Simulación de un generador de impulsos tipo roman por el metodo de lattice Boltzmann
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Rincón Báez, William Umar
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Trabajo de grado - Maestría
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EspañolFecha de publicación
2014-06-26
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Los modelos de lattice Boltzmann son alternativas novedosas para la simulación de ecuaciones diferenciales que han sido extendidas recientemente a la simulación de campos electromagnéticos. Estos modelos han probado ser rápidos y eficientes en la simulación de situaciones electromagnéticas sencillas. Por su parte, los generadores de impulso son dispositivos eléctricos de mucho interés practico que se prestan perfectamente para la simulación de campos electromagnéticos en el dominio del tiempo. Esta trabajo tiene como objetivo utilizar el modelo de lattice Boltzmann de electrodinámica desarrollado por Mendoza y Muñoz [1] para simular el funcionamiento del generador de impulsos diseñado y construido por Román y Santamaría, y explorar de esta manera las potencialidades de este método. Para ello se implementan en lattice Boltzmann modelos para la fuente de alimentación del generador y su interruptor de plasma, que se utilizan finalmente para la simulación total del generador con una resolución baja. La simulación construida con el modelo de lattice Boltzmann reproduce con _éxito el comportamiento cualitativo de las corrientes y los voltajes medidos experimentalmente en el sistema real, lo que evidencia la capacidad del método para simular este tipo de sistemas.
Abstract. Lattice Boltzmann models are, on one hand, novel alternatives for the simulation of partial differential equations that have been recently extended to the simulation of electromagnetic fields in media. These models have proven to be fast and accurate in the reproduction of simple electromagnetic problems. On the other hand, impulse generators are electrical devices of great practical interest, which are perfectly suitable for the simulation of electromagnetic fields in time domain. This work uses the lattice Boltzmann model developed by Mendoza and Mu~noz to simulate the impulse generator designed and developed by Roman and Santamaria, and explores so the potential of the novel method. For this purpose, models for the voltage supply and the spark gap were built and implemented with lattice Boltzmann, models which were used thereafter in the simulation of the whole impulse generator at low spatial resolution. The simulation with lattice Boltzmann successfully reproduces the qualitative form and rise times of the voltage and current signals that were measured in the experiments. This evidences the capabilities and future possibilities of the lattice Boltzmann method for the simulation of electronically devices.
Abstract. Lattice Boltzmann models are, on one hand, novel alternatives for the simulation of partial differential equations that have been recently extended to the simulation of electromagnetic fields in media. These models have proven to be fast and accurate in the reproduction of simple electromagnetic problems. On the other hand, impulse generators are electrical devices of great practical interest, which are perfectly suitable for the simulation of electromagnetic fields in time domain. This work uses the lattice Boltzmann model developed by Mendoza and Mu~noz to simulate the impulse generator designed and developed by Roman and Santamaria, and explores so the potential of the novel method. For this purpose, models for the voltage supply and the spark gap were built and implemented with lattice Boltzmann, models which were used thereafter in the simulation of the whole impulse generator at low spatial resolution. The simulation with lattice Boltzmann successfully reproduces the qualitative form and rise times of the voltage and current signals that were measured in the experiments. This evidences the capabilities and future possibilities of the lattice Boltzmann method for the simulation of electronically devices.