COMBUSTION MODELING AND OPTIMIZATION

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COMBUSTION MODELING AND

OPTIMIZATION

Application of Computational Fluid Dynamics and Systematic

Optimization in Emission Reduction of Biomass Fluidized Bed Boiler

Ari Saario, Antti Oksanen

Tampere University of Technology, Finland

Matti Ylitalo, Juha Roppo

Metso Power Oy, Finland

Acknowledgments:

Combustion Modeling and Optimization

Introduction

Combustion Modeling and Optimization

Fluidized Bed Boiler Modeling

Bubbling fluidized bed boiler burning biomass studied using computational fluid dynamics (CFD)

More stringent nitric oxide emission limits

⇒ new and improved design tools required

Nitric oxide reduction by ammonia injection (SNCR process): two-step global reaction mechanism

NH

3

+ O

2

NO + H

2

O +

1

2

H

2

NH

3

+ NO

N

2

+ H

2

O +

1

2

H

2 too high temperature

→ more NO produced too low temperature

NH

3 passes unreacted

(1)

(2)

Combustion Modeling and Optimization

Grid dependency and submodels

Combustion Modeling and Optimization

Unstructured (tetrahedral) grids

0.2

0.18

0.16

0.14

0.12

0.1

0.08

0.06

0.04

0.02

0

Unstructured grid I (73 994 cells)

Unstructured grid II (74 306 cells)

Unstructured grid III (74 526 cells)

Unstructured grid IV (74 006 cells)

Dense unstructured grid (2 067 513 cells)

Very dense structured grid (4 264 650 cells)

0.05

0.1

0.15

r / x

0.2

0.25

0.3

Combustion Modeling and Optimization

Structured grids - local grid refinement

4 x 10

−3

3

Baseline grid (102 524 cells)

Once refined grid (105 968 cells)

Twice refined grid (109 412 cells)

Three times refined grid (112 856 cells)

Dense grid (2 067 424 cells)

Very dense grid (4 264 650 cells)

2

1

0 0.05

0.1

0.15

r / x

0.2

0.25

0.3

Combustion Modeling and Optimization

Temperature distribution

Side

Left C

Side

Left B

Side

Left A

6

5

1100

1150

1200

1250

1100

4

1100

1200

1300

3

1350 1200

1150

2

1250 1300

1350

1150

1100

1000

1

1200

1300

1100

8 7

1350

6

1300

1200 1100

5 4

Width (m)

3

Front Left

1000

2

Front Right

1

Combustion Modeling and Optimization

Side

Right C

Side

Right B

Side

Right A

Optimization

Combustion Modeling and Optimization

Optimization problem

Find x = [x

1

, x

2

, . . . , x n

] T which minimizes f ( x ) = [f

1

( x ), f

2

( x ), . . . , f k

( x )] T subject to g j

( x ) ≤ 0 j = 1, 2, . . . , p h j

( x ) = 0, j = 1, 2, . . . , q x is design variable vector f ( x ) is objective function vector g j

( x ) and h j

( x ) are inequality and equality constraints

Combustion Modeling and Optimization

Optimization - CFD interaction

OPTIMIZATION

ALGORITHM

Design

Variables

@

@

R

CFD

@

@

Objective

Function

Combustion Modeling and Optimization

Why optimize ?

Exhaustive search over the whole design space:

Assume nine design variables (n = 9) and

64 design points per each variable (q i

= 64)

Number of required function evaluations, N:

N =

Q n i=1 q i

= 1.8e+16

Assume further that one CFD evaluation takes one hour −→ we need 2.1e+12 years to complete the optimization !

Combustion Modeling and Optimization

Optimization methods

A great number of possibilities exist

Genetic algorithm:

• population-based method

• survival of the fittest: selection - crossover - mutation

• no need for gradients

• not dependent on starting point (global method)

• requires many function evaluations

Powell’s method:

• point by point iterative method

• no need for gradients

• dependent on starting point (local method)

Combustion Modeling and Optimization

Genetic algorithm principle

START g = 0

Generate initial population P(g) with s individuals

[s = 10]

Evaluate fitness of each individual in P(g)

[CFD]

Replace j worst

individuals in P(g) by j best individuals in

P(g-1) [j = 1]

Apply mutation with probability p

m

Apply crossover with probability p

c

[uniform crossover,

STOP

YES

Stopping criterion met ?

[g > 48]

NO g = g + 1

Apply selection

[tournament of two individuals]

Combustion Modeling and Optimization

Minimum NO emission

85

← ←

Baseline injection case

80

Pop. 10 (a)

Pop. 10 (b)

Pop. 10 (c)

Pop. 10 (d)

Pop. 10 (e)

Pop. 50

75

70

65

60

0 100 200 300 400 500 600 700

CFD evaluations

Combustion Modeling and Optimization

Pareto points in objective space

110

100

90

80

70

60

50

0 10 20 30 40 50

Ammonia concentration (ppm vol

)

Baseline case

SOO (NO)

SOO (NH3)

MOO

Combustion Modeling and Optimization

Optimum design variables

5

4

Side

Left C

3

2

1

Rear

Front

Left

Side

Left A

Side

Left B

Injection

Front

Right

Side

Right A

Side

Right B

Side

Right C

Combustion Modeling and Optimization

Conclusions

Combustion Modeling and Optimization

Conclusions

• Careful CFD modeling study may be able to give information about trends in boiler emissions

• Fast-growing computing power → use of systematic optimization with CFD offers great possibilities in near future.

• Combination of CFD and optimization gives high quality results in efficient manner.

Combustion Modeling and Optimization

Conclusions - CFD Modeling

Challenges / problems in fluidized bed boiler

CFD modeling

• Description of bubbling bed and fuel feed

• Uncertainties in CFD model boundary conditions

• Coarse computational grids

• Shortage of experimental data for model validation

• Nitrogen chemistry and turbulence - chemistry interaction modeling

• Radiative heat transfer modeling

Combustion Modeling and Optimization

Conclusions - Optimization

Challenges / problems in optimization

• Great number of CFD evaluations required

• Definition of objectives and design variables

• Finding best optimization method and its parameters for specific case

• Multi-objective optimization

• Constrained optimization

Combustion Modeling and Optimization

Selected publications

SAARIO, A., OKSANEN, A. YLITALO, M. (2007). Application of

Computational Fluid Dynamics and Multi-Objective Optimization in Design of

Low Emission Combustion Equipment. 15 th IFRF Member’s Conference, Pisa,

Italy.

to appear .

SAARIO, A., OKSANEN, A. (2007). Detailed Study on the Effect of

Computational Grid in Industrial-Scale Boiler Modeling.

Submitted .

SAARIO, A., OKSANEN, A., YLITALO, M. (2006). Combination of Genetic

Algorithm and Computational Fluid Dynamics in Combustion Process Emission

Minimisation.

Combustion Theory and Modelling , Vol. 10, pages 1037 - 1047.

SAARIO, A., OKSANEN, A., YLITALO, M. (2006). Nitric Oxide Emission

Modeling in Bubbling Fluidized Bed Furnace for Biomass.

International Journal on Energy for a Clean Environment , Vol. 7, pages 1 - 22.

SAARIO, A., OKSANEN, A., MAKIRANTA, R., YLITALO, M. (2005).

Optimization of Selective Non Catalytic Reduction Process Using Computational

Fluid Dynamics and Genetic Algorithms. Swedish - Finnish Flame Days, Boras,

Sweden.

Combustion Modeling and Optimization

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