Thesis RESOLUCIÓN DEL FLUJO DE POTENCIA ÓPTIMO EN CORRIENTE ALTERNA Y APLICACIÓN DEL MÉTODO A LA PLANIFICACIÓN DE LA EXPANSIÓN DE LA GENERACIÓN ELÉCTRICA
Date
2017
Authors
SOLIS LLANOS, NICOLAS
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Abstract
Este trabajo presenta una formulacion matematica aplicada al problema de planificacion de la expansion de la capacidad de generacion electrica. Teniendo como objetivo principal el desarrollo de un modelo que represente la no linealidad de los sistemas de potencia de forma fehaciente.Así, la construccion del modelo matematico queda compuesta por costos representativos a la inversion de nuevas plantas y la operacion del sistema se considera en corriente alterna.La creacion del codigo de planificacion esta fundado en programacion no lineal entera-mixta (MINLP). Para llevar a cabo la resolucion el desarrollo computacional es escrito sobre el lenguaje de programacion Python, de esta manera el codigo logra su ejecucion mediante el interprete Pyomo encargado de conectar el modelo con los algoritmos de optimizacion.La ventaja que presenta modelar la operacion del sistema en corriente alterna se refleja en la certeza de la solucion, modificando la topologa del sistema de forma optima. Por otro lado, la complejidad computacional aumenta de forma significativa producto de la no linealidad en la distribucion de potencias por las lneas del sistema.Por el contrario, la metodologa utilizada en corriente continua plantea un modelo lineal entero mixto (MILP), entregando resultados aproximados que abordan unicamente la distribucion de potencia activa, gracias a esto el modelo se caracteriza por tener bajo esfuerzo computacional.La estructura del estudio concluye con la aplicacion del algoritmo a sistemas IEEE, buscando generar un contraste entre las dos formas de planificar. Finalmente, se incluye el analisis de un flujo de potencia para el programa de inversion DC, con el proposito de demostrar la importancia de la potencia reactiva en la distribucion de los flujos de carga.
This Works offers a mathematical formulation aplied to the planification problem considering the expansion of the electric generation capacity. The objetives of this document is the development of a model that represents the non lineality of the power systems in a reliable way, so the construction of the new plants and operation systems is in terms of AC Current.The creation of the planification codex is founded on mixted-integer non lineal programming MINLP, so that the founding Stone of the computational develpments is written on the Programming language. This way, the codex manage his resolution trhgough their program associated Pyomo whos function is to conect the model with the algorithms of optimization.The advantage of representing the operation of the system in AC Current, is reected on the Accuracy of the solution, modifing the topology of the system in an optimal way. but, the computational complexity increases significantly cause of the power distribution of the transmission lines.On the contrary, the metodology used in DC shows a Integer-mixted lineal model MILP, delivering Solutions that only deliver the Active Power for distribution of energy using low computational Resources.The structure of this study concludes with the aplication the algorithm to IEEE systems, generating a contrast betwen the two ways of planning (AC and DC). Finally, the analisys of a DC Power Flow is included, with the intention of proving the importance of the reactive power in the distribution planning powerflows.
This Works offers a mathematical formulation aplied to the planification problem considering the expansion of the electric generation capacity. The objetives of this document is the development of a model that represents the non lineality of the power systems in a reliable way, so the construction of the new plants and operation systems is in terms of AC Current.The creation of the planification codex is founded on mixted-integer non lineal programming MINLP, so that the founding Stone of the computational develpments is written on the Programming language. This way, the codex manage his resolution trhgough their program associated Pyomo whos function is to conect the model with the algorithms of optimization.The advantage of representing the operation of the system in AC Current, is reected on the Accuracy of the solution, modifing the topology of the system in an optimal way. but, the computational complexity increases significantly cause of the power distribution of the transmission lines.On the contrary, the metodology used in DC shows a Integer-mixted lineal model MILP, delivering Solutions that only deliver the Active Power for distribution of energy using low computational Resources.The structure of this study concludes with the aplication the algorithm to IEEE systems, generating a contrast betwen the two ways of planning (AC and DC). Finally, the analisys of a DC Power Flow is included, with the intention of proving the importance of the reactive power in the distribution planning powerflows.
Description
Catalogado desde la version PDF de la tesis.
Keywords
FLUJO DE POTENCIA , GENERACION ELECTRICA , PLANIFICACION CORRIENTE ALTERNA