20
2/15/2006 1 Glenn Research Center at Lewis Field RPT/pkj Experimental Validation of a Closed Brayton Cycle System Transient Simulation Paul K. Johnson Analex Corporation Cleveland, OH 44135 [email protected] Presented at the Space Technology & Applications International Forum (STAIF-2006) 23 rd Symposium on Space Nuclear Power and Propulsion Albuquerque, New Mexico USA February 15, 2006 David S. Hervol Analex Corporation Cleveland, OH 44135 [email protected] https://ntrs.nasa.gov/search.jsp?R=20060051715 2020-03-04T04:41:15+00:00Z

Experimental Validation of a Closed Brayton Cycle System Transient Simulation ... · 2013-04-10 · 1 2/15/2006 Glenn Research Center at Lewis Field RPT/pkj Experimental Validation

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Page 1: Experimental Validation of a Closed Brayton Cycle System Transient Simulation ... · 2013-04-10 · 1 2/15/2006 Glenn Research Center at Lewis Field RPT/pkj Experimental Validation

2/15

/200

61G

lenn

Res

earc

h C

ente

rat

Lew

isFi

eld

RP

T/pk

j

Expe

rimen

tal V

alid

atio

n of

a C

lose

d B

rayt

onC

ycle

Sys

tem

Tra

nsie

nt

Sim

ulat

ion

Pau

l K. J

ohns

onA

nale

xC

orpo

ratio

nC

leve

land

, OH

441

35P

aul.K

.Joh

nson

@gr

c.na

sa.g

ov

Pre

sent

ed a

t the

Spa

ce T

echn

olog

y &

App

licat

ions

Inte

rnat

iona

l For

um

(STA

IF-2

006)

23rd

Sym

posi

um o

n S

pace

Nuc

lear

Pow

er a

nd P

ropu

lsio

nA

lbuq

uerq

ue, N

ew M

exic

o U

SA

Febr

uary

15,

200

6

Dav

id S

. Her

vol

Ana

lex

Cor

pora

tion

Cle

vela

nd, O

H 4

4135

Dav

id.S

.Her

vol@

grc.

nasa

.gov

https://ntrs.nasa.gov/search.jsp?R=20060051715 2020-03-04T04:41:15+00:00Z

Page 2: Experimental Validation of a Closed Brayton Cycle System Transient Simulation ... · 2013-04-10 · 1 2/15/2006 Glenn Research Center at Lewis Field RPT/pkj Experimental Validation

2/15

/200

62G

lenn

Res

earc

h C

ente

rat

Lew

isFi

eld

RP

T/pk

j

Ack

now

ledg

emen

t

The

wor

k in

th

is

pape

r w

as

perfo

rmed

fo

r N

AS

A H

eadq

uarte

rs,

Pro

met

heus

Nuc

lear

Sys

tem

s P

rogr

am.

Any

opi

nion

s ex

pres

sed

are

thos

e of

the

auth

ors

and

do

not

nece

ssar

ily r

efle

ct t

he v

iew

s of

the

Pro

met

heus

N

ucle

ar S

yste

ms

Pro

gram

. Th

e au

thor

s w

ould

lik

e to

th

ank

Mic

hael

B

arre

tt,

Arth

ur

Birc

heno

ugh,

M

icha

el

John

ston

, an

d Le

e M

ason

for

the

ir as

sist

ance

with

te

stin

g an

d an

alys

is.

Page 3: Experimental Validation of a Closed Brayton Cycle System Transient Simulation ... · 2013-04-10 · 1 2/15/2006 Glenn Research Center at Lewis Field RPT/pkj Experimental Validation

2/15

/200

63G

lenn

Res

earc

h C

ente

rat

Lew

isFi

eld

RP

T/pk

j

Out

line

•In

trodu

ctio

n•

Bra

yton

hard

war

e•

Bra

yton

test

ing

•C

ompu

ter m

odel

des

crip

tion

•S

tead

y-st

ate

mod

el c

ompa

rison

•Tr

ansi

ent m

odel

des

crip

tion

•C

oncl

usio

ns

Page 4: Experimental Validation of a Closed Brayton Cycle System Transient Simulation ... · 2013-04-10 · 1 2/15/2006 Glenn Research Center at Lewis Field RPT/pkj Experimental Validation

2/15

/200

64G

lenn

Res

earc

h C

ente

rat

Lew

isFi

eld

RP

T/pk

j

Intr

oduc

tion

•Th

e B

rayt

onP

ower

Con

vers

ion

Uni

t (B

PC

U)

is a

clo

sed

cycl

e sy

stem

with

an

iner

t gas

wor

king

flui

d–

Loca

ted

in V

acuu

m F

acilit

y 6

at N

AS

A G

lenn

Res

earc

h C

ente

r•

Use

d in

pre

viou

s so

lar d

ynam

ic te

chno

logy

effo

rts (S

DG

TD)

–M

odifi

ed to

its

pres

ent c

onfig

urat

ion

by r

epla

cing

the

sola

r re

ceiv

er w

ith a

n el

ectri

cal r

esis

tanc

e he

ater

The

first

clo

sed-

Bra

yton

-cyc

le t

o be

cou

pled

with

an

ion

prop

ulsi

on s

yste

m

(STA

IF 2

004)

•U

sed

to

exam

ine

mec

hani

cal

dyna

mic

ch

arac

teris

tics

and

resp

onse

s(S

TAIF

200

5)•

The

focu

s of

this

wor

k w

as th

e va

lidat

ion

of a

com

pute

r mod

el o

fthe

BP

CU

–M

odel

was

bui

lt us

ing

the

Clo

sed

Cyc

le S

yste

m S

imul

atio

n (C

CS

S)

desi

gn

and

anal

ysis

tool

Test

con

ditio

ns w

ere

then

dup

licat

ed in

CC

SS

–V

ario

us s

tead

y-st

ate

poin

ts–

Tran

sien

ts in

volv

ing

chan

ges

in s

haft

rota

tiona

l spe

ed a

nd h

eat i

nput

Page 5: Experimental Validation of a Closed Brayton Cycle System Transient Simulation ... · 2013-04-10 · 1 2/15/2006 Glenn Research Center at Lewis Field RPT/pkj Experimental Validation

2/15

/200

65G

lenn

Res

earc

h C

ente

rat

Lew

isFi

eld

RP

T/pk

j

Bra

yton

Har

dwar

e•

Des

igne

d fo

r ope

ratio

n up

to 2

kW

eou

tput

pow

er•

Fully

inte

grat

ed p

ower

con

vers

ion

syst

em–

Turb

ine-

alte

rnat

or-c

ompr

esso

r (ra

dial

/cen

trifu

gal)

•G

as c

oole

d al

tern

ator

and

sha

ft•

Gas

foil

bear

ings

–R

ecup

erat

or•

Has

tello

yX

cons

truct

ion

•O

ffset

stri

p-fin

, cou

nter

-flow

•97

.5%

effe

ctiv

e–

Gas

coo

ler a

nd c

omm

erci

al c

hille

r (pu

mpe

d et

hyle

ne g

lyco

l) •

Stai

nles

s st

eel a

nd n

icke

l con

stru

ctio

n•

Offs

et s

trip-

fin, c

ount

er-fl

ow–

Elec

tric

resi

stan

ce h

eate

r•

Thre

e si

licon

-car

bide

hea

ting

elem

ents

enc

apsu

late

d in

thre

e fin

ned

met

al tu

bes

•H

ayne

s 18

8 co

nstru

ctio

n•

Gas

tem

pera

ture

s in

exc

ess

of 1

000

K•

Hel

ium

-Xen

on w

orki

ng fl

uid

–62

.7 m

ole

% H

eliu

m, 3

7.3

mol

e %

Xen

on (8

3.8

g/m

ol)

•O

pera

ted

in a

roug

h va

cuum

test

env

ironm

ent

–H

ot c

ompo

nent

s ar

e co

vere

d w

ith m

ulti-

foil

insu

latio

n (M

FI)

Page 6: Experimental Validation of a Closed Brayton Cycle System Transient Simulation ... · 2013-04-10 · 1 2/15/2006 Glenn Research Center at Lewis Field RPT/pkj Experimental Validation

2/15

/200

66G

lenn

Res

earc

h C

ente

rat

Lew

isFi

eld

RP

T/pk

j

BPC

U H

ardw

are

Gas

Coo

ler

Rec

uper

ator

Turb

o-al

tern

ator

Hea

ter

BP

CU

Page 7: Experimental Validation of a Closed Brayton Cycle System Transient Simulation ... · 2013-04-10 · 1 2/15/2006 Glenn Research Center at Lewis Field RPT/pkj Experimental Validation

2/15

/200

67G

lenn

Res

earc

h C

ente

rat

Lew

isFi

eld

RP

T/pk

j

Bra

yton

Test

Mat

rix•

Ther

e ar

e tw

o pr

imar

y va

riabl

es u

sed

in o

pera

ting

the

BP

CU

–H

eate

r ele

ctric

al p

ower

set

ting

–R

otor

spe

ed s

ettin

g•

Test

ing

invo

lved

12

trans

ient

s –

Cha

nged

ste

p-w

ise

heat

er p

ower

set

ting

and

roto

r spe

ed s

ettin

g–

Syst

em a

llow

ed to

reac

h st

eady

-sta

te a

fter e

ach

set-p

oint

ste

p ch

ange

024681012

Tim

e

Heater Power (kW)

01000

0

2000

0

3000

0

4000

0

5000

0

6000

0

Shaft Speed (RPM)

Four

con

secu

tive

tran

sien

ts u

sed

for m

odel

ing

com

paris

on

Hea

ter

Pow

er

(kW

)

Rot

or

Spee

d (k

RPM

)

Hea

ter

Pow

er

(kW

)

Rot

or

Spee

d (k

RPM

)4

28-3

78-

652

4-5

376

52-4

65

37-4

66-

546

5-6

465

46-3

76

46-5

25-

437

6-8

524

37-2

8

Posi

tive

Step

Cha

nge

Tran

sien

tsN

egat

ive

Step

Cha

nge

Tran

sien

ts

Page 8: Experimental Validation of a Closed Brayton Cycle System Transient Simulation ... · 2013-04-10 · 1 2/15/2006 Glenn Research Center at Lewis Field RPT/pkj Experimental Validation

2/15

/200

68G

lenn

Res

earc

h C

ente

rat

Lew

isFi

eld

RP

T/pk

j

BPC

U T

est R

esul

ts•

Ste

ady-

stat

e re

sults

at t

hree

ope

ratin

g po

ints

for m

ultip

le ru

ns•

Tem

pera

ture

var

iatio

n w

as w

ithin

+2.

64 /

-2.5

5 %

Pre

ssur

e va

riatio

n w

as w

ithin

+2.

14 /

-2.6

7%•

BP

CU

dem

onst

rate

d re

peat

abilit

y 37 k

RPM

4 k

W46

kR

PM 5

kW

52

kR

PM 8

kW

Loca

tion

Ave

rage

(%

+/-)

A

vera

ge

(% +

/-)

Ave

rage

(%

+/-)

Hea

ter E

xit (

K)

913

+1.2

0 / -

1.65

86

2 +2

.33

/ -2.

21

985

+0

.63

/ -0.

63

Turb

ine

Inle

t (K

) 91

5 1.

24 /

1.82

86

5 2.

55 /

2.43

9

88

0.64

/ 0.

64

Turb

ine

Exit

(K)

832

1.19

/ 1.

75

766

2.49

/ 2.

36

848

0.

62 /

0.62

Rec

up. L

P In

let (

K)

830

1.20

/ 1.

76

764

2.50

/ 2.

38

846

0.

63 /

0.63

Rec

up. L

P Ex

it (K

) 35

6 0.

41 /

0.86

37

1 0.

88 /

0.85

3

96

0.21

/ 0.

21

Com

pres

sor I

nlet

(K)

285

0.06

/ 0.

09

284

0.12

/ 0.

07

285

0.

03 /

0.03

Com

pres

sor E

xit (

K)

330

0.14

/ 0.

20

350

0.20

/ 0.

18

371

0.

04 /

0.04

Rec

up. H

P In

let (

K)

335

0.19

/ 0.

34

355

0.35

/ 0.

31

377

0.

08 /

0.08

Rec

up. H

P Ex

it (K

) 81

5 1.

23 /

1.88

75

1 2.

63 /

2.53

8

30

0.66

/ 0.

66

Hea

ter I

nlet

(K)

816

1.24

/ 1.

90

751

2.64

/ 2.

55

829

0.

66 /

0.66

Com

pres

sor I

nlet

(kPa

) 43

4 1.

83 /

1.46

39

3 2.

16 /

2.58

4

00

0.34

/ 0.

34

Com

pres

sor E

xit (

kPa)

55

2 2.

05 /

1.46

57

2 2.

14 /

2.55

6

34

0.25

/ .0

25

Rec

up. H

P In

let (

kPa)

55

2 1.

92 /

1.47

56

5 2.

06 /

2.61

6

34

0.31

/ 0.

31

Hea

ter I

nlet

(kPa

) 54

5 1.

88 /

1.50

55

8 2.

07 /

2.67

6

27

0.33

/ 0.

33

Hea

ter E

xit (

kPa)

54

5 1.

91/ 1

.44

558

2.08

/ 2.

58

621

0.

31 /

0.31

Turb

ine

Inle

t (kP

a)

545

1.90

/ 1.

48

558

2.11

/ 2.

63

621

0.

31 /

0.31

Turb

ine

Exit

(kPa

) 43

4 1.

81 /

1.45

39

3 2.

14 /

2.56

4

00

0.34

/ 0.

34

Page 9: Experimental Validation of a Closed Brayton Cycle System Transient Simulation ... · 2013-04-10 · 1 2/15/2006 Glenn Research Center at Lewis Field RPT/pkj Experimental Validation

2/15

/200

69G

lenn

Res

earc

h C

ente

rat

Lew

isFi

eld

RP

T/pk

j

Com

pute

r Mod

el•

The

Clo

sed

Cyc

le S

yste

m S

imul

atio

n (C

CS

S)

–C

lose

d-B

rayt

on-c

ycle

des

ign

and

anal

ysis

tool

•N

umer

ical

Pro

puls

ion

Sys

tem

Sim

ulat

ion

(NP

SS

) mod

elin

g en

viro

nmen

t –

Orig

inat

ed fr

om th

e G

lenn

Res

earc

h C

ente

r in-

hous

e le

gacy

pro

gram

Clo

sed

Cyc

le

Eng

ine

Pro

gram

(CC

EP

) –

CC

SS

mod

els

all o

f the

maj

or B

PC

U c

ompo

nent

s –

Acco

unts

for s

haft

bear

ing

and

win

dage

loss

es a

nd b

leed

flow

pat

hs

–A

repr

esen

tatio

n of

the

BP

CU

sys

tem

was

con

stru

cted

in C

CS

S•

Sim

ulat

ed s

tead

y st

ate

and

ther

mal

tran

sien

ts c

ases

and

com

pare

dto

test

dat

a •

The

CC

SS

BP

CU

mod

el c

an b

e op

erat

ed in

thre

e di

ffere

nt m

odel

ing

mod

es–

Des

ign

•C

ompo

nent

s ar

e si

zed

and

cycl

e st

ate

poin

ts a

re s

peci

fied

to m

eet a

des

ired

perfo

rman

ce

poin

t–

Off-

desi

gn

•H

ardw

are

geom

etrie

s ar

e he

ld fi

xed

from

the

desi

gn c

ase

•Sh

aft r

otat

iona

l spe

ed, g

as in

vent

ory,

hea

ter p

ower

, and

coo

lant

tem

pera

ture

can

be

varie

d–

Tran

sien

t •

Very

sim

ilar t

o of

f-des

ign

mod

e•

Duc

t, re

cupe

rato

r, an

d he

ater

mat

eria

l tem

pera

ture

s be

com

e tim

e-de

pend

ent,

allo

win

g th

erm

al tr

ansi

ents

to b

e ev

alua

ted

Page 10: Experimental Validation of a Closed Brayton Cycle System Transient Simulation ... · 2013-04-10 · 1 2/15/2006 Glenn Research Center at Lewis Field RPT/pkj Experimental Validation

2/15

/200

6

10G

lenn

Res

earc

h C

ente

rat

Lew

isFi

eld

RP

T/pk

j

Syst

em S

chem

atic

2

% B

leed

HeX

e

83.8

Mol

Wt

Ethy

lene

Gly

col

T

Rec

uper

ator

Turb

o-Al

tern

ator

Gas

C

oole

r

Hea

ter

Pow

er

Out

Duct

Duc

t

Duc

t

Duc

t

Duct

Duct

Turb

Comp

Page 11: Experimental Validation of a Closed Brayton Cycle System Transient Simulation ... · 2013-04-10 · 1 2/15/2006 Glenn Research Center at Lewis Field RPT/pkj Experimental Validation

2/15

/200

6

11G

lenn

Res

earc

h C

ente

rat

Lew

isFi

eld

RP

T/pk

j

Mod

el C

ompo

nent

s•

Duc

ts–

Gas

pre

ssur

e dr

op a

nd te

mpe

ratu

re c

hang

e fo

r eac

h du

ct–

Rad

iatio

n he

at lo

ss is

est

imat

ed

–D

uct m

ater

ial t

empe

ratu

re is

mod

eled

with

a lu

mpe

d ca

paci

tanc

e m

etho

d

Qra

dM

FI1

1)

(4

4

+−

=layers

far

mat

rad

NT

TA

σ

)(

gas

mat

cconvec

TT

Ah

Q−

=

mat

mat

out

inmat

Cm

QQ

dtdT−

=

Qco

nvec

Gas

Flo

wTm

at

Page 12: Experimental Validation of a Closed Brayton Cycle System Transient Simulation ... · 2013-04-10 · 1 2/15/2006 Glenn Research Center at Lewis Field RPT/pkj Experimental Validation

2/15

/200

6

12G

lenn

Res

earc

h C

ente

rat

Lew

isFi

eld

RP

T/pk

j

Mod

el C

ompo

nent

s•

Rec

uper

ator

–G

as p

ress

ure

drop

and

tem

pera

ture

cha

nge

–R

adia

tion

heat

loss

is e

stim

ated

–St

ruct

ure

mat

eria

l tem

pera

ture

is m

odel

ed w

ith a

lum

ped

capa

cita

nce

met

hod

QC

old_

conv

ec

Qra

d

Col

d G

as F

low

Tmat

_4

MFI

11

)(

44

+−

=layers

far

mat

rad

NT

TA

σ

)(

gas

mat

cconvec

TT

Ah

Q−

=

mat

mat

out

inmat

Cm

QQ

dtdT−

=

Hot

Gas

Flo

wQ

Hot

_con

vec

12

34

56

78

910

Col

d H

eade

rH

ot H

eade

r

Page 13: Experimental Validation of a Closed Brayton Cycle System Transient Simulation ... · 2013-04-10 · 1 2/15/2006 Glenn Research Center at Lewis Field RPT/pkj Experimental Validation

2/15

/200

6

13G

lenn

Res

earc

h C

ente

rat

Lew

isFi

eld

RP

T/pk

j

Mod

el C

ompo

nent

s•

Hea

t sou

rce

–G

as p

ress

ure

drop

and

tem

pera

ture

cha

nge:

–St

ruct

ure

mat

eria

l tem

pera

ture

is m

odel

ed w

ith a

lum

ped

capa

cita

nce

met

hod

()

μ,m

fxn

Ah c

=()m

fxn

PP

Qco

nvec

Qel

ec

Gas

Flo

w

)(

gas

mat

cconvec

TT

Ah

Q−

=

mat

mat

out

inmat

Cm

QQ

dtdT−

=

Tmat

Page 14: Experimental Validation of a Closed Brayton Cycle System Transient Simulation ... · 2013-04-10 · 1 2/15/2006 Glenn Research Center at Lewis Field RPT/pkj Experimental Validation

2/15

/200

6

14G

lenn

Res

earc

h C

ente

rat

Lew

isFi

eld

RP

T/pk

j

Mod

el C

ompo

nent

s•

Gas

coo

ler

–G

as p

ress

ure

drop

and

tem

pera

ture

cha

nge

–M

ater

ial t

empe

ratu

re is

not

mod

eled

in tr

ansi

ent m

ode

•Tu

rbin

e-al

tern

ator

-com

pres

sor (

TAC

)–

Perfo

rman

ce m

aps

estim

ate

effic

ienc

y an

d pr

essu

re ra

tio fo

r the

turb

ine

and

com

pres

sor (

from

S

DG

TD li

tera

ture

)

–Al

tern

ator

ele

ctro

mag

netic

effi

cien

cy e

xpre

ssed

as

a fu

nctio

n of

shaf

t rot

atio

nal s

peed

and

m

echa

nica

l sha

ft po

wer

(fro

m S

DG

TD li

tera

ture

)–

Shaf

t win

dage

(vis

cous

dra

g) lo

ss, t

hrus

t bea

ring

loss

, and

jour

nal b

earin

g lo

ss a

re e

stim

ated

as

func

tions

of s

haft

cavi

ty p

ress

ure

and

shaf

t rot

atio

nal s

peed

(from

SD

GTD

lite

ratu

re)

–TA

C in

ertia

not

mod

eled

for t

rans

ient

sol

utio

ns

Turb

ine

Pres

sure

Rat

io

Turb

ine

Pres

sure

Rat

io

Bla

de-to

-Jet

Spe

ed R

atio

Com

pres

sor M

ass

Flow

Rat

e

Turbine Mass Flow Rate

Turbine Efficiency

Compressor Pressure Ratio

Compressor Efficiency

Page 15: Experimental Validation of a Closed Brayton Cycle System Transient Simulation ... · 2013-04-10 · 1 2/15/2006 Glenn Research Center at Lewis Field RPT/pkj Experimental Validation

2/15

/200

6

15G

lenn

Res

earc

h C

ente

rat

Lew

isFi

eld

RP

T/pk

j

Mat

chin

g St

eady

-Sta

te D

ata

•G

as in

vent

ory

was

set

so

that

the

heat

er e

xit p

ress

ure

mat

ched

the

test

dat

a •

Hea

ter p

ower

was

set

so

that

the

heat

er e

xit t

empe

ratu

re m

atch

edth

e te

st d

ata

–Lo

wer

than

the

BP

CU

hea

ter s

ettin

g be

caus

e he

ater

loss

es n

ot m

odel

ed•

Eth

ylen

e gl

ycol

tem

pera

ture

was

set

to m

atch

the

BP

CU

com

pres

sori

nlet

tem

pera

ture

Sha

ft ro

tatio

nal s

peed

was

set

to m

atch

the

BP

CU

set

poi

nt

37

kR

PM 4

kW

46

kR

PM 5

kW

52

kR

PM 8

kW

Loc

atio

n D

ata

CC

SS

%D

iff

Dat

a C

CSS

%

Diff

D

ata

CC

SS

%D

iff

Hea

ter E

xit (

K)

913

913

0.00

86

8 86

8 0.

00

978

978

0.00

Turb

ine

Inle

t (K

) 91

5 90

8 -0

.78

871

865

-0.7

8 98

2 97

4 -0

.84

Turb

ine

Exit

(K)

832

834

0.23

77

2 77

0 -0

.18

843

843

0.06

Com

pres

sor I

nlet

(K)

285

285

0.00

28

5 28

5 0.

00

285

285

0.00

Com

pres

sor E

xit (

K)

330

325

-1.4

4 35

0 34

1 -2

.73

371

355

-4.1

3

Rec

uper

ator

HP

Inle

t (K

) 33

5 33

3 -0

.67

355

351

-1.1

1 37

7 36

8 -2

.26

Hea

ter I

nlet

(K)

817

816

-0.0

8 75

8 75

6 -0

.33

823

826

0.32

Hea

ter C

ylin

der (

K)

936

937

0.09

90

3 90

6 0.

27

1022

10

16

-0.5

7

Hea

ter E

xit (

kPa)

55

2 55

2 0.

00

567

567

0.00

61

8 61

8 0.

00

Turb

ine

Inle

t (kP

a)

554

552

-0.3

9 56

9 56

7 -0

.39

620

618

-0.4

2

Turb

ine

Exit

(kPa

) 44

0 44

0 0.

09

402

411

2.12

40

0 41

3 3.

20

Turb

ine

Pres

sure

Rat

io

1.26

1.

25

-0.4

9 1.

41

1.38

-2

.45

1.55

1.

5 -3

.51

Com

pres

sor I

nlet

(kPa

) 43

9 43

6 -0

.63

400

406

1.30

39

7 40

7 2.

36

Com

pres

sor E

xit (

kPa)

56

5 55

6 -1

.46

581

573

-1.4

8 63

5 62

5 -1

.56

Com

pres

sor P

ress

ure

Rat

io

1.29

1.

27

-0.8

3 1.

45

1.41

-2

.74

1.6

1.54

-3

.83

Rec

uper

ator

HP

Inle

t (kP

a)

562

556

-0.9

4 57

8 57

2 -0

.91

632

625

-1.0

5

Hea

ter I

nlet

(kPa

) 55

7 55

5 -0

.39

573

571

-0.3

5 62

7 62

4 -0

.53

Alte

rnat

or P

ower

(Wat

ts)

413

382

-7.4

8 50

7 55

6 9.

65

1141

12

95

13.4

9

Page 16: Experimental Validation of a Closed Brayton Cycle System Transient Simulation ... · 2013-04-10 · 1 2/15/2006 Glenn Research Center at Lewis Field RPT/pkj Experimental Validation

2/15

/200

6

16G

lenn

Res

earc

h C

ente

rat

Lew

isFi

eld

RP

T/pk

j

Mat

chin

g St

eady

-Sta

te D

ata

•A

ll of

the

CC

SS

tem

pera

ture

s w

ere

with

in 1

% o

f the

dat

a–

Exce

ptio

ns w

ere

the

com

pres

sor e

xit t

empe

ratu

re a

nd re

cupe

rato

rhig

h pr

essu

re (H

P)

inle

t tem

pera

ture

, whi

ch w

ere

low

er th

an th

e da

ta b

y as

muc

h as

4.1

%•

Like

ly th

e re

sult

of th

e C

CS

S c

ompr

esso

r pe

rform

ance

map

und

eres

timat

ing

pres

sure

rat

io

and

poss

ibly

ove

rest

imat

ing

effic

ienc

y

•Tu

rbin

e an

d co

mpr

esso

r pr

essu

re r

atio

s w

ere

unde

rest

imat

ed (

betw

een

-0.3

9%

and

-3.8

3%),

parti

cula

rly a

t the

hig

her s

haft

spee

ds•

Alte

rnat

or p

ower

dis

agre

ed w

ith th

e da

ta b

y as

muc

h as

13.

5%–

Unc

erta

inty

in

bear

ing

and

alte

rnat

or l

oss

estim

ates

and

com

pres

sor

and

turb

ine

perfo

rman

ce e

stim

ates

–C

ompr

esso

r and

turb

ine

pow

er a

re v

ery

sens

itive

to p

ress

ure

ratio

•In

crea

se in

com

pres

sor p

ress

ure

ratio

wou

ld re

sult

in m

ore

pow

erco

nsum

ed•

Incr

ease

in tu

rbin

e pr

essu

re ra

tio w

ould

resu

lt in

mor

e po

wer

pro

duce

d by

the

turb

ine

•Tu

rbom

achi

nery

perfo

rman

ce m

ap e

rrors

and

bea

ring

and

alte

rnat

or lo

ss u

ncer

tain

ties

coul

d ea

sily

acc

ount

for t

he p

ower

diff

eren

ces

indi

cate

d by

the

data

Page 17: Experimental Validation of a Closed Brayton Cycle System Transient Simulation ... · 2013-04-10 · 1 2/15/2006 Glenn Research Center at Lewis Field RPT/pkj Experimental Validation

2/15

/200

6

17G

lenn

Res

earc

h C

ente

rat

Lew

isFi

eld

RP

T/pk

j

Mat

chin

g Tr

ansi

ent D

ata

•Th

e B

PC

U s

yste

m w

as o

pera

ted

at c

onst

ant

heat

er e

lect

ric p

ower

and

sha

ft ro

tatio

nal s

peed

Tran

sien

ts w

ere

intro

duce

d to

the

sys

tem

by

chan

ging

ste

pwis

e th

e he

ater

pow

er

and

shaf

t spe

ed s

et p

oint

s•

Sel

ecte

d B

PC

U tr

ansi

ent

case

s us

ed fo

r com

paris

on

•C

CS

S m

odel

was

anc

hore

d at

the

initi

al s

tead

y-st

ate

oper

atin

g po

int

•C

CS

S w

as th

en s

witc

hed

to tr

ansi

ent m

ode

and

shaf

t spe

ed a

nd h

eate

r pow

er w

ere

chan

ged

step

wis

e as

app

ropr

iate

024681012

Tim

e

Heater Power (kW)

01000

0

2000

0

3000

0

4000

0

5000

0

6000

0

Shaft Speed (RPM)

Four

con

secu

tive

tran

sien

ts u

sed

for m

odel

ing

com

paris

on

BP

CU

Set

poin

tsC

CS

S S

etpo

ints

024681012

Tim

eHeater Power (kW)

01000

0

2000

0

3000

0

4000

0

5000

0

6000

0

Shaft Speed (RPM)

Page 18: Experimental Validation of a Closed Brayton Cycle System Transient Simulation ... · 2013-04-10 · 1 2/15/2006 Glenn Research Center at Lewis Field RPT/pkj Experimental Validation

2/15

/200

6

18G

lenn

Res

earc

h C

ente

rat

Lew

isFi

eld

RP

T/pk

j

Mat

chin

g Tr

ansi

ent D

ata

•O

ne w

ould

exp

ect t

he C

CS

S h

eate

r exi

t tem

pera

ture

resu

lts to

mat

ch th

e st

eady

-sta

te te

st

data

poi

nts

(hea

ter p

ower

was

adj

uste

d to

do

so)

•C

CS

S w

as A

LSO

abl

e to

mat

ch th

e sh

ape

of th

e tra

nsie

nt c

urve

bet

wee

n th

e st

eady

-sta

te

poin

ts fo

r bot

h th

e he

ater

inle

t and

hea

ter e

xit t

empe

ratu

res

–C

aptu

red

the

ther

mal

resp

onse

of s

yste

m•

Sha

pe o

f the

recu

pera

torm

ater

ial t

empe

ratu

re p

lot a

lso

trend

s w

ell w

ith th

e da

ta–

Lum

ped

capa

cita

nce

met

hod

used

to m

odel

the

recu

pera

torw

as a

ppro

pria

te

•Al

tern

ator

pow

er w

as o

vere

stim

ated

by

CC

SS

The

shap

e of

the

alte

rnat

or p

ower

tran

sien

t cur

ve a

gree

s w

ell w

ith th

e te

st d

ata

400

450

500

550

600

650

700

750

800

850

900

950

1000

010

020

030

040

050

0Ti

me

(min

)

Temperature (K)

Dat

a

CC

SS

52 k

RPM

, 6 k

W52

kR

PM

, 8 k

W52

kR

PM

, 6 k

W46

kR

PM

, 6 k

W

46 k

RP

M, 6

kW

Hea

ter E

xit

Hea

ter I

nlet

Rec

up M

ater

ial

0

200

400

600

800

1000

1200

1400

010

020

030

040

050

0Ti

me

(min

)

Power (Watts)

Data

CCSS

52 k

RPM

, 6 k

W52

kRP

M, 8

kW

52 k

RPM

, 6 k

W46

kRP

M, 6

kW

46 k

RPM

, 6 k

W

Alte

rnat

or P

ower

Tem

pera

ture

s

Page 19: Experimental Validation of a Closed Brayton Cycle System Transient Simulation ... · 2013-04-10 · 1 2/15/2006 Glenn Research Center at Lewis Field RPT/pkj Experimental Validation

2/15

/200

6

19G

lenn

Res

earc

h C

ente

rat

Lew

isFi

eld

RP

T/pk

j

Com

pone

nt T

rans

ient

Con

trib

utio

ns•

Thre

e th

erm

al tr

ansi

ent c

ompo

nent

s–

Gas

duc

ts (1

1 kg

tota

l), H

eate

r (38

kg)

, and

Rec

uper

ator

(59

kg)

•D

eter

min

e co

mpo

nent

indi

vidu

al c

ontri

butio

ns to

the

syst

em tr

ansi

ent

•G

as d

uct m

ass

cont

ribut

es v

ery

little

to th

e ov

eral

l sys

tem

tran

sien

t •

Hea

ter c

ontri

bute

s th

e m

ost

820

840

860

880

900

920

940

960

980

1000

050

100

150

200

250

300

Tim

e (m

in)

Heater Exit Temperature (K)

Data

CCSS

Hea

ter M

ass

Onl

y

Duc

t Mas

s O

nly

Rec

up M

ass

Onl

y

52 k

RPM

, 6 k

W52

kRP

M, 8

kW

46 k

RPM

, 6 k

W

Page 20: Experimental Validation of a Closed Brayton Cycle System Transient Simulation ... · 2013-04-10 · 1 2/15/2006 Glenn Research Center at Lewis Field RPT/pkj Experimental Validation

2/15

/200

6

20G

lenn

Res

earc

h C

ente

rat

Lew

isFi

eld

RP

T/pk

j

Con

clus

ions

•Te

stin

g to

dat

e ha

s sh

own

that

the

BP

CU

is

able

to

gene

rate

mea

ning

ful,

repe

atab

le d

ata

that

can

be

used

for c

ompu

ter m

odel

val

idat

ion

Res

ults

gen

erat

ed b

y C

CS

S d

emon

stra

ted

that

the

mod

el s

uffic

ient

ly re

prod

uced

th

e th

erm

al tr

ansi

ents

exh

ibite

d by

the

BP

CU

sys

tem

CC

SS

was

als

o us

ed to

mat

ch B

PC

U s

tead

y-st

ate

oper

atin

g po

ints

Cyc

le te

mpe

ratu

res

wer

e w

ithin

4.1

% o

f the

dat

a (m

ost w

ere

with

in 1

%)

–C

ycle

pre

ssur

es w

ere

all w

ithin

3.2

%

–E

rror

in a

ltern

ator

pow

er (

as m

uch

as 1

3.5%

) w

as a

ttrib

uted

to

unce

rtain

ties

in t

he

com

pres

sor a

nd tu

rbin

e m

aps

and

alte

rnat

or a

nd b

earin

g lo

ss m

odel

s

•Th

e ac

quire

d un

ders

tand

ing

of t

he B

PC

U b

ehav

ior

give

s us

eful

ins

ight

for

im

prov

emen

ts to

be

mad

e to

the

CC

SS

mod

el a

s w

ell a

s id

eas

for

futu

re te

stin

g an

d po

ssib

le s

yste

m m

odifi

catio

ns