Resistive SCFCL

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    Thesis 1

    RESISTIVE SUPERCONDUCTING

    FAULT CURRENT LIMITER

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    Contribution of this Thesis

    Simulations Simulations were carried out on the resistive

    SCFCL in order better to understand its

    minimise the problems facing it. Simulations

    of the shielded-inductive SCFCL were also

    carried out in order to aid comparisons

    between it and the resistive SCFCL.

    The simulations:

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    Contribution of this Thesis

    1. Enabled design trade-offs for the resistive SCFCLto be established on a quantitative basisbetween the length and the critical currentdensity of the superconducting film, the type ofsu s ra e ma er a , e va ue o e app evoltage per unit length across the film, and theperformance of the resistive SCFCL.

    2. Enabled the impact of a shunt resistor on the

    reduction of transient overvoltages in theresistive SCFCL to be evaluated.

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    Contribution of this Thesis

    3. Showed how the weak parts problem in the

    resistive SCFCL could be reduced or eliminated by

    increasing the applied voltage per unit length across

    the superconducting film, by the application of an

    externally magnetic field on the film from a shunt orseries connected boost coil, and by using a high

    thermal conductivity substrate such as sapphire.

    4. Enabled design trade-offs for the shielded-inductive

    SCFCL to be formulated and comparisons to bemade between it and the resistive SCFCL.

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    Contribution of this Thesis

    Measurements

    Measurements were carried out on a series ofsuperconducting samples under various voltagesand angles of fault occurrence. Measurements

    achieved: Superconductor sample with no externally

    applied magnetic field.

    Superconductor sample with shunt boost coil. Superconductor sample with series boost coil.

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    Contribution of this Thesis

    Measurements showed that:

    1. The rise in temperature of the superconductor

    sample during the fault period can be decreased by

    connecting a shunt coil across the sample.

    2. Superconductor samples can deal with a highernumber of successive faults when using a shunt

    boost coil compared with a series boost coil or no

    such a coil.

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    Contribution of this Thesis

    3. Transient overvoltages across thesuperconductor sample are higher when a

    series boost coil is used.

    .

    superconducting samples is more likely when

    the temperature of the sample is higher than

    the critical temperature.

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    Sources of Losses in the ResistiveSCFCL: A Critical Review

    1. Current Leads: There are two types ofcurrent leads: conventional and

    superconducting current leads. There are two

    namely, conduction cooled and vapour

    cooled current leads.

    2. Electric Contacts: The current leads are

    connected to the HTSs through electriccontacts.

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    Sources of Losses in the ResistiveSCFCL: A Critical Review

    3. AC Losses

    4. Radiation Losses.

    Total Losses: minimum value of the total loss

    1.372AI108.5I0.5R0.03787Iq2

    csc

    -62

    ccct +++= l

    Costs per year are: 13.63 when using super

    insulation material with the bucket, 110.14when using an aluminium bucket and 192.27

    when using a brass bucket.

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    There is an optimum value of (I L/A) which gives the

    minimum value of (QC/I) for each lead system.

    Temperature

    distribution

    along thecurrent lead in

    conduction

    cooled leads

    Temperature

    distribution

    along the

    current lead in

    vapour cooled

    leads

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    (QC/I) versus (I L/A) for both conduction cooledand vapour cooled leads

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    Introduction

    Behaviour of the resistive SCFCL is determined bythe parameters of the superconducting film suchas length, critical current density, and type ofsuperconducting material.

    It is also affected by an externally appliedmagnetic field generated for instance by a seriesor shunt coil, by the type of substrate material onwhich the superconducting film is deposited, and

    by the thermal characteristics of the coolingliquid in which the film is immersed.

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    Design Parameters of theSuperconducting Film

    T < Tc and J > Jc ( ) ( )( )

    JJ

    77TTT1TJ, c77

    c

    cksc

    =

    T > Tc ( )( )90-T1010-8-6

    +=sc

    tAC

    iRT

    sc

    2

    limsc =scl

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    Tsc, ilim, Rsc, and vsc for a short superconductingfilm (10cm) when Jc= 10A/mm

    2

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    Tsc, ilim, Rsc, and vsc for a medium superconductingfilm (50cm) when Jc= 10A/mm

    2

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    Tsc, ilim, Rsc, and vsc for a long superconductingfilm (10m) when Jc= 10A/mm

    2

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    Effect of lsc andJc

    0

    0,2

    0,4

    0,6

    0,8

    1

    10 20 30 40 50

    Firstpeaklimited

    current/peak

    prospective

    current(-)

    Jc=10A/mm^2 Jc=100A/mm^2

    0

    2

    4

    6

    8

    10

    12

    10 20 30 40 50

    Fifthpeaklimitedcurrent/peak

    nominalcurrent(-)

    Length (cm)

    Jc=10A/mm^2 Jc=100A/mm^2

    Length (cm)

    77

    127

    177

    227

    277

    327

    10 20 30 40 50

    Tempe

    rature(K)

    Length (cm)

    Jc=10A/mm^2 Jc=100A/mm^2

    0

    2

    4

    6

    8

    10

    10 20 30 40 50

    Transientovervoltage/peakinput

    voltage(-)

    Length (cm)

    Jc=10A/mm^2 Jc=100A/mm^2

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    Effect of the input voltage and Jc

    0

    0,2

    0,4

    0,6

    0,8

    1

    40 80 120 160 200

    Firstpeaklimitedcurrent/peak

    prosp

    ectivecurrent(-)

    Peak input voltage (cm)

    Jc=10A/mm^2 Jc=100A/mm^2

    0

    2

    4

    6

    8

    10

    12

    40 80 120 160 200

    Fifthpe

    aklimited

    current/peaknominalcurrent

    (-)

    Peak input voltage (V)

    Jc=10A/mm^2 Jc=100A/mm^2

    77

    177

    277

    377

    477

    40 80 120 160 200

    Tem

    perature(K)

    Peak input voltage (V)

    Jc=10A/mm^2 Jc=100A/mm^2

    0

    200400

    600

    800

    1000

    1200

    1400

    10 30 50 70 90 110 130 150 170 190

    Peakinputvoltage(V)

    Length (cm)

    Jc=10A/mm^2 Jc=100A/mm^2

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    Tscof the weak and major parts when Jc= 10A/mm2

    lsc = 10cm lsc = 60cm

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    Tsc of the weak and major parts whenJc = 100A/mm2

    lsc = 10cm lsc = 60cm

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    Tsc of the weak and major parts when

    Jc= 10A/mm2, lsc= 60cm, and Vinp = 160V Jc= 100A/mm

    2, lsc= 60cm, and Vinp = 380V

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    Tsc of the 10 sections whenJc = 10A/mm2

    lsc= 10cmlsc= 60cm

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    Tsc of the 10 sections whenJc = 100A/mm2

    lsc= 10cm lsc= 60cm

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    Conclusion1. Increasing lsc is desirable if instantaneous limitationand recovery with no excessive current dives or

    overvoltages are required. However, increasing

    increases the volume of the FCL and the losses undernon-fault conditions.

    2. IncreasingJc is desirable as this effectively limits the

    au curren . owever, or g c, e

    superconducting film can survive only if it is so

    homogeneous that its whole length quenches

    simultaneously.

    3. In a long limiter length or in a limiter consisting ofmany samples connected in series, the fault current

    may be limited by only a small fraction of the limiter

    while most of its length stays below Tc.

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    Conclusion4. Increasing the voltage per unit length across the

    superconducting film could be a reliable way of

    solving the weak parts problem in superconducting

    samples with lowJc. However, it is not effective in

    samples with highJc.

    5. Increasing Tsc during the limiting period is not safeas it is relies on the opening of a circuit breaker to

    remove the current. If for any reason the circuit

    breaker opening is delayed, the likelihood is that

    the superconducting film will be damaged andthere is a consequent risk that the resistive SCFCL

    will be totally destroyed.

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    Simulation of Resistive SCFCL with

    Shunt Resistor and Boost Coils

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    Introduction

    The first problem can be reduced by

    connecting a shunt resistor across thesuperconducting film. The second problemcan be reduced by designing the resistive

    SCFCL so that the critical currents of the weakand major parts of the superconducting filmand of the different sections of a multisectionfilm are below the limited current. This could

    be done by applying a magnetic field to thesuperconducting film during the fault period.

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    Maximum Tsc during the fault period and thenormalised first peak of both ilim and isc whenJc= 10A/mm2 and lsc = 10cm

    0,6

    0,8

    1

    227

    277

    327

    ited

    pective

    e(K)

    0

    0,2

    0,4

    77

    127

    177

    0,1 1 10

    Firstpeaklim

    current/peakpro

    current

    (-

    Temperat

    ur

    Shunt resistance (ohm)

    Tsciscilim

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    Waveforms ofvsc

    during the fault period for

    different Rsh when Jc= 10A/mm2 and lsc =

    10cm

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    Waveforms of weak part and major part temperaturewhen lsc = 60cm,Jc= 10A/mm

    2

    Rsh = 0.1 Rsh = 10

    The weak parts problem becomes worse when using a shunt resistor

    and small values ofRsh are worse than high values. This is becausethe shunt resistor decreases isc, which helps the major part to stay

    below the critical temperature, so that the fault is then limited by the

    weak part only.

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    Effect of Connecting a Shunt Boost

    Coil across the Resistive SCFCL

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    Superconducting film contains only one smallweak part

    Jc= 100A/mm2Jc= 10A/mm

    2

    The weak parts problem is diminished when a magnetic

    field is applied from a shunt boost coil. However, the

    problem still exists, especially with highJc.

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    Multisection superconducting film

    Jc= 10A/mm2 and lsc = 60 cm Jc= 100A/mm

    2 and lsc = 10 cm

    The problem is nearly solved. However, a higher magneticfield would be required to quench all 10 sections.

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    Effect of Connecting a Series Boost

    Coil with the Resistive SCFCL

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    Values ofKc, Lseries and Rseries of theseries boost coil

    Values ofKc and the corresponding impedancesof the coil estimated for six designs of boost coil

    same core different number of turns .

    Kc (T/A) 0.0125 0.01 0.005 0.0025 0.002 0.001

    L (mH) 1.7 1.088 0.272 0.068 0.04352 0.01088

    R (m) 34 27.2 13.6 6.8 5.44 2.72

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    Superconducting film contains only one small weakpart forJc = 10A/mm

    2, lsc = 60cm, and Kc = 0.002T/A

    With this small value ofKc, the two parts quenchsimultaneously, however, the above design is accompanied

    by high overvoltages ofvsc

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    Multisection superconducting film

    Jc

    = 10A/mm2,

    = 60cm

    Jc

    = 100A/mm2,

    = 10cm

    Jc

    = 100A/mm2,

    = 60cm

    Q NQ Q NQ Q NQ

    Without boost coil 3 7 7 3 1 9

    With shunt boost coil

    (perpendicular field)

    8 2 9 1 1 9

    Kc = 0.0125T/A

    With series boost coil

    (Parallel field)

    9 1 10 0 10 0

    Kc = 0.002T/A Kc = 0.001T/A Kc = 0.01T/A

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    Conclusion

    1. Use of a shunt resistor is advantageous with high

    Jc but cannot be used with lowJc films. Low valuesofRsh are not preferred. Transient overvoltages

    can be reduced by using a shunt resistor.

    2. Use of a shunt boost coil is accompanied bysignificant transient overvoltages. Perpendicular

    magnetic field is preferred when a shunt boost

    coil is used. It helps to reduce the weak parts

    problems but seems not to solve it completely.Finally, large coils are required to generate high

    magnetic fields.

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    Simulation of Resistive SCFCL

    with Different Substrates

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    Introduction There are several substrates available and several

    deposition methods for HTS. LaAlO3 (Lanthanum

    Aluminate), Al2O3 (Sapphire), YSZ (Yttria StabilisedZirconia), STO (Strontium Titanate), and MgO

    (Magnesium Oxide) substrates are used for YBCO films.

    e erma con uc v y o e su s ra e p ays a grea

    role in the removal of heat from the superconductingfilm during the fault period.

    If the superconducting film is deposited on a low

    thermal conductivity substrate then the heat removedto the substrate will be small. However, if a high

    conductivity substrate was used then the heat removed

    will be improved.

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    Heat transfer between thesuperconducting film and liquid nitrogen

    +=

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    Heat transfer between thesuperconducting film and substrate

    T

    T1

    T2

    Layer 1

    Layer 2

    Superconducting film

    Substrate

    [ ] [ ]

    +

    =

    2

    1

    2

    1

    2

    1

    .

    .

    U

    U

    B

    .

    .

    T

    T

    A

    .

    .

    T

    T

    Tm = 77 K

    Tm-1

    m-ayer m-

    Layer m

    Surface in contact with liquid nitrogen

    DUCXY

    BUAXX

    +=

    +=

    [ ] [ ]

    +

    =

    m

    2

    1

    m

    2

    1

    m

    2

    1

    mm

    .

    m

    U.

    .

    U

    U

    D

    T.

    .

    T

    T

    C

    T.

    .

    T

    T

    UT

    T

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    Heat transfer between thesuperconducting film and substrate1

    22

    22

    222

    222

    22

    0

    00

    0

    k

    B,

    -

    0k2k-0000

    0002k-k00000k2k-k0

    0000k2k-k

    00000kk-

    A

    =

    =M

    L

    L

    MMMOMMMM

    L

    L

    L

    L

    2

    22

    2

    22

    1

    222

    dCk,

    VC

    1kwhere

    0

    0

    0

    0

    0

    0

    0

    D,

    1000000

    0100000

    0010000

    0001000

    0000100

    0000010

    0000001

    C

    00000000

    ==

    =

    =

    M

    L

    L

    L

    MMMOMMMM

    L

    L

    L

    L

    L

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    Heat transfer between thesuperconducting film and substrate

    MgO STO YSZ

    Thermal conductivity (W/m.K) 40.6 20 1.4

    Specific heat capacity (J/m3.K) 3 106 1.216 106 2.5 106

    Thermal

    conductivity for

    single crystal

    sapphire

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    177

    227

    277

    erature(K)

    Sapphire YSZ

    77

    127

    0 0,2 0,4 0,6 0,8 1

    T

    emp

    Distance (mm)

    Temperature along the axis of

    the substrateTscwhen usingdifferent substrates

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    Temperature distribution for

    Sapphire substrate layers

    Temperature distribution for

    YSZ substrate layers

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    200

    250

    300

    (V)

    10A/mm^2

    100A/mm^2

    0

    50

    100

    150

    YSZ STO MgO Sapphire

    Voltage

    Substrate material

    Maximum allowable input voltage with different substrate materials

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    Effect of Substrate on the Weak Parts Problem

    STO substrate MgO substrate

    Neither STO nor MgO substrates are effective in solvingthe weak parts problem.

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    Sapphire, Jc = 100A/mm2, lsc

    = 10cm, and peak Vin = 80V

    Sapphire, Jc = 100A/mm2, lsc =

    60cm, and peak Vin = 400V

    Sapphire substrate appears to solve small disturbances in

    the temperatures of the different sections.

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    Conclusion1. Liquid nitrogen has a negligible effect on Tsc during

    the limitation time.

    2. The thermal conductivity of the substrate plays amajor role in absorbing heat from the

    superconducting film during and after the fault

    , sc

    voltage per unit length. This effect increases whenincreasingJc. Absorption of more heat decreases

    the recovery time of the film.

    3. YSZ, STO and MgO substrates have no effect on

    solving any weak parts problem. However, sapphire

    substrates can solve a mild weak parts problem but

    fail in solving a severe weak parts problem.

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    Simulation of the Shielded-

    Inductive SCFCL

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    Laboratory Set-up and

    Ex erimental Procedures

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    Introduction

    Magnetic fields applied to the superconductingsample can be generated from a boost coil

    connected in series or in parallel with the

    superconducting sample. This coil can have either an

    .

    of both types of coil are covered. Irons higher permeability is expected to result in

    improved figures of weight, resistance and

    inductance. In order to ensure a uniform magnetic

    field on the superconducting sample, it is envisagedthat the superconducting sample is located in an air

    gap in the iron circuit.

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    95

    55

    55

    5

    10

    55

    15

    35

    Configuration of the iron

    core used for the iron-

    cored coil (dimensions in

    mm)

    2

    8

    5

    55

    10

    55

    10

    10

    5

    58

    101

    0

    1

    (a) (b) (c)

    Configuration of the pieces

    of material used for

    insulating coil from the

    iron core and keeping the

    veroboard in uprightposition (dimensions in

    mm)

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    1010

    3

    Current probes

    Voltage probes

    1234

    51

    51

    3

    Superconductor sample

    Schematic diagram of the DC 4-

    terminal method

    Superconducting sample (dimensions in mm)

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    Circuits used for measuring I-Vcharacteristics of thesuperconducting sample

    DC input

    voltage

    Pulsed

    voltage

    tnt

    Current Probe

    Am lifier

    Line resistance

    Gate

    DriveInstrumentation

    Amplifier

    Digital

    Storage

    Oscilloscope

    Superconducting

    Sample

    CurrentMeas

    ureme

    Voltage Measurement

    IRF540

    MOSFET

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    Measuring the I-VCharacteristics of theSuperconducting Sample

    8,0E-04

    1,0E-03

    1,2E-03

    (V/cm)

    0 mT

    11 mT

    22 mT

    34 mT

    57.75 mT

    0,0E+00

    2,0E-04

    4,0E-04

    6,0E-04

    0 4 8 12 16 20

    Electricfield,

    E

    Current density, J (A/mm^2)