Fourier Imaginary Problem, 2:97.[Chapra and Canale, 2006] Chapra, S. and Canale, R. (2006). Numerical methods for engineers. The McGraw-Hill Companies, México.[Chen and Huang, 2019] Chen, L. and Huang, Y. (2019). Modeling growth curve of fractal dimension of urban form of beijing. Physica A., 523:1038-1056.[Coloner et al., 2018] Coloner, J., Naranjo, A., Janvier, V., and Mossi, T. (2018). Evaluation of fractal dimension e ectiveness for damage detection in retinal background. J. Comput. Appl. Math., 337:341-353.[Cui and Yng, 2009] Cui, H. and Yng, L. (2009). Short-term electricity price forecast based on improved fractal theory. Technical report, International Conference on Computer Engineering and Technology.[Dandan et al., 2017] Dandan, Y., Meifeng, D., Yu, S., and Weiyi, S. (2017). Average weighted receiving time on the non-homogeneous double-weighted fractal networks. Phys. A Stat. Mech. Its Appl, 473:390-402.[Davis and Baylis, 1995] Davis, M. and Baylis, J. (1995). The nature and power of mathematics.The Mathematical Gazette, 2:79.[Devaney, 1990] Devaney, R. (1990). Chaos, fractals, and dynamics: Computer experiments in modern mathematics. Addison-Wesley, ed., Massachusetts.[Fatou, 1920] Fatou, P. (1920). Sur les equations fonctionelles. Bull. Sci. Math, France, 48:208-314.[Feigenbaum, 1991] Feigenbaum, A. (1991). Total quality control. McGraw-Hill, ed., New York.[Garcia et al., 2018] Garcia, T., Tamura Ozaki, G., Castoldi, R., Koike, T., Trindade Camargo, R., and F., S. C. (2018). Fractal dimension in the evaluation of di erent treatments of muscular injury in rats. Tissue and Cell, 54:120-126.[Gun-Baek et al., 2017] Gun-Baek, S., Hye-Rim, S., and Gang-Gyoo, J. (2017). Enhancement of the box-counting algorithm for fractal dimension estimation. Pattern Recognition Letters, 98:53-58.[Guosheng et al., 2019] Guosheng, F., Weimin, X., Feng, Y., Yi, Y., and Yuan, W. (2019). Surface fractal dimension of bentonite a ected by long-term corrosion in alkaline solution. Appl. Clay Sci., 175:94-101.[Hausdorff, 1919] Hausdorff, F. (1919). Der wertvorrat einer bilinearform. Mathematische Zeitschrift, 3:314-316.[Hernández et al., 2018] Hernández, J., Mejía-Rosales, S., and Gama Goicochea, A. (2018). Fractal properties of biophysical models of pericellular brushes can be used to di erentiate between cancerous and normal cervical epithelial cells. Colloids and Surfaces B: Biointerfaces, 170:572-577.[Hénon, 1976] Hénon, M. (1976). A two-dimensional mapping with a strange attractor. Communications in Mathematical Physics, 50:69-77.[Jelica et al., 2018] Jelica, D., Taljegard, M., Thorson, L., and Johnsson, F. (2018). Hourly electricity demand from an electric road system a swedish case study. Applied Energy, 228:141-148.[Jian. et al., 2009] Jian., QianDu., and CaixinSum. (2009). An improved box-counting method for image fractal dimension estimation. Pattern Recognition, 42:2460-2469.[Jiménez et al., 2019] Jiménez, J., Anzola, A., and Jimenez-Triana, J. (2019). Pedestrian counting estimation based on fractal dimension. 5:1-20.[Jinyan et al., 2017] Jinyan, Y., Yanggrong, L., and Hongyong, C. (2017). Box-counting dimensions and upper semicontinuities of bi-spatial attractors for stochastic degenerate parabolic equations on an unbounded domain. Journal of Mathematical Analysis and Applications, 450:1180-1207.[Julia, 1918] Julia, G. (1918). Memoire sur literacion des fonctions rationelles. J. Math. Pures et App, 8:47-245.[Junfeng et al., 2017] Junfeng, X., Zengyun, J., and Xin, L. (2017). An application of box counting method for measuring phase fraction. Measurement, 100:297-300.[Katok, 1996] Katok, A. andHasselblatt, B. (1996). Introduction to the modern theory of dynamical systems. In Cambridge University Press., Cambridge.[Koch, 1904] Koch, H. (1904). Sur une courbe continue sans tangente, obtenue par une construction g eometrique elementaire. Arkiv For Matematik Astronomi Och Fysik, 1:681- 704.[Kumar and Chaubey, 2012] Kumar, R. and Chaubey, N. (2012). On the design of treetype ultra wideband fractal antenna for ds-cdma system. J. Microwaves, Optoelectron. Electromagn. Appl., 11:107-121.[Lindberg et al., 2019a] Lindberg, K., Bakker, S., and Sartori, I. (2019a). Modelling electric and heat load profiles of non-residential buildings for use in long-term aggregate load forecasts. Utilities Policy, 58:63-88.[Lindberg et al., 2019b] Lindberg, K., Seljom, P., Madsen, H., Fisher, D., and Korpas, M. (2019b). Long-term electricity load forecasting: Current and future trends. Utilities Policy, 58:102-119.[Lorenz, 1963] Lorenz, E. (1963). Deterministic nonperiodic flow. J. Atmos. Sci., 20:130-141.[Losa, 2012] Losa, G. (2012). Fractals and their contribution to biology and medicine. Medicographia, 34:365-374.[Mamun-Ur-Rashid et al., 2017] Mamun-Ur-Rashid, S., Hossain, M., and Parvin, M. (2017). Numerical integration schemes for unequal data spacing. Am. J. Appl. Math., 2:48-56.[Mandelbrot, 1967] Mandelbrot, B. (1967). How long is the coast of britain? Statistical Self-Similarity and Fractional Dimension, 156:636-638.[Mandelbrot and HudsonStrogatz, 2004] Mandelbrot, B. and HudsonStrogatz, R. (2004). Practical Optimization. Ruin and Reward, Profile Books, London.[Martos et al., 2017] Martos, E., Lapuerta, F., Exp osito, M., and Sanmiguel-Rojas, J. (2017). Overestimation of the fractal dimension from projections of soot agglomerates. Powder Technol., 311:528-536.[Mathews and Fink, 2000] Mathews, J. and Fink, K. (2000). Numerical methods using MATLAB. P. HALL, ed., Madrid.[Milicic, 2018] Mili ci c, S. (2018). Box-counting dimensions of generalised fractal nests. Chaos, Solitons and Fractals, 113:125-134.[Moon et al., 2018] Moon, H., Youngjun, P., Jeong, C., and Lee, J. (2018). Forecasting electricity demand of electric vehicles by analyzing consumers charging patterns. Transportation Research Part D, 62:64-79.[Moon et al., 2014] Moon, P., Muday, J., Raynor, S., Schirillo, J., Boydston, C., Fairbanks, M., and Taylor, R. (2014). Fractal images induce fractal pupil dilations and constrictions. International Journal of Psychophysiology, 93(3):316-321.[Motlagh et al., 2019] Motlagh, C., Berry, A., and ONeil, L. (2019). Clustering of residential electricity customers using load time series. Applied Energy, 58:102-119.[Navascu es, 2013] Navascu es, M. (2013). Numerical integration of a ne fractal functions. J. Comput. Appl. Math., 252:169-176.[Pashminehazar et al., 2019] Pashminehazar, E., Kharaghani, R., and Tsotsas, A. (2019). Determination of fractal dimension and prefactor of agglomerates with irregular structure. Powder Technol., 343:765-774.[Poincar e, 1892] Poincar e, H. (1892). Les methodes nouvelles de la mecanique celeste. GAUTHIER-VILLARS ET FILS, Paris.[Popovic et al., 2018] Popovic, N., Radunovic, M., Badnjar, J., and Popovic, T. (2018). Fractal dimension and lacunarity analysis of retinal microvascular morphology in hypertension and diabetes. Microvascular Research, 118:36-43.[Ranjan et al., 2019] Ranjan, S., Mishra, J., and Palai, G. (2019). Analysing roughness of surface through fractal dimension: A review. Image and Vision Computing, 89:21-34.[Rezaee, 2019] Rezaee, A. (2019). Optimisation of demand response in electric power systems, a review. Renewable and Sustainable Energy Reviews, 103:308-319.[Rodriguez et al., 2016] Rodriguez, V., Prieto, B., Correa, H., Soracipa, M., Mendez, P., Bernal, C., Hoyos, O., Valero, A., and Velasco, R. (2016). Nueva metodologia de evaluacion del holter basada en los sistemas dinamicos y la geometria fractal: confirmacion de su aplicabilidad a nivel clínico. Rev. La Univ. Ind. Santander. Salud., 48:27-36.[Salvo and Piacquadio, 2017] Salvo, G. and Piacquadio, M. (2017). Multifractal analysis of electricity demand as a tool for spatial forecasting. Energy for Sustainable Development, 38:67-76.[Sierpinski, 1915] Sierpinski, W. (1915). Sur une courbe dont tout point est un point de ramification. Comptes Rendus, 160:302-305.[Silva and Florindo, 2019] Silva, P. and Florindo, J. (2019). A statistical descriptor for texture images based on the box counting fractal dimension. 528:1-13.[Soumya et al., 2018] Soumya, N., Jibitesh, M., Asimanada, K., and Gopinath, P. (2018). Fractal dimension of rgb color images. Elsevier-Optik, 162:196-205.[Strogatz, 2018] Strogatz, S. (2018). Nonlinear Dynamics and Chaos. Perseus Books Publisher, New York.[Swain et al., 2019] Swain, R., Roy, S., Mukherjee, P., and Sawkar, B. (2019). Fractal dimension and its translation into a model of gold spatial proxy. Ore Geol. Rev., 110:1-10.[Tabares-Ospina et al., 2020a] Tabares-Ospina, H., Angulo, F., and Osorio, M. (2020a). New method to calculate the energy and fractal dimension of the daily electrical load. Fractals, 28:2050135 (12 pages).[Tabares-Ospina et al., 2020b] Tabares-Ospina, H., Angulo, F., and Osorio, M. (2020b). A new methodology to analyze the dynamic of daily power demand with attractors into the mandelbrot set. Fractals, 28:2050003 (9 pages).[Tabares-Ospina et al., 2019] Tabares-Ospina, H., Candelo-Becerra, J., and Hoyos-Velasco, F. (2019). Fractal representation of the power demand based on topological properties of julia sets. Int. J. Electr. Comput. Eng., 4:31-38.[Tabares-Ospina and Osorio, 2020a] Tabares-Ospina, H. and Osorio, M. (2020a). Characterization of the resistive and inductive loads of an energy distribution systems with julia fractal sets. Fractals, 28:2050082 (9 pages).[Tabares-Ospina and Osorio, 2020b] Tabares-Ospina, H. and Osorio, M. (2020b). Methodology for the characterization of the electrical power demand curve, by means of fractal orbit diagrams on the complex plane of mandelbrot set. Discrete and Continuous Dynamical Systems Series B, 25:1895-1905.[Tabares-Ospina and Osorio, 2021] Tabares-Ospina, H. and Osorio, M. (2021). Algorithm to calculate the fractal dimension and numerical integration of fluctuating continuous functions. Fractals, tal:X-Y.[Wem et al., 2019] Wem, L., Zhou, K., and Yang, S. (2019). A shape-based clustering method for pattern recognition of residential electricity consumption. Journal of Cleaner Production, 212:475-488.[Willis, 2002] Willis, H. (2002). Spatial Electric Load Forecasting. M. Dekker, ed., New York.[Yang et al., 2019] Yang, F., Zhang, X., Ma, R., Yang, S., and Wand, X. (2019). Fractal dimension of concrete meso-structure based on x-ray computed tomography. Powder Technol., 350:91-99.[Yilmaz et al., 2019] Yilmaz, S., Chambers, J., and Patel, M. (2019). Comparison of clustering approaches for domestic electricity load profile characterisation - implications for demand side management. Energy, 180:665-677.[Yongfu, 2018] Yongfu, X. (2018). Fractal dimension of demolition waste fragmentation and its implication of compactness. Powder Technol., 339:922-929.[Yuan-jia and Ming-Yue, 2018] Yuan-jia, M. and Ming-Yue, Z. (2018). Fractal and multifractal features of the broadband power line communication signals. Comput. Electr. Eng, 72:566-576.[Zaletel et al., 2015] Zaletel, I., Ristanovic, D., Stefanovic, B., and Puska s, N. (2015). Modified richardsons method versus the box-counting method in neuroscience. Journal of Neuroscience Methods, 242:93-96.[Zhai, 2015] Zhai, M. (2015). A new method for short-term load forecasting based on fractal interpretation and wavelet analysis. International Journal of Electrical Power Energy Systems, 69:241-245.[Zhao et al., 2016] Zhao, Z., Zhu, J., and Xia, B. (2016). Multi-fractal fluctuation features of thermal power coal price in china. Energy, 117:10-18.EspecializadaINSTITUCION UNIVERSITARIA PASCUAL BRAVOSAPIENCIA-MEDELLINCC-LICENSElicense_rdflicense_rdfapplication/rdf+xml; charset=utf-8799https://repositorio.unal.edu.co/bitstream/unal/79777/3/license_rdff7d494f61e544413a13e6ba1da2089cdMD53ORIGINAL71703810.2021.pdf71703810.2021.pdfTesis de doctorado en Ingeniería - Sistemas Energéticosapplication/pdf13168013https://repositorio.unal.edu.co/bitstream/unal/79777/5/71703810.2021.pdf3e0d29d9a9a7c8d4c2d4e310a536e711MD55LICENSElicense.txtlicense.txttext/plain; charset=utf-83964https://repositorio.unal.edu.co/bitstream/unal/79777/6/license.txtcccfe52f796b7c63423298c2d3365fc6MD56THUMBNAIL71703810.2021.pdf.jpg71703810.2021.pdf.jpgGenerated Thumbnailimage/jpeg4616https://repositorio.unal.edu.co/bitstream/unal/79777/7/71703810.2021.pdf.jpga65f207d42753a153b11ca868911d878MD57unal/79777oai:repositorio.unal.edu.co:unal/797772024-07-24 23:40:25.81Repositorio Institucional Universidad Nacional de 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GVyZWNob3MgZGUgYXV0b3IgcXVlIGNvbmxsZXZlIGxhIGRpc3RyaWJ1Y2nDs24gZGUgZXN0b3MgYXJjaGl2b3MgeSBtZXRhZGF0b3MuCkFsIGhhY2VyIGNsaWMgZW4gZWwgc2lndWllbnRlIGJvdMOzbiwgdXN0ZWQgaW5kaWNhIHF1ZSBlc3TDoSBkZSBhY3VlcmRvIGNvbiBlc3RvcyB0w6lybWlub3MuCgpVTklWRVJTSURBRCBOQUNJT05BTCBERSBDT0xPTUJJQSAtIMOabHRpbWEgbW9kaWZpY2FjacOzbiAyNy8yMC8yMDIwCg==

Método para calcular el grado de fluctuación de la curva de demanda de potencia eléctrica usando dimensión fractal

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