Modelo matemático de aproximación cuadrático para el flujo óptimo de potencia en redes eléctricas de distribución trifásicos desbalanceados.
One of the most recurrent problems in the calculation of Optimal Power Flows is that they present convergence failures in distribution systems due to the non-linearities that exist in the active and reactive power balance, these types of systems require that there is a single solution , and thus car...
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| Format: | bachelorThesis |
| Language: | spa |
| Published: |
2021
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| Online Access: | http://repositorio.utc.edu.ec/handle/27000/7952 |
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Add Tag | Summary: | One of the most recurrent problems in the calculation of Optimal Power Flows is that they present convergence failures in distribution systems due to the non-linearities that exist in the active and reactive power balance, these types of systems require that there is a single solution , and thus carry out the optimal operation coordination of energy resources such as non-renewable energies. The purpose of this research work is to find a mathematical model through the use of a convex quadratic approximation that allows solutions to the optimal power flow (OPF) for distribution systems, considering distributed generation. The approach is based on an optimal linearized power flow that is valid for distribution systems including three-phase unbalanced systems. The mathematical model starts from the ZIP polynomial cargestatic modeling, then it is determined if the function is non-holomorphic in order to be able to linearize by means of the Taylor series in the complex plane and thus transform it into a linear function, by means of the CVX function and the SeDuMi solver of the software Matlab, optimization of the optimal unbalanced three-phase power flow was carried out, obtaining the global optimum and a single solution, where the objective is to minimize the total losses of the system through redistributed generators that are considered in the system. The results obtained from the mathematical model presented in this research work were compared with a commercial Cymdist software, since it is focused on unbalanced distribution systems and consists of the polynomial load parameters for its modeling. |
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