C-5 Insulation Resistance Calculations.pptx

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    Insulation Resistance Calculations of

    Airfield Lighting Circuits

    35TH

    ANNUAL HERSHEY CONFERENCE

    Joseph Vigilante, PE

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    Presentation Objective

    To develop a formula to calculate insulation resistance

    for an airfield lighting circuit and provide theoretical

    and real-life examples.

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    Presentation Agenda

    Cable insulation resistance (IR) background

    FAA IR guideline recommendations

    Formula development

    Airfield lighting circuit calculations Summary

    Open Q&A

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    Anatomy of insulation current flow

    Capacitance charging currents, C

    Absorption current, RA

    Conduction current, RL

    Circuit model

    DC VOLTAGESOURCE

    RA

    C

    RL

    S

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    Anatomy of insulation current flow

    CURRENT-MICROAM

    PERES

    100

    90

    80

    70

    60

    50

    40

    30

    25

    20

    15

    10

    9

    8

    7

    6

    5

    4

    3

    2.5

    2

    1.5

    1

    0.1 0.15 0.2 0.25 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1.0 1.5 2 2.5 3 4 5 6 7 8 9 10

    SECONDS

    CAPACITANCE CHARGING CURRENT

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    Anatomy of insulation current flow

    CURRENT-MICROAM

    PERES

    100

    90

    80

    70

    60

    50

    40

    30

    25

    20

    15

    10

    9

    8

    7

    6

    5

    4

    3

    2.5

    2

    1.5

    1

    0.1 0.15 0.2 0.25 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1.0 1.5 2 2.5 3 4 5 6 7 8 9 10

    SECONDS

    CAPACITANCE CHARGING CURRENT

    ABSORPTION

    CURRENT

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    Anatomy of insulation current flow

    CURRENT-MICROAM

    PERES

    100

    90

    80

    70

    60

    50

    40

    30

    25

    20

    15

    10

    9

    8

    7

    6

    5

    4

    3

    2.5

    2

    1.5

    1

    0.1 0.15 0.2 0.25 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1.0 1.5 2 2.5 3 4 5 6 7 8 9 10

    SECONDS

    CAPACITANCE CHARGING CURRENT

    ABSORPTION

    CURRENT

    CONDUCTION

    CURRENT

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    Anatomy of insulation current flow

    CURRENT-MICROAM

    PERES

    100

    90

    80

    70

    60

    50

    40

    30

    25

    20

    15

    10

    9

    8

    7

    6

    5

    4

    3

    2.5

    2

    1.5

    1

    0.1 0.15 0.2 0.25 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1.0 1.5 2 2.5 3 4 5 6 7 8 9 10

    SECONDS

    CAPACITANCE CHARGING CURRENT

    TOTAL

    CURRENT

    ABSORPTION

    CURRENT

    CONDUCTION

    CURRENT

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    Types of insulation resistance testing

    Short-time/spot reading

    0 TIME 60 sec

    MEGOHM

    S

    VALUE READ AND

    RECORDED

    TIME (MONTHS)

    MEGOHMS

    VALUES CHARTED

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    Types of insulation resistance testing

    Time-resistance method

    0 TIME 10 Min

    MEGOHM

    S

    INSULATION

    SUSPECT

    INSULATION

    PROBABLY OK

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    Testing airfield lighting circuits

    AC 150/5340-30F, Design & Installation Details for

    Airport Visual Aids - Chapter 12, Equipment &

    Material, Section 13, Testing

    50MNon-grounded series circuits

    FAA-C-1391, Installation & Splicing of Underground

    Cable

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    Resistance values for maintenance

    AC 150/5340-26B, Maintenance of Airport Visual Aid

    Facilities

    Suggested minimum values

    10,000 ft. or less - 50M

    10,000 ft. 20,000 ft. - 40M

    20,000+ ft. - 30M

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    FAA-C-1391 Installation & Splicing of Underground Cables

    Spot Test

    Take readings no less than 1 minute after readings

    stabilized

    Cable IR values = 50M, 40M& 30M

    Loop IR reduced due to parallel summation

    Cable IR never less than above values

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    Insulation resistance formula

    Constant current series lighting circuit Provides for parallel summation of circuit components

    3 components

    L-824 cable

    L-823 cable connectors

    L-830 isolation transformers

    RT RN RC

    I

    V

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    FAA minimum IR values

    L-824 cable AC 150/5345-7E, Specification

    for L-824 Underground Electrical

    Cable for Airport Lighting Circuits

    Table 1, Test #9 > ICEA S-96-659, Section 7.11.2

    Corresponding to IR Constant

    50,000 M - k-ft. at 15.6C

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    FAA minimum IR values

    L-823 cable connectors AC 150/5345-26D, FAA

    Specification for L-823

    Plug and Receptacle, Cable

    Connectors Section 5.1Type I Connectors

    75,000 M

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    FAA minimum IR values

    L-830 isolation transformers AC 150/5345-47C, Specification for

    Series to Series Isolation Transformers

    for Airport Lighting Systems

    Table 3 Insulation Resistance 7,500 M

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    Base formula

    1/IR = 1/RC + 1/RN + 1/RT

    RT RN RC

    I

    VIR

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    Cable equation

    The insulation resistance of cable for a certain length canbe calculated by the following formula:

    Where: RC = Insulation resistance in Megohms of cable

    K = Specific IR in Megohms - k ft at 60 F of insulation

    D = Outer diameter of insulation

    d = Outer diameter of bare copper wire

    L = Length of airfield cable in feet

    Value of K for EPR insulation = 50,000 Megohms

    =

    1000

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    Cable equation

    JACKET

    INSULATION

    CONDUCTOR

    OD

    D d

    D= 9.18 mm

    d= 4.58 mm

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    Cable equation

    =

    1000

    RC = 50,000 M-k ft * Log ( 9.18/4.58) * (1,000/L)

    RC = 15,098,860 M/ L

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    Connector equation

    The insulation resistance of L-823 connector splicescan be calculated by the following formula:

    RN = Rc/Nc

    Where: RN = Insulation resistance in Megohms of all connectors

    Rc = Insulation resistance of L-823 connector splice

    Nc = Quantity of L-823 connector splices

    RN = 75,000M/Nc

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    Isolation transformer equation

    The insulation resistance of L-830 isolationtransformers can be calculated by the following

    formula:

    RT = Rt/NtWhere:

    RT = Insulation resistance in Megohms of all transformers

    Rt = Insulation resistance of L-830 isolation transformers

    Nt = Quantity of L-830 isolation transformers

    RT = 7,500M/Nt

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    Base formula

    RT RN RC

    I

    V

    1

    =

    15,098,860 +

    75,000 +

    7,500 M

    IR

    1/IR = 1/RC + 1/RN + 1/RT

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    Developing IR calculation formula

    L-823 Connector L-830 Isolation

    Transformer

    L-824 Series Lighting Cable

    Supply

    Return

    Section 1 Section 2

    Section 3

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    Section 1 Section 2

    Section 3

    Developing IR calculation formula

    L-823 Connector L-830 Isolation

    Transformer

    L-824 Series Lighting Cable

    Insulation

    Resistance to

    Earth

    Earth Ground

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    Developing IR calculation formula

    L-823 Connector

    Insulation

    Resistance to

    Earth

    Earth Ground

    Supply

    L-824 Series Lighting Cable

    1 1

    = 15,098,860

    + 75,000

    M

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    Developing IR calculation formula

    L-823 ConnectorL-830 Isolation

    Transformer

    L-824 Series Lighting Cable

    Insulation

    Resistance to

    Earth

    Earth Ground

    M1 2=

    15,098,860+

    75,000+

    7,500

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    Developing IR calculation formula

    L-824 Series Lighting Cable

    Insulation

    Resistance to

    Earth

    Earth Ground

    L-823 Connector

    Return

    1

    3=

    15,098,860+

    75,000 M

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    Developing IR calculation formula

    M

    1

    = 1 1

    + 1 2

    + 13

    =1

    1 1 +

    1 2 +

    1 3

    IRsection 3IR total IRsection 2IRsection 1

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    Calculation example

    Vault

    CCR

    SECTION 1

    SECTION 2

    SECTION 3

    Handhole

    Handhole

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    Calculation example

    Section 1:

    Cable = 5,000 feet

    Connectors = 2

    Isolation XFMRs = 0

    Section 2:Cable = 20,500 feet

    Connectors = 224

    Isolation XFMRs = 112

    Section 3:

    Cable = 5,000 feet

    Connectors = 2

    Isolation XFMRs = 0

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    Calculation Example

    Vault

    CCR

    Handhole

    Handhole

    Section 1:Cable = 5,000 feet

    Connectors = 2

    Isolation XFMRs = 0

    =

    ,,

    +

    ,

    = .0003578

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    Calculation Example

    =

    ,

    ,,+

    ,+

    ,= .0192777

    Section 2:Cable = 20,500 feet

    Connectors = 224

    Isolation XFMRs = 112

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    Calculation Example

    Vault

    CCR

    Handhole

    Handhole

    =

    ,,

    +

    ,

    = .0003578

    Section 3:Cable = 5,000 feet

    Connectors = 2

    Isolation XFMRs = 0

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    Calculation Example

    IR total= 50 M

    Circuit length is 30,500 ft, so the circuit IR is well over the

    recommended minimum value.

    1

    2=

    20,500

    15,098,860+

    224

    75,000+

    112

    7,500= .0192777

    1 1 = 500015,098,860 + 275,000 = .0003578

    1

    3=

    5000

    15,098,860+

    2

    75,000= .0003578

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    Modifying a circuit

    Vault

    CCR

    SECTION 1

    SECTION 2

    SECTION 3

    Handhole

    Handhole

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    Modifying a circuit

    Assume:

    Segment 1:

    Cable = 5,000 feet

    Connectors = 2

    Isolation XFMRs = 0

    Segment 2:Cable = 20,500 feet

    Connectors = 430

    Isolation XFMRs = 215

    Segment 3:

    Cable = 5,000 feet

    Connectors = 2Isolation XFMRs = 0

    Total circuit:

    IRsection1 = 2,795 M

    IRsection3 = 2,795 M

    IRsection2:

    RC = 50,000 * Log ( 9.18/4.58) * (1,000/L) =15,098,860/20,500 =755 M

    RN = 75,000/Nc = 75,000/430= 174 M

    RT = 7,500/Nt = 7,500/215 = 35 M

    IRsection2 = 1/(1/755 + 1/35 + 1/174)IRsection2 = 28 M

    IR = 1/ ( 1/2,795 + 1/28+ 1/2,795 )

    IR = 27.4 M

    Each circuit modification warrants a reevaluation of the IR for that circuit

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    Modifying a circuit

    Total circuit IR = 27.4 M

    Circuit Length = 30,500 feet

    Recommended value for +20k feet circuit = 30 M

    If you remove the transformer component,

    the circuit IR = 128 M

    C t d l M i IR f TDZ Ci it

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    Case study example: Measuring IR of a TDZ Circuit

    Total circuit IR = 33.2 MCircuit Length = 16,430 feet

    10k-ft20k-ft = 40 M

    W/O Transformers; IR = 164.3

    Measured value = 58.10 M

    Section 1:Cable = 1,615 feet

    Connectors = 5

    Isolation XFMRs = 0

    Section 2:

    Cable = 13,200 feet

    Connectors = 365

    Isolation XFMRs = 180

    Section 3:

    Cable = 1,615 feet

    Connectors = 5

    Isolation XFMRs = 0

    C t d mpl M ri IR f REL Cir it

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    Case study example: Measuring IR of a REL Circuit

    Total circuit IR = 61.6 MCircuit Length = 30,857 feet

    + 20k-ft = 30 M

    Measured value = 998 M

    Section 1:Cable = 1,540 feet

    Connectors = 5

    Isolation XFMRs = 0

    Section 2:

    Cable = 27,777 feet

    Connectors = 180

    Isolation XFMRs = 90

    Section 3:

    Cable = 1,540 feet

    Connectors = 5

    Isolation XFMRs = 0

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    Summary

    Good engineering practice to perform circuit load andinsulation resistance calculations

    Best practiceestablish field test baseline and trackresults

    Standards provide recommended values - reductions areallowed

    Check & verify transformers, connectors and cable typesand sizes

    Minimum allowable component valueshigher factory

    test values High initial field value does not necessarily indicate a

    good circuit

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    Questions