18
Design of an ICRF plasma thruster antenna by TOPICA Citation for published version (APA): Vecchi, G., Lancellotti, V., & Maggiora, R. (2006). Design of an ICRF plasma thruster antenna by TOPICA. In Proceedings of 48th Annual Meeting of the Division of Plasma Physics, October 30 - November 3 2006, Philadelphia, Pennsylvania (pp. 1-17). (Bulletin of the American Physical Society; Vol. 51). Document status and date: Published: 01/01/2006 Document Version: Publisher’s PDF, also known as Version of Record (includes final page, issue and volume numbers) Please check the document version of this publication: • A submitted manuscript is the version of the article upon submission and before peer-review. There can be important differences between the submitted version and the official published version of record. People interested in the research are advised to contact the author for the final version of the publication, or visit the DOI to the publisher's website. • The final author version and the galley proof are versions of the publication after peer review. • The final published version features the final layout of the paper including the volume, issue and page numbers. Link to publication General rights Copyright and moral rights for the publications made accessible in the public portal are retained by the authors and/or other copyright owners and it is a condition of accessing publications that users recognise and abide by the legal requirements associated with these rights. • Users may download and print one copy of any publication from the public portal for the purpose of private study or research. • You may not further distribute the material or use it for any profit-making activity or commercial gain • You may freely distribute the URL identifying the publication in the public portal. If the publication is distributed under the terms of Article 25fa of the Dutch Copyright Act, indicated by the “Taverne” license above, please follow below link for the End User Agreement: www.tue.nl/taverne Take down policy If you believe that this document breaches copyright please contact us at: [email protected] providing details and we will investigate your claim. Download date: 29. Mar. 2021

Design of an ICRF plasma thruster antenna by TOPICA · New developed TOPICA Underway as per the collisional plasma model Magnetic field profile. 5 PFA Plasma Facing Antenna Group

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  • Design of an ICRF plasma thruster antenna by TOPICA

    Citation for published version (APA):Vecchi, G., Lancellotti, V., & Maggiora, R. (2006). Design of an ICRF plasma thruster antenna by TOPICA. InProceedings of 48th Annual Meeting of the Division of Plasma Physics, October 30 - November 3 2006,Philadelphia, Pennsylvania (pp. 1-17). (Bulletin of the American Physical Society; Vol. 51).

    Document status and date:Published: 01/01/2006

    Document Version:Publisher’s PDF, also known as Version of Record (includes final page, issue and volume numbers)

    Please check the document version of this publication:

    • A submitted manuscript is the version of the article upon submission and before peer-review. There can beimportant differences between the submitted version and the official published version of record. Peopleinterested in the research are advised to contact the author for the final version of the publication, or visit theDOI to the publisher's website.• The final author version and the galley proof are versions of the publication after peer review.• The final published version features the final layout of the paper including the volume, issue and pagenumbers.Link to publication

    General rightsCopyright and moral rights for the publications made accessible in the public portal are retained by the authors and/or other copyright ownersand it is a condition of accessing publications that users recognise and abide by the legal requirements associated with these rights.

    • Users may download and print one copy of any publication from the public portal for the purpose of private study or research. • You may not further distribute the material or use it for any profit-making activity or commercial gain • You may freely distribute the URL identifying the publication in the public portal.

    If the publication is distributed under the terms of Article 25fa of the Dutch Copyright Act, indicated by the “Taverne” license above, pleasefollow below link for the End User Agreement:www.tue.nl/taverne

    Take down policyIf you believe that this document breaches copyright please contact us at:[email protected] details and we will investigate your claim.

    Download date: 29. Mar. 2021

    https://research.tue.nl/en/publications/design-of-an-icrf-plasma-thruster-antenna-by-topica(288cdf43-4e76-403b-b163-973fd0d8705f).html

  • 1

    Plasma Facing

    PFA

    Antenna Group

    PO

    LIT

    EC

    NIC

    O

    DI

    TO

    RIN

    OAPS-D

    PP m

    eeting, Phila

    delp

    hia

    , 2 N

    ove

    mber

    2006

    Desig

    n o

    f an

    IC

    RF

    pla

    sm

    a

    thru

    ste

    r an

    ten

    na b

    y T

    OP

    ICA

    48th

    Annual M

    eeting o

    f th

    e D

    ivis

    ion o

    f Pla

    sm

    a P

    hysic

    s o

    f

    The A

    merican P

    hysic

    al Socie

    ty

    Octo

    ber 30-N

    ovem

    ber 3, 2006 -

    Phila

    delp

    hia

    , Pennsylv

    ania

    , U

    SA

    G. Vecchi, V

    . Lancello

    tti, R

    . M

    aggio

    raP

    olit

    ecn

    ico d

    i T

    orino,

    Italy

  • 2

    Plasma Facing

    PFA

    Antenna Group

    PO

    LIT

    EC

    NIC

    O

    DI

    TO

    RIN

    OAPS-D

    PP m

    eeting, Phila

    delp

    hia

    , 2 N

    ove

    mber

    2006

    Ele

    ctr

    om

    ag

    neti

    c T

    hru

    ste

    rs

    •Advanta

    ges

    –Ele

    ctrode-less d

    esig

    n

    (inje

    cting e

    nerg

    y into

    pro

    pella

    nt gas) suitable

    for

    hig

    h p

    ow

    er density a

    nd

    long c

    om

    ponent lif

    e

    –M

    agnetic c

    onfinem

    ent of

    the p

    ropella

    nt so to a

    void

    m

    echanic

    al nozzle

    sW

    ork

    ing p

    rincip

    le–

    Pla

    sm

    a is e

    nerg

    ized v

    ia e

    lectrom

    agnetic fie

    ld:

    couplin

    g radio

    fre

    quency p

    ow

    er to

    the p

    lasm

    a (IC

    RF)

    Exam

    ple

    : th

    e V

    ASIM

    R E

    M thru

    ste

    r

  • 3

    Plasma Facing

    PFA

    Antenna Group

    PO

    LIT

    EC

    NIC

    O

    DI

    TO

    RIN

    OAPS-D

    PP m

    eeting, Phila

    delp

    hia

    , 2 N

    ove

    mber

    2006

    Ob

    jec

    tive

    •FE

    M c

    ode

    new

    ly d

    evelo

    ped to g

    et th

    e p

    lasm

    a

    Gre

    en’s

    function

    •TO

    PIC

    A c

    ode’s

    main

    structu

    re rem

    ain

    unchanged

    •W

    arm

    pla

    sm

    a tensor w

    ith a

    bsorp

    tion (IC

    ) te

    rms

    •H

    ybrid a

    ppro

    ach (Fourier expansio

    n +

    fin

    ite

    ele

    ments

    ) to

    solv

    e for EM

    fie

    lds in the p

    lasm

    a

    Exte

    ndin

    g the p

    resent TO

    PIC

    A c

    ode (used for

    fusio

    n) to

    handle

    2D

    axia

    lly s

    ym

    metric

    radia

    lly

    inhom

    ogeneous c

    ylin

    dricalpla

    sm

    as

  • 4

    Plasma Facing

    PFA

    Antenna Group

    PO

    LIT

    EC

    NIC

    O

    DI

    TO

    RIN

    OAPS-D

    PP m

    eeting, Phila

    delp

    hia

    , 2 N

    ove

    mber

    2006

    EM

    th

    ruste

    r b

    lock m

    od

    el

    Input:

    •density a

    nd

    tem

    pera

    ture

    pro

    file

    s

    (physic

    s m

    odelin

    g)

    •Pla

    sm

    a flo

    w v

    elo

    city

    (pla

    sm

    a s

    yste

    m

    modelin

    g)

    •M

    agnetic fie

    ld

    (consta

    nt alo

    ng a

    xis

    ) (d

    esig

    n)

    •Ante

    nna g

    eom

    etry

    (desig

    n)

    •Fre

    quency o

    f opera

    tion (desig

    n)

    Outp

    ut:

    •In

    put ante

    nna c

    ircuit

    model (Z

    )

    •Pow

    er to

    pla

    sm

    a

    •C

    urrents

    , field

    s e

    tc.

    Helic

    on

    ICR

    HM

    agnetic

    nozzle

    ei

    out

    Tn

    m,

    ,&

    ⊥iT

    nm

    ,,&

    Thrust

    vm

    exhaust,

    ,&

    Couple

    dPow

    er

    Magnetic

    field

    Magnetic

    field

    Couple

    dPow

    er

    Magnetic

    field

    Gas

    pre

    ssure

    Helic

    on

    ICR

    HM

    agnetic

    nozzle

    ei

    out

    Tn

    m,

    ,&

    ⊥iT

    nm

    ,,&

    Thrust

    vm

    exhaust,

    ,&

    Couple

    dPow

    er

    Magnetic

    field

    Magnetic

    field

    Couple

    dPow

    er

    Magnetic

    field

    Gas

    pre

    ssure

    New

    develo

    ped

    TO

    PIC

    A

    Underw

    ay a

    s per

    the c

    olli

    sional pla

    sma m

    odel

    Magnetic

    field

    pro

    file

  • 5

    Plasma Facing

    PFA

    Antenna Group

    PO

    LIT

    EC

    NIC

    O

    DI

    TO

    RIN

    OAPS-D

    PP m

    eeting, Phila

    delp

    hia

    , 2 N

    ove

    mber

    2006

    An

    ten

    na m

    od

    eli

    ng

    Thru

    ster

    wall

    Loop a

    nte

    nnas

    Separa

    tion s

    urf

    ace

    betw

    een t

    he

    ante

    nna r

    egio

    n a

    nd t

    he p

    lasm

    a f

    low

  • 6

    Plasma Facing

    PFA

    Antenna Group

    PO

    LIT

    EC

    NIC

    O

    DI

    TO

    RIN

    OAPS-D

    PP m

    eeting, Phila

    delp

    hia

    , 2 N

    ove

    mber

    2006

    TO

    PIC

    A a

    pp

    roach

    •Separa

    tion b

    etw

    een a

    nte

    nna regio

    nand p

    lasm

    a

    flow

    by m

    eans o

    f th

    e E

    quiv

    ale

    nce P

    rincip

    le

    •Full-

    wave a

    nd s

    elf-c

    onsis

    tent fo

    rmula

    tion leads

    to tw

    o c

    ouple

    d inte

    gra

    l equations

    •W

    arm

    magnetized p

    lasm

    a d

    escription w

    ith the

    rele

    vant te

    nsor G

    reen’s

    function

    •Pla

    sm

    a e

    ffect at separa

    tion s

    urface: azim

    uth

    al

    and longitudin

    al Fourier + radia

    l finite e

    lem

    ent

    solu

    tion

    •M

    eth

    od-o

    f-M

    om

    ents

    num

    erical solu

    tion o

    f ante

    nna p

    roble

    m (in

    tegra

    l equations →

    linear

    syste

    m); triangula

    r-fa

    cet m

    esh

  • 7

    Plasma Facing

    PFA

    Antenna Group

    PO

    LIT

    EC

    NIC

    O

    DI

    TO

    RIN

    OAPS-D

    PP m

    eeting, Phila

    delp

    hia

    , 2 N

    ove

    mber

    2006

    Matr

    ix f

    orm

    of

    the f

    orm

    ula

    tio

    n

    []

    []

    []

    [][

    ][]

    []

    [][

    ] =

    HZ

    ZE

    ZM

    IZ

    GG

    G

    GG

    P

    T

    0

    0

    0

    0

    22

    12

    12

    11

    /

    /

    []

    []

    []

    []

    []

    []P

    T

    P

    TT

    GG

    GG

    GG

    ≠==

    22

    22

    11

    11

    where

    Ele

    ctric

    -ele

    ctric

    in v

    acuum

    Ele

    ctric

    -magnetic in

    vacuum

    Magnetic-m

    agnetic in

    vacuum

    Pla

    sm

    a c

    ontrib

    ution

    Sourc

    e

    contrib

    ution

    Unknow

    n c

    oeffic

    ients

  • 8

    Plasma Facing

    PFA

    Antenna Group

    PO

    LIT

    EC

    NIC

    O

    DI

    TO

    RIN

    OAPS-D

    PP m

    eeting, Phila

    delp

    hia

    , 2 N

    ove

    mber

    2006

    TO

    PIC

    A c

    od

    e o

    verv

    iew

    ICR

    H U

    NIT

    DR

    AW

    ING

    PR

    E-

    PR

    OC

    ES

    SIN

    GV

    AC

    UU

    M R

    EG

    ION

    (SP

    AT

    IAL

    DO

    MA

    IN)

    PL

    AS

    MA

    RE

    GIO

    N

    (SP

    EC

    TR

    AL

    DO

    MA

    IN)

    SO

    LV

    ER

    MO

    DU

    LE

    CU

    RR

    EN

    T &

    FIE

    LD

    VIS

    UA

    LIZ

    AT

    ION

    CY

    LIN

    DR

    ICA

    L W

    AR

    M

    PL

    AS

    MA

    GR

    EE

    N’S

    F

    UN

    CT

    ION

    AN

    TE

    NN

    A P

    AR

    AM

    ET

    ER

    S

    New

    module

    s

    develo

    ped to

    cope w

    ith a

    thru

    ste

    r pla

    sm

    a

  • 9

    Plasma Facing

    PFA

    Antenna Group

    PO

    LIT

    EC

    NIC

    O

    DI

    TO

    RIN

    OAPS-D

    PP m

    eeting, Phila

    delp

    hia

    , 2 N

    ove

    mber

    2006

    Warm

    pla

    sm

    a d

    iele

    ctr

    ic t

    en

    so

    r

    •R

    adia

    llyin

    hom

    ogeneous a

    xis

    -sym

    metric

    magnetized

    warm

    pla

    sm

    a

    •Pla

    sm

    a flo

    w v

    elo

    city is

    taken into

    account as

    well

    •Pla

    sm

    a tensor

    obta

    ined in the

    spectral (F

    ourier)

    dom

    ain

    via

    a reduced

    ord

    er fo

    rmula

    tion

  • 10

    Plasma Facing

    PFA

    Antenna Group

    PO

    LIT

    EC

    NIC

    O

    DI

    TO

    RIN

    OAPS-D

    PP m

    eeting, Phila

    delp

    hia

    , 2 N

    ove

    mber

    2006

    Pla

    sm

    a G

    reen

    ’s f

    un

    cti

    on

    (1)

    •M

    axw

    ell’

    s c

    url e

    quations w

    ithin

    the c

    ylin

    drical

    warm

    pla

    sm

    a a

    re c

    ast in

    cylin

    drical coord

    inate

    s

    and turn

    ed into

    the s

    pectral (m

    ,kz) Fourier

    dom

    ain

    •Fie

    lds s

    till

    depend o

    n the radia

    l coord

    inate

    r

    •The p

    lasm

    a e

    nte

    rs v

    ia its

    die

    lectric

    tensor

    •Equations a

    re s

    olv

    ed v

    ia a

    1D

    Fin

    ite E

    lem

    ent

    Meth

    od s

    chem

    e a

    dopting s

    ub-d

    om

    ain

    triangula

    r puls

    es a

    s b

    asis

    and test fu

    nctions

  • 11

    Plasma Facing

    PFA

    Antenna Group

    PO

    LIT

    EC

    NIC

    O

    DI

    TO

    RIN

    OAPS-D

    PP m

    eeting, Phila

    delp

    hia

    , 2 N

    ove

    mber

    2006

    •The tangential ele

    ctric

    fie

    ld c

    om

    ponents

    Eθ, E

    z

    field

    com

    ponents

    are

    enfo

    rced a

    t th

    e s

    epara

    tion

    surface b

    etw

    een a

    nte

    nna a

    nd p

    lasm

    a regio

    ns

    •The tangential m

    agnetic fie

    ld c

    om

    ponents

    Hθ, H

    z

    are

    com

    pute

    d (FE

    M s

    olu

    tion), w

    hence G

    reen’s

    function c

    an b

    e d

    erived

    Pla

    sm

    a G

    reen

    ’s f

    un

    cti

    on

    (2)

    =

    zz

    zz

    zz

    zz

    zz

    EE

    km

    Yk

    mY

    km

    Yk

    mY

    H

    θ

    θθθ

    θ)

    ,(

    ),

    (

    ),

    ()

    ,(

  • 12

    Plasma Facing

    PFA

    Antenna Group

    PO

    LIT

    EC

    NIC

    O

    DI

    TO

    RIN

    OAPS-D

    PP m

    eeting, Phila

    delp

    hia

    , 2 N

    ove

    mber

    2006

    Exa

    mp

    le:

    an

    ten

    na &

    pla

    sm

    a d

    ata

    Pla

    sm

    a s

    pecie

    s: ele

    ctrons, H

    e3 ions

    Fre

    quency: f = 0

    .763 M

    Hz

    Density a

    t cente

    r: n

    e0 =

    5.5

    5e19 1

    /m^3

    Density a

    t edge: nes

    = 0

    1/m

    ^3

    Radiu

    s: a =

    0.0

    115 m

    Axia

    l m

    agnetic fie

    ld: B0 =

    0.2

    T

    Ion v

    elo

    city: VH

    e= 8

    000 m

    /s

    Perp

    . io

    n tem

    p.: T

    Heper= 1

    eV

    Par. ion tem

    p.: T

    Hepar= 1

    ev

    Ele

    ctron v

    elo

    city: Ve

    = 8

    000 m

    /s

    Perp

    . eln

    tem

    p.: T

    eper= 4

    .7 e

    V

    Par. e

    lnte

    mp.: T

    epar= 4

    .7 e

    V

  • 13

    Plasma Facing

    PFA

    Antenna Group

    PO

    LIT

    EC

    NIC

    O

    DI

    TO

    RIN

    OAPS-D

    PP m

    eeting, Phila

    delp

    hia

    , 2 N

    ove

    mber

    2006

    Pla

    sm

    a G

    reen

    ’s f

    un

    cti

    on

    Yθθ

  • 14

    Plasma Facing

    PFA

    Antenna Group

    PO

    LIT

    EC

    NIC

    O

    DI

    TO

    RIN

    OAPS-D

    PP m

    eeting, Phila

    delp

    hia

    , 2 N

    ove

    mber

    2006

    YθzP

    lasm

    a G

    reen

    ’s f

    un

    cti

    on

  • 15

    Plasma Facing

    PFA

    Antenna Group

    PO

    LIT

    EC

    NIC

    O

    DI

    TO

    RIN

    OAPS-D

    PP m

    eeting, Phila

    delp

    hia

    , 2 N

    ove

    mber

    2006

    YzzP

    lasm

    a G

    reen

    ’s f

    un

    cti

    on

  • 16

    Plasma Facing

    PFA

    Antenna Group

    PO

    LIT

    EC

    NIC

    O

    DI

    TO

    RIN

    OAPS-D

    PP m

    eeting, Phila

    delp

    hia

    , 2 N

    ove

    mber

    2006

    Pre

    lim

    inary

    resu

    lts

    in

    vacu

    um

    J d

    istrib

    ution o

    n

    ante

    nnas a

    nd

    aperture

    J d

    istrib

    ution o

    n

    thru

    ste

    r w

    all

    M d

    istrib

    ution o

    n

    the a

    perture

  • 17

    Plasma Facing

    PFA

    Antenna Group

    PO

    LIT

    EC

    NIC

    O

    DI

    TO

    RIN

    OAPS-D

    PP m

    eeting, Phila

    delp

    hia

    , 2 N

    ove

    mber

    2006

    •TO

    PIC

    Ahas b

    een s

    uccesfu

    lly e

    xte

    nded to h

    andle

    cylin

    dricalw

    arm

    pla

    sm

    as

    met in

    IC

    RF u

    nits o

    f EM

    thru

    ste

    rs

    •Arb

    itra

    rily

    shaped a

    nte

    nnas c

    an b

    e m

    odelle

    d

    •R

    esults in v

    acuum

    has b

    een v

    alid

    ate

    d a

    gain

    st

    sta

    ndard

    EFIE

    appro

    ach

    •R

    esults in p

    lasm

    a a

    re c

    urr

    ently b

    ein

    g o

    bta

    ined a

    nd

    com

    parisons w

    ith m

    easure

    ments

    (w

    here

    availa

    ble

    )

    will

    be c

    arr

    ied o

    ut

    •Exte

    nsio

    n to the p

    lasm

    a g

    enera

    tion u

    nit is o

    ngoin

    g

    Co

    nclu

    sio

    ns