Ahdab Electrode Resistance

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    MEASUREMENT OF GROUND

    ELECTRODE RESISTANCE

    Professor Ahdab Elmorshedy

    Professor Ahdab Elmorshedy

    When an electrode system has been designedand installed, it is necessary to measure the

    ground resistance between the electrode and

    true Earth.

    The most commonly used method of

    measuring the ground resistance of a ground

    electrode is the 3-point measuring technique

    shown in Figure 1.

    This method is derived from the 4-point

    method, which is used for soil resistivity

    measurements.

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    Professor Ahdab Elmorshedy

    1. Arrangement of the Electrodes for the Fall of Potential Method

    Professor Ahdab Elmorshedy

    The 3-point method, called the fall of

    potential method, comprises the Ground

    Electrode to be measured and two other

    electrically independent test electrodes, usually

    labeled P (Potential) and C (Current).

    These test electrodes can be of lesser quality

    (higher ground resistance) but must be

    electrically independent of the electrode to bemeasured.

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    Professor Ahdab Elmorshedy

    Analternating current (I)is passed through

    the outer electrode C and the voltage is

    measured, by means of an inner electrode P,

    at some intermediate point between them.

    The Ground Resistance is simply calculated

    using Ohms Law; Rg= V/I.

    Professor Ahdab Elmorshedy

    The measurement of ground resistance is as

    much an art as it is a science, and resistance

    measurements can be affected by many

    parameters, some of which may be difficult to

    quantify.

    It is best to take a number of separate readings

    and average them, rather than relay on the resultsof a single measurement.

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    Professor Ahdab Elmorshedy

    The auxiliary test electrode C must be

    positioned far enough from the ground electrodeunder test so that the auxiliary test electrode P

    will lie outside the effective resistance areas of

    both the ground system and the other test

    electrode.

    If the current test electrode, C, is too close, the

    resistance areas will overlap and there will be a

    steep variation in the measured resistance as the

    voltage test electrode is moved.

    Professor Ahdab Elmorshedy

    If the current test electrode is correctly

    positioned, there will be a flat resistance area

    somewhere in between it and the ground system,

    and variations in the position of the voltage test

    electrode should only produce very minor

    changes in the resistance figure.

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    Professor Ahdab Elmorshedy

    The instrument is connected to the groundsystem under test via a short length of test

    cable, and a measurement is taken.

    Measurement accuracy can be affected by the

    proximity of other buried metal objects to the

    auxiliary test electrodes.

    Professor Ahdab Elmorshedy

    Objects such as fences and buildingstructures, buried metal pipes or even othergrounding systems can interfere with themeasurement and introduce errors.

    Often it is difficult to judge, from visualinspection of the site, a suitable location for

    the tests stakes and so it is always advisableto perform more than one measurement toensure the accuracy of the test.

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    Professor Ahdab Elmorshedy

    1. Fall of Potential MethodThis is one of the most common methods

    employed for the measurement of ground

    resistance and is best suited to small systems that

    dont cover a wide area.

    It is simple to carry out and requires a minimal

    amount of calculation to obtain a result.

    Professor Ahdab Elmorshedy

    This method is generallynot suited to large

    grounding installations, as the stake

    separations needed to ensure an accurate

    measurement can be excessive, requiring

    the use of very long test leads (refer to

    Table 1).

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    Professor Ahdab Elmorshedy

    Normally, the outer test electrode, or current test

    stake, is driven into the ground30 to 50 metersaway from the ground system, (although this

    distance will depend on the size of the system

    being tested - refer to Table 1) and

    the inner electrode, or voltage test stake, is then

    driven into the ground mid-way between the

    ground electrode and the current test stake, and in a

    direct line between them.

    Table 1: Variation of current and voltage electrode separation

    with maximum ground system dimensions, in meters.

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    Professor Ahdab Elmorshedy

    Let E be the electrode whose resistance toground is required to be measured and let P

    and Cbe the auxiliary rods driven into the

    ground.

    A known value of current I is circulated

    between C and E, and the voltage drop V

    betweenEandPis measured.

    The resistance of the electrodeEto the ground

    is V/I.

    Professor Ahdab Elmorshedy

    The optimum location for the potential

    electrodePis0.62 of the distance fromE

    to Cwhen the distance D is at least 30

    times the depth of the electrodeE.

    Let the base of the electrode E be a

    hemisphere of (equivalent) radius r and

    the other two electrodes designated asshown in the figure.

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    The potential atEdue to the entering current

    isI/2rand due to the current leaving at Cis -I/2D.

    The total potential atEcan be given by

    D

    I

    r

    IV

    22=

    Similarly the total potential at Pdue to the

    current entering at E and that leaving at C

    can be given by

    )(22 HD

    I

    H

    IV

    =

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    The net potential difference betweenEandPwill be given byV = VE -VP

    =

    )(2222 HD

    I

    H

    I

    D

    I

    r

    IV

    +=

    )(

    1111

    2 HDHDr

    IV

    Professor Ahdab Elmorshedy

    If the resistance curve (Figure 2) between Eand Cis observed, it flattens beyond P (if located

    optimally between Eand C) and the resistance of

    the ground electrode between E and P and that

    betweenEandCare nearly same.

    An upward bend in the resistance curve above,

    near the point C is due to the resistance of the

    auxiliary rod C itself and does not affect

    measurement of the resistance of the main

    electrode E.

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    Therefore the potential difference

    between E and Cand between E and Pwill also be the same.

    Hence, the measured resistance of the

    electrodeEwill be

    I

    VR =

    +=

    )(

    1111

    2 HDHDrR

    wherec = D/randp = H/r.

    But the resistance of the ground electrode is

    R= /2r.

    If the measured value Ris to be equal to R,

    the condition to be satisfied will be

    +=

    pcpcrR 1111

    2

    0111

    =

    +pcpc

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    Professor Ahdab Elmorshedy

    ccccc

    p

    cpcp

    pcpc

    618.02

    1-5

    2

    )4(

    0

    0111

    22

    22

    =

    =

    +=

    =++

    =

    +

    Professor Ahdab Elmorshedy

    From this, it follows thatH = 0.618D will

    satisfy this condition.

    This indicates that for any separation of

    the current electrodes (E and C), the true

    resistance of one of them is obtainable

    when the potential electrode (P) is 61.8%

    of the distance toward the other.

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    Professor Ahdab Elmorshedy

    The Fall of Potential method incorporates a

    check to ensure that the test electrodes arepositioned far enough away for a correct readingto be obtained.

    To perform a check on the resistance figure, twoadditional measurements should be made; thefirst with the voltage test electrode (P) moved10% further away from the ground under test,and the second measurement with the (P)electrode moved 10% closer to the ground undertest.

    Professor Ahdab Elmorshedy

    Professor Ahdab Elmorshedy

    If these two additional measurements are in

    agreement with the original measurement,

    within the required level of accuracy, then the

    test stakes have been correctly positioned and

    the DC resistance figure can be obtained by

    averaging the three results.

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    Professor Ahdab Elmorshedy

    If there is disagreement amongst any of

    these results, then it is likely that the stakes

    have been incorrectly positioned, either by

    being too close to the ground system being

    tested, too close to one another or too close

    to other structures that are interfering with

    the results.

    Professor Ahdab Elmorshedy

    The stakes should be repositioned at a larger

    separation distance or in a different direction

    and the three measurements repeated until a

    satisfactory result is achieved.

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    Professor Ahdab Elmorshedy

    2. The 62% Method

    3. Other Test Methods

    (a) The Slope Method

    (b) The Star-Delta Method

    (c) The Four Potential Method

    Professor Ahdab Elmorshedy

    2. The 62% Method

    The Fall of Potential method can be adapted slightly foruse with medium sized grounding systems.

    This adaptation is often referred to as the 62% Method,as it involves positioning the inner test stake at 62% ofthe ground electrode-to-outer stake separation (recallthat in the Fall-of-Potential method, this figure was50%).

    All the other requirements of test stake location - thatthey be in a straight line and be positioned away from

    other structures - remain valid.When using this method, it is also advisable to repeat

    the measurements with the inner test stake moved 10%of the ground electrode-inner test stake separationdistance, as before.

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    Professor Ahdab Elmorshedy

    The main disadvantage with this method is that

    the theory on which it is based relies on theassumption that the underlying soil is

    homogeneous, which in practice is rarely the

    case.

    Care should be taken in its use and a soil

    resistivity survey should always be carried out.

    Alternatively, one of the other methods should

    be employed.

    Professor Ahdab Elmorshedy

    3. Other Test MethodsMany other methods exist for taking ground

    resistance measurements.

    Many of these methods have been designed in

    an attempt to alleviate the necessity for

    excessive electrode separations, when

    measuring large ground systems, or the

    requirement of having to know the electrical

    center of the system.

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    Professor Ahdab Elmorshedy

    (a) The Slope Method

    This method is suitable for use with large grounding

    systems, such as substation grounds.

    It involves taking a number of resistance measurements atvarious ground system to voltage electrode separationsand then plotting a curve of the resistance variationbetween the ground and the current.

    From this graph, and from data obtained from tables, it ispossible to calculate the theoretical optimum location for

    the voltage electrode and thus, from the resistance curve,calculate the true resistance.

    Professor Ahdab Elmorshedy

    (b) The Star-Delta MethodThis technique is well suited to use with large

    systems in built up areas or on rocky terrain,where it may be difficult to find suitable locationsfor the test electrodes, particularly over longdistances in a straight line.

    Three test electrodes are used, set up at thecorners of anequilateral trianglewith theground

    system in the middleand measurements are madeof the total resistance between adjacentelectrodes, and also between each electrode andthe grounding system.

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