modeling lamps using commercial packages
DESCRIPTION
Modeling lamps using commercial packages. COST – Model Inventory Workshop, Funchal, April 2005. ROUFFET Jean-Baptiste CPAT – Université de Toulouse, France. CONTENTS. Our modeling of HID lamps Use of FEMLAB Why have we choose commercials packages? Conclusion. - PowerPoint PPT PresentationTRANSCRIPT
Modeling lamps using commercial packages
ROUFFET Jean-Baptiste
CPAT – Université de Toulouse, France
COST – Model Inventory Workshop, Funchal, April 2005
CONTENTS
Our modeling of HID lamps
Use of FEMLAB
Why have we choose commercials packages?
Conclusion
COST – Model Inventory Workshop, Funchal, April 2005
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
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
OUR MODELING OF HID LAMPS
COST – Model Inventory Workshop, Funchal, April 2005
DISCHARGE
PCA
4PCArad SBT
Anode, we choose V=0
( )( ) ( )
( )( )
2
. 0
.
. .
. 0
m
m m
m p net
u
u u u p g
c u T E U T
V
ìï Ñ =ïïï Ñ =Ñ Ñ - Ñ +ïïïíï Ñ = - +Ñ Ñïïïï Ñ Ñ =ïïî
( )( )
2. .
. 0
m p netc u T E U T
V
ìï Ñ = - +Ñ Ñïïíï Ñ Ñ =ïïî
g
Boundaries conditions given
by the M. Benilov’s team
model
OUR MODELING OF HID LAMPS
COST – Model Inventory Workshop, Funchal, April 2005
Current density Temperature
FEMLAB
COST – Model Inventory Workshop, Funchal, April 2005
PLAN
COST – Model Inventory Workshop, Funchal, April 2005
FEMLAB
COST – Model Inventory Workshop, Funchal, April 2005
FEMLAB
COST – Model Inventory Workshop, Funchal, April 2005
FEMLAB
COST – Model Inventory Workshop, Funchal, April 2005
FEMLAB
COST – Model Inventory Workshop, Funchal, April 2005
FEMLAB
COST – Model Inventory Workshop, Funchal, April 2005
FEMLAB
COST – Model Inventory Workshop, Funchal, April 2005
FEMLAB
COST – Model Inventory Workshop, Funchal, April 2005
TEMPERATURE VELOCITY CURENT (Log)
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
Why have we choose commercials packages?
COST – Model Inventory Workshop, Funchal, April 2005
LAMPPOWER SUPPLY
Electric network
CANDELABRAELECTRODEST
radE
T
j
V (or the lamps conductivity)
I
T
OUT PUT OF THE SYSTEM
Cathodique fall
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
LAMPPOWER SUPPLY
Electric network
CANDELABRAELECTRODEST
radE
T
j
V (or the lamps conductivity)
I
T
OUT PUT OF THE SYSTEM
Cathodique fall
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?
-
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)
COST – Model Inventory Workshop, Funchal, April 2005
THANK YOU
COST – Model Inventory Workshop, Funchal, April 2005
COST – Model Inventory Workshop, Funchal, April 2005
COST – Model Inventory Workshop, Funchal, April 2005
COST – Model Inventory Workshop, Funchal, April 2005
COST – Model Inventory Workshop, Funchal, April 2005
m
t . mu 0
m
u
t u. u
p mg .u
mcp
T
t u.T
E2 U net . T
. 0V
Les équations utilisées pour modéliser le plasma
Boundary Condition on temperature
Condition on velocity
Condition on potential
q.n=0 with
TuCTq p n.u=0 n.σE=0
T=TB
TB is given by M.Benilov
u=0
n.σE=jB
where jB is given by
M.Benilov
T=TB
TB is given by M.Benilov
u=0 V=0
T=TB
TB is given by M.Benilov
n.σE=0
q.n=0 u=0 n.σE=0
T=Tw n.σE=0
Les conditions aux limites
Le projet NumeLiTe
Evolution of the relative proportion of elements in gas phase versus wall temperature.
Evolution of system pressure versus wall temperature.
For Tw>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
Calcul des densités des espèces
Tw Psys %Hg700 K 1,83 atm 99,90800 K 2,10 atm 98,88900 K 2,43 atm 93,891000 K 2,93 atm 80,051100 K 3,73 atm 62,501400 K 4,76 atm 62,50
Les coefficients de transport
Le coefficient d’émission net
1.
4N RF
Pour un plasma à l’équilibre thermodynamique local, on peut relier le coefficient d’émission nette à la divergence du flux radiatif:
N T ,Rp L0 T K T exp K T Rp d
0
K étant le coefficient d’absorption monochromatique corrigé de l’émission stimulée
En considérant un plasma homogène et isotherme de rayon Rp, nous pouvons écrire:
Le coefficient d’émission nette
2
.( ) 0
.
. .
. 0
mm
m m
m p net
t
pt
Tc T U T
t
V
u
uu. u g u
u E
.
. 0
PCA PCA PCAm p
PCA
Tc T
t
V
Les équations du modèle
r (m)
r
z
Temperature profile versus radius for different z
Résultats