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Modeling lamps using commercial packages ROUFFET Jean-Baptiste CPAT – Université de Toulouse, France COST – Model Inventory Workshop, Funchal, April 2005

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CONTENTS Our modeling of HID lamps Use of FEMLAB Why have we choose commercials packages? Conclusion COST – Model Inventory Workshop, Funchal, April 2005

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OUR MODELING OF HID LAMPS COST – Model Inventory Workshop, Funchal, April 2005 FLUID MODEL We have to calculate transport coefficients versus T and p LTE We have to calculate discharge composition versus T and p ASUMPTIONS: LTE No demixion No erosion Ra=cte DC

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OUR MODELING OF HID LAMPS COST – Model Inventory Workshop, Funchal, April 2005 We solve equations: Energy balance Momentum balance Current conservation We calculate and tabulate transport coefficients versus T and p We calculate discharge composition versus T and p(Tw) MTDaTa FEMLAB We calculate the pressure that we have in the burner versus wall temperature for a given mixture

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OUR MODELING OF HID LAMPS COST – Model Inventory Workshop, Funchal, April 2005 DISCHARGE PCA Anode, we choose V=0 g Boundaries conditions given by the M. Benilov’s team model

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OUR MODELING OF HID LAMPS COST – Model Inventory Workshop, Funchal, April 2005 Current densityTemperature

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FEMLAB COST – Model Inventory Workshop, Funchal, April 2005

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PLAN COST – Model Inventory Workshop, Funchal, April 2005

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FEMLAB COST – Model Inventory Workshop, Funchal, April 2005

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FEMLAB COST – Model Inventory Workshop, Funchal, April 2005

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FEMLAB COST – Model Inventory Workshop, Funchal, April 2005

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FEMLAB COST – Model Inventory Workshop, Funchal, April 2005

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FEMLAB COST – Model Inventory Workshop, Funchal, April 2005

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FEMLAB COST – Model Inventory Workshop, Funchal, April 2005

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FEMLAB COST – Model Inventory Workshop, Funchal, April 2005 TEMPERATURE VELOCITY CURENT (Log)

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Why have we choose commercials packages? COST – Model Inventory Workshop, Funchal, April 2005 Lamps can be considered like a converter of electric energy in radiative energy

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Why have we choose commercials packages? COST – Model Inventory Workshop, Funchal, April 2005 LAMP POWER SUPPLY Electric network CANDELABRAELECTRODES T T j V (or the lamps conductivity) I T OUT PUT OF THE SYSTEM Cathodique fall

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Why have we choose commercials packages? COST – Model Inventory Workshop, Funchal, April 2005 Simulink is a Matlab toolbox that enable to make model with module LAMP MODULE BALLAST MODULE ELECTRODE MODULE FEMLAB CAN GENERATE SIMULINK BLOCK AND IS MULTIPHYSICS LAMP POWER SUPPLY Electric network CANDELABRAELECTRODES T T j V (or the lamps conductivity) I T OUT PUT OF THE SYSTEM Cathodique fall

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Algorithms development are made optimization is made (rapidity) Conviviality (user interfaces) User community Support Cost no access to all parameters + COST – Model Inventory Workshop, Funchal, April 2005 Why have we choose commercials packages? -

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CONCLUSION COST – Model Inventory Workshop, Funchal, April 2005 The use of FEMLAB enable us to have quickly results without to develop algorithms and programs The possibility of convert a FEMLAB model in Simulink is a good things when we want to work with other peoples (collaboration) We have to add demixion and go toward the 3D LIMITATIONS We can’t model very high compressible flow (shock tube) 3D (memory problems)

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COST – Model Inventory Workshop, Funchal, April 2005 THANK YOU

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COST – Model Inventory Workshop, Funchal, April 2005

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Les équations utilisées pour modéliser le plasma

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Les conditions aux limites

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Le projet NumeLiTe Evolution of the relative proportion of elements in gas phase versus wall temperature. Evolution of system pressure versus wall temperature. For T w >1090K, we have in gas phase : 62,5% of Hg 18.75% of Tl 18,75% of I Mercury vaporisation Thallium iodine vaporisation Only gas phase Wall temperature changes system pressure and modifies proportions of each element in gas phase

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Calcul des densités des espèces

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Tw Psys %Hg 700 K 1,83 atm 99,90 800 K 2,10 atm 98,88 900 K 2,43 atm 93,89 1000 K 2,93 atm 80,05 1100 K 3,73 atm 62,50 1400 K 4,76 atm 62,50 Les coefficients de transport

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Le coefficient d’émission net Pour un plasma à l’équilibre thermodynamique local, on peut relier le coefficient d’émission nette à la divergence du flux radiatif: étant le coefficient d’absorption monochromatique corrigé de l’émission stimulée En considérant un plasma homogène et isotherme de rayon Rp, nous pouvons écrire:

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Le coefficient d’émission nette

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Les équations du modèle

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r (m) r z Temperature profile versus radius for different z Résultats

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