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