This document discusses various topics related to earthing design including:
1. Calculating the necessary cross-sectional area of conductors to carry grid fault current and prevent dangerous surface potentials.
2. Factors that influence surface current density such as soil resistivity, time to clear faults, and temperature limits.
3. Formulas to evaluate the cross-section of conductors based on mechanical and electrical requirements.
4. Techniques for measuring soil resistivity like taking readings in multiple directions to generate a polar curve and account for variability.
2. Essentials of Earthing DesignEssentials of Earthing Design
Crossection Area Current Density Dangerous
Potentials
Resistance
The Crossection of Continuous Step potential Horizontal Plane
F
The Crossection of
the conductor to
be sufficient for
carrying GRID
Continuous
surface current
density
Step potential Horizontal Plane
Touch potential Vertical Plane
O
R
carrying GRID
fault current
Instantaneous
Surface current
Mesh Potential Mutual resistance
G
O
Surface current
density
GPR
T
T
Transfer PotentialE
N
safety thru design 2
PASS PASS PASSPASS OK
3. Crossection areaCrossection area
• Equation 37 of IEEE 80 2000
• This formulae is good for above ground
conductorconductor
• Enthalpy of vaporization decreases with
increase in temperature.
• For a large grid the fault current getsFor a large grid the fault current gets
multiple parallel paths hence Tm
doesn’t pose a problem.
• If the Tm is allowed to rise beyond a y
limit in smaller grids or pits the water
molecules beyond a point water
instantaneously vaporizes and escapes
from the soil surrounding theC d
Heat of Heat of from the soil surrounding the
conductor.
• Tm also applies to surface layer coating
or cover.
Compound
At 1000C
vaporization
(kJ mol‐1)
vaporization
(kJ kg−1)
Water 40.65 2257 or cover.
safety thru design 3
4. Evaluation of CrossectionEvaluation of Crossection
M h i l El t i lMechanical Electrical
Tm 1510 99
T 20 20Ta 20 20
TCAP 3.28 3.28
tc 1 0.3c
αr 0.0016 0.0016
ρr 15.9 15.9
I 25 25
K0 605 605
A 199 41 349 54A 199.41 349.54
safety thru design 4
6. Long term Surface Current DensityLong term Surface Current Density
Th l t f t tl t th• The long term surface currents are seen mostly at the
following points
– Neutral pitsp
– Harmonic filters
– PT’s and CT’s etc…
• The surface area of few electrodes are as follows• The surface area of few electrodes are as follows
– 600X600 mm plate =0.72 m2 Capacity= 28.8 A
– 1000X1000 mm plate = 2.0 m2 Capacity= 80.0 Ap p y
– 40mm 3m length pipe=0.37m2 Capacity= 14.5 A
• If the unbalance current in a large system is 68A, the 2Nos.
Of 600X600mm plate will be insufficient Heat will beOf 600X600mm plate will be insufficient. Heat will be
generated in the neutral pit and it will deteriorate. We may
need larger plate size, or the 3rd plate.
safety thru design 6
7. Short Term Surface Current DensityShort Term Surface Current Density
I h id f ll• In case the grid parameters are as follows:
– 15m X 12m grid, with 3m spacing
147 t 30 d i d d t– 147mt 30mm rod is used as conductor
– The surface area of the conductor thus is 13.85m2
If the soil resistivity is 100 Ωm and clearing time is 0 3sec– If the soil resistivity is 100 Ωm and clearing time is 0.3sec
the max IG the grid can handle is only 1387A/m2.
– Hence the maximum possible fault current the grid can p g
handle in 13.85m2 is 19KA.
• If the fault current IG is more than 19 KA then the grid
will fail, as the temperature around the conductor will
rise and steam the water.
safety thru design 7
8. Symbol unit Value
Fault Current IG KA 23000 Input
Diameter of electrode d m 0.04 Input
Length of Electrode
Soil ls m 37 Input
l 1 IWater lw m 1 Input
Resistivity
Soil ρs Ωm 360 Input
Water ρ Ωm 2 InputWater ρw Ωm 2 Input
Resistance
Soil Rs Ω 12.25394 Equation 55 IEEE 80 2000
Water R Ω 1 368891 Equation 55 IEEE 80 2000Water Rw Ω 1.368891 Equation 55 IEEE 80 2000
Combined Rc Ω 1.231338
Permissible Current Density
Soil σ A/m2 730.9304 Clause 15.2 BS7340σs A/m 730.9304 Clause 15.2 BS7340
Water σw A/m2 9806.46 Clause 15.2 BS7341
Area
Soil As m2 4.6472 πdlss s
Water Aw m2 0.1256 πdlw
Current Division Resistance Capacity Design
Soil 2311.1568 3396.779785 1
Water 20688.843 1231.691433 17
safety thru design 8
9. Polar Curve for Single PointPolar Curve for Single Point
safety thru design 9
10. Polar curve
•Resistivity taken in min 8
directions
•Angular distance between
readings 450
C ti l I t l t th•Cautiously Interpolate the
readings to 7.50
•Join the Points to form a
polar curvepolar curve
•Calculate the area of the
polar curve
•Draw equivalent Circular q
area
•Radius of the circle is the
average soil resistivity
h h d l l•This method is particularly
beneficial when the
resistivity varies significantly
in different directions
safety thru design 10
12. 3D Plot of Soil Resistivity3D Plot of Soil Resistivity
safety thru design 12
13. Equal Earth Conductor SpacingEqual Earth Conductor Spacing
EARTHING LAYOUT EVALUATION Grid1 Grid 2 Grid3 Grid4 Total Values
Real Soil resistivity σs 724.25 724.25 724.25 724.25
Soil resistivity after TEREC+ Application σ 307.81 307.81 307.81 307.81y pp
Soil resistivity of washed 0.025 to 0.050m in gravel σs 5000.00 5000.00 5000.00 5000.00
Length of the earth mat Lx 125.00 175.00 175.00 25.00 200.00
Breadth of the earth mat Ly 75.00 100.00 50.00 150.00 150.00
Assumed spacing for the conductors D 5.50 5.50 5.50 5.50
Area of earth mat AG 9375.00 8125.00 8125.00 4375.00 30000.00
Permissible step voltage Estep 4019.71 4019.71 4019.71 4019.71
E step Es 1341.19 1390.38 1210.15 1168.07
Permissible touch voltage Etouch 1127 96 1127 96 1127 96 1127 96Permissible touch voltage Etouch 1127.96 1127.96 1127.96 1127.96
Emesh Em 1051.41 1116.88 1016.25 1126.61
Total quantity of conductors laid Lc 3602.74 3134.82 3134.82 1723.20 11595.58
Grid Resistance (Schwarz) Rg 1.33 1.39 1.43 1.90 0.37
safety thru design 13
14. Variable Earth conductor SpacingVariable Earth conductor Spacing
EARTHING LAYOUT EVALUATION G id1 G id 2 G id3 G id4 T t l V lEARTHING LAYOUT EVALUATION Grid1 Grid 2 Grid3 Grid4 Total Values
Real Soil resistivity σs 535.00 679.00 744.00 939.00
Soil resistivity after TEREC+ Application σ 227 38 288 58 316 20 399 08Soil resistivity after TEREC+ Application σ 227.38 288.58 316.20 399.08
Soil resistivity of washed 0.025 to
0.050m in gravel
σs 5000.00 5000.00 5000.00 5000.00
Length of the earth mat Lx 125.00 175.00 175.00 25.00 200.00
Breadth of the earth mat Ly 75.00 100.00 50.00 150.00 150.00
A d i f th d t D 6 10 5 70 6 20 5 80 5 95Assumed spacing for the conductors D 6.10 5.70 6.20 5.80 5.95
Area of earth mat AG 9375.00 8125.00 8125.00 4375.00 30000
Permissible step voltage Estep 4001.44 4015.34 4021.61 4040.44
E step Es 1254.24 1319.35 1131.73 1108.32
Permissible touch voltage Etouch 1123.40 1126.87 1128.44 1133.15
Emesh Em 1115 98 1107 60 1091 72 1131 89
safety thru design 14
Emesh Em 1115.98 1107.60 1091.72 1131.89
Total quantity of conductors laid Lc 3267.42 3031.15 2801.25 1640.91 10740.73
Grid Resistance (Schwarz) Rg 0.99 1.31 1.49 2.49 0.35
15. ComparisonComparison
S C G id i bl G idSI.No. Constant Grid Variable Grid
Conductor Length 11595 m 10740 m
Difference in Mesh 110 V 40 VDifference in Mesh
Potential
110 V 40 V
Difference in Step
Potential
222 V 180 V
Potential
Grid Resistance 0.37 0.35
Economics 94 Lcs 82 Lcs
Variable grid may be Techno commercially more Viable compared to an equal spacing grid
safety thru design 15
22. Formulae to Calculate ResistanceFormulae to Calculate Resistance
f l t thi• for plate earthing
R = (ρ/4)* sqrt(π/2A)
• for pipe earthingfor pipe earthing
R = (ρ/2πL)* [ln(8L/d)‐1]
• for strip earthing
R=(ρ/PπL)* [ln(2L2 /(wh))+ Q]
• for grid earthing
R ρ[(1/L )+ (1/sqrt(20A) (1+ (1/1+h) sqrt(20A)R=ρ[(1/LT)+ (1/sqrt(20A) (1+ (1/1+h) sqrt(20A)
Is Material of the grid important for achieving resistance?Is Material of the grid important for achieving resistance?
No. If corrosion factor is taken care of
safety thru design 22
23. Relook at Alternating CurrentRelook at Alternating Current
C i f• Current is not movement of
charge or holes.
• In Alternating Current theIn Alternating Current, the
charge actually does not
travel at all. It only vibrates
i i i iin its mean position.
• Across a Cross section area,
the vibration begins withthe vibration begins with
one charge and increases to
the maximum number of
h i if icharges signifying
amplitude of the sinusoidal
AC waveform.
safety thru design 23
24. Relook at Alternating TensionRelook at Alternating Tension
• The extent of movement
of the charge from the
iti i d tmean position is due to a
prevailing Tension (similar
to force) exerted duringto force) exerted during
positive or negative cycle.
• More tension creates• More tension creates
greater displacement of
the particle from thethe particle from the
Crossection surface.
safety thru design 24
25. Relook at Alternating EnergyRelook at Alternating Energy
• It is the ENERGY that is• It is the ENERGY that is
transferred thru vibrating charges
across a Crossection to the next
adjoining Crossection. j g
• Current is the movement of the
disturbance and not the charge.
The Energy transferred is
lproportional to
• the number charges vibrating,
• the displacement of the charges
f h i i dfrom the mean position and
• the number of vibrations per
second
Thi i f d h• This energy is transferred thru
series and parallel circuits to
obtain desired results
safety thru design 25
26. EarthEarth
E th i h ith• Earth is a huge mass with
enormous amount of
charges.
• Energy is applied to earth,
spreads, the displacement
of charge from the mean g
position progressively
reduces.
• Finally the displacement orFinally the displacement or
tension becomes
infinitesimal. In normal
condition charges in EARTHcondition charges in EARTH
appear stable with hardly
any tension.
safety thru design 26
33. Tackling Different FrequenciesTackling Different Frequencies
f d d• Dissipation of energy depends on
Earth loop impedance.
• High frequency signals encounter g q y g
high inductive impedance if the
loop length is long. Hence the
Ground path needs to be as shortGround path needs to be as short
as physically possible.
• As ground is a dielectric, it is also
d h l l d fgood to have a plate electrode for
higher displacement current.
• Higher frequencies do not enter g q
deep earth, hence it is imperative
to have more number of shallow
earthearth
• Use Earth Bond
safety thru design 33
34. Revisit your Earth GridRevisit your Earth Grid
D h th E th id d d b t• Do you have the Earth grid drg. and subsequent
record of changes conducted in your premises
• Is Earth pit reading in the grid different at• Is Earth pit reading in the grid different at
different places
• Has the Source increased• Has the Source increased
• Has number of feeders or distributors changed
A U b l d H i b i ti f• Are Unbalances and Harmonics been existing for
a long time.
• Is off schedule maintenance a regular feature• Is off schedule maintenance a regular feature
• GET YOUR SELF AUDITED
safety thru design 34
35. Who can be an AuditorWho can be an Auditor
• H i K l d f• Having Knowledge of
– IEEE 80 2000 for substation
– IEEE 665 1995 for Generating Station
– IEEE 142 1991 for Industrial establishment
f h– IEEE 81 1993 for Earthing Measurements
– IEEE 1100 for powering and grounding electronic equipments.
– IEEE 575 for sheath bonding and induced voltages
– BS 7340 1998 Code of practice for Earthing
IEC 62305 P t 1 t P t 4– IEC 62305 Part 1 to Part 4
– NFPA 70 and NFPA 780
– API RP 2003 for statics and lightning protection
– And many more ref. texts
H i R i it i t t h k it l t i t• Having Requisite equipments to check vital parameters using stray
current filters.
• Has the desired National and International Experience to Audit
Refineries– Refineries
– Power Stations etc.
• Should be a Solution providerp
safety thru design 35
37. Rejuvenation of live gridRejuvenation of live grid
• Measure the soil resistivity with• Measure the soil resistivity with
– Stray current filter
– Variable frequency
High and low current injection probe– High and low current injection probe
• Make polar graph for accurate soil resistivity
• Design the earth grid as per IEEE 80 2000 as if it was for the new grid
Th f f iti th it b l 1 7% f th f• The surface area of exiting earth pit may be only 1‐7% of the surface area
of the entire Earth grid.
• May involve multiple layer/tier of peripheral correction.
U i li d t i d t k li d t ti• Use specialized manpower trained to work on live yard or station
• New trenching can be very tedious. It may cut across existing HV, LV or
control cables
At th d f ti All th th it h ld h l t• At the end of correction, All the earth pits should have almost same
resistance value without any pit correction
safety thru design 37
41. Sigma EarthSigma Earth
•The Energy after leaving the electrode encounters different
k d f l h fl f lkinds of soil where reflection factor comes into play
•Sigma earth ensures that artificial treatment compounds are
laid in a specific geometric pattern to minimize the reflection
•Thru proper calculation, can achieve less than 1 ohm in veryThru proper calculation, can achieve less than 1 ohm in very
hard soil.
•Used for Independent Electronic Earth or reference earth
safety thru design 41
42. Iris earthIris earth
• One earth sensor is put inside an old• One earth sensor is put inside an old
or new pit.
• Various parameters like date,
location, value etc are logged in every
sensor.
• The sensor is programmed to alarm
on few criteria’s.
• There is multiple level of alarm• There is multiple level of alarm.
• A peripheral command center (PCC)
can talk to approximately 100 earth
pits.
• A hand held tester is provided to
check the earth pit conditions
remotely
• The PCC can be locally connected to a• The PCC can be locally connected to a
local Laptop and a remote Server on
LAN or GSM.
safety thru design 42
43. Geomagnetic Storms caused by Solar
Flares or CME
• Earth’s magnetic field being
pushed out of the way by the
nuclear explosion or solar storm
f ffollowed by the field being restored
to its natural place.
•This process can produce geo‐
magnetically induced currents in
long electrical conductors (like
power lines) which can damage or
d l fdestroy power line transformers.
safety thru design 43
44. Nasa warns solar flares 'huge
space storm'cause devastation
• According to VERY rough• According to VERY rough
calculations, that solar flare was
approximately 250,640 km tall,
and 342,050 km wide. ,
• To put that in perspective, the
Earth is about 12,756 km in
diameter. That means it was
b h ll dabout 19.6 Earths tall and 27
Earths wide.
• In a new warning, Nasa said the
super storm nearing 2013 wouldsuper storm nearing 2013 would
hit like “a bolt of lightning” and
could cause catastrophic
consequences for the world’s
• March 1989 (Quebec)
– 480nT/min, Knocked out power
to 6 million people in 92 seconds
• May 1921q
health, emergency services and
national security unless
precautions are taken
– Up to 4,800nT/min
• Sept. 1859 (Carrington event)
– 2,000 to 5,000nT/min
• NOW 2013‐2023
safety thru design 44
NOW 2013 2023
– Expected 5000nT/min
45. What will happen to our GridsWhat will happen to our Grids
• All long transmission lines,
Railway lines, Pipelines will
withstand the impact of GICwithstand the impact of GIC
• Incorporation of
– Neutral
• Resistors
• Capacitors with shunt
switch
– Series Capacitors
safety thru design 45